Exposing More Parallelism By Tearing Algebraic Equations in ODESystems

Sometimes it can be very non-trivial to parallelize a system. In this tutorial we will demonstrate how to make use of structural_simplify to expose more parallelism in the solution process and parallelize the resulting simulation.

The Component Library

The following tutorial will use the following set of components describing electrical circuits:

using ModelingToolkit, OrdinaryDiffEq

# Basic electric components
@variables t
const D = Differential(t)
@connector function Pin(;name)
    @variables v(t)=1.0 i(t)=1.0 [connect = Flow]
    ODESystem(Equation[], t, [v, i], [], name=name)
end

function Ground(;name)
    @named g = Pin()
    eqs = [g.v ~ 0]
    compose(ODESystem(eqs, t, [], [], name=name), g)
end

function ConstantVoltage(;name, V = 1.0)
    val = V
    @named p = Pin()
    @named n = Pin()
    @parameters V=V
    eqs = [
           V ~ p.v - n.v
           0 ~ p.i + n.i
          ]
    compose(ODESystem(eqs, t, [], [V], name=name), p, n)
end

@connector function HeatPort(;name)
    @variables T(t)=293.15 Q_flow(t)=0.0 [connect = Flow]
    ODESystem(Equation[], t, [T, Q_flow], [], name=name)
end

function HeatingResistor(;name, R=1.0, TAmbient=293.15, alpha=1.0)
    @named p = Pin()
    @named n = Pin()
    @named h = HeatPort()
    @variables v(t) RTherm(t)
    @parameters R=R TAmbient=TAmbient alpha=alpha
    eqs = [
           RTherm ~ R*(1 + alpha*(h.T - TAmbient))
           v ~ p.i * RTherm
           h.Q_flow ~ -v * p.i # -LossPower
           v ~ p.v - n.v
           0 ~ p.i + n.i
          ]
    compose(ODESystem(
        eqs, t, [v, RTherm], [R, TAmbient, alpha],
        name=name,
    ), p, n, h)
end

function HeatCapacitor(;name, rho=8050, V=1, cp=460, TAmbient=293.15)
    @parameters rho=rho V=V cp=cp
    C = rho*V*cp
    @named h = HeatPort()
    eqs = [
           D(h.T) ~ h.Q_flow / C
          ]
    compose(ODESystem(
        eqs, t, [], [rho, V, cp],
        name=name,
    ), h)
end

function Capacitor(;name, C = 1.0)
    @named p = Pin()
    @named n = Pin()
    @variables v(t)=0.0
    @parameters C=C
    eqs = [
           v ~ p.v - n.v
           0 ~ p.i + n.i
           D(v) ~ p.i / C
          ]
    compose(ODESystem(
        eqs, t, [v], [C],
        name=name
    ), p, n)
end

function parallel_rc_model(i; name, source, ground, R, C)
    resistor = HeatingResistor(name=Symbol(:resistor, i), R=R)
    capacitor = Capacitor(name=Symbol(:capacitor, i), C=C)
    heat_capacitor = HeatCapacitor(name=Symbol(:heat_capacitor, i))

    rc_eqs = [
              connect(source.p, resistor.p)
              connect(resistor.n, capacitor.p)
              connect(capacitor.n, source.n, ground.g)
              connect(resistor.h, heat_capacitor.h)
             ]

    compose(ODESystem(rc_eqs, t, name=Symbol(name, i)),
            [resistor, capacitor, source, ground, heat_capacitor])
end
parallel_rc_model (generic function with 1 method)

The Model

Assuming that the components are defined, our model is 50 resistors and capacitors connected in parallel. Thus following the acausal components tutorial, we can connect a bunch of RC components as follows:

V = 2.0
@named source = ConstantVoltage(V=V)
@named ground = Ground()
N = 50
Rs = 10 .^range(0, stop=-4, length=N)
Cs = 10 .^range(-3, stop=0, length=N)
rc_systems = map(1:N) do i
    parallel_rc_model(i; name=:rc, source=source, ground=ground, R=Rs[i], C=Cs[i])
end;
@variables E(t)=0.0
eqs = [
       D(E) ~ sum(((i, sys),)->getproperty(sys, Symbol(:resistor, i)).h.Q_flow, enumerate(rc_systems))
      ]
@named _big_rc = ODESystem(eqs, t, [E], [])
@named big_rc = compose(_big_rc, rc_systems)

\[ \begin{equation} \left[ \begin{array}{c} \frac{\mathrm{d} E\left( t \right)}{\mathrm{d}t} = rc10_{+}resistor10_{+}h_{+}Q_{flow}\left( t \right) + rc11_{+}resistor11_{+}h_{+}Q_{flow}\left( t \right) + rc12_{+}resistor12_{+}h_{+}Q_{flow}\left( t \right) + rc13_{+}resistor13_{+}h_{+}Q_{flow}\left( t \right) + rc14_{+}resistor14_{+}h_{+}Q_{flow}\left( t \right) + rc15_{+}resistor15_{+}h_{+}Q_{flow}\left( t \right) + rc16_{+}resistor16_{+}h_{+}Q_{flow}\left( t \right) + rc17_{+}resistor17_{+}h_{+}Q_{flow}\left( t \right) + rc18_{+}resistor18_{+}h_{+}Q_{flow}\left( t \right) + rc19_{+}resistor19_{+}h_{+}Q_{flow}\left( t \right) + rc1_{+}resistor1_{+}h_{+}Q_{flow}\left( t \right) + rc20_{+}resistor20_{+}h_{+}Q_{flow}\left( t \right) + rc21_{+}resistor21_{+}h_{+}Q_{flow}\left( t \right) + rc22_{+}resistor22_{+}h_{+}Q_{flow}\left( t \right) + rc23_{+}resistor23_{+}h_{+}Q_{flow}\left( t \right) + rc24_{+}resistor24_{+}h_{+}Q_{flow}\left( t \right) + rc25_{+}resistor25_{+}h_{+}Q_{flow}\left( t \right) + rc26_{+}resistor26_{+}h_{+}Q_{flow}\left( t \right) + rc27_{+}resistor27_{+}h_{+}Q_{flow}\left( t \right) + rc28_{+}resistor28_{+}h_{+}Q_{flow}\left( t \right) + rc29_{+}resistor29_{+}h_{+}Q_{flow}\left( t \right) + rc2_{+}resistor2_{+}h_{+}Q_{flow}\left( t \right) + rc30_{+}resistor30_{+}h_{+}Q_{flow}\left( t \right) + rc31_{+}resistor31_{+}h_{+}Q_{flow}\left( t \right) + rc32_{+}resistor32_{+}h_{+}Q_{flow}\left( t \right) + rc33_{+}resistor33_{+}h_{+}Q_{flow}\left( t \right) + rc34_{+}resistor34_{+}h_{+}Q_{flow}\left( t \right) + rc35_{+}resistor35_{+}h_{+}Q_{flow}\left( t \right) + rc36_{+}resistor36_{+}h_{+}Q_{flow}\left( t \right) + rc37_{+}resistor37_{+}h_{+}Q_{flow}\left( t \right) + rc38_{+}resistor38_{+}h_{+}Q_{flow}\left( t \right) + rc39_{+}resistor39_{+}h_{+}Q_{flow}\left( t \right) + rc3_{+}resistor3_{+}h_{+}Q_{flow}\left( t \right) + rc40_{+}resistor40_{+}h_{+}Q_{flow}\left( t \right) + rc41_{+}resistor41_{+}h_{+}Q_{flow}\left( t \right) + rc42_{+}resistor42_{+}h_{+}Q_{flow}\left( t \right) + rc43_{+}resistor43_{+}h_{+}Q_{flow}\left( t \right) + rc44_{+}resistor44_{+}h_{+}Q_{flow}\left( t \right) + rc45_{+}resistor45_{+}h_{+}Q_{flow}\left( t \right) + rc46_{+}resistor46_{+}h_{+}Q_{flow}\left( t \right) + rc47_{+}resistor47_{+}h_{+}Q_{flow}\left( t \right) + rc48_{+}resistor48_{+}h_{+}Q_{flow}\left( t \right) + rc49_{+}resistor49_{+}h_{+}Q_{flow}\left( t \right) + rc4_{+}resistor4_{+}h_{+}Q_{flow}\left( t \right) + rc50_{+}resistor50_{+}h_{+}Q_{flow}\left( t \right) + rc5_{+}resistor5_{+}h_{+}Q_{flow}\left( t \right) + rc6_{+}resistor6_{+}h_{+}Q_{flow}\left( t \right) + rc7_{+}resistor7_{+}h_{+}Q_{flow}\left( t \right) + rc8_{+}resistor8_{+}h_{+}Q_{flow}\left( t \right) + rc9_{+}resistor9_{+}h_{+}Q_{flow}\left( t \right) \\ \mathrm{connect}\left( source_{+}p, resistor1_{+}p \right) \\ \mathrm{connect}\left( resistor1_{+}n, capacitor1_{+}p \right) \\ \mathrm{connect}\left( capacitor1_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor1_{+}h, heat_{capacitor1_{+}h} \right) \\ rc1_{+}resistor1_{+}RTherm\left( t \right) = rc1_{+}resistor1_{+}R \left( 1 + rc1_{+}resistor1_{+}alpha \left( - rc1_{+}resistor1_{+}TAmbient + rc1_{+}resistor1_{+}h_{+}T\left( t \right) \right) \right) \\ rc1_{+}resistor1_{+}v\left( t \right) = rc1_{+}resistor1_{+}RTherm\left( t \right) rc1_{+}resistor1_{+}p_{+}i\left( t \right) \\ rc1_{+}resistor1_{+}h_{+}Q_{flow}\left( t \right) = - rc1_{+}resistor1_{+}p_{+}i\left( t \right) rc1_{+}resistor1_{+}v\left( t \right) \\ rc1_{+}resistor1_{+}v\left( t \right) = - rc1_{+}resistor1_{+}n_{+}v\left( t \right) + rc1_{+}resistor1_{+}p_{+}v\left( t \right) \\ 0 = rc1_{+}resistor1_{+}n_{+}i\left( t \right) + rc1_{+}resistor1_{+}p_{+}i\left( t \right) \\ rc1_{+}capacitor1_{+}v\left( t \right) = - rc1_{+}capacitor1_{+}n_{+}v\left( t \right) + rc1_{+}capacitor1_{+}p_{+}v\left( t \right) \\ 0 = rc1_{+}capacitor1_{+}n_{+}i\left( t \right) + rc1_{+}capacitor1_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc1_{+}capacitor1_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc1_{+}capacitor1_{+}p_{+}i\left( t \right)}{rc1_{+}capacitor1_{+}C} \\ rc1_{+}source_{+}V = - rc1_{+}source_{+}n_{+}v\left( t \right) + rc1_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc1_{+}source_{+}n_{+}i\left( t \right) + rc1_{+}source_{+}p_{+}i\left( t \right) \\ rc1_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc1_{+}heat_{capacitor1_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc1_{+}heat_{capacitor1_{+}h_{+}Q\_flow}\left( t \right)}{rc1_{+}heat_{capacitor1_{+}V} rc1_{+}heat_{capacitor1_{+}cp} rc1_{+}heat_{capacitor1_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor2_{+}p \right) \\ \mathrm{connect}\left( resistor2_{+}n, capacitor2_{+}p \right) \\ \mathrm{connect}\left( capacitor2_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor2_{+}h, heat_{capacitor2_{+}h} \right) \\ rc2_{+}resistor2_{+}RTherm\left( t \right) = rc2_{+}resistor2_{+}R \left( 1 + rc2_{+}resistor2_{+}alpha \left( - rc2_{+}resistor2_{+}TAmbient + rc2_{+}resistor2_{+}h_{+}T\left( t \right) \right) \right) \\ rc2_{+}resistor2_{+}v\left( t \right) = rc2_{+}resistor2_{+}RTherm\left( t \right) rc2_{+}resistor2_{+}p_{+}i\left( t \right) \\ rc2_{+}resistor2_{+}h_{+}Q_{flow}\left( t \right) = - rc2_{+}resistor2_{+}p_{+}i\left( t \right) rc2_{+}resistor2_{+}v\left( t \right) \\ rc2_{+}resistor2_{+}v\left( t \right) = - rc2_{+}resistor2_{+}n_{+}v\left( t \right) + rc2_{+}resistor2_{+}p_{+}v\left( t \right) \\ 0 = rc2_{+}resistor2_{+}n_{+}i\left( t \right) + rc2_{+}resistor2_{+}p_{+}i\left( t \right) \\ rc2_{+}capacitor2_{+}v\left( t \right) = - rc2_{+}capacitor2_{+}n_{+}v\left( t \right) + rc2_{+}capacitor2_{+}p_{+}v\left( t \right) \\ 0 = rc2_{+}capacitor2_{+}n_{+}i\left( t \right) + rc2_{+}capacitor2_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc2_{+}capacitor2_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc2_{+}capacitor2_{+}p_{+}i\left( t \right)}{rc2_{+}capacitor2_{+}C} \\ rc2_{+}source_{+}V = - rc2_{+}source_{+}n_{+}v\left( t \right) + rc2_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc2_{+}source_{+}n_{+}i\left( t \right) + rc2_{+}source_{+}p_{+}i\left( t \right) \\ rc2_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc2_{+}heat_{capacitor2_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc2_{+}heat_{capacitor2_{+}h_{+}Q\_flow}\left( t \right)}{rc2_{+}heat_{capacitor2_{+}V} rc2_{+}heat_{capacitor2_{+}cp} rc2_{+}heat_{capacitor2_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor3_{+}p \right) \\ \mathrm{connect}\left( resistor3_{+}n, capacitor3_{+}p \right) \\ \mathrm{connect}\left( capacitor3_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor3_{+}h, heat_{capacitor3_{+}h} \right) \\ rc3_{+}resistor3_{+}RTherm\left( t \right) = rc3_{+}resistor3_{+}R \left( 1 + rc3_{+}resistor3_{+}alpha \left( - rc3_{+}resistor3_{+}TAmbient + rc3_{+}resistor3_{+}h_{+}T\left( t \right) \right) \right) \\ rc3_{+}resistor3_{+}v\left( t \right) = rc3_{+}resistor3_{+}RTherm\left( t \right) rc3_{+}resistor3_{+}p_{+}i\left( t \right) \\ rc3_{+}resistor3_{+}h_{+}Q_{flow}\left( t \right) = - rc3_{+}resistor3_{+}p_{+}i\left( t \right) rc3_{+}resistor3_{+}v\left( t \right) \\ rc3_{+}resistor3_{+}v\left( t \right) = - rc3_{+}resistor3_{+}n_{+}v\left( t \right) + rc3_{+}resistor3_{+}p_{+}v\left( t \right) \\ 0 = rc3_{+}resistor3_{+}n_{+}i\left( t \right) + rc3_{+}resistor3_{+}p_{+}i\left( t \right) \\ rc3_{+}capacitor3_{+}v\left( t \right) = - rc3_{+}capacitor3_{+}n_{+}v\left( t \right) + rc3_{+}capacitor3_{+}p_{+}v\left( t \right) \\ 0 = rc3_{+}capacitor3_{+}n_{+}i\left( t \right) + rc3_{+}capacitor3_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc3_{+}capacitor3_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc3_{+}capacitor3_{+}p_{+}i\left( t \right)}{rc3_{+}capacitor3_{+}C} \\ rc3_{+}source_{+}V = - rc3_{+}source_{+}n_{+}v\left( t \right) + rc3_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc3_{+}source_{+}n_{+}i\left( t \right) + rc3_{+}source_{+}p_{+}i\left( t \right) \\ rc3_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc3_{+}heat_{capacitor3_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc3_{+}heat_{capacitor3_{+}h_{+}Q\_flow}\left( t \right)}{rc3_{+}heat_{capacitor3_{+}V} rc3_{+}heat_{capacitor3_{+}cp} rc3_{+}heat_{capacitor3_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor4_{+}p \right) \\ \mathrm{connect}\left( resistor4_{+}n, capacitor4_{+}p \right) \\ \mathrm{connect}\left( capacitor4_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor4_{+}h, heat_{capacitor4_{+}h} \right) \\ rc4_{+}resistor4_{+}RTherm\left( t \right) = rc4_{+}resistor4_{+}R \left( 1 + rc4_{+}resistor4_{+}alpha \left( - rc4_{+}resistor4_{+}TAmbient + rc4_{+}resistor4_{+}h_{+}T\left( t \right) \right) \right) \\ rc4_{+}resistor4_{+}v\left( t \right) = rc4_{+}resistor4_{+}RTherm\left( t \right) rc4_{+}resistor4_{+}p_{+}i\left( t \right) \\ rc4_{+}resistor4_{+}h_{+}Q_{flow}\left( t \right) = - rc4_{+}resistor4_{+}p_{+}i\left( t \right) rc4_{+}resistor4_{+}v\left( t \right) \\ rc4_{+}resistor4_{+}v\left( t \right) = - rc4_{+}resistor4_{+}n_{+}v\left( t \right) + rc4_{+}resistor4_{+}p_{+}v\left( t \right) \\ 0 = rc4_{+}resistor4_{+}n_{+}i\left( t \right) + rc4_{+}resistor4_{+}p_{+}i\left( t \right) \\ rc4_{+}capacitor4_{+}v\left( t \right) = - rc4_{+}capacitor4_{+}n_{+}v\left( t \right) + rc4_{+}capacitor4_{+}p_{+}v\left( t \right) \\ 0 = rc4_{+}capacitor4_{+}n_{+}i\left( t \right) + rc4_{+}capacitor4_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc4_{+}capacitor4_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc4_{+}capacitor4_{+}p_{+}i\left( t \right)}{rc4_{+}capacitor4_{+}C} \\ rc4_{+}source_{+}V = - rc4_{+}source_{+}n_{+}v\left( t \right) + rc4_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc4_{+}source_{+}n_{+}i\left( t \right) + rc4_{+}source_{+}p_{+}i\left( t \right) \\ rc4_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc4_{+}heat_{capacitor4_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc4_{+}heat_{capacitor4_{+}h_{+}Q\_flow}\left( t \right)}{rc4_{+}heat_{capacitor4_{+}V} rc4_{+}heat_{capacitor4_{+}cp} rc4_{+}heat_{capacitor4_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor5_{+}p \right) \\ \mathrm{connect}\left( resistor5_{+}n, capacitor5_{+}p \right) \\ \mathrm{connect}\left( capacitor5_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor5_{+}h, heat_{capacitor5_{+}h} \right) \\ rc5_{+}resistor5_{+}RTherm\left( t \right) = rc5_{+}resistor5_{+}R \left( 1 + rc5_{+}resistor5_{+}alpha \left( - rc5_{+}resistor5_{+}TAmbient + rc5_{+}resistor5_{+}h_{+}T\left( t \right) \right) \right) \\ rc5_{+}resistor5_{+}v\left( t \right) = rc5_{+}resistor5_{+}RTherm\left( t \right) rc5_{+}resistor5_{+}p_{+}i\left( t \right) \\ rc5_{+}resistor5_{+}h_{+}Q_{flow}\left( t \right) = - rc5_{+}resistor5_{+}p_{+}i\left( t \right) rc5_{+}resistor5_{+}v\left( t \right) \\ rc5_{+}resistor5_{+}v\left( t \right) = - rc5_{+}resistor5_{+}n_{+}v\left( t \right) + rc5_{+}resistor5_{+}p_{+}v\left( t \right) \\ 0 = rc5_{+}resistor5_{+}n_{+}i\left( t \right) + rc5_{+}resistor5_{+}p_{+}i\left( t \right) \\ rc5_{+}capacitor5_{+}v\left( t \right) = - rc5_{+}capacitor5_{+}n_{+}v\left( t \right) + rc5_{+}capacitor5_{+}p_{+}v\left( t \right) \\ 0 = rc5_{+}capacitor5_{+}n_{+}i\left( t \right) + rc5_{+}capacitor5_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc5_{+}capacitor5_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc5_{+}capacitor5_{+}p_{+}i\left( t \right)}{rc5_{+}capacitor5_{+}C} \\ rc5_{+}source_{+}V = - rc5_{+}source_{+}n_{+}v\left( t \right) + rc5_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc5_{+}source_{+}n_{+}i\left( t \right) + rc5_{+}source_{+}p_{+}i\left( t \right) \\ rc5_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc5_{+}heat_{capacitor5_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc5_{+}heat_{capacitor5_{+}h_{+}Q\_flow}\left( t \right)}{rc5_{+}heat_{capacitor5_{+}V} rc5_{+}heat_{capacitor5_{+}cp} rc5_{+}heat_{capacitor5_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor6_{+}p \right) \\ \mathrm{connect}\left( resistor6_{+}n, capacitor6_{+}p \right) \\ \mathrm{connect}\left( capacitor6_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor6_{+}h, heat_{capacitor6_{+}h} \right) \\ rc6_{+}resistor6_{+}RTherm\left( t \right) = rc6_{+}resistor6_{+}R \left( 1 + rc6_{+}resistor6_{+}alpha \left( - rc6_{+}resistor6_{+}TAmbient + rc6_{+}resistor6_{+}h_{+}T\left( t \right) \right) \right) \\ rc6_{+}resistor6_{+}v\left( t \right) = rc6_{+}resistor6_{+}RTherm\left( t \right) rc6_{+}resistor6_{+}p_{+}i\left( t \right) \\ rc6_{+}resistor6_{+}h_{+}Q_{flow}\left( t \right) = - rc6_{+}resistor6_{+}p_{+}i\left( t \right) rc6_{+}resistor6_{+}v\left( t \right) \\ rc6_{+}resistor6_{+}v\left( t \right) = - rc6_{+}resistor6_{+}n_{+}v\left( t \right) + rc6_{+}resistor6_{+}p_{+}v\left( t \right) \\ 0 = rc6_{+}resistor6_{+}n_{+}i\left( t \right) + rc6_{+}resistor6_{+}p_{+}i\left( t \right) \\ rc6_{+}capacitor6_{+}v\left( t \right) = - rc6_{+}capacitor6_{+}n_{+}v\left( t \right) + rc6_{+}capacitor6_{+}p_{+}v\left( t \right) \\ 0 = rc6_{+}capacitor6_{+}n_{+}i\left( t \right) + rc6_{+}capacitor6_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc6_{+}capacitor6_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc6_{+}capacitor6_{+}p_{+}i\left( t \right)}{rc6_{+}capacitor6_{+}C} \\ rc6_{+}source_{+}V = - rc6_{+}source_{+}n_{+}v\left( t \right) + rc6_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc6_{+}source_{+}n_{+}i\left( t \right) + rc6_{+}source_{+}p_{+}i\left( t \right) \\ rc6_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc6_{+}heat_{capacitor6_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc6_{+}heat_{capacitor6_{+}h_{+}Q\_flow}\left( t \right)}{rc6_{+}heat_{capacitor6_{+}V} rc6_{+}heat_{capacitor6_{+}cp} rc6_{+}heat_{capacitor6_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor7_{+}p \right) \\ \mathrm{connect}\left( resistor7_{+}n, capacitor7_{+}p \right) \\ \mathrm{connect}\left( capacitor7_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor7_{+}h, heat_{capacitor7_{+}h} \right) \\ rc7_{+}resistor7_{+}RTherm\left( t \right) = rc7_{+}resistor7_{+}R \left( 1 + rc7_{+}resistor7_{+}alpha \left( - rc7_{+}resistor7_{+}TAmbient + rc7_{+}resistor7_{+}h_{+}T\left( t \right) \right) \right) \\ rc7_{+}resistor7_{+}v\left( t \right) = rc7_{+}resistor7_{+}RTherm\left( t \right) rc7_{+}resistor7_{+}p_{+}i\left( t \right) \\ rc7_{+}resistor7_{+}h_{+}Q_{flow}\left( t \right) = - rc7_{+}resistor7_{+}p_{+}i\left( t \right) rc7_{+}resistor7_{+}v\left( t \right) \\ rc7_{+}resistor7_{+}v\left( t \right) = - rc7_{+}resistor7_{+}n_{+}v\left( t \right) + rc7_{+}resistor7_{+}p_{+}v\left( t \right) \\ 0 = rc7_{+}resistor7_{+}n_{+}i\left( t \right) + rc7_{+}resistor7_{+}p_{+}i\left( t \right) \\ rc7_{+}capacitor7_{+}v\left( t \right) = - rc7_{+}capacitor7_{+}n_{+}v\left( t \right) + rc7_{+}capacitor7_{+}p_{+}v\left( t \right) \\ 0 = rc7_{+}capacitor7_{+}n_{+}i\left( t \right) + rc7_{+}capacitor7_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc7_{+}capacitor7_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc7_{+}capacitor7_{+}p_{+}i\left( t \right)}{rc7_{+}capacitor7_{+}C} \\ rc7_{+}source_{+}V = - rc7_{+}source_{+}n_{+}v\left( t \right) + rc7_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc7_{+}source_{+}n_{+}i\left( t \right) + rc7_{+}source_{+}p_{+}i\left( t \right) \\ rc7_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc7_{+}heat_{capacitor7_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc7_{+}heat_{capacitor7_{+}h_{+}Q\_flow}\left( t \right)}{rc7_{+}heat_{capacitor7_{+}V} rc7_{+}heat_{capacitor7_{+}cp} rc7_{+}heat_{capacitor7_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor8_{+}p \right) \\ \mathrm{connect}\left( resistor8_{+}n, capacitor8_{+}p \right) \\ \mathrm{connect}\left( capacitor8_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor8_{+}h, heat_{capacitor8_{+}h} \right) \\ rc8_{+}resistor8_{+}RTherm\left( t \right) = rc8_{+}resistor8_{+}R \left( 1 + rc8_{+}resistor8_{+}alpha \left( - rc8_{+}resistor8_{+}TAmbient + rc8_{+}resistor8_{+}h_{+}T\left( t \right) \right) \right) \\ rc8_{+}resistor8_{+}v\left( t \right) = rc8_{+}resistor8_{+}RTherm\left( t \right) rc8_{+}resistor8_{+}p_{+}i\left( t \right) \\ rc8_{+}resistor8_{+}h_{+}Q_{flow}\left( t \right) = - rc8_{+}resistor8_{+}p_{+}i\left( t \right) rc8_{+}resistor8_{+}v\left( t \right) \\ rc8_{+}resistor8_{+}v\left( t \right) = - rc8_{+}resistor8_{+}n_{+}v\left( t \right) + rc8_{+}resistor8_{+}p_{+}v\left( t \right) \\ 0 = rc8_{+}resistor8_{+}n_{+}i\left( t \right) + rc8_{+}resistor8_{+}p_{+}i\left( t \right) \\ rc8_{+}capacitor8_{+}v\left( t \right) = - rc8_{+}capacitor8_{+}n_{+}v\left( t \right) + rc8_{+}capacitor8_{+}p_{+}v\left( t \right) \\ 0 = rc8_{+}capacitor8_{+}n_{+}i\left( t \right) + rc8_{+}capacitor8_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc8_{+}capacitor8_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc8_{+}capacitor8_{+}p_{+}i\left( t \right)}{rc8_{+}capacitor8_{+}C} \\ rc8_{+}source_{+}V = - rc8_{+}source_{+}n_{+}v\left( t \right) + rc8_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc8_{+}source_{+}n_{+}i\left( t \right) + rc8_{+}source_{+}p_{+}i\left( t \right) \\ rc8_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc8_{+}heat_{capacitor8_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc8_{+}heat_{capacitor8_{+}h_{+}Q\_flow}\left( t \right)}{rc8_{+}heat_{capacitor8_{+}V} rc8_{+}heat_{capacitor8_{+}cp} rc8_{+}heat_{capacitor8_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor9_{+}p \right) \\ \mathrm{connect}\left( resistor9_{+}n, capacitor9_{+}p \right) \\ \mathrm{connect}\left( capacitor9_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor9_{+}h, heat_{capacitor9_{+}h} \right) \\ rc9_{+}resistor9_{+}RTherm\left( t \right) = rc9_{+}resistor9_{+}R \left( 1 + rc9_{+}resistor9_{+}alpha \left( - rc9_{+}resistor9_{+}TAmbient + rc9_{+}resistor9_{+}h_{+}T\left( t \right) \right) \right) \\ rc9_{+}resistor9_{+}v\left( t \right) = rc9_{+}resistor9_{+}RTherm\left( t \right) rc9_{+}resistor9_{+}p_{+}i\left( t \right) \\ rc9_{+}resistor9_{+}h_{+}Q_{flow}\left( t \right) = - rc9_{+}resistor9_{+}p_{+}i\left( t \right) rc9_{+}resistor9_{+}v\left( t \right) \\ rc9_{+}resistor9_{+}v\left( t \right) = - rc9_{+}resistor9_{+}n_{+}v\left( t \right) + rc9_{+}resistor9_{+}p_{+}v\left( t \right) \\ 0 = rc9_{+}resistor9_{+}n_{+}i\left( t \right) + rc9_{+}resistor9_{+}p_{+}i\left( t \right) \\ rc9_{+}capacitor9_{+}v\left( t \right) = - rc9_{+}capacitor9_{+}n_{+}v\left( t \right) + rc9_{+}capacitor9_{+}p_{+}v\left( t \right) \\ 0 = rc9_{+}capacitor9_{+}n_{+}i\left( t \right) + rc9_{+}capacitor9_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc9_{+}capacitor9_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc9_{+}capacitor9_{+}p_{+}i\left( t \right)}{rc9_{+}capacitor9_{+}C} \\ rc9_{+}source_{+}V = - rc9_{+}source_{+}n_{+}v\left( t \right) + rc9_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc9_{+}source_{+}n_{+}i\left( t \right) + rc9_{+}source_{+}p_{+}i\left( t \right) \\ rc9_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc9_{+}heat_{capacitor9_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc9_{+}heat_{capacitor9_{+}h_{+}Q\_flow}\left( t \right)}{rc9_{+}heat_{capacitor9_{+}V} rc9_{+}heat_{capacitor9_{+}cp} rc9_{+}heat_{capacitor9_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor10_{+}p \right) \\ \mathrm{connect}\left( resistor10_{+}n, capacitor10_{+}p \right) \\ \mathrm{connect}\left( capacitor10_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor10_{+}h, heat_{capacitor10_{+}h} \right) \\ rc10_{+}resistor10_{+}RTherm\left( t \right) = rc10_{+}resistor10_{+}R \left( 1 + rc10_{+}resistor10_{+}alpha \left( - rc10_{+}resistor10_{+}TAmbient + rc10_{+}resistor10_{+}h_{+}T\left( t \right) \right) \right) \\ rc10_{+}resistor10_{+}v\left( t \right) = rc10_{+}resistor10_{+}RTherm\left( t \right) rc10_{+}resistor10_{+}p_{+}i\left( t \right) \\ rc10_{+}resistor10_{+}h_{+}Q_{flow}\left( t \right) = - rc10_{+}resistor10_{+}p_{+}i\left( t \right) rc10_{+}resistor10_{+}v\left( t \right) \\ rc10_{+}resistor10_{+}v\left( t \right) = - rc10_{+}resistor10_{+}n_{+}v\left( t \right) + rc10_{+}resistor10_{+}p_{+}v\left( t \right) \\ 0 = rc10_{+}resistor10_{+}n_{+}i\left( t \right) + rc10_{+}resistor10_{+}p_{+}i\left( t \right) \\ rc10_{+}capacitor10_{+}v\left( t \right) = - rc10_{+}capacitor10_{+}n_{+}v\left( t \right) + rc10_{+}capacitor10_{+}p_{+}v\left( t \right) \\ 0 = rc10_{+}capacitor10_{+}n_{+}i\left( t \right) + rc10_{+}capacitor10_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc10_{+}capacitor10_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc10_{+}capacitor10_{+}p_{+}i\left( t \right)}{rc10_{+}capacitor10_{+}C} \\ rc10_{+}source_{+}V = - rc10_{+}source_{+}n_{+}v\left( t \right) + rc10_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc10_{+}source_{+}n_{+}i\left( t \right) + rc10_{+}source_{+}p_{+}i\left( t \right) \\ rc10_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc10_{+}heat_{capacitor10_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc10_{+}heat_{capacitor10_{+}h_{+}Q\_flow}\left( t \right)}{rc10_{+}heat_{capacitor10_{+}V} rc10_{+}heat_{capacitor10_{+}cp} rc10_{+}heat_{capacitor10_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor11_{+}p \right) \\ \mathrm{connect}\left( resistor11_{+}n, capacitor11_{+}p \right) \\ \mathrm{connect}\left( capacitor11_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor11_{+}h, heat_{capacitor11_{+}h} \right) \\ rc11_{+}resistor11_{+}RTherm\left( t \right) = rc11_{+}resistor11_{+}R \left( 1 + rc11_{+}resistor11_{+}alpha \left( - rc11_{+}resistor11_{+}TAmbient + rc11_{+}resistor11_{+}h_{+}T\left( t \right) \right) \right) \\ rc11_{+}resistor11_{+}v\left( t \right) = rc11_{+}resistor11_{+}RTherm\left( t \right) rc11_{+}resistor11_{+}p_{+}i\left( t \right) \\ rc11_{+}resistor11_{+}h_{+}Q_{flow}\left( t \right) = - rc11_{+}resistor11_{+}p_{+}i\left( t \right) rc11_{+}resistor11_{+}v\left( t \right) \\ rc11_{+}resistor11_{+}v\left( t \right) = - rc11_{+}resistor11_{+}n_{+}v\left( t \right) + rc11_{+}resistor11_{+}p_{+}v\left( t \right) \\ 0 = rc11_{+}resistor11_{+}n_{+}i\left( t \right) + rc11_{+}resistor11_{+}p_{+}i\left( t \right) \\ rc11_{+}capacitor11_{+}v\left( t \right) = - rc11_{+}capacitor11_{+}n_{+}v\left( t \right) + rc11_{+}capacitor11_{+}p_{+}v\left( t \right) \\ 0 = rc11_{+}capacitor11_{+}n_{+}i\left( t \right) + rc11_{+}capacitor11_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc11_{+}capacitor11_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc11_{+}capacitor11_{+}p_{+}i\left( t \right)}{rc11_{+}capacitor11_{+}C} \\ rc11_{+}source_{+}V = - rc11_{+}source_{+}n_{+}v\left( t \right) + rc11_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc11_{+}source_{+}n_{+}i\left( t \right) + rc11_{+}source_{+}p_{+}i\left( t \right) \\ rc11_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc11_{+}heat_{capacitor11_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc11_{+}heat_{capacitor11_{+}h_{+}Q\_flow}\left( t \right)}{rc11_{+}heat_{capacitor11_{+}V} rc11_{+}heat_{capacitor11_{+}cp} rc11_{+}heat_{capacitor11_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor12_{+}p \right) \\ \mathrm{connect}\left( resistor12_{+}n, capacitor12_{+}p \right) \\ \mathrm{connect}\left( capacitor12_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor12_{+}h, heat_{capacitor12_{+}h} \right) \\ rc12_{+}resistor12_{+}RTherm\left( t \right) = rc12_{+}resistor12_{+}R \left( 1 + rc12_{+}resistor12_{+}alpha \left( - rc12_{+}resistor12_{+}TAmbient + rc12_{+}resistor12_{+}h_{+}T\left( t \right) \right) \right) \\ rc12_{+}resistor12_{+}v\left( t \right) = rc12_{+}resistor12_{+}RTherm\left( t \right) rc12_{+}resistor12_{+}p_{+}i\left( t \right) \\ rc12_{+}resistor12_{+}h_{+}Q_{flow}\left( t \right) = - rc12_{+}resistor12_{+}p_{+}i\left( t \right) rc12_{+}resistor12_{+}v\left( t \right) \\ rc12_{+}resistor12_{+}v\left( t \right) = - rc12_{+}resistor12_{+}n_{+}v\left( t \right) + rc12_{+}resistor12_{+}p_{+}v\left( t \right) \\ 0 = rc12_{+}resistor12_{+}n_{+}i\left( t \right) + rc12_{+}resistor12_{+}p_{+}i\left( t \right) \\ rc12_{+}capacitor12_{+}v\left( t \right) = - rc12_{+}capacitor12_{+}n_{+}v\left( t \right) + rc12_{+}capacitor12_{+}p_{+}v\left( t \right) \\ 0 = rc12_{+}capacitor12_{+}n_{+}i\left( t \right) + rc12_{+}capacitor12_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc12_{+}capacitor12_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc12_{+}capacitor12_{+}p_{+}i\left( t \right)}{rc12_{+}capacitor12_{+}C} \\ rc12_{+}source_{+}V = - rc12_{+}source_{+}n_{+}v\left( t \right) + rc12_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc12_{+}source_{+}n_{+}i\left( t \right) + rc12_{+}source_{+}p_{+}i\left( t \right) \\ rc12_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc12_{+}heat_{capacitor12_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc12_{+}heat_{capacitor12_{+}h_{+}Q\_flow}\left( t \right)}{rc12_{+}heat_{capacitor12_{+}V} rc12_{+}heat_{capacitor12_{+}cp} rc12_{+}heat_{capacitor12_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor13_{+}p \right) \\ \mathrm{connect}\left( resistor13_{+}n, capacitor13_{+}p \right) \\ \mathrm{connect}\left( capacitor13_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor13_{+}h, heat_{capacitor13_{+}h} \right) \\ rc13_{+}resistor13_{+}RTherm\left( t \right) = rc13_{+}resistor13_{+}R \left( 1 + rc13_{+}resistor13_{+}alpha \left( - rc13_{+}resistor13_{+}TAmbient + rc13_{+}resistor13_{+}h_{+}T\left( t \right) \right) \right) \\ rc13_{+}resistor13_{+}v\left( t \right) = rc13_{+}resistor13_{+}RTherm\left( t \right) rc13_{+}resistor13_{+}p_{+}i\left( t \right) \\ rc13_{+}resistor13_{+}h_{+}Q_{flow}\left( t \right) = - rc13_{+}resistor13_{+}p_{+}i\left( t \right) rc13_{+}resistor13_{+}v\left( t \right) \\ rc13_{+}resistor13_{+}v\left( t \right) = - rc13_{+}resistor13_{+}n_{+}v\left( t \right) + rc13_{+}resistor13_{+}p_{+}v\left( t \right) \\ 0 = rc13_{+}resistor13_{+}n_{+}i\left( t \right) + rc13_{+}resistor13_{+}p_{+}i\left( t \right) \\ rc13_{+}capacitor13_{+}v\left( t \right) = - rc13_{+}capacitor13_{+}n_{+}v\left( t \right) + rc13_{+}capacitor13_{+}p_{+}v\left( t \right) \\ 0 = rc13_{+}capacitor13_{+}n_{+}i\left( t \right) + rc13_{+}capacitor13_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc13_{+}capacitor13_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc13_{+}capacitor13_{+}p_{+}i\left( t \right)}{rc13_{+}capacitor13_{+}C} \\ rc13_{+}source_{+}V = - rc13_{+}source_{+}n_{+}v\left( t \right) + rc13_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc13_{+}source_{+}n_{+}i\left( t \right) + rc13_{+}source_{+}p_{+}i\left( t \right) \\ rc13_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc13_{+}heat_{capacitor13_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc13_{+}heat_{capacitor13_{+}h_{+}Q\_flow}\left( t \right)}{rc13_{+}heat_{capacitor13_{+}V} rc13_{+}heat_{capacitor13_{+}cp} rc13_{+}heat_{capacitor13_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor14_{+}p \right) \\ \mathrm{connect}\left( resistor14_{+}n, capacitor14_{+}p \right) \\ \mathrm{connect}\left( capacitor14_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor14_{+}h, heat_{capacitor14_{+}h} \right) \\ rc14_{+}resistor14_{+}RTherm\left( t \right) = rc14_{+}resistor14_{+}R \left( 1 + rc14_{+}resistor14_{+}alpha \left( - rc14_{+}resistor14_{+}TAmbient + rc14_{+}resistor14_{+}h_{+}T\left( t \right) \right) \right) \\ rc14_{+}resistor14_{+}v\left( t \right) = rc14_{+}resistor14_{+}RTherm\left( t \right) rc14_{+}resistor14_{+}p_{+}i\left( t \right) \\ rc14_{+}resistor14_{+}h_{+}Q_{flow}\left( t \right) = - rc14_{+}resistor14_{+}p_{+}i\left( t \right) rc14_{+}resistor14_{+}v\left( t \right) \\ rc14_{+}resistor14_{+}v\left( t \right) = - rc14_{+}resistor14_{+}n_{+}v\left( t \right) + rc14_{+}resistor14_{+}p_{+}v\left( t \right) \\ 0 = rc14_{+}resistor14_{+}n_{+}i\left( t \right) + rc14_{+}resistor14_{+}p_{+}i\left( t \right) \\ rc14_{+}capacitor14_{+}v\left( t \right) = - rc14_{+}capacitor14_{+}n_{+}v\left( t \right) + rc14_{+}capacitor14_{+}p_{+}v\left( t \right) \\ 0 = rc14_{+}capacitor14_{+}n_{+}i\left( t \right) + rc14_{+}capacitor14_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc14_{+}capacitor14_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc14_{+}capacitor14_{+}p_{+}i\left( t \right)}{rc14_{+}capacitor14_{+}C} \\ rc14_{+}source_{+}V = - rc14_{+}source_{+}n_{+}v\left( t \right) + rc14_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc14_{+}source_{+}n_{+}i\left( t \right) + rc14_{+}source_{+}p_{+}i\left( t \right) \\ rc14_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc14_{+}heat_{capacitor14_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc14_{+}heat_{capacitor14_{+}h_{+}Q\_flow}\left( t \right)}{rc14_{+}heat_{capacitor14_{+}V} rc14_{+}heat_{capacitor14_{+}cp} rc14_{+}heat_{capacitor14_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor15_{+}p \right) \\ \mathrm{connect}\left( resistor15_{+}n, capacitor15_{+}p \right) \\ \mathrm{connect}\left( capacitor15_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor15_{+}h, heat_{capacitor15_{+}h} \right) \\ rc15_{+}resistor15_{+}RTherm\left( t \right) = rc15_{+}resistor15_{+}R \left( 1 + rc15_{+}resistor15_{+}alpha \left( - rc15_{+}resistor15_{+}TAmbient + rc15_{+}resistor15_{+}h_{+}T\left( t \right) \right) \right) \\ rc15_{+}resistor15_{+}v\left( t \right) = rc15_{+}resistor15_{+}RTherm\left( t \right) rc15_{+}resistor15_{+}p_{+}i\left( t \right) \\ rc15_{+}resistor15_{+}h_{+}Q_{flow}\left( t \right) = - rc15_{+}resistor15_{+}p_{+}i\left( t \right) rc15_{+}resistor15_{+}v\left( t \right) \\ rc15_{+}resistor15_{+}v\left( t \right) = - rc15_{+}resistor15_{+}n_{+}v\left( t \right) + rc15_{+}resistor15_{+}p_{+}v\left( t \right) \\ 0 = rc15_{+}resistor15_{+}n_{+}i\left( t \right) + rc15_{+}resistor15_{+}p_{+}i\left( t \right) \\ rc15_{+}capacitor15_{+}v\left( t \right) = - rc15_{+}capacitor15_{+}n_{+}v\left( t \right) + rc15_{+}capacitor15_{+}p_{+}v\left( t \right) \\ 0 = rc15_{+}capacitor15_{+}n_{+}i\left( t \right) + rc15_{+}capacitor15_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc15_{+}capacitor15_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc15_{+}capacitor15_{+}p_{+}i\left( t \right)}{rc15_{+}capacitor15_{+}C} \\ rc15_{+}source_{+}V = - rc15_{+}source_{+}n_{+}v\left( t \right) + rc15_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc15_{+}source_{+}n_{+}i\left( t \right) + rc15_{+}source_{+}p_{+}i\left( t \right) \\ rc15_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc15_{+}heat_{capacitor15_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc15_{+}heat_{capacitor15_{+}h_{+}Q\_flow}\left( t \right)}{rc15_{+}heat_{capacitor15_{+}V} rc15_{+}heat_{capacitor15_{+}cp} rc15_{+}heat_{capacitor15_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor16_{+}p \right) \\ \mathrm{connect}\left( resistor16_{+}n, capacitor16_{+}p \right) \\ \mathrm{connect}\left( capacitor16_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor16_{+}h, heat_{capacitor16_{+}h} \right) \\ rc16_{+}resistor16_{+}RTherm\left( t \right) = rc16_{+}resistor16_{+}R \left( 1 + rc16_{+}resistor16_{+}alpha \left( - rc16_{+}resistor16_{+}TAmbient + rc16_{+}resistor16_{+}h_{+}T\left( t \right) \right) \right) \\ rc16_{+}resistor16_{+}v\left( t \right) = rc16_{+}resistor16_{+}RTherm\left( t \right) rc16_{+}resistor16_{+}p_{+}i\left( t \right) \\ rc16_{+}resistor16_{+}h_{+}Q_{flow}\left( t \right) = - rc16_{+}resistor16_{+}p_{+}i\left( t \right) rc16_{+}resistor16_{+}v\left( t \right) \\ rc16_{+}resistor16_{+}v\left( t \right) = - rc16_{+}resistor16_{+}n_{+}v\left( t \right) + rc16_{+}resistor16_{+}p_{+}v\left( t \right) \\ 0 = rc16_{+}resistor16_{+}n_{+}i\left( t \right) + rc16_{+}resistor16_{+}p_{+}i\left( t \right) \\ rc16_{+}capacitor16_{+}v\left( t \right) = - rc16_{+}capacitor16_{+}n_{+}v\left( t \right) + rc16_{+}capacitor16_{+}p_{+}v\left( t \right) \\ 0 = rc16_{+}capacitor16_{+}n_{+}i\left( t \right) + rc16_{+}capacitor16_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc16_{+}capacitor16_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc16_{+}capacitor16_{+}p_{+}i\left( t \right)}{rc16_{+}capacitor16_{+}C} \\ rc16_{+}source_{+}V = - rc16_{+}source_{+}n_{+}v\left( t \right) + rc16_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc16_{+}source_{+}n_{+}i\left( t \right) + rc16_{+}source_{+}p_{+}i\left( t \right) \\ rc16_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc16_{+}heat_{capacitor16_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc16_{+}heat_{capacitor16_{+}h_{+}Q\_flow}\left( t \right)}{rc16_{+}heat_{capacitor16_{+}V} rc16_{+}heat_{capacitor16_{+}cp} rc16_{+}heat_{capacitor16_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor17_{+}p \right) \\ \mathrm{connect}\left( resistor17_{+}n, capacitor17_{+}p \right) \\ \mathrm{connect}\left( capacitor17_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor17_{+}h, heat_{capacitor17_{+}h} \right) \\ rc17_{+}resistor17_{+}RTherm\left( t \right) = rc17_{+}resistor17_{+}R \left( 1 + rc17_{+}resistor17_{+}alpha \left( - rc17_{+}resistor17_{+}TAmbient + rc17_{+}resistor17_{+}h_{+}T\left( t \right) \right) \right) \\ rc17_{+}resistor17_{+}v\left( t \right) = rc17_{+}resistor17_{+}RTherm\left( t \right) rc17_{+}resistor17_{+}p_{+}i\left( t \right) \\ rc17_{+}resistor17_{+}h_{+}Q_{flow}\left( t \right) = - rc17_{+}resistor17_{+}p_{+}i\left( t \right) rc17_{+}resistor17_{+}v\left( t \right) \\ rc17_{+}resistor17_{+}v\left( t \right) = - rc17_{+}resistor17_{+}n_{+}v\left( t \right) + rc17_{+}resistor17_{+}p_{+}v\left( t \right) \\ 0 = rc17_{+}resistor17_{+}n_{+}i\left( t \right) + rc17_{+}resistor17_{+}p_{+}i\left( t \right) \\ rc17_{+}capacitor17_{+}v\left( t \right) = - rc17_{+}capacitor17_{+}n_{+}v\left( t \right) + rc17_{+}capacitor17_{+}p_{+}v\left( t \right) \\ 0 = rc17_{+}capacitor17_{+}n_{+}i\left( t \right) + rc17_{+}capacitor17_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc17_{+}capacitor17_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc17_{+}capacitor17_{+}p_{+}i\left( t \right)}{rc17_{+}capacitor17_{+}C} \\ rc17_{+}source_{+}V = - rc17_{+}source_{+}n_{+}v\left( t \right) + rc17_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc17_{+}source_{+}n_{+}i\left( t \right) + rc17_{+}source_{+}p_{+}i\left( t \right) \\ rc17_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc17_{+}heat_{capacitor17_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc17_{+}heat_{capacitor17_{+}h_{+}Q\_flow}\left( t \right)}{rc17_{+}heat_{capacitor17_{+}V} rc17_{+}heat_{capacitor17_{+}cp} rc17_{+}heat_{capacitor17_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor18_{+}p \right) \\ \mathrm{connect}\left( resistor18_{+}n, capacitor18_{+}p \right) \\ \mathrm{connect}\left( capacitor18_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor18_{+}h, heat_{capacitor18_{+}h} \right) \\ rc18_{+}resistor18_{+}RTherm\left( t \right) = rc18_{+}resistor18_{+}R \left( 1 + rc18_{+}resistor18_{+}alpha \left( - rc18_{+}resistor18_{+}TAmbient + rc18_{+}resistor18_{+}h_{+}T\left( t \right) \right) \right) \\ rc18_{+}resistor18_{+}v\left( t \right) = rc18_{+}resistor18_{+}RTherm\left( t \right) rc18_{+}resistor18_{+}p_{+}i\left( t \right) \\ rc18_{+}resistor18_{+}h_{+}Q_{flow}\left( t \right) = - rc18_{+}resistor18_{+}p_{+}i\left( t \right) rc18_{+}resistor18_{+}v\left( t \right) \\ rc18_{+}resistor18_{+}v\left( t \right) = - rc18_{+}resistor18_{+}n_{+}v\left( t \right) + rc18_{+}resistor18_{+}p_{+}v\left( t \right) \\ 0 = rc18_{+}resistor18_{+}n_{+}i\left( t \right) + rc18_{+}resistor18_{+}p_{+}i\left( t \right) \\ rc18_{+}capacitor18_{+}v\left( t \right) = - rc18_{+}capacitor18_{+}n_{+}v\left( t \right) + rc18_{+}capacitor18_{+}p_{+}v\left( t \right) \\ 0 = rc18_{+}capacitor18_{+}n_{+}i\left( t \right) + rc18_{+}capacitor18_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc18_{+}capacitor18_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc18_{+}capacitor18_{+}p_{+}i\left( t \right)}{rc18_{+}capacitor18_{+}C} \\ rc18_{+}source_{+}V = - rc18_{+}source_{+}n_{+}v\left( t \right) + rc18_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc18_{+}source_{+}n_{+}i\left( t \right) + rc18_{+}source_{+}p_{+}i\left( t \right) \\ rc18_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc18_{+}heat_{capacitor18_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc18_{+}heat_{capacitor18_{+}h_{+}Q\_flow}\left( t \right)}{rc18_{+}heat_{capacitor18_{+}V} rc18_{+}heat_{capacitor18_{+}cp} rc18_{+}heat_{capacitor18_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor19_{+}p \right) \\ \mathrm{connect}\left( resistor19_{+}n, capacitor19_{+}p \right) \\ \mathrm{connect}\left( capacitor19_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor19_{+}h, heat_{capacitor19_{+}h} \right) \\ rc19_{+}resistor19_{+}RTherm\left( t \right) = rc19_{+}resistor19_{+}R \left( 1 + rc19_{+}resistor19_{+}alpha \left( - rc19_{+}resistor19_{+}TAmbient + rc19_{+}resistor19_{+}h_{+}T\left( t \right) \right) \right) \\ rc19_{+}resistor19_{+}v\left( t \right) = rc19_{+}resistor19_{+}RTherm\left( t \right) rc19_{+}resistor19_{+}p_{+}i\left( t \right) \\ rc19_{+}resistor19_{+}h_{+}Q_{flow}\left( t \right) = - rc19_{+}resistor19_{+}p_{+}i\left( t \right) rc19_{+}resistor19_{+}v\left( t \right) \\ rc19_{+}resistor19_{+}v\left( t \right) = - rc19_{+}resistor19_{+}n_{+}v\left( t \right) + rc19_{+}resistor19_{+}p_{+}v\left( t \right) \\ 0 = rc19_{+}resistor19_{+}n_{+}i\left( t \right) + rc19_{+}resistor19_{+}p_{+}i\left( t \right) \\ rc19_{+}capacitor19_{+}v\left( t \right) = - rc19_{+}capacitor19_{+}n_{+}v\left( t \right) + rc19_{+}capacitor19_{+}p_{+}v\left( t \right) \\ 0 = rc19_{+}capacitor19_{+}n_{+}i\left( t \right) + rc19_{+}capacitor19_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc19_{+}capacitor19_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc19_{+}capacitor19_{+}p_{+}i\left( t \right)}{rc19_{+}capacitor19_{+}C} \\ rc19_{+}source_{+}V = - rc19_{+}source_{+}n_{+}v\left( t \right) + rc19_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc19_{+}source_{+}n_{+}i\left( t \right) + rc19_{+}source_{+}p_{+}i\left( t \right) \\ rc19_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc19_{+}heat_{capacitor19_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc19_{+}heat_{capacitor19_{+}h_{+}Q\_flow}\left( t \right)}{rc19_{+}heat_{capacitor19_{+}V} rc19_{+}heat_{capacitor19_{+}cp} rc19_{+}heat_{capacitor19_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor20_{+}p \right) \\ \mathrm{connect}\left( resistor20_{+}n, capacitor20_{+}p \right) \\ \mathrm{connect}\left( capacitor20_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor20_{+}h, heat_{capacitor20_{+}h} \right) \\ rc20_{+}resistor20_{+}RTherm\left( t \right) = rc20_{+}resistor20_{+}R \left( 1 + rc20_{+}resistor20_{+}alpha \left( - rc20_{+}resistor20_{+}TAmbient + rc20_{+}resistor20_{+}h_{+}T\left( t \right) \right) \right) \\ rc20_{+}resistor20_{+}v\left( t \right) = rc20_{+}resistor20_{+}RTherm\left( t \right) rc20_{+}resistor20_{+}p_{+}i\left( t \right) \\ rc20_{+}resistor20_{+}h_{+}Q_{flow}\left( t \right) = - rc20_{+}resistor20_{+}p_{+}i\left( t \right) rc20_{+}resistor20_{+}v\left( t \right) \\ rc20_{+}resistor20_{+}v\left( t \right) = - rc20_{+}resistor20_{+}n_{+}v\left( t \right) + rc20_{+}resistor20_{+}p_{+}v\left( t \right) \\ 0 = rc20_{+}resistor20_{+}n_{+}i\left( t \right) + rc20_{+}resistor20_{+}p_{+}i\left( t \right) \\ rc20_{+}capacitor20_{+}v\left( t \right) = - rc20_{+}capacitor20_{+}n_{+}v\left( t \right) + rc20_{+}capacitor20_{+}p_{+}v\left( t \right) \\ 0 = rc20_{+}capacitor20_{+}n_{+}i\left( t \right) + rc20_{+}capacitor20_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc20_{+}capacitor20_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc20_{+}capacitor20_{+}p_{+}i\left( t \right)}{rc20_{+}capacitor20_{+}C} \\ rc20_{+}source_{+}V = - rc20_{+}source_{+}n_{+}v\left( t \right) + rc20_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc20_{+}source_{+}n_{+}i\left( t \right) + rc20_{+}source_{+}p_{+}i\left( t \right) \\ rc20_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc20_{+}heat_{capacitor20_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc20_{+}heat_{capacitor20_{+}h_{+}Q\_flow}\left( t \right)}{rc20_{+}heat_{capacitor20_{+}V} rc20_{+}heat_{capacitor20_{+}cp} rc20_{+}heat_{capacitor20_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor21_{+}p \right) \\ \mathrm{connect}\left( resistor21_{+}n, capacitor21_{+}p \right) \\ \mathrm{connect}\left( capacitor21_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor21_{+}h, heat_{capacitor21_{+}h} \right) \\ rc21_{+}resistor21_{+}RTherm\left( t \right) = rc21_{+}resistor21_{+}R \left( 1 + rc21_{+}resistor21_{+}alpha \left( - rc21_{+}resistor21_{+}TAmbient + rc21_{+}resistor21_{+}h_{+}T\left( t \right) \right) \right) \\ rc21_{+}resistor21_{+}v\left( t \right) = rc21_{+}resistor21_{+}RTherm\left( t \right) rc21_{+}resistor21_{+}p_{+}i\left( t \right) \\ rc21_{+}resistor21_{+}h_{+}Q_{flow}\left( t \right) = - rc21_{+}resistor21_{+}p_{+}i\left( t \right) rc21_{+}resistor21_{+}v\left( t \right) \\ rc21_{+}resistor21_{+}v\left( t \right) = - rc21_{+}resistor21_{+}n_{+}v\left( t \right) + rc21_{+}resistor21_{+}p_{+}v\left( t \right) \\ 0 = rc21_{+}resistor21_{+}n_{+}i\left( t \right) + rc21_{+}resistor21_{+}p_{+}i\left( t \right) \\ rc21_{+}capacitor21_{+}v\left( t \right) = - rc21_{+}capacitor21_{+}n_{+}v\left( t \right) + rc21_{+}capacitor21_{+}p_{+}v\left( t \right) \\ 0 = rc21_{+}capacitor21_{+}n_{+}i\left( t \right) + rc21_{+}capacitor21_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc21_{+}capacitor21_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc21_{+}capacitor21_{+}p_{+}i\left( t \right)}{rc21_{+}capacitor21_{+}C} \\ rc21_{+}source_{+}V = - rc21_{+}source_{+}n_{+}v\left( t \right) + rc21_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc21_{+}source_{+}n_{+}i\left( t \right) + rc21_{+}source_{+}p_{+}i\left( t \right) \\ rc21_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc21_{+}heat_{capacitor21_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc21_{+}heat_{capacitor21_{+}h_{+}Q\_flow}\left( t \right)}{rc21_{+}heat_{capacitor21_{+}V} rc21_{+}heat_{capacitor21_{+}cp} rc21_{+}heat_{capacitor21_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor22_{+}p \right) \\ \mathrm{connect}\left( resistor22_{+}n, capacitor22_{+}p \right) \\ \mathrm{connect}\left( capacitor22_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor22_{+}h, heat_{capacitor22_{+}h} \right) \\ rc22_{+}resistor22_{+}RTherm\left( t \right) = rc22_{+}resistor22_{+}R \left( 1 + rc22_{+}resistor22_{+}alpha \left( - rc22_{+}resistor22_{+}TAmbient + rc22_{+}resistor22_{+}h_{+}T\left( t \right) \right) \right) \\ rc22_{+}resistor22_{+}v\left( t \right) = rc22_{+}resistor22_{+}RTherm\left( t \right) rc22_{+}resistor22_{+}p_{+}i\left( t \right) \\ rc22_{+}resistor22_{+}h_{+}Q_{flow}\left( t \right) = - rc22_{+}resistor22_{+}p_{+}i\left( t \right) rc22_{+}resistor22_{+}v\left( t \right) \\ rc22_{+}resistor22_{+}v\left( t \right) = - rc22_{+}resistor22_{+}n_{+}v\left( t \right) + rc22_{+}resistor22_{+}p_{+}v\left( t \right) \\ 0 = rc22_{+}resistor22_{+}n_{+}i\left( t \right) + rc22_{+}resistor22_{+}p_{+}i\left( t \right) \\ rc22_{+}capacitor22_{+}v\left( t \right) = - rc22_{+}capacitor22_{+}n_{+}v\left( t \right) + rc22_{+}capacitor22_{+}p_{+}v\left( t \right) \\ 0 = rc22_{+}capacitor22_{+}n_{+}i\left( t \right) + rc22_{+}capacitor22_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc22_{+}capacitor22_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc22_{+}capacitor22_{+}p_{+}i\left( t \right)}{rc22_{+}capacitor22_{+}C} \\ rc22_{+}source_{+}V = - rc22_{+}source_{+}n_{+}v\left( t \right) + rc22_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc22_{+}source_{+}n_{+}i\left( t \right) + rc22_{+}source_{+}p_{+}i\left( t \right) \\ rc22_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc22_{+}heat_{capacitor22_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc22_{+}heat_{capacitor22_{+}h_{+}Q\_flow}\left( t \right)}{rc22_{+}heat_{capacitor22_{+}V} rc22_{+}heat_{capacitor22_{+}cp} rc22_{+}heat_{capacitor22_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor23_{+}p \right) \\ \mathrm{connect}\left( resistor23_{+}n, capacitor23_{+}p \right) \\ \mathrm{connect}\left( capacitor23_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor23_{+}h, heat_{capacitor23_{+}h} \right) \\ rc23_{+}resistor23_{+}RTherm\left( t \right) = rc23_{+}resistor23_{+}R \left( 1 + rc23_{+}resistor23_{+}alpha \left( - rc23_{+}resistor23_{+}TAmbient + rc23_{+}resistor23_{+}h_{+}T\left( t \right) \right) \right) \\ rc23_{+}resistor23_{+}v\left( t \right) = rc23_{+}resistor23_{+}RTherm\left( t \right) rc23_{+}resistor23_{+}p_{+}i\left( t \right) \\ rc23_{+}resistor23_{+}h_{+}Q_{flow}\left( t \right) = - rc23_{+}resistor23_{+}p_{+}i\left( t \right) rc23_{+}resistor23_{+}v\left( t \right) \\ rc23_{+}resistor23_{+}v\left( t \right) = - rc23_{+}resistor23_{+}n_{+}v\left( t \right) + rc23_{+}resistor23_{+}p_{+}v\left( t \right) \\ 0 = rc23_{+}resistor23_{+}n_{+}i\left( t \right) + rc23_{+}resistor23_{+}p_{+}i\left( t \right) \\ rc23_{+}capacitor23_{+}v\left( t \right) = - rc23_{+}capacitor23_{+}n_{+}v\left( t \right) + rc23_{+}capacitor23_{+}p_{+}v\left( t \right) \\ 0 = rc23_{+}capacitor23_{+}n_{+}i\left( t \right) + rc23_{+}capacitor23_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc23_{+}capacitor23_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc23_{+}capacitor23_{+}p_{+}i\left( t \right)}{rc23_{+}capacitor23_{+}C} \\ rc23_{+}source_{+}V = - rc23_{+}source_{+}n_{+}v\left( t \right) + rc23_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc23_{+}source_{+}n_{+}i\left( t \right) + rc23_{+}source_{+}p_{+}i\left( t \right) \\ rc23_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc23_{+}heat_{capacitor23_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc23_{+}heat_{capacitor23_{+}h_{+}Q\_flow}\left( t \right)}{rc23_{+}heat_{capacitor23_{+}V} rc23_{+}heat_{capacitor23_{+}cp} rc23_{+}heat_{capacitor23_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor24_{+}p \right) \\ \mathrm{connect}\left( resistor24_{+}n, capacitor24_{+}p \right) \\ \mathrm{connect}\left( capacitor24_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor24_{+}h, heat_{capacitor24_{+}h} \right) \\ rc24_{+}resistor24_{+}RTherm\left( t \right) = rc24_{+}resistor24_{+}R \left( 1 + rc24_{+}resistor24_{+}alpha \left( - rc24_{+}resistor24_{+}TAmbient + rc24_{+}resistor24_{+}h_{+}T\left( t \right) \right) \right) \\ rc24_{+}resistor24_{+}v\left( t \right) = rc24_{+}resistor24_{+}RTherm\left( t \right) rc24_{+}resistor24_{+}p_{+}i\left( t \right) \\ rc24_{+}resistor24_{+}h_{+}Q_{flow}\left( t \right) = - rc24_{+}resistor24_{+}p_{+}i\left( t \right) rc24_{+}resistor24_{+}v\left( t \right) \\ rc24_{+}resistor24_{+}v\left( t \right) = - rc24_{+}resistor24_{+}n_{+}v\left( t \right) + rc24_{+}resistor24_{+}p_{+}v\left( t \right) \\ 0 = rc24_{+}resistor24_{+}n_{+}i\left( t \right) + rc24_{+}resistor24_{+}p_{+}i\left( t \right) \\ rc24_{+}capacitor24_{+}v\left( t \right) = - rc24_{+}capacitor24_{+}n_{+}v\left( t \right) + rc24_{+}capacitor24_{+}p_{+}v\left( t \right) \\ 0 = rc24_{+}capacitor24_{+}n_{+}i\left( t \right) + rc24_{+}capacitor24_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc24_{+}capacitor24_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc24_{+}capacitor24_{+}p_{+}i\left( t \right)}{rc24_{+}capacitor24_{+}C} \\ rc24_{+}source_{+}V = - rc24_{+}source_{+}n_{+}v\left( t \right) + rc24_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc24_{+}source_{+}n_{+}i\left( t \right) + rc24_{+}source_{+}p_{+}i\left( t \right) \\ rc24_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc24_{+}heat_{capacitor24_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc24_{+}heat_{capacitor24_{+}h_{+}Q\_flow}\left( t \right)}{rc24_{+}heat_{capacitor24_{+}V} rc24_{+}heat_{capacitor24_{+}cp} rc24_{+}heat_{capacitor24_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor25_{+}p \right) \\ \mathrm{connect}\left( resistor25_{+}n, capacitor25_{+}p \right) \\ \mathrm{connect}\left( capacitor25_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor25_{+}h, heat_{capacitor25_{+}h} \right) \\ rc25_{+}resistor25_{+}RTherm\left( t \right) = rc25_{+}resistor25_{+}R \left( 1 + rc25_{+}resistor25_{+}alpha \left( - rc25_{+}resistor25_{+}TAmbient + rc25_{+}resistor25_{+}h_{+}T\left( t \right) \right) \right) \\ rc25_{+}resistor25_{+}v\left( t \right) = rc25_{+}resistor25_{+}RTherm\left( t \right) rc25_{+}resistor25_{+}p_{+}i\left( t \right) \\ rc25_{+}resistor25_{+}h_{+}Q_{flow}\left( t \right) = - rc25_{+}resistor25_{+}p_{+}i\left( t \right) rc25_{+}resistor25_{+}v\left( t \right) \\ rc25_{+}resistor25_{+}v\left( t \right) = - rc25_{+}resistor25_{+}n_{+}v\left( t \right) + rc25_{+}resistor25_{+}p_{+}v\left( t \right) \\ 0 = rc25_{+}resistor25_{+}n_{+}i\left( t \right) + rc25_{+}resistor25_{+}p_{+}i\left( t \right) \\ rc25_{+}capacitor25_{+}v\left( t \right) = - rc25_{+}capacitor25_{+}n_{+}v\left( t \right) + rc25_{+}capacitor25_{+}p_{+}v\left( t \right) \\ 0 = rc25_{+}capacitor25_{+}n_{+}i\left( t \right) + rc25_{+}capacitor25_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc25_{+}capacitor25_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc25_{+}capacitor25_{+}p_{+}i\left( t \right)}{rc25_{+}capacitor25_{+}C} \\ rc25_{+}source_{+}V = - rc25_{+}source_{+}n_{+}v\left( t \right) + rc25_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc25_{+}source_{+}n_{+}i\left( t \right) + rc25_{+}source_{+}p_{+}i\left( t \right) \\ rc25_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc25_{+}heat_{capacitor25_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc25_{+}heat_{capacitor25_{+}h_{+}Q\_flow}\left( t \right)}{rc25_{+}heat_{capacitor25_{+}V} rc25_{+}heat_{capacitor25_{+}cp} rc25_{+}heat_{capacitor25_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor26_{+}p \right) \\ \mathrm{connect}\left( resistor26_{+}n, capacitor26_{+}p \right) \\ \mathrm{connect}\left( capacitor26_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor26_{+}h, heat_{capacitor26_{+}h} \right) \\ rc26_{+}resistor26_{+}RTherm\left( t \right) = rc26_{+}resistor26_{+}R \left( 1 + rc26_{+}resistor26_{+}alpha \left( - rc26_{+}resistor26_{+}TAmbient + rc26_{+}resistor26_{+}h_{+}T\left( t \right) \right) \right) \\ rc26_{+}resistor26_{+}v\left( t \right) = rc26_{+}resistor26_{+}RTherm\left( t \right) rc26_{+}resistor26_{+}p_{+}i\left( t \right) \\ rc26_{+}resistor26_{+}h_{+}Q_{flow}\left( t \right) = - rc26_{+}resistor26_{+}p_{+}i\left( t \right) rc26_{+}resistor26_{+}v\left( t \right) \\ rc26_{+}resistor26_{+}v\left( t \right) = - rc26_{+}resistor26_{+}n_{+}v\left( t \right) + rc26_{+}resistor26_{+}p_{+}v\left( t \right) \\ 0 = rc26_{+}resistor26_{+}n_{+}i\left( t \right) + rc26_{+}resistor26_{+}p_{+}i\left( t \right) \\ rc26_{+}capacitor26_{+}v\left( t \right) = - rc26_{+}capacitor26_{+}n_{+}v\left( t \right) + rc26_{+}capacitor26_{+}p_{+}v\left( t \right) \\ 0 = rc26_{+}capacitor26_{+}n_{+}i\left( t \right) + rc26_{+}capacitor26_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc26_{+}capacitor26_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc26_{+}capacitor26_{+}p_{+}i\left( t \right)}{rc26_{+}capacitor26_{+}C} \\ rc26_{+}source_{+}V = - rc26_{+}source_{+}n_{+}v\left( t \right) + rc26_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc26_{+}source_{+}n_{+}i\left( t \right) + rc26_{+}source_{+}p_{+}i\left( t \right) \\ rc26_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc26_{+}heat_{capacitor26_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc26_{+}heat_{capacitor26_{+}h_{+}Q\_flow}\left( t \right)}{rc26_{+}heat_{capacitor26_{+}V} rc26_{+}heat_{capacitor26_{+}cp} rc26_{+}heat_{capacitor26_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor27_{+}p \right) \\ \mathrm{connect}\left( resistor27_{+}n, capacitor27_{+}p \right) \\ \mathrm{connect}\left( capacitor27_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor27_{+}h, heat_{capacitor27_{+}h} \right) \\ rc27_{+}resistor27_{+}RTherm\left( t \right) = rc27_{+}resistor27_{+}R \left( 1 + rc27_{+}resistor27_{+}alpha \left( - rc27_{+}resistor27_{+}TAmbient + rc27_{+}resistor27_{+}h_{+}T\left( t \right) \right) \right) \\ rc27_{+}resistor27_{+}v\left( t \right) = rc27_{+}resistor27_{+}RTherm\left( t \right) rc27_{+}resistor27_{+}p_{+}i\left( t \right) \\ rc27_{+}resistor27_{+}h_{+}Q_{flow}\left( t \right) = - rc27_{+}resistor27_{+}p_{+}i\left( t \right) rc27_{+}resistor27_{+}v\left( t \right) \\ rc27_{+}resistor27_{+}v\left( t \right) = - rc27_{+}resistor27_{+}n_{+}v\left( t \right) + rc27_{+}resistor27_{+}p_{+}v\left( t \right) \\ 0 = rc27_{+}resistor27_{+}n_{+}i\left( t \right) + rc27_{+}resistor27_{+}p_{+}i\left( t \right) \\ rc27_{+}capacitor27_{+}v\left( t \right) = - rc27_{+}capacitor27_{+}n_{+}v\left( t \right) + rc27_{+}capacitor27_{+}p_{+}v\left( t \right) \\ 0 = rc27_{+}capacitor27_{+}n_{+}i\left( t \right) + rc27_{+}capacitor27_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc27_{+}capacitor27_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc27_{+}capacitor27_{+}p_{+}i\left( t \right)}{rc27_{+}capacitor27_{+}C} \\ rc27_{+}source_{+}V = - rc27_{+}source_{+}n_{+}v\left( t \right) + rc27_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc27_{+}source_{+}n_{+}i\left( t \right) + rc27_{+}source_{+}p_{+}i\left( t \right) \\ rc27_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc27_{+}heat_{capacitor27_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc27_{+}heat_{capacitor27_{+}h_{+}Q\_flow}\left( t \right)}{rc27_{+}heat_{capacitor27_{+}V} rc27_{+}heat_{capacitor27_{+}cp} rc27_{+}heat_{capacitor27_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor28_{+}p \right) \\ \mathrm{connect}\left( resistor28_{+}n, capacitor28_{+}p \right) \\ \mathrm{connect}\left( capacitor28_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor28_{+}h, heat_{capacitor28_{+}h} \right) \\ rc28_{+}resistor28_{+}RTherm\left( t \right) = rc28_{+}resistor28_{+}R \left( 1 + rc28_{+}resistor28_{+}alpha \left( - rc28_{+}resistor28_{+}TAmbient + rc28_{+}resistor28_{+}h_{+}T\left( t \right) \right) \right) \\ rc28_{+}resistor28_{+}v\left( t \right) = rc28_{+}resistor28_{+}RTherm\left( t \right) rc28_{+}resistor28_{+}p_{+}i\left( t \right) \\ rc28_{+}resistor28_{+}h_{+}Q_{flow}\left( t \right) = - rc28_{+}resistor28_{+}p_{+}i\left( t \right) rc28_{+}resistor28_{+}v\left( t \right) \\ rc28_{+}resistor28_{+}v\left( t \right) = - rc28_{+}resistor28_{+}n_{+}v\left( t \right) + rc28_{+}resistor28_{+}p_{+}v\left( t \right) \\ 0 = rc28_{+}resistor28_{+}n_{+}i\left( t \right) + rc28_{+}resistor28_{+}p_{+}i\left( t \right) \\ rc28_{+}capacitor28_{+}v\left( t \right) = - rc28_{+}capacitor28_{+}n_{+}v\left( t \right) + rc28_{+}capacitor28_{+}p_{+}v\left( t \right) \\ 0 = rc28_{+}capacitor28_{+}n_{+}i\left( t \right) + rc28_{+}capacitor28_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc28_{+}capacitor28_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc28_{+}capacitor28_{+}p_{+}i\left( t \right)}{rc28_{+}capacitor28_{+}C} \\ rc28_{+}source_{+}V = - rc28_{+}source_{+}n_{+}v\left( t \right) + rc28_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc28_{+}source_{+}n_{+}i\left( t \right) + rc28_{+}source_{+}p_{+}i\left( t \right) \\ rc28_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc28_{+}heat_{capacitor28_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc28_{+}heat_{capacitor28_{+}h_{+}Q\_flow}\left( t \right)}{rc28_{+}heat_{capacitor28_{+}V} rc28_{+}heat_{capacitor28_{+}cp} rc28_{+}heat_{capacitor28_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor29_{+}p \right) \\ \mathrm{connect}\left( resistor29_{+}n, capacitor29_{+}p \right) \\ \mathrm{connect}\left( capacitor29_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor29_{+}h, heat_{capacitor29_{+}h} \right) \\ rc29_{+}resistor29_{+}RTherm\left( t \right) = rc29_{+}resistor29_{+}R \left( 1 + rc29_{+}resistor29_{+}alpha \left( - rc29_{+}resistor29_{+}TAmbient + rc29_{+}resistor29_{+}h_{+}T\left( t \right) \right) \right) \\ rc29_{+}resistor29_{+}v\left( t \right) = rc29_{+}resistor29_{+}RTherm\left( t \right) rc29_{+}resistor29_{+}p_{+}i\left( t \right) \\ rc29_{+}resistor29_{+}h_{+}Q_{flow}\left( t \right) = - rc29_{+}resistor29_{+}p_{+}i\left( t \right) rc29_{+}resistor29_{+}v\left( t \right) \\ rc29_{+}resistor29_{+}v\left( t \right) = - rc29_{+}resistor29_{+}n_{+}v\left( t \right) + rc29_{+}resistor29_{+}p_{+}v\left( t \right) \\ 0 = rc29_{+}resistor29_{+}n_{+}i\left( t \right) + rc29_{+}resistor29_{+}p_{+}i\left( t \right) \\ rc29_{+}capacitor29_{+}v\left( t \right) = - rc29_{+}capacitor29_{+}n_{+}v\left( t \right) + rc29_{+}capacitor29_{+}p_{+}v\left( t \right) \\ 0 = rc29_{+}capacitor29_{+}n_{+}i\left( t \right) + rc29_{+}capacitor29_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc29_{+}capacitor29_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc29_{+}capacitor29_{+}p_{+}i\left( t \right)}{rc29_{+}capacitor29_{+}C} \\ rc29_{+}source_{+}V = - rc29_{+}source_{+}n_{+}v\left( t \right) + rc29_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc29_{+}source_{+}n_{+}i\left( t \right) + rc29_{+}source_{+}p_{+}i\left( t \right) \\ rc29_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc29_{+}heat_{capacitor29_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc29_{+}heat_{capacitor29_{+}h_{+}Q\_flow}\left( t \right)}{rc29_{+}heat_{capacitor29_{+}V} rc29_{+}heat_{capacitor29_{+}cp} rc29_{+}heat_{capacitor29_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor30_{+}p \right) \\ \mathrm{connect}\left( resistor30_{+}n, capacitor30_{+}p \right) \\ \mathrm{connect}\left( capacitor30_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor30_{+}h, heat_{capacitor30_{+}h} \right) \\ rc30_{+}resistor30_{+}RTherm\left( t \right) = rc30_{+}resistor30_{+}R \left( 1 + rc30_{+}resistor30_{+}alpha \left( - rc30_{+}resistor30_{+}TAmbient + rc30_{+}resistor30_{+}h_{+}T\left( t \right) \right) \right) \\ rc30_{+}resistor30_{+}v\left( t \right) = rc30_{+}resistor30_{+}RTherm\left( t \right) rc30_{+}resistor30_{+}p_{+}i\left( t \right) \\ rc30_{+}resistor30_{+}h_{+}Q_{flow}\left( t \right) = - rc30_{+}resistor30_{+}p_{+}i\left( t \right) rc30_{+}resistor30_{+}v\left( t \right) \\ rc30_{+}resistor30_{+}v\left( t \right) = - rc30_{+}resistor30_{+}n_{+}v\left( t \right) + rc30_{+}resistor30_{+}p_{+}v\left( t \right) \\ 0 = rc30_{+}resistor30_{+}n_{+}i\left( t \right) + rc30_{+}resistor30_{+}p_{+}i\left( t \right) \\ rc30_{+}capacitor30_{+}v\left( t \right) = - rc30_{+}capacitor30_{+}n_{+}v\left( t \right) + rc30_{+}capacitor30_{+}p_{+}v\left( t \right) \\ 0 = rc30_{+}capacitor30_{+}n_{+}i\left( t \right) + rc30_{+}capacitor30_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc30_{+}capacitor30_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc30_{+}capacitor30_{+}p_{+}i\left( t \right)}{rc30_{+}capacitor30_{+}C} \\ rc30_{+}source_{+}V = - rc30_{+}source_{+}n_{+}v\left( t \right) + rc30_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc30_{+}source_{+}n_{+}i\left( t \right) + rc30_{+}source_{+}p_{+}i\left( t \right) \\ rc30_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc30_{+}heat_{capacitor30_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc30_{+}heat_{capacitor30_{+}h_{+}Q\_flow}\left( t \right)}{rc30_{+}heat_{capacitor30_{+}V} rc30_{+}heat_{capacitor30_{+}cp} rc30_{+}heat_{capacitor30_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor31_{+}p \right) \\ \mathrm{connect}\left( resistor31_{+}n, capacitor31_{+}p \right) \\ \mathrm{connect}\left( capacitor31_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor31_{+}h, heat_{capacitor31_{+}h} \right) \\ rc31_{+}resistor31_{+}RTherm\left( t \right) = rc31_{+}resistor31_{+}R \left( 1 + rc31_{+}resistor31_{+}alpha \left( - rc31_{+}resistor31_{+}TAmbient + rc31_{+}resistor31_{+}h_{+}T\left( t \right) \right) \right) \\ rc31_{+}resistor31_{+}v\left( t \right) = rc31_{+}resistor31_{+}RTherm\left( t \right) rc31_{+}resistor31_{+}p_{+}i\left( t \right) \\ rc31_{+}resistor31_{+}h_{+}Q_{flow}\left( t \right) = - rc31_{+}resistor31_{+}p_{+}i\left( t \right) rc31_{+}resistor31_{+}v\left( t \right) \\ rc31_{+}resistor31_{+}v\left( t \right) = - rc31_{+}resistor31_{+}n_{+}v\left( t \right) + rc31_{+}resistor31_{+}p_{+}v\left( t \right) \\ 0 = rc31_{+}resistor31_{+}n_{+}i\left( t \right) + rc31_{+}resistor31_{+}p_{+}i\left( t \right) \\ rc31_{+}capacitor31_{+}v\left( t \right) = - rc31_{+}capacitor31_{+}n_{+}v\left( t \right) + rc31_{+}capacitor31_{+}p_{+}v\left( t \right) \\ 0 = rc31_{+}capacitor31_{+}n_{+}i\left( t \right) + rc31_{+}capacitor31_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc31_{+}capacitor31_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc31_{+}capacitor31_{+}p_{+}i\left( t \right)}{rc31_{+}capacitor31_{+}C} \\ rc31_{+}source_{+}V = - rc31_{+}source_{+}n_{+}v\left( t \right) + rc31_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc31_{+}source_{+}n_{+}i\left( t \right) + rc31_{+}source_{+}p_{+}i\left( t \right) \\ rc31_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc31_{+}heat_{capacitor31_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc31_{+}heat_{capacitor31_{+}h_{+}Q\_flow}\left( t \right)}{rc31_{+}heat_{capacitor31_{+}V} rc31_{+}heat_{capacitor31_{+}cp} rc31_{+}heat_{capacitor31_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor32_{+}p \right) \\ \mathrm{connect}\left( resistor32_{+}n, capacitor32_{+}p \right) \\ \mathrm{connect}\left( capacitor32_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor32_{+}h, heat_{capacitor32_{+}h} \right) \\ rc32_{+}resistor32_{+}RTherm\left( t \right) = rc32_{+}resistor32_{+}R \left( 1 + rc32_{+}resistor32_{+}alpha \left( - rc32_{+}resistor32_{+}TAmbient + rc32_{+}resistor32_{+}h_{+}T\left( t \right) \right) \right) \\ rc32_{+}resistor32_{+}v\left( t \right) = rc32_{+}resistor32_{+}RTherm\left( t \right) rc32_{+}resistor32_{+}p_{+}i\left( t \right) \\ rc32_{+}resistor32_{+}h_{+}Q_{flow}\left( t \right) = - rc32_{+}resistor32_{+}p_{+}i\left( t \right) rc32_{+}resistor32_{+}v\left( t \right) \\ rc32_{+}resistor32_{+}v\left( t \right) = - rc32_{+}resistor32_{+}n_{+}v\left( t \right) + rc32_{+}resistor32_{+}p_{+}v\left( t \right) \\ 0 = rc32_{+}resistor32_{+}n_{+}i\left( t \right) + rc32_{+}resistor32_{+}p_{+}i\left( t \right) \\ rc32_{+}capacitor32_{+}v\left( t \right) = - rc32_{+}capacitor32_{+}n_{+}v\left( t \right) + rc32_{+}capacitor32_{+}p_{+}v\left( t \right) \\ 0 = rc32_{+}capacitor32_{+}n_{+}i\left( t \right) + rc32_{+}capacitor32_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc32_{+}capacitor32_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc32_{+}capacitor32_{+}p_{+}i\left( t \right)}{rc32_{+}capacitor32_{+}C} \\ rc32_{+}source_{+}V = - rc32_{+}source_{+}n_{+}v\left( t \right) + rc32_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc32_{+}source_{+}n_{+}i\left( t \right) + rc32_{+}source_{+}p_{+}i\left( t \right) \\ rc32_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc32_{+}heat_{capacitor32_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc32_{+}heat_{capacitor32_{+}h_{+}Q\_flow}\left( t \right)}{rc32_{+}heat_{capacitor32_{+}V} rc32_{+}heat_{capacitor32_{+}cp} rc32_{+}heat_{capacitor32_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor33_{+}p \right) \\ \mathrm{connect}\left( resistor33_{+}n, capacitor33_{+}p \right) \\ \mathrm{connect}\left( capacitor33_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor33_{+}h, heat_{capacitor33_{+}h} \right) \\ rc33_{+}resistor33_{+}RTherm\left( t \right) = rc33_{+}resistor33_{+}R \left( 1 + rc33_{+}resistor33_{+}alpha \left( - rc33_{+}resistor33_{+}TAmbient + rc33_{+}resistor33_{+}h_{+}T\left( t \right) \right) \right) \\ rc33_{+}resistor33_{+}v\left( t \right) = rc33_{+}resistor33_{+}RTherm\left( t \right) rc33_{+}resistor33_{+}p_{+}i\left( t \right) \\ rc33_{+}resistor33_{+}h_{+}Q_{flow}\left( t \right) = - rc33_{+}resistor33_{+}p_{+}i\left( t \right) rc33_{+}resistor33_{+}v\left( t \right) \\ rc33_{+}resistor33_{+}v\left( t \right) = - rc33_{+}resistor33_{+}n_{+}v\left( t \right) + rc33_{+}resistor33_{+}p_{+}v\left( t \right) \\ 0 = rc33_{+}resistor33_{+}n_{+}i\left( t \right) + rc33_{+}resistor33_{+}p_{+}i\left( t \right) \\ rc33_{+}capacitor33_{+}v\left( t \right) = - rc33_{+}capacitor33_{+}n_{+}v\left( t \right) + rc33_{+}capacitor33_{+}p_{+}v\left( t \right) \\ 0 = rc33_{+}capacitor33_{+}n_{+}i\left( t \right) + rc33_{+}capacitor33_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc33_{+}capacitor33_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc33_{+}capacitor33_{+}p_{+}i\left( t \right)}{rc33_{+}capacitor33_{+}C} \\ rc33_{+}source_{+}V = - rc33_{+}source_{+}n_{+}v\left( t \right) + rc33_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc33_{+}source_{+}n_{+}i\left( t \right) + rc33_{+}source_{+}p_{+}i\left( t \right) \\ rc33_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc33_{+}heat_{capacitor33_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc33_{+}heat_{capacitor33_{+}h_{+}Q\_flow}\left( t \right)}{rc33_{+}heat_{capacitor33_{+}V} rc33_{+}heat_{capacitor33_{+}cp} rc33_{+}heat_{capacitor33_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor34_{+}p \right) \\ \mathrm{connect}\left( resistor34_{+}n, capacitor34_{+}p \right) \\ \mathrm{connect}\left( capacitor34_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor34_{+}h, heat_{capacitor34_{+}h} \right) \\ rc34_{+}resistor34_{+}RTherm\left( t \right) = rc34_{+}resistor34_{+}R \left( 1 + rc34_{+}resistor34_{+}alpha \left( - rc34_{+}resistor34_{+}TAmbient + rc34_{+}resistor34_{+}h_{+}T\left( t \right) \right) \right) \\ rc34_{+}resistor34_{+}v\left( t \right) = rc34_{+}resistor34_{+}RTherm\left( t \right) rc34_{+}resistor34_{+}p_{+}i\left( t \right) \\ rc34_{+}resistor34_{+}h_{+}Q_{flow}\left( t \right) = - rc34_{+}resistor34_{+}p_{+}i\left( t \right) rc34_{+}resistor34_{+}v\left( t \right) \\ rc34_{+}resistor34_{+}v\left( t \right) = - rc34_{+}resistor34_{+}n_{+}v\left( t \right) + rc34_{+}resistor34_{+}p_{+}v\left( t \right) \\ 0 = rc34_{+}resistor34_{+}n_{+}i\left( t \right) + rc34_{+}resistor34_{+}p_{+}i\left( t \right) \\ rc34_{+}capacitor34_{+}v\left( t \right) = - rc34_{+}capacitor34_{+}n_{+}v\left( t \right) + rc34_{+}capacitor34_{+}p_{+}v\left( t \right) \\ 0 = rc34_{+}capacitor34_{+}n_{+}i\left( t \right) + rc34_{+}capacitor34_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc34_{+}capacitor34_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc34_{+}capacitor34_{+}p_{+}i\left( t \right)}{rc34_{+}capacitor34_{+}C} \\ rc34_{+}source_{+}V = - rc34_{+}source_{+}n_{+}v\left( t \right) + rc34_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc34_{+}source_{+}n_{+}i\left( t \right) + rc34_{+}source_{+}p_{+}i\left( t \right) \\ rc34_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc34_{+}heat_{capacitor34_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc34_{+}heat_{capacitor34_{+}h_{+}Q\_flow}\left( t \right)}{rc34_{+}heat_{capacitor34_{+}V} rc34_{+}heat_{capacitor34_{+}cp} rc34_{+}heat_{capacitor34_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor35_{+}p \right) \\ \mathrm{connect}\left( resistor35_{+}n, capacitor35_{+}p \right) \\ \mathrm{connect}\left( capacitor35_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor35_{+}h, heat_{capacitor35_{+}h} \right) \\ rc35_{+}resistor35_{+}RTherm\left( t \right) = rc35_{+}resistor35_{+}R \left( 1 + rc35_{+}resistor35_{+}alpha \left( - rc35_{+}resistor35_{+}TAmbient + rc35_{+}resistor35_{+}h_{+}T\left( t \right) \right) \right) \\ rc35_{+}resistor35_{+}v\left( t \right) = rc35_{+}resistor35_{+}RTherm\left( t \right) rc35_{+}resistor35_{+}p_{+}i\left( t \right) \\ rc35_{+}resistor35_{+}h_{+}Q_{flow}\left( t \right) = - rc35_{+}resistor35_{+}p_{+}i\left( t \right) rc35_{+}resistor35_{+}v\left( t \right) \\ rc35_{+}resistor35_{+}v\left( t \right) = - rc35_{+}resistor35_{+}n_{+}v\left( t \right) + rc35_{+}resistor35_{+}p_{+}v\left( t \right) \\ 0 = rc35_{+}resistor35_{+}n_{+}i\left( t \right) + rc35_{+}resistor35_{+}p_{+}i\left( t \right) \\ rc35_{+}capacitor35_{+}v\left( t \right) = - rc35_{+}capacitor35_{+}n_{+}v\left( t \right) + rc35_{+}capacitor35_{+}p_{+}v\left( t \right) \\ 0 = rc35_{+}capacitor35_{+}n_{+}i\left( t \right) + rc35_{+}capacitor35_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc35_{+}capacitor35_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc35_{+}capacitor35_{+}p_{+}i\left( t \right)}{rc35_{+}capacitor35_{+}C} \\ rc35_{+}source_{+}V = - rc35_{+}source_{+}n_{+}v\left( t \right) + rc35_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc35_{+}source_{+}n_{+}i\left( t \right) + rc35_{+}source_{+}p_{+}i\left( t \right) \\ rc35_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc35_{+}heat_{capacitor35_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc35_{+}heat_{capacitor35_{+}h_{+}Q\_flow}\left( t \right)}{rc35_{+}heat_{capacitor35_{+}V} rc35_{+}heat_{capacitor35_{+}cp} rc35_{+}heat_{capacitor35_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor36_{+}p \right) \\ \mathrm{connect}\left( resistor36_{+}n, capacitor36_{+}p \right) \\ \mathrm{connect}\left( capacitor36_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor36_{+}h, heat_{capacitor36_{+}h} \right) \\ rc36_{+}resistor36_{+}RTherm\left( t \right) = rc36_{+}resistor36_{+}R \left( 1 + rc36_{+}resistor36_{+}alpha \left( - rc36_{+}resistor36_{+}TAmbient + rc36_{+}resistor36_{+}h_{+}T\left( t \right) \right) \right) \\ rc36_{+}resistor36_{+}v\left( t \right) = rc36_{+}resistor36_{+}RTherm\left( t \right) rc36_{+}resistor36_{+}p_{+}i\left( t \right) \\ rc36_{+}resistor36_{+}h_{+}Q_{flow}\left( t \right) = - rc36_{+}resistor36_{+}p_{+}i\left( t \right) rc36_{+}resistor36_{+}v\left( t \right) \\ rc36_{+}resistor36_{+}v\left( t \right) = - rc36_{+}resistor36_{+}n_{+}v\left( t \right) + rc36_{+}resistor36_{+}p_{+}v\left( t \right) \\ 0 = rc36_{+}resistor36_{+}n_{+}i\left( t \right) + rc36_{+}resistor36_{+}p_{+}i\left( t \right) \\ rc36_{+}capacitor36_{+}v\left( t \right) = - rc36_{+}capacitor36_{+}n_{+}v\left( t \right) + rc36_{+}capacitor36_{+}p_{+}v\left( t \right) \\ 0 = rc36_{+}capacitor36_{+}n_{+}i\left( t \right) + rc36_{+}capacitor36_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc36_{+}capacitor36_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc36_{+}capacitor36_{+}p_{+}i\left( t \right)}{rc36_{+}capacitor36_{+}C} \\ rc36_{+}source_{+}V = - rc36_{+}source_{+}n_{+}v\left( t \right) + rc36_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc36_{+}source_{+}n_{+}i\left( t \right) + rc36_{+}source_{+}p_{+}i\left( t \right) \\ rc36_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc36_{+}heat_{capacitor36_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc36_{+}heat_{capacitor36_{+}h_{+}Q\_flow}\left( t \right)}{rc36_{+}heat_{capacitor36_{+}V} rc36_{+}heat_{capacitor36_{+}cp} rc36_{+}heat_{capacitor36_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor37_{+}p \right) \\ \mathrm{connect}\left( resistor37_{+}n, capacitor37_{+}p \right) \\ \mathrm{connect}\left( capacitor37_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor37_{+}h, heat_{capacitor37_{+}h} \right) \\ rc37_{+}resistor37_{+}RTherm\left( t \right) = rc37_{+}resistor37_{+}R \left( 1 + rc37_{+}resistor37_{+}alpha \left( - rc37_{+}resistor37_{+}TAmbient + rc37_{+}resistor37_{+}h_{+}T\left( t \right) \right) \right) \\ rc37_{+}resistor37_{+}v\left( t \right) = rc37_{+}resistor37_{+}RTherm\left( t \right) rc37_{+}resistor37_{+}p_{+}i\left( t \right) \\ rc37_{+}resistor37_{+}h_{+}Q_{flow}\left( t \right) = - rc37_{+}resistor37_{+}p_{+}i\left( t \right) rc37_{+}resistor37_{+}v\left( t \right) \\ rc37_{+}resistor37_{+}v\left( t \right) = - rc37_{+}resistor37_{+}n_{+}v\left( t \right) + rc37_{+}resistor37_{+}p_{+}v\left( t \right) \\ 0 = rc37_{+}resistor37_{+}n_{+}i\left( t \right) + rc37_{+}resistor37_{+}p_{+}i\left( t \right) \\ rc37_{+}capacitor37_{+}v\left( t \right) = - rc37_{+}capacitor37_{+}n_{+}v\left( t \right) + rc37_{+}capacitor37_{+}p_{+}v\left( t \right) \\ 0 = rc37_{+}capacitor37_{+}n_{+}i\left( t \right) + rc37_{+}capacitor37_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc37_{+}capacitor37_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc37_{+}capacitor37_{+}p_{+}i\left( t \right)}{rc37_{+}capacitor37_{+}C} \\ rc37_{+}source_{+}V = - rc37_{+}source_{+}n_{+}v\left( t \right) + rc37_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc37_{+}source_{+}n_{+}i\left( t \right) + rc37_{+}source_{+}p_{+}i\left( t \right) \\ rc37_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc37_{+}heat_{capacitor37_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc37_{+}heat_{capacitor37_{+}h_{+}Q\_flow}\left( t \right)}{rc37_{+}heat_{capacitor37_{+}V} rc37_{+}heat_{capacitor37_{+}cp} rc37_{+}heat_{capacitor37_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor38_{+}p \right) \\ \mathrm{connect}\left( resistor38_{+}n, capacitor38_{+}p \right) \\ \mathrm{connect}\left( capacitor38_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor38_{+}h, heat_{capacitor38_{+}h} \right) \\ rc38_{+}resistor38_{+}RTherm\left( t \right) = rc38_{+}resistor38_{+}R \left( 1 + rc38_{+}resistor38_{+}alpha \left( - rc38_{+}resistor38_{+}TAmbient + rc38_{+}resistor38_{+}h_{+}T\left( t \right) \right) \right) \\ rc38_{+}resistor38_{+}v\left( t \right) = rc38_{+}resistor38_{+}RTherm\left( t \right) rc38_{+}resistor38_{+}p_{+}i\left( t \right) \\ rc38_{+}resistor38_{+}h_{+}Q_{flow}\left( t \right) = - rc38_{+}resistor38_{+}p_{+}i\left( t \right) rc38_{+}resistor38_{+}v\left( t \right) \\ rc38_{+}resistor38_{+}v\left( t \right) = - rc38_{+}resistor38_{+}n_{+}v\left( t \right) + rc38_{+}resistor38_{+}p_{+}v\left( t \right) \\ 0 = rc38_{+}resistor38_{+}n_{+}i\left( t \right) + rc38_{+}resistor38_{+}p_{+}i\left( t \right) \\ rc38_{+}capacitor38_{+}v\left( t \right) = - rc38_{+}capacitor38_{+}n_{+}v\left( t \right) + rc38_{+}capacitor38_{+}p_{+}v\left( t \right) \\ 0 = rc38_{+}capacitor38_{+}n_{+}i\left( t \right) + rc38_{+}capacitor38_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc38_{+}capacitor38_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc38_{+}capacitor38_{+}p_{+}i\left( t \right)}{rc38_{+}capacitor38_{+}C} \\ rc38_{+}source_{+}V = - rc38_{+}source_{+}n_{+}v\left( t \right) + rc38_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc38_{+}source_{+}n_{+}i\left( t \right) + rc38_{+}source_{+}p_{+}i\left( t \right) \\ rc38_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc38_{+}heat_{capacitor38_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc38_{+}heat_{capacitor38_{+}h_{+}Q\_flow}\left( t \right)}{rc38_{+}heat_{capacitor38_{+}V} rc38_{+}heat_{capacitor38_{+}cp} rc38_{+}heat_{capacitor38_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor39_{+}p \right) \\ \mathrm{connect}\left( resistor39_{+}n, capacitor39_{+}p \right) \\ \mathrm{connect}\left( capacitor39_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor39_{+}h, heat_{capacitor39_{+}h} \right) \\ rc39_{+}resistor39_{+}RTherm\left( t \right) = rc39_{+}resistor39_{+}R \left( 1 + rc39_{+}resistor39_{+}alpha \left( - rc39_{+}resistor39_{+}TAmbient + rc39_{+}resistor39_{+}h_{+}T\left( t \right) \right) \right) \\ rc39_{+}resistor39_{+}v\left( t \right) = rc39_{+}resistor39_{+}RTherm\left( t \right) rc39_{+}resistor39_{+}p_{+}i\left( t \right) \\ rc39_{+}resistor39_{+}h_{+}Q_{flow}\left( t \right) = - rc39_{+}resistor39_{+}p_{+}i\left( t \right) rc39_{+}resistor39_{+}v\left( t \right) \\ rc39_{+}resistor39_{+}v\left( t \right) = - rc39_{+}resistor39_{+}n_{+}v\left( t \right) + rc39_{+}resistor39_{+}p_{+}v\left( t \right) \\ 0 = rc39_{+}resistor39_{+}n_{+}i\left( t \right) + rc39_{+}resistor39_{+}p_{+}i\left( t \right) \\ rc39_{+}capacitor39_{+}v\left( t \right) = - rc39_{+}capacitor39_{+}n_{+}v\left( t \right) + rc39_{+}capacitor39_{+}p_{+}v\left( t \right) \\ 0 = rc39_{+}capacitor39_{+}n_{+}i\left( t \right) + rc39_{+}capacitor39_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc39_{+}capacitor39_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc39_{+}capacitor39_{+}p_{+}i\left( t \right)}{rc39_{+}capacitor39_{+}C} \\ rc39_{+}source_{+}V = - rc39_{+}source_{+}n_{+}v\left( t \right) + rc39_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc39_{+}source_{+}n_{+}i\left( t \right) + rc39_{+}source_{+}p_{+}i\left( t \right) \\ rc39_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc39_{+}heat_{capacitor39_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc39_{+}heat_{capacitor39_{+}h_{+}Q\_flow}\left( t \right)}{rc39_{+}heat_{capacitor39_{+}V} rc39_{+}heat_{capacitor39_{+}cp} rc39_{+}heat_{capacitor39_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor40_{+}p \right) \\ \mathrm{connect}\left( resistor40_{+}n, capacitor40_{+}p \right) \\ \mathrm{connect}\left( capacitor40_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor40_{+}h, heat_{capacitor40_{+}h} \right) \\ rc40_{+}resistor40_{+}RTherm\left( t \right) = rc40_{+}resistor40_{+}R \left( 1 + rc40_{+}resistor40_{+}alpha \left( - rc40_{+}resistor40_{+}TAmbient + rc40_{+}resistor40_{+}h_{+}T\left( t \right) \right) \right) \\ rc40_{+}resistor40_{+}v\left( t \right) = rc40_{+}resistor40_{+}RTherm\left( t \right) rc40_{+}resistor40_{+}p_{+}i\left( t \right) \\ rc40_{+}resistor40_{+}h_{+}Q_{flow}\left( t \right) = - rc40_{+}resistor40_{+}p_{+}i\left( t \right) rc40_{+}resistor40_{+}v\left( t \right) \\ rc40_{+}resistor40_{+}v\left( t \right) = - rc40_{+}resistor40_{+}n_{+}v\left( t \right) + rc40_{+}resistor40_{+}p_{+}v\left( t \right) \\ 0 = rc40_{+}resistor40_{+}n_{+}i\left( t \right) + rc40_{+}resistor40_{+}p_{+}i\left( t \right) \\ rc40_{+}capacitor40_{+}v\left( t \right) = - rc40_{+}capacitor40_{+}n_{+}v\left( t \right) + rc40_{+}capacitor40_{+}p_{+}v\left( t \right) \\ 0 = rc40_{+}capacitor40_{+}n_{+}i\left( t \right) + rc40_{+}capacitor40_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc40_{+}capacitor40_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc40_{+}capacitor40_{+}p_{+}i\left( t \right)}{rc40_{+}capacitor40_{+}C} \\ rc40_{+}source_{+}V = - rc40_{+}source_{+}n_{+}v\left( t \right) + rc40_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc40_{+}source_{+}n_{+}i\left( t \right) + rc40_{+}source_{+}p_{+}i\left( t \right) \\ rc40_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc40_{+}heat_{capacitor40_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc40_{+}heat_{capacitor40_{+}h_{+}Q\_flow}\left( t \right)}{rc40_{+}heat_{capacitor40_{+}V} rc40_{+}heat_{capacitor40_{+}cp} rc40_{+}heat_{capacitor40_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor41_{+}p \right) \\ \mathrm{connect}\left( resistor41_{+}n, capacitor41_{+}p \right) \\ \mathrm{connect}\left( capacitor41_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor41_{+}h, heat_{capacitor41_{+}h} \right) \\ rc41_{+}resistor41_{+}RTherm\left( t \right) = rc41_{+}resistor41_{+}R \left( 1 + rc41_{+}resistor41_{+}alpha \left( - rc41_{+}resistor41_{+}TAmbient + rc41_{+}resistor41_{+}h_{+}T\left( t \right) \right) \right) \\ rc41_{+}resistor41_{+}v\left( t \right) = rc41_{+}resistor41_{+}RTherm\left( t \right) rc41_{+}resistor41_{+}p_{+}i\left( t \right) \\ rc41_{+}resistor41_{+}h_{+}Q_{flow}\left( t \right) = - rc41_{+}resistor41_{+}p_{+}i\left( t \right) rc41_{+}resistor41_{+}v\left( t \right) \\ rc41_{+}resistor41_{+}v\left( t \right) = - rc41_{+}resistor41_{+}n_{+}v\left( t \right) + rc41_{+}resistor41_{+}p_{+}v\left( t \right) \\ 0 = rc41_{+}resistor41_{+}n_{+}i\left( t \right) + rc41_{+}resistor41_{+}p_{+}i\left( t \right) \\ rc41_{+}capacitor41_{+}v\left( t \right) = - rc41_{+}capacitor41_{+}n_{+}v\left( t \right) + rc41_{+}capacitor41_{+}p_{+}v\left( t \right) \\ 0 = rc41_{+}capacitor41_{+}n_{+}i\left( t \right) + rc41_{+}capacitor41_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc41_{+}capacitor41_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc41_{+}capacitor41_{+}p_{+}i\left( t \right)}{rc41_{+}capacitor41_{+}C} \\ rc41_{+}source_{+}V = - rc41_{+}source_{+}n_{+}v\left( t \right) + rc41_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc41_{+}source_{+}n_{+}i\left( t \right) + rc41_{+}source_{+}p_{+}i\left( t \right) \\ rc41_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc41_{+}heat_{capacitor41_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc41_{+}heat_{capacitor41_{+}h_{+}Q\_flow}\left( t \right)}{rc41_{+}heat_{capacitor41_{+}V} rc41_{+}heat_{capacitor41_{+}cp} rc41_{+}heat_{capacitor41_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor42_{+}p \right) \\ \mathrm{connect}\left( resistor42_{+}n, capacitor42_{+}p \right) \\ \mathrm{connect}\left( capacitor42_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor42_{+}h, heat_{capacitor42_{+}h} \right) \\ rc42_{+}resistor42_{+}RTherm\left( t \right) = rc42_{+}resistor42_{+}R \left( 1 + rc42_{+}resistor42_{+}alpha \left( - rc42_{+}resistor42_{+}TAmbient + rc42_{+}resistor42_{+}h_{+}T\left( t \right) \right) \right) \\ rc42_{+}resistor42_{+}v\left( t \right) = rc42_{+}resistor42_{+}RTherm\left( t \right) rc42_{+}resistor42_{+}p_{+}i\left( t \right) \\ rc42_{+}resistor42_{+}h_{+}Q_{flow}\left( t \right) = - rc42_{+}resistor42_{+}p_{+}i\left( t \right) rc42_{+}resistor42_{+}v\left( t \right) \\ rc42_{+}resistor42_{+}v\left( t \right) = - rc42_{+}resistor42_{+}n_{+}v\left( t \right) + rc42_{+}resistor42_{+}p_{+}v\left( t \right) \\ 0 = rc42_{+}resistor42_{+}n_{+}i\left( t \right) + rc42_{+}resistor42_{+}p_{+}i\left( t \right) \\ rc42_{+}capacitor42_{+}v\left( t \right) = - rc42_{+}capacitor42_{+}n_{+}v\left( t \right) + rc42_{+}capacitor42_{+}p_{+}v\left( t \right) \\ 0 = rc42_{+}capacitor42_{+}n_{+}i\left( t \right) + rc42_{+}capacitor42_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc42_{+}capacitor42_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc42_{+}capacitor42_{+}p_{+}i\left( t \right)}{rc42_{+}capacitor42_{+}C} \\ rc42_{+}source_{+}V = - rc42_{+}source_{+}n_{+}v\left( t \right) + rc42_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc42_{+}source_{+}n_{+}i\left( t \right) + rc42_{+}source_{+}p_{+}i\left( t \right) \\ rc42_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc42_{+}heat_{capacitor42_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc42_{+}heat_{capacitor42_{+}h_{+}Q\_flow}\left( t \right)}{rc42_{+}heat_{capacitor42_{+}V} rc42_{+}heat_{capacitor42_{+}cp} rc42_{+}heat_{capacitor42_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor43_{+}p \right) \\ \mathrm{connect}\left( resistor43_{+}n, capacitor43_{+}p \right) \\ \mathrm{connect}\left( capacitor43_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor43_{+}h, heat_{capacitor43_{+}h} \right) \\ rc43_{+}resistor43_{+}RTherm\left( t \right) = rc43_{+}resistor43_{+}R \left( 1 + rc43_{+}resistor43_{+}alpha \left( - rc43_{+}resistor43_{+}TAmbient + rc43_{+}resistor43_{+}h_{+}T\left( t \right) \right) \right) \\ rc43_{+}resistor43_{+}v\left( t \right) = rc43_{+}resistor43_{+}RTherm\left( t \right) rc43_{+}resistor43_{+}p_{+}i\left( t \right) \\ rc43_{+}resistor43_{+}h_{+}Q_{flow}\left( t \right) = - rc43_{+}resistor43_{+}p_{+}i\left( t \right) rc43_{+}resistor43_{+}v\left( t \right) \\ rc43_{+}resistor43_{+}v\left( t \right) = - rc43_{+}resistor43_{+}n_{+}v\left( t \right) + rc43_{+}resistor43_{+}p_{+}v\left( t \right) \\ 0 = rc43_{+}resistor43_{+}n_{+}i\left( t \right) + rc43_{+}resistor43_{+}p_{+}i\left( t \right) \\ rc43_{+}capacitor43_{+}v\left( t \right) = - rc43_{+}capacitor43_{+}n_{+}v\left( t \right) + rc43_{+}capacitor43_{+}p_{+}v\left( t \right) \\ 0 = rc43_{+}capacitor43_{+}n_{+}i\left( t \right) + rc43_{+}capacitor43_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc43_{+}capacitor43_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc43_{+}capacitor43_{+}p_{+}i\left( t \right)}{rc43_{+}capacitor43_{+}C} \\ rc43_{+}source_{+}V = - rc43_{+}source_{+}n_{+}v\left( t \right) + rc43_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc43_{+}source_{+}n_{+}i\left( t \right) + rc43_{+}source_{+}p_{+}i\left( t \right) \\ rc43_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc43_{+}heat_{capacitor43_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc43_{+}heat_{capacitor43_{+}h_{+}Q\_flow}\left( t \right)}{rc43_{+}heat_{capacitor43_{+}V} rc43_{+}heat_{capacitor43_{+}cp} rc43_{+}heat_{capacitor43_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor44_{+}p \right) \\ \mathrm{connect}\left( resistor44_{+}n, capacitor44_{+}p \right) \\ \mathrm{connect}\left( capacitor44_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor44_{+}h, heat_{capacitor44_{+}h} \right) \\ rc44_{+}resistor44_{+}RTherm\left( t \right) = rc44_{+}resistor44_{+}R \left( 1 + rc44_{+}resistor44_{+}alpha \left( - rc44_{+}resistor44_{+}TAmbient + rc44_{+}resistor44_{+}h_{+}T\left( t \right) \right) \right) \\ rc44_{+}resistor44_{+}v\left( t \right) = rc44_{+}resistor44_{+}RTherm\left( t \right) rc44_{+}resistor44_{+}p_{+}i\left( t \right) \\ rc44_{+}resistor44_{+}h_{+}Q_{flow}\left( t \right) = - rc44_{+}resistor44_{+}p_{+}i\left( t \right) rc44_{+}resistor44_{+}v\left( t \right) \\ rc44_{+}resistor44_{+}v\left( t \right) = - rc44_{+}resistor44_{+}n_{+}v\left( t \right) + rc44_{+}resistor44_{+}p_{+}v\left( t \right) \\ 0 = rc44_{+}resistor44_{+}n_{+}i\left( t \right) + rc44_{+}resistor44_{+}p_{+}i\left( t \right) \\ rc44_{+}capacitor44_{+}v\left( t \right) = - rc44_{+}capacitor44_{+}n_{+}v\left( t \right) + rc44_{+}capacitor44_{+}p_{+}v\left( t \right) \\ 0 = rc44_{+}capacitor44_{+}n_{+}i\left( t \right) + rc44_{+}capacitor44_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc44_{+}capacitor44_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc44_{+}capacitor44_{+}p_{+}i\left( t \right)}{rc44_{+}capacitor44_{+}C} \\ rc44_{+}source_{+}V = - rc44_{+}source_{+}n_{+}v\left( t \right) + rc44_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc44_{+}source_{+}n_{+}i\left( t \right) + rc44_{+}source_{+}p_{+}i\left( t \right) \\ rc44_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc44_{+}heat_{capacitor44_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc44_{+}heat_{capacitor44_{+}h_{+}Q\_flow}\left( t \right)}{rc44_{+}heat_{capacitor44_{+}V} rc44_{+}heat_{capacitor44_{+}cp} rc44_{+}heat_{capacitor44_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor45_{+}p \right) \\ \mathrm{connect}\left( resistor45_{+}n, capacitor45_{+}p \right) \\ \mathrm{connect}\left( capacitor45_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor45_{+}h, heat_{capacitor45_{+}h} \right) \\ rc45_{+}resistor45_{+}RTherm\left( t \right) = rc45_{+}resistor45_{+}R \left( 1 + rc45_{+}resistor45_{+}alpha \left( - rc45_{+}resistor45_{+}TAmbient + rc45_{+}resistor45_{+}h_{+}T\left( t \right) \right) \right) \\ rc45_{+}resistor45_{+}v\left( t \right) = rc45_{+}resistor45_{+}RTherm\left( t \right) rc45_{+}resistor45_{+}p_{+}i\left( t \right) \\ rc45_{+}resistor45_{+}h_{+}Q_{flow}\left( t \right) = - rc45_{+}resistor45_{+}p_{+}i\left( t \right) rc45_{+}resistor45_{+}v\left( t \right) \\ rc45_{+}resistor45_{+}v\left( t \right) = - rc45_{+}resistor45_{+}n_{+}v\left( t \right) + rc45_{+}resistor45_{+}p_{+}v\left( t \right) \\ 0 = rc45_{+}resistor45_{+}n_{+}i\left( t \right) + rc45_{+}resistor45_{+}p_{+}i\left( t \right) \\ rc45_{+}capacitor45_{+}v\left( t \right) = - rc45_{+}capacitor45_{+}n_{+}v\left( t \right) + rc45_{+}capacitor45_{+}p_{+}v\left( t \right) \\ 0 = rc45_{+}capacitor45_{+}n_{+}i\left( t \right) + rc45_{+}capacitor45_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc45_{+}capacitor45_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc45_{+}capacitor45_{+}p_{+}i\left( t \right)}{rc45_{+}capacitor45_{+}C} \\ rc45_{+}source_{+}V = - rc45_{+}source_{+}n_{+}v\left( t \right) + rc45_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc45_{+}source_{+}n_{+}i\left( t \right) + rc45_{+}source_{+}p_{+}i\left( t \right) \\ rc45_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc45_{+}heat_{capacitor45_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc45_{+}heat_{capacitor45_{+}h_{+}Q\_flow}\left( t \right)}{rc45_{+}heat_{capacitor45_{+}V} rc45_{+}heat_{capacitor45_{+}cp} rc45_{+}heat_{capacitor45_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor46_{+}p \right) \\ \mathrm{connect}\left( resistor46_{+}n, capacitor46_{+}p \right) \\ \mathrm{connect}\left( capacitor46_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor46_{+}h, heat_{capacitor46_{+}h} \right) \\ rc46_{+}resistor46_{+}RTherm\left( t \right) = rc46_{+}resistor46_{+}R \left( 1 + rc46_{+}resistor46_{+}alpha \left( - rc46_{+}resistor46_{+}TAmbient + rc46_{+}resistor46_{+}h_{+}T\left( t \right) \right) \right) \\ rc46_{+}resistor46_{+}v\left( t \right) = rc46_{+}resistor46_{+}RTherm\left( t \right) rc46_{+}resistor46_{+}p_{+}i\left( t \right) \\ rc46_{+}resistor46_{+}h_{+}Q_{flow}\left( t \right) = - rc46_{+}resistor46_{+}p_{+}i\left( t \right) rc46_{+}resistor46_{+}v\left( t \right) \\ rc46_{+}resistor46_{+}v\left( t \right) = - rc46_{+}resistor46_{+}n_{+}v\left( t \right) + rc46_{+}resistor46_{+}p_{+}v\left( t \right) \\ 0 = rc46_{+}resistor46_{+}n_{+}i\left( t \right) + rc46_{+}resistor46_{+}p_{+}i\left( t \right) \\ rc46_{+}capacitor46_{+}v\left( t \right) = - rc46_{+}capacitor46_{+}n_{+}v\left( t \right) + rc46_{+}capacitor46_{+}p_{+}v\left( t \right) \\ 0 = rc46_{+}capacitor46_{+}n_{+}i\left( t \right) + rc46_{+}capacitor46_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc46_{+}capacitor46_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc46_{+}capacitor46_{+}p_{+}i\left( t \right)}{rc46_{+}capacitor46_{+}C} \\ rc46_{+}source_{+}V = - rc46_{+}source_{+}n_{+}v\left( t \right) + rc46_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc46_{+}source_{+}n_{+}i\left( t \right) + rc46_{+}source_{+}p_{+}i\left( t \right) \\ rc46_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc46_{+}heat_{capacitor46_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc46_{+}heat_{capacitor46_{+}h_{+}Q\_flow}\left( t \right)}{rc46_{+}heat_{capacitor46_{+}V} rc46_{+}heat_{capacitor46_{+}cp} rc46_{+}heat_{capacitor46_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor47_{+}p \right) \\ \mathrm{connect}\left( resistor47_{+}n, capacitor47_{+}p \right) \\ \mathrm{connect}\left( capacitor47_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor47_{+}h, heat_{capacitor47_{+}h} \right) \\ rc47_{+}resistor47_{+}RTherm\left( t \right) = rc47_{+}resistor47_{+}R \left( 1 + rc47_{+}resistor47_{+}alpha \left( - rc47_{+}resistor47_{+}TAmbient + rc47_{+}resistor47_{+}h_{+}T\left( t \right) \right) \right) \\ rc47_{+}resistor47_{+}v\left( t \right) = rc47_{+}resistor47_{+}RTherm\left( t \right) rc47_{+}resistor47_{+}p_{+}i\left( t \right) \\ rc47_{+}resistor47_{+}h_{+}Q_{flow}\left( t \right) = - rc47_{+}resistor47_{+}p_{+}i\left( t \right) rc47_{+}resistor47_{+}v\left( t \right) \\ rc47_{+}resistor47_{+}v\left( t \right) = - rc47_{+}resistor47_{+}n_{+}v\left( t \right) + rc47_{+}resistor47_{+}p_{+}v\left( t \right) \\ 0 = rc47_{+}resistor47_{+}n_{+}i\left( t \right) + rc47_{+}resistor47_{+}p_{+}i\left( t \right) \\ rc47_{+}capacitor47_{+}v\left( t \right) = - rc47_{+}capacitor47_{+}n_{+}v\left( t \right) + rc47_{+}capacitor47_{+}p_{+}v\left( t \right) \\ 0 = rc47_{+}capacitor47_{+}n_{+}i\left( t \right) + rc47_{+}capacitor47_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc47_{+}capacitor47_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc47_{+}capacitor47_{+}p_{+}i\left( t \right)}{rc47_{+}capacitor47_{+}C} \\ rc47_{+}source_{+}V = - rc47_{+}source_{+}n_{+}v\left( t \right) + rc47_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc47_{+}source_{+}n_{+}i\left( t \right) + rc47_{+}source_{+}p_{+}i\left( t \right) \\ rc47_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc47_{+}heat_{capacitor47_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc47_{+}heat_{capacitor47_{+}h_{+}Q\_flow}\left( t \right)}{rc47_{+}heat_{capacitor47_{+}V} rc47_{+}heat_{capacitor47_{+}cp} rc47_{+}heat_{capacitor47_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor48_{+}p \right) \\ \mathrm{connect}\left( resistor48_{+}n, capacitor48_{+}p \right) \\ \mathrm{connect}\left( capacitor48_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor48_{+}h, heat_{capacitor48_{+}h} \right) \\ rc48_{+}resistor48_{+}RTherm\left( t \right) = rc48_{+}resistor48_{+}R \left( 1 + rc48_{+}resistor48_{+}alpha \left( - rc48_{+}resistor48_{+}TAmbient + rc48_{+}resistor48_{+}h_{+}T\left( t \right) \right) \right) \\ rc48_{+}resistor48_{+}v\left( t \right) = rc48_{+}resistor48_{+}RTherm\left( t \right) rc48_{+}resistor48_{+}p_{+}i\left( t \right) \\ rc48_{+}resistor48_{+}h_{+}Q_{flow}\left( t \right) = - rc48_{+}resistor48_{+}p_{+}i\left( t \right) rc48_{+}resistor48_{+}v\left( t \right) \\ rc48_{+}resistor48_{+}v\left( t \right) = - rc48_{+}resistor48_{+}n_{+}v\left( t \right) + rc48_{+}resistor48_{+}p_{+}v\left( t \right) \\ 0 = rc48_{+}resistor48_{+}n_{+}i\left( t \right) + rc48_{+}resistor48_{+}p_{+}i\left( t \right) \\ rc48_{+}capacitor48_{+}v\left( t \right) = - rc48_{+}capacitor48_{+}n_{+}v\left( t \right) + rc48_{+}capacitor48_{+}p_{+}v\left( t \right) \\ 0 = rc48_{+}capacitor48_{+}n_{+}i\left( t \right) + rc48_{+}capacitor48_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc48_{+}capacitor48_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc48_{+}capacitor48_{+}p_{+}i\left( t \right)}{rc48_{+}capacitor48_{+}C} \\ rc48_{+}source_{+}V = - rc48_{+}source_{+}n_{+}v\left( t \right) + rc48_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc48_{+}source_{+}n_{+}i\left( t \right) + rc48_{+}source_{+}p_{+}i\left( t \right) \\ rc48_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc48_{+}heat_{capacitor48_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc48_{+}heat_{capacitor48_{+}h_{+}Q\_flow}\left( t \right)}{rc48_{+}heat_{capacitor48_{+}V} rc48_{+}heat_{capacitor48_{+}cp} rc48_{+}heat_{capacitor48_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor49_{+}p \right) \\ \mathrm{connect}\left( resistor49_{+}n, capacitor49_{+}p \right) \\ \mathrm{connect}\left( capacitor49_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor49_{+}h, heat_{capacitor49_{+}h} \right) \\ rc49_{+}resistor49_{+}RTherm\left( t \right) = rc49_{+}resistor49_{+}R \left( 1 + rc49_{+}resistor49_{+}alpha \left( - rc49_{+}resistor49_{+}TAmbient + rc49_{+}resistor49_{+}h_{+}T\left( t \right) \right) \right) \\ rc49_{+}resistor49_{+}v\left( t \right) = rc49_{+}resistor49_{+}RTherm\left( t \right) rc49_{+}resistor49_{+}p_{+}i\left( t \right) \\ rc49_{+}resistor49_{+}h_{+}Q_{flow}\left( t \right) = - rc49_{+}resistor49_{+}p_{+}i\left( t \right) rc49_{+}resistor49_{+}v\left( t \right) \\ rc49_{+}resistor49_{+}v\left( t \right) = - rc49_{+}resistor49_{+}n_{+}v\left( t \right) + rc49_{+}resistor49_{+}p_{+}v\left( t \right) \\ 0 = rc49_{+}resistor49_{+}n_{+}i\left( t \right) + rc49_{+}resistor49_{+}p_{+}i\left( t \right) \\ rc49_{+}capacitor49_{+}v\left( t \right) = - rc49_{+}capacitor49_{+}n_{+}v\left( t \right) + rc49_{+}capacitor49_{+}p_{+}v\left( t \right) \\ 0 = rc49_{+}capacitor49_{+}n_{+}i\left( t \right) + rc49_{+}capacitor49_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc49_{+}capacitor49_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc49_{+}capacitor49_{+}p_{+}i\left( t \right)}{rc49_{+}capacitor49_{+}C} \\ rc49_{+}source_{+}V = - rc49_{+}source_{+}n_{+}v\left( t \right) + rc49_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc49_{+}source_{+}n_{+}i\left( t \right) + rc49_{+}source_{+}p_{+}i\left( t \right) \\ rc49_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc49_{+}heat_{capacitor49_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc49_{+}heat_{capacitor49_{+}h_{+}Q\_flow}\left( t \right)}{rc49_{+}heat_{capacitor49_{+}V} rc49_{+}heat_{capacitor49_{+}cp} rc49_{+}heat_{capacitor49_{+}rho}} \\ \mathrm{connect}\left( source_{+}p, resistor50_{+}p \right) \\ \mathrm{connect}\left( resistor50_{+}n, capacitor50_{+}p \right) \\ \mathrm{connect}\left( capacitor50_{+}n, source_{+}n, ground_{+}g \right) \\ \mathrm{connect}\left( resistor50_{+}h, heat_{capacitor50_{+}h} \right) \\ rc50_{+}resistor50_{+}RTherm\left( t \right) = rc50_{+}resistor50_{+}R \left( 1 + rc50_{+}resistor50_{+}alpha \left( - rc50_{+}resistor50_{+}TAmbient + rc50_{+}resistor50_{+}h_{+}T\left( t \right) \right) \right) \\ rc50_{+}resistor50_{+}v\left( t \right) = rc50_{+}resistor50_{+}RTherm\left( t \right) rc50_{+}resistor50_{+}p_{+}i\left( t \right) \\ rc50_{+}resistor50_{+}h_{+}Q_{flow}\left( t \right) = - rc50_{+}resistor50_{+}p_{+}i\left( t \right) rc50_{+}resistor50_{+}v\left( t \right) \\ rc50_{+}resistor50_{+}v\left( t \right) = - rc50_{+}resistor50_{+}n_{+}v\left( t \right) + rc50_{+}resistor50_{+}p_{+}v\left( t \right) \\ 0 = rc50_{+}resistor50_{+}n_{+}i\left( t \right) + rc50_{+}resistor50_{+}p_{+}i\left( t \right) \\ rc50_{+}capacitor50_{+}v\left( t \right) = - rc50_{+}capacitor50_{+}n_{+}v\left( t \right) + rc50_{+}capacitor50_{+}p_{+}v\left( t \right) \\ 0 = rc50_{+}capacitor50_{+}n_{+}i\left( t \right) + rc50_{+}capacitor50_{+}p_{+}i\left( t \right) \\ \frac{\mathrm{d} rc50_{+}capacitor50_{+}v\left( t \right)}{\mathrm{d}t} = \frac{rc50_{+}capacitor50_{+}p_{+}i\left( t \right)}{rc50_{+}capacitor50_{+}C} \\ rc50_{+}source_{+}V = - rc50_{+}source_{+}n_{+}v\left( t \right) + rc50_{+}source_{+}p_{+}v\left( t \right) \\ 0 = rc50_{+}source_{+}n_{+}i\left( t \right) + rc50_{+}source_{+}p_{+}i\left( t \right) \\ rc50_{+}ground_{+}g_{+}v\left( t \right) = 0 \\ \frac{\mathrm{d} rc50_{+}heat_{capacitor50_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} = \frac{rc50_{+}heat_{capacitor50_{+}h_{+}Q\_flow}\left( t \right)}{rc50_{+}heat_{capacitor50_{+}V} rc50_{+}heat_{capacitor50_{+}cp} rc50_{+}heat_{capacitor50_{+}rho}} \\ \end{array} \right] \end{equation} \]

Now let's say we want to expose a bit more parallelism via running tearing. How do we do that?

sys = structural_simplify(big_rc)

\[ \begin{align} \frac{\mathrm{d} E\left( t \right)}{\mathrm{d}t} =& - rc10_{+}heat_{capacitor10_{+}h_{+}Q\_flow}\left( t \right) - rc11_{+}heat_{capacitor11_{+}h_{+}Q\_flow}\left( t \right) - rc12_{+}heat_{capacitor12_{+}h_{+}Q\_flow}\left( t \right) - rc13_{+}heat_{capacitor13_{+}h_{+}Q\_flow}\left( t \right) - rc14_{+}heat_{capacitor14_{+}h_{+}Q\_flow}\left( t \right) - rc15_{+}heat_{capacitor15_{+}h_{+}Q\_flow}\left( t \right) - rc16_{+}heat_{capacitor16_{+}h_{+}Q\_flow}\left( t \right) - rc17_{+}heat_{capacitor17_{+}h_{+}Q\_flow}\left( t \right) - rc18_{+}heat_{capacitor18_{+}h_{+}Q\_flow}\left( t \right) - rc19_{+}heat_{capacitor19_{+}h_{+}Q\_flow}\left( t \right) - rc1_{+}heat_{capacitor1_{+}h_{+}Q\_flow}\left( t \right) - rc20_{+}heat_{capacitor20_{+}h_{+}Q\_flow}\left( t \right) - rc21_{+}heat_{capacitor21_{+}h_{+}Q\_flow}\left( t \right) - rc22_{+}heat_{capacitor22_{+}h_{+}Q\_flow}\left( t \right) - rc23_{+}heat_{capacitor23_{+}h_{+}Q\_flow}\left( t \right) - rc24_{+}heat_{capacitor24_{+}h_{+}Q\_flow}\left( t \right) - rc25_{+}heat_{capacitor25_{+}h_{+}Q\_flow}\left( t \right) - rc26_{+}heat_{capacitor26_{+}h_{+}Q\_flow}\left( t \right) - rc27_{+}heat_{capacitor27_{+}h_{+}Q\_flow}\left( t \right) - rc28_{+}heat_{capacitor28_{+}h_{+}Q\_flow}\left( t \right) - rc29_{+}heat_{capacitor29_{+}h_{+}Q\_flow}\left( t \right) - rc2_{+}heat_{capacitor2_{+}h_{+}Q\_flow}\left( t \right) - rc30_{+}heat_{capacitor30_{+}h_{+}Q\_flow}\left( t \right) - rc31_{+}heat_{capacitor31_{+}h_{+}Q\_flow}\left( t \right) - rc32_{+}heat_{capacitor32_{+}h_{+}Q\_flow}\left( t \right) - rc33_{+}heat_{capacitor33_{+}h_{+}Q\_flow}\left( t \right) - rc34_{+}heat_{capacitor34_{+}h_{+}Q\_flow}\left( t \right) - rc35_{+}heat_{capacitor35_{+}h_{+}Q\_flow}\left( t \right) - rc36_{+}heat_{capacitor36_{+}h_{+}Q\_flow}\left( t \right) - rc37_{+}heat_{capacitor37_{+}h_{+}Q\_flow}\left( t \right) - rc38_{+}heat_{capacitor38_{+}h_{+}Q\_flow}\left( t \right) - rc39_{+}heat_{capacitor39_{+}h_{+}Q\_flow}\left( t \right) - rc3_{+}heat_{capacitor3_{+}h_{+}Q\_flow}\left( t \right) - rc40_{+}heat_{capacitor40_{+}h_{+}Q\_flow}\left( t \right) - rc41_{+}heat_{capacitor41_{+}h_{+}Q\_flow}\left( t \right) - rc42_{+}heat_{capacitor42_{+}h_{+}Q\_flow}\left( t \right) - rc43_{+}heat_{capacitor43_{+}h_{+}Q\_flow}\left( t \right) - rc44_{+}heat_{capacitor44_{+}h_{+}Q\_flow}\left( t \right) - rc45_{+}heat_{capacitor45_{+}h_{+}Q\_flow}\left( t \right) - rc46_{+}heat_{capacitor46_{+}h_{+}Q\_flow}\left( t \right) - rc47_{+}heat_{capacitor47_{+}h_{+}Q\_flow}\left( t \right) - rc48_{+}heat_{capacitor48_{+}h_{+}Q\_flow}\left( t \right) - rc49_{+}heat_{capacitor49_{+}h_{+}Q\_flow}\left( t \right) - rc4_{+}heat_{capacitor4_{+}h_{+}Q\_flow}\left( t \right) - rc50_{+}heat_{capacitor50_{+}h_{+}Q\_flow}\left( t \right) - rc5_{+}heat_{capacitor5_{+}h_{+}Q\_flow}\left( t \right) - rc6_{+}heat_{capacitor6_{+}h_{+}Q\_flow}\left( t \right) - rc7_{+}heat_{capacitor7_{+}h_{+}Q\_flow}\left( t \right) - rc8_{+}heat_{capacitor8_{+}h_{+}Q\_flow}\left( t \right) - rc9_{+}heat_{capacitor9_{+}h_{+}Q\_flow}\left( t \right) \\ \frac{\mathrm{d} rc1_{+}capacitor1_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc1_{+}capacitor1_{+}p_{+}i\left( t \right)}{rc1_{+}capacitor1_{+}C} \\ \frac{\mathrm{d} rc1_{+}heat_{capacitor1_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc1_{+}heat_{capacitor1_{+}h_{+}Q\_flow}\left( t \right)}{rc1_{+}heat_{capacitor1_{+}V} rc1_{+}heat_{capacitor1_{+}cp} rc1_{+}heat_{capacitor1_{+}rho}} \\ \frac{\mathrm{d} rc2_{+}capacitor2_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc2_{+}capacitor2_{+}p_{+}i\left( t \right)}{rc2_{+}capacitor2_{+}C} \\ \frac{\mathrm{d} rc2_{+}heat_{capacitor2_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc2_{+}heat_{capacitor2_{+}h_{+}Q\_flow}\left( t \right)}{rc2_{+}heat_{capacitor2_{+}V} rc2_{+}heat_{capacitor2_{+}cp} rc2_{+}heat_{capacitor2_{+}rho}} \\ \frac{\mathrm{d} rc3_{+}capacitor3_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc3_{+}capacitor3_{+}p_{+}i\left( t \right)}{rc3_{+}capacitor3_{+}C} \\ \frac{\mathrm{d} rc3_{+}heat_{capacitor3_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc3_{+}heat_{capacitor3_{+}h_{+}Q\_flow}\left( t \right)}{rc3_{+}heat_{capacitor3_{+}V} rc3_{+}heat_{capacitor3_{+}cp} rc3_{+}heat_{capacitor3_{+}rho}} \\ \frac{\mathrm{d} rc4_{+}capacitor4_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc4_{+}capacitor4_{+}p_{+}i\left( t \right)}{rc4_{+}capacitor4_{+}C} \\ \frac{\mathrm{d} rc4_{+}heat_{capacitor4_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc4_{+}heat_{capacitor4_{+}h_{+}Q\_flow}\left( t \right)}{rc4_{+}heat_{capacitor4_{+}V} rc4_{+}heat_{capacitor4_{+}cp} rc4_{+}heat_{capacitor4_{+}rho}} \\ \frac{\mathrm{d} rc5_{+}capacitor5_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc5_{+}capacitor5_{+}p_{+}i\left( t \right)}{rc5_{+}capacitor5_{+}C} \\ \frac{\mathrm{d} rc5_{+}heat_{capacitor5_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc5_{+}heat_{capacitor5_{+}h_{+}Q\_flow}\left( t \right)}{rc5_{+}heat_{capacitor5_{+}V} rc5_{+}heat_{capacitor5_{+}cp} rc5_{+}heat_{capacitor5_{+}rho}} \\ \frac{\mathrm{d} rc6_{+}capacitor6_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc6_{+}capacitor6_{+}p_{+}i\left( t \right)}{rc6_{+}capacitor6_{+}C} \\ \frac{\mathrm{d} rc6_{+}heat_{capacitor6_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc6_{+}heat_{capacitor6_{+}h_{+}Q\_flow}\left( t \right)}{rc6_{+}heat_{capacitor6_{+}V} rc6_{+}heat_{capacitor6_{+}cp} rc6_{+}heat_{capacitor6_{+}rho}} \\ \frac{\mathrm{d} rc7_{+}capacitor7_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc7_{+}capacitor7_{+}p_{+}i\left( t \right)}{rc7_{+}capacitor7_{+}C} \\ \frac{\mathrm{d} rc7_{+}heat_{capacitor7_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc7_{+}heat_{capacitor7_{+}h_{+}Q\_flow}\left( t \right)}{rc7_{+}heat_{capacitor7_{+}V} rc7_{+}heat_{capacitor7_{+}cp} rc7_{+}heat_{capacitor7_{+}rho}} \\ \frac{\mathrm{d} rc8_{+}capacitor8_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc8_{+}capacitor8_{+}p_{+}i\left( t \right)}{rc8_{+}capacitor8_{+}C} \\ \frac{\mathrm{d} rc8_{+}heat_{capacitor8_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc8_{+}heat_{capacitor8_{+}h_{+}Q\_flow}\left( t \right)}{rc8_{+}heat_{capacitor8_{+}V} rc8_{+}heat_{capacitor8_{+}cp} rc8_{+}heat_{capacitor8_{+}rho}} \\ \frac{\mathrm{d} rc9_{+}capacitor9_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc9_{+}capacitor9_{+}p_{+}i\left( t \right)}{rc9_{+}capacitor9_{+}C} \\ \frac{\mathrm{d} rc9_{+}heat_{capacitor9_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc9_{+}heat_{capacitor9_{+}h_{+}Q\_flow}\left( t \right)}{rc9_{+}heat_{capacitor9_{+}V} rc9_{+}heat_{capacitor9_{+}cp} rc9_{+}heat_{capacitor9_{+}rho}} \\ \frac{\mathrm{d} rc10_{+}capacitor10_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc10_{+}capacitor10_{+}p_{+}i\left( t \right)}{rc10_{+}capacitor10_{+}C} \\ \frac{\mathrm{d} rc10_{+}heat_{capacitor10_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc10_{+}heat_{capacitor10_{+}h_{+}Q\_flow}\left( t \right)}{rc10_{+}heat_{capacitor10_{+}V} rc10_{+}heat_{capacitor10_{+}cp} rc10_{+}heat_{capacitor10_{+}rho}} \\ \frac{\mathrm{d} rc11_{+}capacitor11_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc11_{+}capacitor11_{+}p_{+}i\left( t \right)}{rc11_{+}capacitor11_{+}C} \\ \frac{\mathrm{d} rc11_{+}heat_{capacitor11_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc11_{+}heat_{capacitor11_{+}h_{+}Q\_flow}\left( t \right)}{rc11_{+}heat_{capacitor11_{+}V} rc11_{+}heat_{capacitor11_{+}cp} rc11_{+}heat_{capacitor11_{+}rho}} \\ \frac{\mathrm{d} rc12_{+}capacitor12_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc12_{+}capacitor12_{+}p_{+}i\left( t \right)}{rc12_{+}capacitor12_{+}C} \\ \frac{\mathrm{d} rc12_{+}heat_{capacitor12_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc12_{+}heat_{capacitor12_{+}h_{+}Q\_flow}\left( t \right)}{rc12_{+}heat_{capacitor12_{+}V} rc12_{+}heat_{capacitor12_{+}cp} rc12_{+}heat_{capacitor12_{+}rho}} \\ \frac{\mathrm{d} rc13_{+}capacitor13_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc13_{+}capacitor13_{+}p_{+}i\left( t \right)}{rc13_{+}capacitor13_{+}C} \\ \frac{\mathrm{d} rc13_{+}heat_{capacitor13_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc13_{+}heat_{capacitor13_{+}h_{+}Q\_flow}\left( t \right)}{rc13_{+}heat_{capacitor13_{+}V} rc13_{+}heat_{capacitor13_{+}cp} rc13_{+}heat_{capacitor13_{+}rho}} \\ \frac{\mathrm{d} rc14_{+}capacitor14_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc14_{+}capacitor14_{+}p_{+}i\left( t \right)}{rc14_{+}capacitor14_{+}C} \\ \frac{\mathrm{d} rc14_{+}heat_{capacitor14_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc14_{+}heat_{capacitor14_{+}h_{+}Q\_flow}\left( t \right)}{rc14_{+}heat_{capacitor14_{+}V} rc14_{+}heat_{capacitor14_{+}cp} rc14_{+}heat_{capacitor14_{+}rho}} \\ \frac{\mathrm{d} rc15_{+}capacitor15_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc15_{+}capacitor15_{+}p_{+}i\left( t \right)}{rc15_{+}capacitor15_{+}C} \\ \frac{\mathrm{d} rc15_{+}heat_{capacitor15_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc15_{+}heat_{capacitor15_{+}h_{+}Q\_flow}\left( t \right)}{rc15_{+}heat_{capacitor15_{+}V} rc15_{+}heat_{capacitor15_{+}cp} rc15_{+}heat_{capacitor15_{+}rho}} \\ \frac{\mathrm{d} rc16_{+}capacitor16_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc16_{+}capacitor16_{+}p_{+}i\left( t \right)}{rc16_{+}capacitor16_{+}C} \\ \frac{\mathrm{d} rc16_{+}heat_{capacitor16_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc16_{+}heat_{capacitor16_{+}h_{+}Q\_flow}\left( t \right)}{rc16_{+}heat_{capacitor16_{+}V} rc16_{+}heat_{capacitor16_{+}cp} rc16_{+}heat_{capacitor16_{+}rho}} \\ \frac{\mathrm{d} rc17_{+}capacitor17_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc17_{+}capacitor17_{+}p_{+}i\left( t \right)}{rc17_{+}capacitor17_{+}C} \\ \frac{\mathrm{d} rc17_{+}heat_{capacitor17_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc17_{+}heat_{capacitor17_{+}h_{+}Q\_flow}\left( t \right)}{rc17_{+}heat_{capacitor17_{+}V} rc17_{+}heat_{capacitor17_{+}cp} rc17_{+}heat_{capacitor17_{+}rho}} \\ \frac{\mathrm{d} rc18_{+}capacitor18_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc18_{+}capacitor18_{+}p_{+}i\left( t \right)}{rc18_{+}capacitor18_{+}C} \\ \frac{\mathrm{d} rc18_{+}heat_{capacitor18_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc18_{+}heat_{capacitor18_{+}h_{+}Q\_flow}\left( t \right)}{rc18_{+}heat_{capacitor18_{+}V} rc18_{+}heat_{capacitor18_{+}cp} rc18_{+}heat_{capacitor18_{+}rho}} \\ \frac{\mathrm{d} rc19_{+}capacitor19_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc19_{+}capacitor19_{+}p_{+}i\left( t \right)}{rc19_{+}capacitor19_{+}C} \\ \frac{\mathrm{d} rc19_{+}heat_{capacitor19_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc19_{+}heat_{capacitor19_{+}h_{+}Q\_flow}\left( t \right)}{rc19_{+}heat_{capacitor19_{+}V} rc19_{+}heat_{capacitor19_{+}cp} rc19_{+}heat_{capacitor19_{+}rho}} \\ \frac{\mathrm{d} rc20_{+}capacitor20_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc20_{+}capacitor20_{+}p_{+}i\left( t \right)}{rc20_{+}capacitor20_{+}C} \\ \frac{\mathrm{d} rc20_{+}heat_{capacitor20_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc20_{+}heat_{capacitor20_{+}h_{+}Q\_flow}\left( t \right)}{rc20_{+}heat_{capacitor20_{+}V} rc20_{+}heat_{capacitor20_{+}cp} rc20_{+}heat_{capacitor20_{+}rho}} \\ \frac{\mathrm{d} rc21_{+}capacitor21_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc21_{+}capacitor21_{+}p_{+}i\left( t \right)}{rc21_{+}capacitor21_{+}C} \\ \frac{\mathrm{d} rc21_{+}heat_{capacitor21_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc21_{+}heat_{capacitor21_{+}h_{+}Q\_flow}\left( t \right)}{rc21_{+}heat_{capacitor21_{+}V} rc21_{+}heat_{capacitor21_{+}cp} rc21_{+}heat_{capacitor21_{+}rho}} \\ \frac{\mathrm{d} rc22_{+}capacitor22_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc22_{+}capacitor22_{+}p_{+}i\left( t \right)}{rc22_{+}capacitor22_{+}C} \\ \frac{\mathrm{d} rc22_{+}heat_{capacitor22_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc22_{+}heat_{capacitor22_{+}h_{+}Q\_flow}\left( t \right)}{rc22_{+}heat_{capacitor22_{+}V} rc22_{+}heat_{capacitor22_{+}cp} rc22_{+}heat_{capacitor22_{+}rho}} \\ \frac{\mathrm{d} rc23_{+}capacitor23_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc23_{+}capacitor23_{+}p_{+}i\left( t \right)}{rc23_{+}capacitor23_{+}C} \\ \frac{\mathrm{d} rc23_{+}heat_{capacitor23_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc23_{+}heat_{capacitor23_{+}h_{+}Q\_flow}\left( t \right)}{rc23_{+}heat_{capacitor23_{+}V} rc23_{+}heat_{capacitor23_{+}cp} rc23_{+}heat_{capacitor23_{+}rho}} \\ \frac{\mathrm{d} rc24_{+}capacitor24_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc24_{+}capacitor24_{+}p_{+}i\left( t \right)}{rc24_{+}capacitor24_{+}C} \\ \frac{\mathrm{d} rc24_{+}heat_{capacitor24_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc24_{+}heat_{capacitor24_{+}h_{+}Q\_flow}\left( t \right)}{rc24_{+}heat_{capacitor24_{+}V} rc24_{+}heat_{capacitor24_{+}cp} rc24_{+}heat_{capacitor24_{+}rho}} \\ \frac{\mathrm{d} rc25_{+}capacitor25_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc25_{+}capacitor25_{+}p_{+}i\left( t \right)}{rc25_{+}capacitor25_{+}C} \\ \frac{\mathrm{d} rc25_{+}heat_{capacitor25_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc25_{+}heat_{capacitor25_{+}h_{+}Q\_flow}\left( t \right)}{rc25_{+}heat_{capacitor25_{+}V} rc25_{+}heat_{capacitor25_{+}cp} rc25_{+}heat_{capacitor25_{+}rho}} \\ \frac{\mathrm{d} rc26_{+}capacitor26_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc26_{+}capacitor26_{+}p_{+}i\left( t \right)}{rc26_{+}capacitor26_{+}C} \\ \frac{\mathrm{d} rc26_{+}heat_{capacitor26_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc26_{+}heat_{capacitor26_{+}h_{+}Q\_flow}\left( t \right)}{rc26_{+}heat_{capacitor26_{+}V} rc26_{+}heat_{capacitor26_{+}cp} rc26_{+}heat_{capacitor26_{+}rho}} \\ \frac{\mathrm{d} rc27_{+}capacitor27_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc27_{+}capacitor27_{+}p_{+}i\left( t \right)}{rc27_{+}capacitor27_{+}C} \\ \frac{\mathrm{d} rc27_{+}heat_{capacitor27_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc27_{+}heat_{capacitor27_{+}h_{+}Q\_flow}\left( t \right)}{rc27_{+}heat_{capacitor27_{+}V} rc27_{+}heat_{capacitor27_{+}cp} rc27_{+}heat_{capacitor27_{+}rho}} \\ \frac{\mathrm{d} rc28_{+}capacitor28_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc28_{+}capacitor28_{+}p_{+}i\left( t \right)}{rc28_{+}capacitor28_{+}C} \\ \frac{\mathrm{d} rc28_{+}heat_{capacitor28_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc28_{+}heat_{capacitor28_{+}h_{+}Q\_flow}\left( t \right)}{rc28_{+}heat_{capacitor28_{+}V} rc28_{+}heat_{capacitor28_{+}cp} rc28_{+}heat_{capacitor28_{+}rho}} \\ \frac{\mathrm{d} rc29_{+}capacitor29_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc29_{+}capacitor29_{+}p_{+}i\left( t \right)}{rc29_{+}capacitor29_{+}C} \\ \frac{\mathrm{d} rc29_{+}heat_{capacitor29_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc29_{+}heat_{capacitor29_{+}h_{+}Q\_flow}\left( t \right)}{rc29_{+}heat_{capacitor29_{+}V} rc29_{+}heat_{capacitor29_{+}cp} rc29_{+}heat_{capacitor29_{+}rho}} \\ \frac{\mathrm{d} rc30_{+}capacitor30_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc30_{+}capacitor30_{+}p_{+}i\left( t \right)}{rc30_{+}capacitor30_{+}C} \\ \frac{\mathrm{d} rc30_{+}heat_{capacitor30_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc30_{+}heat_{capacitor30_{+}h_{+}Q\_flow}\left( t \right)}{rc30_{+}heat_{capacitor30_{+}V} rc30_{+}heat_{capacitor30_{+}cp} rc30_{+}heat_{capacitor30_{+}rho}} \\ \frac{\mathrm{d} rc31_{+}capacitor31_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc31_{+}capacitor31_{+}p_{+}i\left( t \right)}{rc31_{+}capacitor31_{+}C} \\ \frac{\mathrm{d} rc31_{+}heat_{capacitor31_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc31_{+}heat_{capacitor31_{+}h_{+}Q\_flow}\left( t \right)}{rc31_{+}heat_{capacitor31_{+}V} rc31_{+}heat_{capacitor31_{+}cp} rc31_{+}heat_{capacitor31_{+}rho}} \\ \frac{\mathrm{d} rc32_{+}capacitor32_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc32_{+}capacitor32_{+}p_{+}i\left( t \right)}{rc32_{+}capacitor32_{+}C} \\ \frac{\mathrm{d} rc32_{+}heat_{capacitor32_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc32_{+}heat_{capacitor32_{+}h_{+}Q\_flow}\left( t \right)}{rc32_{+}heat_{capacitor32_{+}V} rc32_{+}heat_{capacitor32_{+}cp} rc32_{+}heat_{capacitor32_{+}rho}} \\ \frac{\mathrm{d} rc33_{+}capacitor33_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc33_{+}capacitor33_{+}p_{+}i\left( t \right)}{rc33_{+}capacitor33_{+}C} \\ \frac{\mathrm{d} rc33_{+}heat_{capacitor33_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc33_{+}heat_{capacitor33_{+}h_{+}Q\_flow}\left( t \right)}{rc33_{+}heat_{capacitor33_{+}V} rc33_{+}heat_{capacitor33_{+}cp} rc33_{+}heat_{capacitor33_{+}rho}} \\ \frac{\mathrm{d} rc34_{+}capacitor34_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc34_{+}capacitor34_{+}p_{+}i\left( t \right)}{rc34_{+}capacitor34_{+}C} \\ \frac{\mathrm{d} rc34_{+}heat_{capacitor34_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc34_{+}heat_{capacitor34_{+}h_{+}Q\_flow}\left( t \right)}{rc34_{+}heat_{capacitor34_{+}V} rc34_{+}heat_{capacitor34_{+}cp} rc34_{+}heat_{capacitor34_{+}rho}} \\ \frac{\mathrm{d} rc35_{+}capacitor35_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc35_{+}capacitor35_{+}p_{+}i\left( t \right)}{rc35_{+}capacitor35_{+}C} \\ \frac{\mathrm{d} rc35_{+}heat_{capacitor35_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc35_{+}heat_{capacitor35_{+}h_{+}Q\_flow}\left( t \right)}{rc35_{+}heat_{capacitor35_{+}V} rc35_{+}heat_{capacitor35_{+}cp} rc35_{+}heat_{capacitor35_{+}rho}} \\ \frac{\mathrm{d} rc36_{+}capacitor36_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc36_{+}capacitor36_{+}p_{+}i\left( t \right)}{rc36_{+}capacitor36_{+}C} \\ \frac{\mathrm{d} rc36_{+}heat_{capacitor36_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc36_{+}heat_{capacitor36_{+}h_{+}Q\_flow}\left( t \right)}{rc36_{+}heat_{capacitor36_{+}V} rc36_{+}heat_{capacitor36_{+}cp} rc36_{+}heat_{capacitor36_{+}rho}} \\ \frac{\mathrm{d} rc37_{+}capacitor37_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc37_{+}capacitor37_{+}p_{+}i\left( t \right)}{rc37_{+}capacitor37_{+}C} \\ \frac{\mathrm{d} rc37_{+}heat_{capacitor37_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc37_{+}heat_{capacitor37_{+}h_{+}Q\_flow}\left( t \right)}{rc37_{+}heat_{capacitor37_{+}V} rc37_{+}heat_{capacitor37_{+}cp} rc37_{+}heat_{capacitor37_{+}rho}} \\ \frac{\mathrm{d} rc38_{+}capacitor38_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc38_{+}capacitor38_{+}p_{+}i\left( t \right)}{rc38_{+}capacitor38_{+}C} \\ \frac{\mathrm{d} rc38_{+}heat_{capacitor38_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc38_{+}heat_{capacitor38_{+}h_{+}Q\_flow}\left( t \right)}{rc38_{+}heat_{capacitor38_{+}V} rc38_{+}heat_{capacitor38_{+}cp} rc38_{+}heat_{capacitor38_{+}rho}} \\ \frac{\mathrm{d} rc39_{+}capacitor39_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc39_{+}capacitor39_{+}p_{+}i\left( t \right)}{rc39_{+}capacitor39_{+}C} \\ \frac{\mathrm{d} rc39_{+}heat_{capacitor39_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc39_{+}heat_{capacitor39_{+}h_{+}Q\_flow}\left( t \right)}{rc39_{+}heat_{capacitor39_{+}V} rc39_{+}heat_{capacitor39_{+}cp} rc39_{+}heat_{capacitor39_{+}rho}} \\ \frac{\mathrm{d} rc40_{+}capacitor40_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc40_{+}capacitor40_{+}p_{+}i\left( t \right)}{rc40_{+}capacitor40_{+}C} \\ \frac{\mathrm{d} rc40_{+}heat_{capacitor40_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc40_{+}heat_{capacitor40_{+}h_{+}Q\_flow}\left( t \right)}{rc40_{+}heat_{capacitor40_{+}V} rc40_{+}heat_{capacitor40_{+}cp} rc40_{+}heat_{capacitor40_{+}rho}} \\ \frac{\mathrm{d} rc41_{+}capacitor41_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc41_{+}capacitor41_{+}p_{+}i\left( t \right)}{rc41_{+}capacitor41_{+}C} \\ \frac{\mathrm{d} rc41_{+}heat_{capacitor41_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc41_{+}heat_{capacitor41_{+}h_{+}Q\_flow}\left( t \right)}{rc41_{+}heat_{capacitor41_{+}V} rc41_{+}heat_{capacitor41_{+}cp} rc41_{+}heat_{capacitor41_{+}rho}} \\ \frac{\mathrm{d} rc42_{+}capacitor42_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc42_{+}capacitor42_{+}p_{+}i\left( t \right)}{rc42_{+}capacitor42_{+}C} \\ \frac{\mathrm{d} rc42_{+}heat_{capacitor42_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc42_{+}heat_{capacitor42_{+}h_{+}Q\_flow}\left( t \right)}{rc42_{+}heat_{capacitor42_{+}V} rc42_{+}heat_{capacitor42_{+}cp} rc42_{+}heat_{capacitor42_{+}rho}} \\ \frac{\mathrm{d} rc43_{+}capacitor43_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc43_{+}capacitor43_{+}p_{+}i\left( t \right)}{rc43_{+}capacitor43_{+}C} \\ \frac{\mathrm{d} rc43_{+}heat_{capacitor43_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc43_{+}heat_{capacitor43_{+}h_{+}Q\_flow}\left( t \right)}{rc43_{+}heat_{capacitor43_{+}V} rc43_{+}heat_{capacitor43_{+}cp} rc43_{+}heat_{capacitor43_{+}rho}} \\ \frac{\mathrm{d} rc44_{+}capacitor44_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc44_{+}capacitor44_{+}p_{+}i\left( t \right)}{rc44_{+}capacitor44_{+}C} \\ \frac{\mathrm{d} rc44_{+}heat_{capacitor44_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc44_{+}heat_{capacitor44_{+}h_{+}Q\_flow}\left( t \right)}{rc44_{+}heat_{capacitor44_{+}V} rc44_{+}heat_{capacitor44_{+}cp} rc44_{+}heat_{capacitor44_{+}rho}} \\ \frac{\mathrm{d} rc45_{+}capacitor45_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc45_{+}capacitor45_{+}p_{+}i\left( t \right)}{rc45_{+}capacitor45_{+}C} \\ \frac{\mathrm{d} rc45_{+}heat_{capacitor45_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc45_{+}heat_{capacitor45_{+}h_{+}Q\_flow}\left( t \right)}{rc45_{+}heat_{capacitor45_{+}V} rc45_{+}heat_{capacitor45_{+}cp} rc45_{+}heat_{capacitor45_{+}rho}} \\ \frac{\mathrm{d} rc46_{+}capacitor46_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc46_{+}capacitor46_{+}p_{+}i\left( t \right)}{rc46_{+}capacitor46_{+}C} \\ \frac{\mathrm{d} rc46_{+}heat_{capacitor46_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc46_{+}heat_{capacitor46_{+}h_{+}Q\_flow}\left( t \right)}{rc46_{+}heat_{capacitor46_{+}V} rc46_{+}heat_{capacitor46_{+}cp} rc46_{+}heat_{capacitor46_{+}rho}} \\ \frac{\mathrm{d} rc47_{+}capacitor47_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc47_{+}capacitor47_{+}p_{+}i\left( t \right)}{rc47_{+}capacitor47_{+}C} \\ \frac{\mathrm{d} rc47_{+}heat_{capacitor47_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc47_{+}heat_{capacitor47_{+}h_{+}Q\_flow}\left( t \right)}{rc47_{+}heat_{capacitor47_{+}V} rc47_{+}heat_{capacitor47_{+}cp} rc47_{+}heat_{capacitor47_{+}rho}} \\ \frac{\mathrm{d} rc48_{+}capacitor48_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc48_{+}capacitor48_{+}p_{+}i\left( t \right)}{rc48_{+}capacitor48_{+}C} \\ \frac{\mathrm{d} rc48_{+}heat_{capacitor48_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc48_{+}heat_{capacitor48_{+}h_{+}Q\_flow}\left( t \right)}{rc48_{+}heat_{capacitor48_{+}V} rc48_{+}heat_{capacitor48_{+}cp} rc48_{+}heat_{capacitor48_{+}rho}} \\ \frac{\mathrm{d} rc49_{+}capacitor49_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc49_{+}capacitor49_{+}p_{+}i\left( t \right)}{rc49_{+}capacitor49_{+}C} \\ \frac{\mathrm{d} rc49_{+}heat_{capacitor49_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc49_{+}heat_{capacitor49_{+}h_{+}Q\_flow}\left( t \right)}{rc49_{+}heat_{capacitor49_{+}V} rc49_{+}heat_{capacitor49_{+}cp} rc49_{+}heat_{capacitor49_{+}rho}} \\ \frac{\mathrm{d} rc50_{+}capacitor50_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc50_{+}capacitor50_{+}p_{+}i\left( t \right)}{rc50_{+}capacitor50_{+}C} \\ \frac{\mathrm{d} rc50_{+}heat_{capacitor50_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc50_{+}heat_{capacitor50_{+}h_{+}Q\_flow}\left( t \right)}{rc50_{+}heat_{capacitor50_{+}V} rc50_{+}heat_{capacitor50_{+}cp} rc50_{+}heat_{capacitor50_{+}rho}} \\ 0 =& - rc1_{+}resistor1_{+}v\left( t \right) + rc1_{+}capacitor1_{+}p_{+}i\left( t \right) rc1_{+}resistor1_{+}RTherm\left( t \right) \\ 0 =& - rc2_{+}resistor2_{+}v\left( t \right) + rc2_{+}capacitor2_{+}p_{+}i\left( t \right) rc2_{+}resistor2_{+}RTherm\left( t \right) \\ 0 =& rc3_{+}capacitor3_{+}p_{+}i\left( t \right) rc3_{+}resistor3_{+}RTherm\left( t \right) - rc3_{+}resistor3_{+}v\left( t \right) \\ 0 =& rc4_{+}capacitor4_{+}p_{+}i\left( t \right) rc4_{+}resistor4_{+}RTherm\left( t \right) - rc4_{+}resistor4_{+}v\left( t \right) \\ 0 =& rc5_{+}capacitor5_{+}p_{+}i\left( t \right) rc5_{+}resistor5_{+}RTherm\left( t \right) - rc5_{+}resistor5_{+}v\left( t \right) \\ 0 =& rc6_{+}capacitor6_{+}p_{+}i\left( t \right) rc6_{+}resistor6_{+}RTherm\left( t \right) - rc6_{+}resistor6_{+}v\left( t \right) \\ 0 =& - rc7_{+}resistor7_{+}v\left( t \right) + rc7_{+}capacitor7_{+}p_{+}i\left( t \right) rc7_{+}resistor7_{+}RTherm\left( t \right) \\ 0 =& - rc8_{+}resistor8_{+}v\left( t \right) + rc8_{+}capacitor8_{+}p_{+}i\left( t \right) rc8_{+}resistor8_{+}RTherm\left( t \right) \\ 0 =& rc9_{+}capacitor9_{+}p_{+}i\left( t \right) rc9_{+}resistor9_{+}RTherm\left( t \right) - rc9_{+}resistor9_{+}v\left( t \right) \\ 0 =& - rc10_{+}resistor10_{+}v\left( t \right) + rc10_{+}capacitor10_{+}p_{+}i\left( t \right) rc10_{+}resistor10_{+}RTherm\left( t \right) \\ 0 =& - rc11_{+}resistor11_{+}v\left( t \right) + rc11_{+}capacitor11_{+}p_{+}i\left( t \right) rc11_{+}resistor11_{+}RTherm\left( t \right) \\ 0 =& - rc12_{+}resistor12_{+}v\left( t \right) + rc12_{+}capacitor12_{+}p_{+}i\left( t \right) rc12_{+}resistor12_{+}RTherm\left( t \right) \\ 0 =& - rc13_{+}resistor13_{+}v\left( t \right) + rc13_{+}capacitor13_{+}p_{+}i\left( t \right) rc13_{+}resistor13_{+}RTherm\left( t \right) \\ 0 =& - rc14_{+}resistor14_{+}v\left( t \right) + rc14_{+}capacitor14_{+}p_{+}i\left( t \right) rc14_{+}resistor14_{+}RTherm\left( t \right) \\ 0 =& - rc15_{+}resistor15_{+}v\left( t \right) + rc15_{+}capacitor15_{+}p_{+}i\left( t \right) rc15_{+}resistor15_{+}RTherm\left( t \right) \\ 0 =& rc16_{+}capacitor16_{+}p_{+}i\left( t \right) rc16_{+}resistor16_{+}RTherm\left( t \right) - rc16_{+}resistor16_{+}v\left( t \right) \\ 0 =& - rc17_{+}resistor17_{+}v\left( t \right) + rc17_{+}capacitor17_{+}p_{+}i\left( t \right) rc17_{+}resistor17_{+}RTherm\left( t \right) \\ 0 =& - rc18_{+}resistor18_{+}v\left( t \right) + rc18_{+}capacitor18_{+}p_{+}i\left( t \right) rc18_{+}resistor18_{+}RTherm\left( t \right) \\ 0 =& - rc19_{+}resistor19_{+}v\left( t \right) + rc19_{+}capacitor19_{+}p_{+}i\left( t \right) rc19_{+}resistor19_{+}RTherm\left( t \right) \\ 0 =& rc20_{+}capacitor20_{+}p_{+}i\left( t \right) rc20_{+}resistor20_{+}RTherm\left( t \right) - rc20_{+}resistor20_{+}v\left( t \right) \\ 0 =& - rc21_{+}resistor21_{+}v\left( t \right) + rc21_{+}capacitor21_{+}p_{+}i\left( t \right) rc21_{+}resistor21_{+}RTherm\left( t \right) \\ 0 =& rc22_{+}capacitor22_{+}p_{+}i\left( t \right) rc22_{+}resistor22_{+}RTherm\left( t \right) - rc22_{+}resistor22_{+}v\left( t \right) \\ 0 =& rc23_{+}capacitor23_{+}p_{+}i\left( t \right) rc23_{+}resistor23_{+}RTherm\left( t \right) - rc23_{+}resistor23_{+}v\left( t \right) \\ 0 =& - rc24_{+}resistor24_{+}v\left( t \right) + rc24_{+}capacitor24_{+}p_{+}i\left( t \right) rc24_{+}resistor24_{+}RTherm\left( t \right) \\ 0 =& rc25_{+}capacitor25_{+}p_{+}i\left( t \right) rc25_{+}resistor25_{+}RTherm\left( t \right) - rc25_{+}resistor25_{+}v\left( t \right) \\ 0 =& - rc26_{+}resistor26_{+}v\left( t \right) + rc26_{+}capacitor26_{+}p_{+}i\left( t \right) rc26_{+}resistor26_{+}RTherm\left( t \right) \\ 0 =& rc27_{+}capacitor27_{+}p_{+}i\left( t \right) rc27_{+}resistor27_{+}RTherm\left( t \right) - rc27_{+}resistor27_{+}v\left( t \right) \\ 0 =& rc28_{+}capacitor28_{+}p_{+}i\left( t \right) rc28_{+}resistor28_{+}RTherm\left( t \right) - rc28_{+}resistor28_{+}v\left( t \right) \\ 0 =& rc29_{+}capacitor29_{+}p_{+}i\left( t \right) rc29_{+}resistor29_{+}RTherm\left( t \right) - rc29_{+}resistor29_{+}v\left( t \right) \\ 0 =& - rc30_{+}resistor30_{+}v\left( t \right) + rc30_{+}capacitor30_{+}p_{+}i\left( t \right) rc30_{+}resistor30_{+}RTherm\left( t \right) \\ 0 =& - rc31_{+}resistor31_{+}v\left( t \right) + rc31_{+}capacitor31_{+}p_{+}i\left( t \right) rc31_{+}resistor31_{+}RTherm\left( t \right) \\ 0 =& - rc32_{+}resistor32_{+}v\left( t \right) + rc32_{+}capacitor32_{+}p_{+}i\left( t \right) rc32_{+}resistor32_{+}RTherm\left( t \right) \\ 0 =& - rc33_{+}resistor33_{+}v\left( t \right) + rc33_{+}capacitor33_{+}p_{+}i\left( t \right) rc33_{+}resistor33_{+}RTherm\left( t \right) \\ 0 =& - rc34_{+}resistor34_{+}v\left( t \right) + rc34_{+}capacitor34_{+}p_{+}i\left( t \right) rc34_{+}resistor34_{+}RTherm\left( t \right) \\ 0 =& - rc35_{+}resistor35_{+}v\left( t \right) + rc35_{+}capacitor35_{+}p_{+}i\left( t \right) rc35_{+}resistor35_{+}RTherm\left( t \right) \\ 0 =& - rc36_{+}resistor36_{+}v\left( t \right) + rc36_{+}capacitor36_{+}p_{+}i\left( t \right) rc36_{+}resistor36_{+}RTherm\left( t \right) \\ 0 =& rc37_{+}capacitor37_{+}p_{+}i\left( t \right) rc37_{+}resistor37_{+}RTherm\left( t \right) - rc37_{+}resistor37_{+}v\left( t \right) \\ 0 =& rc38_{+}capacitor38_{+}p_{+}i\left( t \right) rc38_{+}resistor38_{+}RTherm\left( t \right) - rc38_{+}resistor38_{+}v\left( t \right) \\ 0 =& rc39_{+}capacitor39_{+}p_{+}i\left( t \right) rc39_{+}resistor39_{+}RTherm\left( t \right) - rc39_{+}resistor39_{+}v\left( t \right) \\ 0 =& rc40_{+}capacitor40_{+}p_{+}i\left( t \right) rc40_{+}resistor40_{+}RTherm\left( t \right) - rc40_{+}resistor40_{+}v\left( t \right) \\ 0 =& - rc41_{+}resistor41_{+}v\left( t \right) + rc41_{+}capacitor41_{+}p_{+}i\left( t \right) rc41_{+}resistor41_{+}RTherm\left( t \right) \\ 0 =& rc42_{+}capacitor42_{+}p_{+}i\left( t \right) rc42_{+}resistor42_{+}RTherm\left( t \right) - rc42_{+}resistor42_{+}v\left( t \right) \\ 0 =& - rc43_{+}resistor43_{+}v\left( t \right) + rc43_{+}capacitor43_{+}p_{+}i\left( t \right) rc43_{+}resistor43_{+}RTherm\left( t \right) \\ 0 =& rc44_{+}capacitor44_{+}p_{+}i\left( t \right) rc44_{+}resistor44_{+}RTherm\left( t \right) - rc44_{+}resistor44_{+}v\left( t \right) \\ 0 =& rc45_{+}capacitor45_{+}p_{+}i\left( t \right) rc45_{+}resistor45_{+}RTherm\left( t \right) - rc45_{+}resistor45_{+}v\left( t \right) \\ 0 =& - rc46_{+}resistor46_{+}v\left( t \right) + rc46_{+}capacitor46_{+}p_{+}i\left( t \right) rc46_{+}resistor46_{+}RTherm\left( t \right) \\ 0 =& - rc47_{+}resistor47_{+}v\left( t \right) + rc47_{+}capacitor47_{+}p_{+}i\left( t \right) rc47_{+}resistor47_{+}RTherm\left( t \right) \\ 0 =& rc48_{+}capacitor48_{+}p_{+}i\left( t \right) rc48_{+}resistor48_{+}RTherm\left( t \right) - rc48_{+}resistor48_{+}v\left( t \right) \\ 0 =& rc49_{+}capacitor49_{+}p_{+}i\left( t \right) rc49_{+}resistor49_{+}RTherm\left( t \right) - rc49_{+}resistor49_{+}v\left( t \right) \\ 0 =& - rc50_{+}resistor50_{+}v\left( t \right) + rc50_{+}capacitor50_{+}p_{+}i\left( t \right) rc50_{+}resistor50_{+}RTherm\left( t \right) \end{align} \]

Done, that's it. There's no more to it.

What Happened?

Yes, that's a good question! Let's investigate a little bit more what had happened. If you look at the system we defined:

length(equations(big_rc))
801

You see it started as a massive 1051 set of equations. However, after eliminating redundancies we arrive at 151 equations:

equations(sys)

\[ \begin{align} \frac{\mathrm{d} E\left( t \right)}{\mathrm{d}t} =& - rc10_{+}heat_{capacitor10_{+}h_{+}Q\_flow}\left( t \right) - rc11_{+}heat_{capacitor11_{+}h_{+}Q\_flow}\left( t \right) - rc12_{+}heat_{capacitor12_{+}h_{+}Q\_flow}\left( t \right) - rc13_{+}heat_{capacitor13_{+}h_{+}Q\_flow}\left( t \right) - rc14_{+}heat_{capacitor14_{+}h_{+}Q\_flow}\left( t \right) - rc15_{+}heat_{capacitor15_{+}h_{+}Q\_flow}\left( t \right) - rc16_{+}heat_{capacitor16_{+}h_{+}Q\_flow}\left( t \right) - rc17_{+}heat_{capacitor17_{+}h_{+}Q\_flow}\left( t \right) - rc18_{+}heat_{capacitor18_{+}h_{+}Q\_flow}\left( t \right) - rc19_{+}heat_{capacitor19_{+}h_{+}Q\_flow}\left( t \right) - rc1_{+}heat_{capacitor1_{+}h_{+}Q\_flow}\left( t \right) - rc20_{+}heat_{capacitor20_{+}h_{+}Q\_flow}\left( t \right) - rc21_{+}heat_{capacitor21_{+}h_{+}Q\_flow}\left( t \right) - rc22_{+}heat_{capacitor22_{+}h_{+}Q\_flow}\left( t \right) - rc23_{+}heat_{capacitor23_{+}h_{+}Q\_flow}\left( t \right) - rc24_{+}heat_{capacitor24_{+}h_{+}Q\_flow}\left( t \right) - rc25_{+}heat_{capacitor25_{+}h_{+}Q\_flow}\left( t \right) - rc26_{+}heat_{capacitor26_{+}h_{+}Q\_flow}\left( t \right) - rc27_{+}heat_{capacitor27_{+}h_{+}Q\_flow}\left( t \right) - rc28_{+}heat_{capacitor28_{+}h_{+}Q\_flow}\left( t \right) - rc29_{+}heat_{capacitor29_{+}h_{+}Q\_flow}\left( t \right) - rc2_{+}heat_{capacitor2_{+}h_{+}Q\_flow}\left( t \right) - rc30_{+}heat_{capacitor30_{+}h_{+}Q\_flow}\left( t \right) - rc31_{+}heat_{capacitor31_{+}h_{+}Q\_flow}\left( t \right) - rc32_{+}heat_{capacitor32_{+}h_{+}Q\_flow}\left( t \right) - rc33_{+}heat_{capacitor33_{+}h_{+}Q\_flow}\left( t \right) - rc34_{+}heat_{capacitor34_{+}h_{+}Q\_flow}\left( t \right) - rc35_{+}heat_{capacitor35_{+}h_{+}Q\_flow}\left( t \right) - rc36_{+}heat_{capacitor36_{+}h_{+}Q\_flow}\left( t \right) - rc37_{+}heat_{capacitor37_{+}h_{+}Q\_flow}\left( t \right) - rc38_{+}heat_{capacitor38_{+}h_{+}Q\_flow}\left( t \right) - rc39_{+}heat_{capacitor39_{+}h_{+}Q\_flow}\left( t \right) - rc3_{+}heat_{capacitor3_{+}h_{+}Q\_flow}\left( t \right) - rc40_{+}heat_{capacitor40_{+}h_{+}Q\_flow}\left( t \right) - rc41_{+}heat_{capacitor41_{+}h_{+}Q\_flow}\left( t \right) - rc42_{+}heat_{capacitor42_{+}h_{+}Q\_flow}\left( t \right) - rc43_{+}heat_{capacitor43_{+}h_{+}Q\_flow}\left( t \right) - rc44_{+}heat_{capacitor44_{+}h_{+}Q\_flow}\left( t \right) - rc45_{+}heat_{capacitor45_{+}h_{+}Q\_flow}\left( t \right) - rc46_{+}heat_{capacitor46_{+}h_{+}Q\_flow}\left( t \right) - rc47_{+}heat_{capacitor47_{+}h_{+}Q\_flow}\left( t \right) - rc48_{+}heat_{capacitor48_{+}h_{+}Q\_flow}\left( t \right) - rc49_{+}heat_{capacitor49_{+}h_{+}Q\_flow}\left( t \right) - rc4_{+}heat_{capacitor4_{+}h_{+}Q\_flow}\left( t \right) - rc50_{+}heat_{capacitor50_{+}h_{+}Q\_flow}\left( t \right) - rc5_{+}heat_{capacitor5_{+}h_{+}Q\_flow}\left( t \right) - rc6_{+}heat_{capacitor6_{+}h_{+}Q\_flow}\left( t \right) - rc7_{+}heat_{capacitor7_{+}h_{+}Q\_flow}\left( t \right) - rc8_{+}heat_{capacitor8_{+}h_{+}Q\_flow}\left( t \right) - rc9_{+}heat_{capacitor9_{+}h_{+}Q\_flow}\left( t \right) \\ \frac{\mathrm{d} rc1_{+}capacitor1_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc1_{+}capacitor1_{+}p_{+}i\left( t \right)}{rc1_{+}capacitor1_{+}C} \\ \frac{\mathrm{d} rc1_{+}heat_{capacitor1_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc1_{+}heat_{capacitor1_{+}h_{+}Q\_flow}\left( t \right)}{rc1_{+}heat_{capacitor1_{+}V} rc1_{+}heat_{capacitor1_{+}cp} rc1_{+}heat_{capacitor1_{+}rho}} \\ \frac{\mathrm{d} rc2_{+}capacitor2_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc2_{+}capacitor2_{+}p_{+}i\left( t \right)}{rc2_{+}capacitor2_{+}C} \\ \frac{\mathrm{d} rc2_{+}heat_{capacitor2_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc2_{+}heat_{capacitor2_{+}h_{+}Q\_flow}\left( t \right)}{rc2_{+}heat_{capacitor2_{+}V} rc2_{+}heat_{capacitor2_{+}cp} rc2_{+}heat_{capacitor2_{+}rho}} \\ \frac{\mathrm{d} rc3_{+}capacitor3_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc3_{+}capacitor3_{+}p_{+}i\left( t \right)}{rc3_{+}capacitor3_{+}C} \\ \frac{\mathrm{d} rc3_{+}heat_{capacitor3_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc3_{+}heat_{capacitor3_{+}h_{+}Q\_flow}\left( t \right)}{rc3_{+}heat_{capacitor3_{+}V} rc3_{+}heat_{capacitor3_{+}cp} rc3_{+}heat_{capacitor3_{+}rho}} \\ \frac{\mathrm{d} rc4_{+}capacitor4_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc4_{+}capacitor4_{+}p_{+}i\left( t \right)}{rc4_{+}capacitor4_{+}C} \\ \frac{\mathrm{d} rc4_{+}heat_{capacitor4_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc4_{+}heat_{capacitor4_{+}h_{+}Q\_flow}\left( t \right)}{rc4_{+}heat_{capacitor4_{+}V} rc4_{+}heat_{capacitor4_{+}cp} rc4_{+}heat_{capacitor4_{+}rho}} \\ \frac{\mathrm{d} rc5_{+}capacitor5_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc5_{+}capacitor5_{+}p_{+}i\left( t \right)}{rc5_{+}capacitor5_{+}C} \\ \frac{\mathrm{d} rc5_{+}heat_{capacitor5_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc5_{+}heat_{capacitor5_{+}h_{+}Q\_flow}\left( t \right)}{rc5_{+}heat_{capacitor5_{+}V} rc5_{+}heat_{capacitor5_{+}cp} rc5_{+}heat_{capacitor5_{+}rho}} \\ \frac{\mathrm{d} rc6_{+}capacitor6_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc6_{+}capacitor6_{+}p_{+}i\left( t \right)}{rc6_{+}capacitor6_{+}C} \\ \frac{\mathrm{d} rc6_{+}heat_{capacitor6_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc6_{+}heat_{capacitor6_{+}h_{+}Q\_flow}\left( t \right)}{rc6_{+}heat_{capacitor6_{+}V} rc6_{+}heat_{capacitor6_{+}cp} rc6_{+}heat_{capacitor6_{+}rho}} \\ \frac{\mathrm{d} rc7_{+}capacitor7_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc7_{+}capacitor7_{+}p_{+}i\left( t \right)}{rc7_{+}capacitor7_{+}C} \\ \frac{\mathrm{d} rc7_{+}heat_{capacitor7_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc7_{+}heat_{capacitor7_{+}h_{+}Q\_flow}\left( t \right)}{rc7_{+}heat_{capacitor7_{+}V} rc7_{+}heat_{capacitor7_{+}cp} rc7_{+}heat_{capacitor7_{+}rho}} \\ \frac{\mathrm{d} rc8_{+}capacitor8_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc8_{+}capacitor8_{+}p_{+}i\left( t \right)}{rc8_{+}capacitor8_{+}C} \\ \frac{\mathrm{d} rc8_{+}heat_{capacitor8_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc8_{+}heat_{capacitor8_{+}h_{+}Q\_flow}\left( t \right)}{rc8_{+}heat_{capacitor8_{+}V} rc8_{+}heat_{capacitor8_{+}cp} rc8_{+}heat_{capacitor8_{+}rho}} \\ \frac{\mathrm{d} rc9_{+}capacitor9_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc9_{+}capacitor9_{+}p_{+}i\left( t \right)}{rc9_{+}capacitor9_{+}C} \\ \frac{\mathrm{d} rc9_{+}heat_{capacitor9_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc9_{+}heat_{capacitor9_{+}h_{+}Q\_flow}\left( t \right)}{rc9_{+}heat_{capacitor9_{+}V} rc9_{+}heat_{capacitor9_{+}cp} rc9_{+}heat_{capacitor9_{+}rho}} \\ \frac{\mathrm{d} rc10_{+}capacitor10_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc10_{+}capacitor10_{+}p_{+}i\left( t \right)}{rc10_{+}capacitor10_{+}C} \\ \frac{\mathrm{d} rc10_{+}heat_{capacitor10_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc10_{+}heat_{capacitor10_{+}h_{+}Q\_flow}\left( t \right)}{rc10_{+}heat_{capacitor10_{+}V} rc10_{+}heat_{capacitor10_{+}cp} rc10_{+}heat_{capacitor10_{+}rho}} \\ \frac{\mathrm{d} rc11_{+}capacitor11_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc11_{+}capacitor11_{+}p_{+}i\left( t \right)}{rc11_{+}capacitor11_{+}C} \\ \frac{\mathrm{d} rc11_{+}heat_{capacitor11_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc11_{+}heat_{capacitor11_{+}h_{+}Q\_flow}\left( t \right)}{rc11_{+}heat_{capacitor11_{+}V} rc11_{+}heat_{capacitor11_{+}cp} rc11_{+}heat_{capacitor11_{+}rho}} \\ \frac{\mathrm{d} rc12_{+}capacitor12_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc12_{+}capacitor12_{+}p_{+}i\left( t \right)}{rc12_{+}capacitor12_{+}C} \\ \frac{\mathrm{d} rc12_{+}heat_{capacitor12_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc12_{+}heat_{capacitor12_{+}h_{+}Q\_flow}\left( t \right)}{rc12_{+}heat_{capacitor12_{+}V} rc12_{+}heat_{capacitor12_{+}cp} rc12_{+}heat_{capacitor12_{+}rho}} \\ \frac{\mathrm{d} rc13_{+}capacitor13_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc13_{+}capacitor13_{+}p_{+}i\left( t \right)}{rc13_{+}capacitor13_{+}C} \\ \frac{\mathrm{d} rc13_{+}heat_{capacitor13_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc13_{+}heat_{capacitor13_{+}h_{+}Q\_flow}\left( t \right)}{rc13_{+}heat_{capacitor13_{+}V} rc13_{+}heat_{capacitor13_{+}cp} rc13_{+}heat_{capacitor13_{+}rho}} \\ \frac{\mathrm{d} rc14_{+}capacitor14_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc14_{+}capacitor14_{+}p_{+}i\left( t \right)}{rc14_{+}capacitor14_{+}C} \\ \frac{\mathrm{d} rc14_{+}heat_{capacitor14_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc14_{+}heat_{capacitor14_{+}h_{+}Q\_flow}\left( t \right)}{rc14_{+}heat_{capacitor14_{+}V} rc14_{+}heat_{capacitor14_{+}cp} rc14_{+}heat_{capacitor14_{+}rho}} \\ \frac{\mathrm{d} rc15_{+}capacitor15_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc15_{+}capacitor15_{+}p_{+}i\left( t \right)}{rc15_{+}capacitor15_{+}C} \\ \frac{\mathrm{d} rc15_{+}heat_{capacitor15_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc15_{+}heat_{capacitor15_{+}h_{+}Q\_flow}\left( t \right)}{rc15_{+}heat_{capacitor15_{+}V} rc15_{+}heat_{capacitor15_{+}cp} rc15_{+}heat_{capacitor15_{+}rho}} \\ \frac{\mathrm{d} rc16_{+}capacitor16_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc16_{+}capacitor16_{+}p_{+}i\left( t \right)}{rc16_{+}capacitor16_{+}C} \\ \frac{\mathrm{d} rc16_{+}heat_{capacitor16_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc16_{+}heat_{capacitor16_{+}h_{+}Q\_flow}\left( t \right)}{rc16_{+}heat_{capacitor16_{+}V} rc16_{+}heat_{capacitor16_{+}cp} rc16_{+}heat_{capacitor16_{+}rho}} \\ \frac{\mathrm{d} rc17_{+}capacitor17_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc17_{+}capacitor17_{+}p_{+}i\left( t \right)}{rc17_{+}capacitor17_{+}C} \\ \frac{\mathrm{d} rc17_{+}heat_{capacitor17_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc17_{+}heat_{capacitor17_{+}h_{+}Q\_flow}\left( t \right)}{rc17_{+}heat_{capacitor17_{+}V} rc17_{+}heat_{capacitor17_{+}cp} rc17_{+}heat_{capacitor17_{+}rho}} \\ \frac{\mathrm{d} rc18_{+}capacitor18_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc18_{+}capacitor18_{+}p_{+}i\left( t \right)}{rc18_{+}capacitor18_{+}C} \\ \frac{\mathrm{d} rc18_{+}heat_{capacitor18_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc18_{+}heat_{capacitor18_{+}h_{+}Q\_flow}\left( t \right)}{rc18_{+}heat_{capacitor18_{+}V} rc18_{+}heat_{capacitor18_{+}cp} rc18_{+}heat_{capacitor18_{+}rho}} \\ \frac{\mathrm{d} rc19_{+}capacitor19_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc19_{+}capacitor19_{+}p_{+}i\left( t \right)}{rc19_{+}capacitor19_{+}C} \\ \frac{\mathrm{d} rc19_{+}heat_{capacitor19_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc19_{+}heat_{capacitor19_{+}h_{+}Q\_flow}\left( t \right)}{rc19_{+}heat_{capacitor19_{+}V} rc19_{+}heat_{capacitor19_{+}cp} rc19_{+}heat_{capacitor19_{+}rho}} \\ \frac{\mathrm{d} rc20_{+}capacitor20_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc20_{+}capacitor20_{+}p_{+}i\left( t \right)}{rc20_{+}capacitor20_{+}C} \\ \frac{\mathrm{d} rc20_{+}heat_{capacitor20_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc20_{+}heat_{capacitor20_{+}h_{+}Q\_flow}\left( t \right)}{rc20_{+}heat_{capacitor20_{+}V} rc20_{+}heat_{capacitor20_{+}cp} rc20_{+}heat_{capacitor20_{+}rho}} \\ \frac{\mathrm{d} rc21_{+}capacitor21_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc21_{+}capacitor21_{+}p_{+}i\left( t \right)}{rc21_{+}capacitor21_{+}C} \\ \frac{\mathrm{d} rc21_{+}heat_{capacitor21_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc21_{+}heat_{capacitor21_{+}h_{+}Q\_flow}\left( t \right)}{rc21_{+}heat_{capacitor21_{+}V} rc21_{+}heat_{capacitor21_{+}cp} rc21_{+}heat_{capacitor21_{+}rho}} \\ \frac{\mathrm{d} rc22_{+}capacitor22_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc22_{+}capacitor22_{+}p_{+}i\left( t \right)}{rc22_{+}capacitor22_{+}C} \\ \frac{\mathrm{d} rc22_{+}heat_{capacitor22_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc22_{+}heat_{capacitor22_{+}h_{+}Q\_flow}\left( t \right)}{rc22_{+}heat_{capacitor22_{+}V} rc22_{+}heat_{capacitor22_{+}cp} rc22_{+}heat_{capacitor22_{+}rho}} \\ \frac{\mathrm{d} rc23_{+}capacitor23_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc23_{+}capacitor23_{+}p_{+}i\left( t \right)}{rc23_{+}capacitor23_{+}C} \\ \frac{\mathrm{d} rc23_{+}heat_{capacitor23_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc23_{+}heat_{capacitor23_{+}h_{+}Q\_flow}\left( t \right)}{rc23_{+}heat_{capacitor23_{+}V} rc23_{+}heat_{capacitor23_{+}cp} rc23_{+}heat_{capacitor23_{+}rho}} \\ \frac{\mathrm{d} rc24_{+}capacitor24_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc24_{+}capacitor24_{+}p_{+}i\left( t \right)}{rc24_{+}capacitor24_{+}C} \\ \frac{\mathrm{d} rc24_{+}heat_{capacitor24_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc24_{+}heat_{capacitor24_{+}h_{+}Q\_flow}\left( t \right)}{rc24_{+}heat_{capacitor24_{+}V} rc24_{+}heat_{capacitor24_{+}cp} rc24_{+}heat_{capacitor24_{+}rho}} \\ \frac{\mathrm{d} rc25_{+}capacitor25_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc25_{+}capacitor25_{+}p_{+}i\left( t \right)}{rc25_{+}capacitor25_{+}C} \\ \frac{\mathrm{d} rc25_{+}heat_{capacitor25_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc25_{+}heat_{capacitor25_{+}h_{+}Q\_flow}\left( t \right)}{rc25_{+}heat_{capacitor25_{+}V} rc25_{+}heat_{capacitor25_{+}cp} rc25_{+}heat_{capacitor25_{+}rho}} \\ \frac{\mathrm{d} rc26_{+}capacitor26_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc26_{+}capacitor26_{+}p_{+}i\left( t \right)}{rc26_{+}capacitor26_{+}C} \\ \frac{\mathrm{d} rc26_{+}heat_{capacitor26_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc26_{+}heat_{capacitor26_{+}h_{+}Q\_flow}\left( t \right)}{rc26_{+}heat_{capacitor26_{+}V} rc26_{+}heat_{capacitor26_{+}cp} rc26_{+}heat_{capacitor26_{+}rho}} \\ \frac{\mathrm{d} rc27_{+}capacitor27_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc27_{+}capacitor27_{+}p_{+}i\left( t \right)}{rc27_{+}capacitor27_{+}C} \\ \frac{\mathrm{d} rc27_{+}heat_{capacitor27_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc27_{+}heat_{capacitor27_{+}h_{+}Q\_flow}\left( t \right)}{rc27_{+}heat_{capacitor27_{+}V} rc27_{+}heat_{capacitor27_{+}cp} rc27_{+}heat_{capacitor27_{+}rho}} \\ \frac{\mathrm{d} rc28_{+}capacitor28_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc28_{+}capacitor28_{+}p_{+}i\left( t \right)}{rc28_{+}capacitor28_{+}C} \\ \frac{\mathrm{d} rc28_{+}heat_{capacitor28_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc28_{+}heat_{capacitor28_{+}h_{+}Q\_flow}\left( t \right)}{rc28_{+}heat_{capacitor28_{+}V} rc28_{+}heat_{capacitor28_{+}cp} rc28_{+}heat_{capacitor28_{+}rho}} \\ \frac{\mathrm{d} rc29_{+}capacitor29_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc29_{+}capacitor29_{+}p_{+}i\left( t \right)}{rc29_{+}capacitor29_{+}C} \\ \frac{\mathrm{d} rc29_{+}heat_{capacitor29_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc29_{+}heat_{capacitor29_{+}h_{+}Q\_flow}\left( t \right)}{rc29_{+}heat_{capacitor29_{+}V} rc29_{+}heat_{capacitor29_{+}cp} rc29_{+}heat_{capacitor29_{+}rho}} \\ \frac{\mathrm{d} rc30_{+}capacitor30_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc30_{+}capacitor30_{+}p_{+}i\left( t \right)}{rc30_{+}capacitor30_{+}C} \\ \frac{\mathrm{d} rc30_{+}heat_{capacitor30_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc30_{+}heat_{capacitor30_{+}h_{+}Q\_flow}\left( t \right)}{rc30_{+}heat_{capacitor30_{+}V} rc30_{+}heat_{capacitor30_{+}cp} rc30_{+}heat_{capacitor30_{+}rho}} \\ \frac{\mathrm{d} rc31_{+}capacitor31_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc31_{+}capacitor31_{+}p_{+}i\left( t \right)}{rc31_{+}capacitor31_{+}C} \\ \frac{\mathrm{d} rc31_{+}heat_{capacitor31_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc31_{+}heat_{capacitor31_{+}h_{+}Q\_flow}\left( t \right)}{rc31_{+}heat_{capacitor31_{+}V} rc31_{+}heat_{capacitor31_{+}cp} rc31_{+}heat_{capacitor31_{+}rho}} \\ \frac{\mathrm{d} rc32_{+}capacitor32_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc32_{+}capacitor32_{+}p_{+}i\left( t \right)}{rc32_{+}capacitor32_{+}C} \\ \frac{\mathrm{d} rc32_{+}heat_{capacitor32_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc32_{+}heat_{capacitor32_{+}h_{+}Q\_flow}\left( t \right)}{rc32_{+}heat_{capacitor32_{+}V} rc32_{+}heat_{capacitor32_{+}cp} rc32_{+}heat_{capacitor32_{+}rho}} \\ \frac{\mathrm{d} rc33_{+}capacitor33_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc33_{+}capacitor33_{+}p_{+}i\left( t \right)}{rc33_{+}capacitor33_{+}C} \\ \frac{\mathrm{d} rc33_{+}heat_{capacitor33_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc33_{+}heat_{capacitor33_{+}h_{+}Q\_flow}\left( t \right)}{rc33_{+}heat_{capacitor33_{+}V} rc33_{+}heat_{capacitor33_{+}cp} rc33_{+}heat_{capacitor33_{+}rho}} \\ \frac{\mathrm{d} rc34_{+}capacitor34_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc34_{+}capacitor34_{+}p_{+}i\left( t \right)}{rc34_{+}capacitor34_{+}C} \\ \frac{\mathrm{d} rc34_{+}heat_{capacitor34_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc34_{+}heat_{capacitor34_{+}h_{+}Q\_flow}\left( t \right)}{rc34_{+}heat_{capacitor34_{+}V} rc34_{+}heat_{capacitor34_{+}cp} rc34_{+}heat_{capacitor34_{+}rho}} \\ \frac{\mathrm{d} rc35_{+}capacitor35_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc35_{+}capacitor35_{+}p_{+}i\left( t \right)}{rc35_{+}capacitor35_{+}C} \\ \frac{\mathrm{d} rc35_{+}heat_{capacitor35_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc35_{+}heat_{capacitor35_{+}h_{+}Q\_flow}\left( t \right)}{rc35_{+}heat_{capacitor35_{+}V} rc35_{+}heat_{capacitor35_{+}cp} rc35_{+}heat_{capacitor35_{+}rho}} \\ \frac{\mathrm{d} rc36_{+}capacitor36_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc36_{+}capacitor36_{+}p_{+}i\left( t \right)}{rc36_{+}capacitor36_{+}C} \\ \frac{\mathrm{d} rc36_{+}heat_{capacitor36_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc36_{+}heat_{capacitor36_{+}h_{+}Q\_flow}\left( t \right)}{rc36_{+}heat_{capacitor36_{+}V} rc36_{+}heat_{capacitor36_{+}cp} rc36_{+}heat_{capacitor36_{+}rho}} \\ \frac{\mathrm{d} rc37_{+}capacitor37_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc37_{+}capacitor37_{+}p_{+}i\left( t \right)}{rc37_{+}capacitor37_{+}C} \\ \frac{\mathrm{d} rc37_{+}heat_{capacitor37_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc37_{+}heat_{capacitor37_{+}h_{+}Q\_flow}\left( t \right)}{rc37_{+}heat_{capacitor37_{+}V} rc37_{+}heat_{capacitor37_{+}cp} rc37_{+}heat_{capacitor37_{+}rho}} \\ \frac{\mathrm{d} rc38_{+}capacitor38_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc38_{+}capacitor38_{+}p_{+}i\left( t \right)}{rc38_{+}capacitor38_{+}C} \\ \frac{\mathrm{d} rc38_{+}heat_{capacitor38_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc38_{+}heat_{capacitor38_{+}h_{+}Q\_flow}\left( t \right)}{rc38_{+}heat_{capacitor38_{+}V} rc38_{+}heat_{capacitor38_{+}cp} rc38_{+}heat_{capacitor38_{+}rho}} \\ \frac{\mathrm{d} rc39_{+}capacitor39_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc39_{+}capacitor39_{+}p_{+}i\left( t \right)}{rc39_{+}capacitor39_{+}C} \\ \frac{\mathrm{d} rc39_{+}heat_{capacitor39_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc39_{+}heat_{capacitor39_{+}h_{+}Q\_flow}\left( t \right)}{rc39_{+}heat_{capacitor39_{+}V} rc39_{+}heat_{capacitor39_{+}cp} rc39_{+}heat_{capacitor39_{+}rho}} \\ \frac{\mathrm{d} rc40_{+}capacitor40_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc40_{+}capacitor40_{+}p_{+}i\left( t \right)}{rc40_{+}capacitor40_{+}C} \\ \frac{\mathrm{d} rc40_{+}heat_{capacitor40_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc40_{+}heat_{capacitor40_{+}h_{+}Q\_flow}\left( t \right)}{rc40_{+}heat_{capacitor40_{+}V} rc40_{+}heat_{capacitor40_{+}cp} rc40_{+}heat_{capacitor40_{+}rho}} \\ \frac{\mathrm{d} rc41_{+}capacitor41_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc41_{+}capacitor41_{+}p_{+}i\left( t \right)}{rc41_{+}capacitor41_{+}C} \\ \frac{\mathrm{d} rc41_{+}heat_{capacitor41_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc41_{+}heat_{capacitor41_{+}h_{+}Q\_flow}\left( t \right)}{rc41_{+}heat_{capacitor41_{+}V} rc41_{+}heat_{capacitor41_{+}cp} rc41_{+}heat_{capacitor41_{+}rho}} \\ \frac{\mathrm{d} rc42_{+}capacitor42_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc42_{+}capacitor42_{+}p_{+}i\left( t \right)}{rc42_{+}capacitor42_{+}C} \\ \frac{\mathrm{d} rc42_{+}heat_{capacitor42_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc42_{+}heat_{capacitor42_{+}h_{+}Q\_flow}\left( t \right)}{rc42_{+}heat_{capacitor42_{+}V} rc42_{+}heat_{capacitor42_{+}cp} rc42_{+}heat_{capacitor42_{+}rho}} \\ \frac{\mathrm{d} rc43_{+}capacitor43_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc43_{+}capacitor43_{+}p_{+}i\left( t \right)}{rc43_{+}capacitor43_{+}C} \\ \frac{\mathrm{d} rc43_{+}heat_{capacitor43_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc43_{+}heat_{capacitor43_{+}h_{+}Q\_flow}\left( t \right)}{rc43_{+}heat_{capacitor43_{+}V} rc43_{+}heat_{capacitor43_{+}cp} rc43_{+}heat_{capacitor43_{+}rho}} \\ \frac{\mathrm{d} rc44_{+}capacitor44_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc44_{+}capacitor44_{+}p_{+}i\left( t \right)}{rc44_{+}capacitor44_{+}C} \\ \frac{\mathrm{d} rc44_{+}heat_{capacitor44_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc44_{+}heat_{capacitor44_{+}h_{+}Q\_flow}\left( t \right)}{rc44_{+}heat_{capacitor44_{+}V} rc44_{+}heat_{capacitor44_{+}cp} rc44_{+}heat_{capacitor44_{+}rho}} \\ \frac{\mathrm{d} rc45_{+}capacitor45_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc45_{+}capacitor45_{+}p_{+}i\left( t \right)}{rc45_{+}capacitor45_{+}C} \\ \frac{\mathrm{d} rc45_{+}heat_{capacitor45_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc45_{+}heat_{capacitor45_{+}h_{+}Q\_flow}\left( t \right)}{rc45_{+}heat_{capacitor45_{+}V} rc45_{+}heat_{capacitor45_{+}cp} rc45_{+}heat_{capacitor45_{+}rho}} \\ \frac{\mathrm{d} rc46_{+}capacitor46_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc46_{+}capacitor46_{+}p_{+}i\left( t \right)}{rc46_{+}capacitor46_{+}C} \\ \frac{\mathrm{d} rc46_{+}heat_{capacitor46_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc46_{+}heat_{capacitor46_{+}h_{+}Q\_flow}\left( t \right)}{rc46_{+}heat_{capacitor46_{+}V} rc46_{+}heat_{capacitor46_{+}cp} rc46_{+}heat_{capacitor46_{+}rho}} \\ \frac{\mathrm{d} rc47_{+}capacitor47_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc47_{+}capacitor47_{+}p_{+}i\left( t \right)}{rc47_{+}capacitor47_{+}C} \\ \frac{\mathrm{d} rc47_{+}heat_{capacitor47_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc47_{+}heat_{capacitor47_{+}h_{+}Q\_flow}\left( t \right)}{rc47_{+}heat_{capacitor47_{+}V} rc47_{+}heat_{capacitor47_{+}cp} rc47_{+}heat_{capacitor47_{+}rho}} \\ \frac{\mathrm{d} rc48_{+}capacitor48_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc48_{+}capacitor48_{+}p_{+}i\left( t \right)}{rc48_{+}capacitor48_{+}C} \\ \frac{\mathrm{d} rc48_{+}heat_{capacitor48_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc48_{+}heat_{capacitor48_{+}h_{+}Q\_flow}\left( t \right)}{rc48_{+}heat_{capacitor48_{+}V} rc48_{+}heat_{capacitor48_{+}cp} rc48_{+}heat_{capacitor48_{+}rho}} \\ \frac{\mathrm{d} rc49_{+}capacitor49_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc49_{+}capacitor49_{+}p_{+}i\left( t \right)}{rc49_{+}capacitor49_{+}C} \\ \frac{\mathrm{d} rc49_{+}heat_{capacitor49_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc49_{+}heat_{capacitor49_{+}h_{+}Q\_flow}\left( t \right)}{rc49_{+}heat_{capacitor49_{+}V} rc49_{+}heat_{capacitor49_{+}cp} rc49_{+}heat_{capacitor49_{+}rho}} \\ \frac{\mathrm{d} rc50_{+}capacitor50_{+}v\left( t \right)}{\mathrm{d}t} =& \frac{rc50_{+}capacitor50_{+}p_{+}i\left( t \right)}{rc50_{+}capacitor50_{+}C} \\ \frac{\mathrm{d} rc50_{+}heat_{capacitor50_{+}h_{+}T}\left( t \right)}{\mathrm{d}t} =& \frac{rc50_{+}heat_{capacitor50_{+}h_{+}Q\_flow}\left( t \right)}{rc50_{+}heat_{capacitor50_{+}V} rc50_{+}heat_{capacitor50_{+}cp} rc50_{+}heat_{capacitor50_{+}rho}} \\ 0 =& - rc1_{+}resistor1_{+}v\left( t \right) + rc1_{+}capacitor1_{+}p_{+}i\left( t \right) rc1_{+}resistor1_{+}RTherm\left( t \right) \\ 0 =& - rc2_{+}resistor2_{+}v\left( t \right) + rc2_{+}capacitor2_{+}p_{+}i\left( t \right) rc2_{+}resistor2_{+}RTherm\left( t \right) \\ 0 =& rc3_{+}capacitor3_{+}p_{+}i\left( t \right) rc3_{+}resistor3_{+}RTherm\left( t \right) - rc3_{+}resistor3_{+}v\left( t \right) \\ 0 =& rc4_{+}capacitor4_{+}p_{+}i\left( t \right) rc4_{+}resistor4_{+}RTherm\left( t \right) - rc4_{+}resistor4_{+}v\left( t \right) \\ 0 =& rc5_{+}capacitor5_{+}p_{+}i\left( t \right) rc5_{+}resistor5_{+}RTherm\left( t \right) - rc5_{+}resistor5_{+}v\left( t \right) \\ 0 =& rc6_{+}capacitor6_{+}p_{+}i\left( t \right) rc6_{+}resistor6_{+}RTherm\left( t \right) - rc6_{+}resistor6_{+}v\left( t \right) \\ 0 =& - rc7_{+}resistor7_{+}v\left( t \right) + rc7_{+}capacitor7_{+}p_{+}i\left( t \right) rc7_{+}resistor7_{+}RTherm\left( t \right) \\ 0 =& - rc8_{+}resistor8_{+}v\left( t \right) + rc8_{+}capacitor8_{+}p_{+}i\left( t \right) rc8_{+}resistor8_{+}RTherm\left( t \right) \\ 0 =& rc9_{+}capacitor9_{+}p_{+}i\left( t \right) rc9_{+}resistor9_{+}RTherm\left( t \right) - rc9_{+}resistor9_{+}v\left( t \right) \\ 0 =& - rc10_{+}resistor10_{+}v\left( t \right) + rc10_{+}capacitor10_{+}p_{+}i\left( t \right) rc10_{+}resistor10_{+}RTherm\left( t \right) \\ 0 =& - rc11_{+}resistor11_{+}v\left( t \right) + rc11_{+}capacitor11_{+}p_{+}i\left( t \right) rc11_{+}resistor11_{+}RTherm\left( t \right) \\ 0 =& - rc12_{+}resistor12_{+}v\left( t \right) + rc12_{+}capacitor12_{+}p_{+}i\left( t \right) rc12_{+}resistor12_{+}RTherm\left( t \right) \\ 0 =& - rc13_{+}resistor13_{+}v\left( t \right) + rc13_{+}capacitor13_{+}p_{+}i\left( t \right) rc13_{+}resistor13_{+}RTherm\left( t \right) \\ 0 =& - rc14_{+}resistor14_{+}v\left( t \right) + rc14_{+}capacitor14_{+}p_{+}i\left( t \right) rc14_{+}resistor14_{+}RTherm\left( t \right) \\ 0 =& - rc15_{+}resistor15_{+}v\left( t \right) + rc15_{+}capacitor15_{+}p_{+}i\left( t \right) rc15_{+}resistor15_{+}RTherm\left( t \right) \\ 0 =& rc16_{+}capacitor16_{+}p_{+}i\left( t \right) rc16_{+}resistor16_{+}RTherm\left( t \right) - rc16_{+}resistor16_{+}v\left( t \right) \\ 0 =& - rc17_{+}resistor17_{+}v\left( t \right) + rc17_{+}capacitor17_{+}p_{+}i\left( t \right) rc17_{+}resistor17_{+}RTherm\left( t \right) \\ 0 =& - rc18_{+}resistor18_{+}v\left( t \right) + rc18_{+}capacitor18_{+}p_{+}i\left( t \right) rc18_{+}resistor18_{+}RTherm\left( t \right) \\ 0 =& - rc19_{+}resistor19_{+}v\left( t \right) + rc19_{+}capacitor19_{+}p_{+}i\left( t \right) rc19_{+}resistor19_{+}RTherm\left( t \right) \\ 0 =& rc20_{+}capacitor20_{+}p_{+}i\left( t \right) rc20_{+}resistor20_{+}RTherm\left( t \right) - rc20_{+}resistor20_{+}v\left( t \right) \\ 0 =& - rc21_{+}resistor21_{+}v\left( t \right) + rc21_{+}capacitor21_{+}p_{+}i\left( t \right) rc21_{+}resistor21_{+}RTherm\left( t \right) \\ 0 =& rc22_{+}capacitor22_{+}p_{+}i\left( t \right) rc22_{+}resistor22_{+}RTherm\left( t \right) - rc22_{+}resistor22_{+}v\left( t \right) \\ 0 =& rc23_{+}capacitor23_{+}p_{+}i\left( t \right) rc23_{+}resistor23_{+}RTherm\left( t \right) - rc23_{+}resistor23_{+}v\left( t \right) \\ 0 =& - rc24_{+}resistor24_{+}v\left( t \right) + rc24_{+}capacitor24_{+}p_{+}i\left( t \right) rc24_{+}resistor24_{+}RTherm\left( t \right) \\ 0 =& rc25_{+}capacitor25_{+}p_{+}i\left( t \right) rc25_{+}resistor25_{+}RTherm\left( t \right) - rc25_{+}resistor25_{+}v\left( t \right) \\ 0 =& - rc26_{+}resistor26_{+}v\left( t \right) + rc26_{+}capacitor26_{+}p_{+}i\left( t \right) rc26_{+}resistor26_{+}RTherm\left( t \right) \\ 0 =& rc27_{+}capacitor27_{+}p_{+}i\left( t \right) rc27_{+}resistor27_{+}RTherm\left( t \right) - rc27_{+}resistor27_{+}v\left( t \right) \\ 0 =& rc28_{+}capacitor28_{+}p_{+}i\left( t \right) rc28_{+}resistor28_{+}RTherm\left( t \right) - rc28_{+}resistor28_{+}v\left( t \right) \\ 0 =& rc29_{+}capacitor29_{+}p_{+}i\left( t \right) rc29_{+}resistor29_{+}RTherm\left( t \right) - rc29_{+}resistor29_{+}v\left( t \right) \\ 0 =& - rc30_{+}resistor30_{+}v\left( t \right) + rc30_{+}capacitor30_{+}p_{+}i\left( t \right) rc30_{+}resistor30_{+}RTherm\left( t \right) \\ 0 =& - rc31_{+}resistor31_{+}v\left( t \right) + rc31_{+}capacitor31_{+}p_{+}i\left( t \right) rc31_{+}resistor31_{+}RTherm\left( t \right) \\ 0 =& - rc32_{+}resistor32_{+}v\left( t \right) + rc32_{+}capacitor32_{+}p_{+}i\left( t \right) rc32_{+}resistor32_{+}RTherm\left( t \right) \\ 0 =& - rc33_{+}resistor33_{+}v\left( t \right) + rc33_{+}capacitor33_{+}p_{+}i\left( t \right) rc33_{+}resistor33_{+}RTherm\left( t \right) \\ 0 =& - rc34_{+}resistor34_{+}v\left( t \right) + rc34_{+}capacitor34_{+}p_{+}i\left( t \right) rc34_{+}resistor34_{+}RTherm\left( t \right) \\ 0 =& - rc35_{+}resistor35_{+}v\left( t \right) + rc35_{+}capacitor35_{+}p_{+}i\left( t \right) rc35_{+}resistor35_{+}RTherm\left( t \right) \\ 0 =& - rc36_{+}resistor36_{+}v\left( t \right) + rc36_{+}capacitor36_{+}p_{+}i\left( t \right) rc36_{+}resistor36_{+}RTherm\left( t \right) \\ 0 =& rc37_{+}capacitor37_{+}p_{+}i\left( t \right) rc37_{+}resistor37_{+}RTherm\left( t \right) - rc37_{+}resistor37_{+}v\left( t \right) \\ 0 =& rc38_{+}capacitor38_{+}p_{+}i\left( t \right) rc38_{+}resistor38_{+}RTherm\left( t \right) - rc38_{+}resistor38_{+}v\left( t \right) \\ 0 =& rc39_{+}capacitor39_{+}p_{+}i\left( t \right) rc39_{+}resistor39_{+}RTherm\left( t \right) - rc39_{+}resistor39_{+}v\left( t \right) \\ 0 =& rc40_{+}capacitor40_{+}p_{+}i\left( t \right) rc40_{+}resistor40_{+}RTherm\left( t \right) - rc40_{+}resistor40_{+}v\left( t \right) \\ 0 =& - rc41_{+}resistor41_{+}v\left( t \right) + rc41_{+}capacitor41_{+}p_{+}i\left( t \right) rc41_{+}resistor41_{+}RTherm\left( t \right) \\ 0 =& rc42_{+}capacitor42_{+}p_{+}i\left( t \right) rc42_{+}resistor42_{+}RTherm\left( t \right) - rc42_{+}resistor42_{+}v\left( t \right) \\ 0 =& - rc43_{+}resistor43_{+}v\left( t \right) + rc43_{+}capacitor43_{+}p_{+}i\left( t \right) rc43_{+}resistor43_{+}RTherm\left( t \right) \\ 0 =& rc44_{+}capacitor44_{+}p_{+}i\left( t \right) rc44_{+}resistor44_{+}RTherm\left( t \right) - rc44_{+}resistor44_{+}v\left( t \right) \\ 0 =& rc45_{+}capacitor45_{+}p_{+}i\left( t \right) rc45_{+}resistor45_{+}RTherm\left( t \right) - rc45_{+}resistor45_{+}v\left( t \right) \\ 0 =& - rc46_{+}resistor46_{+}v\left( t \right) + rc46_{+}capacitor46_{+}p_{+}i\left( t \right) rc46_{+}resistor46_{+}RTherm\left( t \right) \\ 0 =& - rc47_{+}resistor47_{+}v\left( t \right) + rc47_{+}capacitor47_{+}p_{+}i\left( t \right) rc47_{+}resistor47_{+}RTherm\left( t \right) \\ 0 =& rc48_{+}capacitor48_{+}p_{+}i\left( t \right) rc48_{+}resistor48_{+}RTherm\left( t \right) - rc48_{+}resistor48_{+}v\left( t \right) \\ 0 =& rc49_{+}capacitor49_{+}p_{+}i\left( t \right) rc49_{+}resistor49_{+}RTherm\left( t \right) - rc49_{+}resistor49_{+}v\left( t \right) \\ 0 =& - rc50_{+}resistor50_{+}v\left( t \right) + rc50_{+}capacitor50_{+}p_{+}i\left( t \right) rc50_{+}resistor50_{+}RTherm\left( t \right) \end{align} \]

That's not all though. In addition, the tearing process has turned the sets of nonlinear equations into separate blocks and constructed a DAG for the dependencies between the blocks. We can use the bipartite graph functionality to dig in and investigate what this means:

using ModelingToolkit.BipartiteGraphs
ts = TearingState(expand_connections(big_rc))
inc_org = BipartiteGraphs.incidence_matrix(ts.structure.graph)
blt_org = StructuralTransformations.sorted_incidence_matrix(ts, only_algeqs=true, only_algvars=true)
blt_reduced = StructuralTransformations.sorted_incidence_matrix(ModelingToolkit.get_tearing_state(sys), only_algeqs=true, only_algvars=true)
50×50 SparseArrays.SparseMatrixCSC{Bool, Int64} with 50 stored entries:
⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑

The figure on the left is the original incidence matrix of the algebraic equations. Notice that the original formulation of the model has dependencies between different equations, and so the full set of equations must be solved together. That exposes no parallelism. However, the Block Lower Triangular (BLT) transformation exposes independent blocks. This is then further improved by the tearing process, which removes 90% of the equations and transforms the nonlinear equations into 50 independent blocks which can now all be solved in parallel. The conclusion is that, your attempts to parallelize are neigh: performing parallelism after structural simplification greatly improves the problem that can be parallelized, so this is better than trying to do it by hand.

After performing this, you can construct the ODEProblem/ODAEProblem and set parallel_form to use the exposed parallelism in multithreaded function constructions, but this showcases why structural_simplify is so important to that process.