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{dE(t)}{dt} = \mathrm{rc10{+}resistor10{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc11{+}resistor11{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc12{+}resistor12{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc13{+}resistor13{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc14{+}resistor14{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc15{+}resistor15{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc16{+}resistor16{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc17{+}resistor17{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc18{+}resistor18{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc19{+}resistor19{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc1{+}resistor1{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc20{+}resistor20{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc21{+}resistor21{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc22{+}resistor22{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc23{+}resistor23{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc24{+}resistor24{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc25{+}resistor25{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc26{+}resistor26{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc27{+}resistor27{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc28{+}resistor28{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc29{+}resistor29{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc2{+}resistor2{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc30{+}resistor30{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc31{+}resistor31{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc32{+}resistor32{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc33{+}resistor33{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc34{+}resistor34{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc35{+}resistor35{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc36{+}resistor36{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc37{+}resistor37{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc38{+}resistor38{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc39{+}resistor39{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc3{+}resistor3{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc40{+}resistor40{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc41{+}resistor41{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc42{+}resistor42{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc43{+}resistor43{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc44{+}resistor44{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc45{+}resistor45{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc46{+}resistor46{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc47{+}resistor47{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc48{+}resistor48{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc49{+}resistor49{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc4{+}resistor4{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc50{+}resistor50{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc5{+}resistor5{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc6{+}resistor6{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc7{+}resistor7{+}h{+}Q}{flow}\left( t \right) + \mathrm{rc8{+}resistor8{+}h{+}Q}{flow}\left( t \right) + \mathrm{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) \ \mathrm{rc1{+}resistor1{+}RTherm}\left( t \right) = rc1{+}resistor1{+}R \left( 1 + rc1{+}resistor1{+}alpha \left( - rc1{+}resistor1{+}TAmbient + \mathrm{rc1{+}resistor1{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc1{+}resistor1{+}v}\left( t \right) = \mathrm{rc1{+}resistor1{+}RTherm}\left( t \right) \mathrm{rc1{+}resistor1{+}p{+}i}\left( t \right) \ \mathrm{rc1{+}resistor1{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc1{+}resistor1{+}p{+}i}\left( t \right) \mathrm{rc1{+}resistor1{+}v}\left( t \right) \ \mathrm{rc1{+}resistor1{+}v}\left( t \right) = - \mathrm{rc1{+}resistor1{+}n{+}v}\left( t \right) + \mathrm{rc1{+}resistor1{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc1{+}resistor1{+}n{+}i}\left( t \right) + \mathrm{rc1{+}resistor1{+}p{+}i}\left( t \right) \ \mathrm{rc1{+}capacitor1{+}v}\left( t \right) = - \mathrm{rc1{+}capacitor1{+}n{+}v}\left( t \right) + \mathrm{rc1{+}capacitor1{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc1{+}capacitor1{+}n{+}i}\left( t \right) + \mathrm{rc1{+}capacitor1{+}p{+}i}\left( t \right) \ \frac{drc1{+}capacitor1{+}v(t)}{dt} = \frac{\mathrm{rc1{+}capacitor1{+}p{+}i}\left( t \right)}{rc1{+}capacitor1{+}C} \ rc1{+}source{+}V = - \mathrm{rc1{+}source{+}n{+}v}\left( t \right) + \mathrm{rc1{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc1{+}source{+}n{+}i}\left( t \right) + \mathrm{rc1{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc1{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc1{+}heat{capacitor1{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc2{+}resistor2{+}RTherm}\left( t \right) = rc2{+}resistor2{+}R \left( 1 + rc2{+}resistor2{+}alpha \left( - rc2{+}resistor2{+}TAmbient + \mathrm{rc2{+}resistor2{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc2{+}resistor2{+}v}\left( t \right) = \mathrm{rc2{+}resistor2{+}RTherm}\left( t \right) \mathrm{rc2{+}resistor2{+}p{+}i}\left( t \right) \ \mathrm{rc2{+}resistor2{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc2{+}resistor2{+}p{+}i}\left( t \right) \mathrm{rc2{+}resistor2{+}v}\left( t \right) \ \mathrm{rc2{+}resistor2{+}v}\left( t \right) = - \mathrm{rc2{+}resistor2{+}n{+}v}\left( t \right) + \mathrm{rc2{+}resistor2{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc2{+}resistor2{+}n{+}i}\left( t \right) + \mathrm{rc2{+}resistor2{+}p{+}i}\left( t \right) \ \mathrm{rc2{+}capacitor2{+}v}\left( t \right) = - \mathrm{rc2{+}capacitor2{+}n{+}v}\left( t \right) + \mathrm{rc2{+}capacitor2{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc2{+}capacitor2{+}n{+}i}\left( t \right) + \mathrm{rc2{+}capacitor2{+}p{+}i}\left( t \right) \ \frac{drc2{+}capacitor2{+}v(t)}{dt} = \frac{\mathrm{rc2{+}capacitor2{+}p{+}i}\left( t \right)}{rc2{+}capacitor2{+}C} \ rc2{+}source{+}V = - \mathrm{rc2{+}source{+}n{+}v}\left( t \right) + \mathrm{rc2{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc2{+}source{+}n{+}i}\left( t \right) + \mathrm{rc2{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc2{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc2{+}heat{capacitor2{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc3{+}resistor3{+}RTherm}\left( t \right) = rc3{+}resistor3{+}R \left( 1 + rc3{+}resistor3{+}alpha \left( - rc3{+}resistor3{+}TAmbient + \mathrm{rc3{+}resistor3{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc3{+}resistor3{+}v}\left( t \right) = \mathrm{rc3{+}resistor3{+}RTherm}\left( t \right) \mathrm{rc3{+}resistor3{+}p{+}i}\left( t \right) \ \mathrm{rc3{+}resistor3{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc3{+}resistor3{+}p{+}i}\left( t \right) \mathrm{rc3{+}resistor3{+}v}\left( t \right) \ \mathrm{rc3{+}resistor3{+}v}\left( t \right) = - \mathrm{rc3{+}resistor3{+}n{+}v}\left( t \right) + \mathrm{rc3{+}resistor3{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc3{+}resistor3{+}n{+}i}\left( t \right) + \mathrm{rc3{+}resistor3{+}p{+}i}\left( t \right) \ \mathrm{rc3{+}capacitor3{+}v}\left( t \right) = - \mathrm{rc3{+}capacitor3{+}n{+}v}\left( t \right) + \mathrm{rc3{+}capacitor3{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc3{+}capacitor3{+}n{+}i}\left( t \right) + \mathrm{rc3{+}capacitor3{+}p{+}i}\left( t \right) \ \frac{drc3{+}capacitor3{+}v(t)}{dt} = \frac{\mathrm{rc3{+}capacitor3{+}p{+}i}\left( t \right)}{rc3{+}capacitor3{+}C} \ rc3{+}source{+}V = - \mathrm{rc3{+}source{+}n{+}v}\left( t \right) + \mathrm{rc3{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc3{+}source{+}n{+}i}\left( t \right) + \mathrm{rc3{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc3{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc3{+}heat{capacitor3{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc4{+}resistor4{+}RTherm}\left( t \right) = rc4{+}resistor4{+}R \left( 1 + rc4{+}resistor4{+}alpha \left( - rc4{+}resistor4{+}TAmbient + \mathrm{rc4{+}resistor4{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc4{+}resistor4{+}v}\left( t \right) = \mathrm{rc4{+}resistor4{+}RTherm}\left( t \right) \mathrm{rc4{+}resistor4{+}p{+}i}\left( t \right) \ \mathrm{rc4{+}resistor4{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc4{+}resistor4{+}p{+}i}\left( t \right) \mathrm{rc4{+}resistor4{+}v}\left( t \right) \ \mathrm{rc4{+}resistor4{+}v}\left( t \right) = - \mathrm{rc4{+}resistor4{+}n{+}v}\left( t \right) + \mathrm{rc4{+}resistor4{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc4{+}resistor4{+}n{+}i}\left( t \right) + \mathrm{rc4{+}resistor4{+}p{+}i}\left( t \right) \ \mathrm{rc4{+}capacitor4{+}v}\left( t \right) = - \mathrm{rc4{+}capacitor4{+}n{+}v}\left( t \right) + \mathrm{rc4{+}capacitor4{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc4{+}capacitor4{+}n{+}i}\left( t \right) + \mathrm{rc4{+}capacitor4{+}p{+}i}\left( t \right) \ \frac{drc4{+}capacitor4{+}v(t)}{dt} = \frac{\mathrm{rc4{+}capacitor4{+}p{+}i}\left( t \right)}{rc4{+}capacitor4{+}C} \ rc4{+}source{+}V = - \mathrm{rc4{+}source{+}n{+}v}\left( t \right) + \mathrm{rc4{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc4{+}source{+}n{+}i}\left( t \right) + \mathrm{rc4{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc4{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc4{+}heat{capacitor4{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc5{+}resistor5{+}RTherm}\left( t \right) = rc5{+}resistor5{+}R \left( 1 + rc5{+}resistor5{+}alpha \left( - rc5{+}resistor5{+}TAmbient + \mathrm{rc5{+}resistor5{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc5{+}resistor5{+}v}\left( t \right) = \mathrm{rc5{+}resistor5{+}RTherm}\left( t \right) \mathrm{rc5{+}resistor5{+}p{+}i}\left( t \right) \ \mathrm{rc5{+}resistor5{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc5{+}resistor5{+}p{+}i}\left( t \right) \mathrm{rc5{+}resistor5{+}v}\left( t \right) \ \mathrm{rc5{+}resistor5{+}v}\left( t \right) = - \mathrm{rc5{+}resistor5{+}n{+}v}\left( t \right) + \mathrm{rc5{+}resistor5{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc5{+}resistor5{+}n{+}i}\left( t \right) + \mathrm{rc5{+}resistor5{+}p{+}i}\left( t \right) \ \mathrm{rc5{+}capacitor5{+}v}\left( t \right) = - \mathrm{rc5{+}capacitor5{+}n{+}v}\left( t \right) + \mathrm{rc5{+}capacitor5{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc5{+}capacitor5{+}n{+}i}\left( t \right) + \mathrm{rc5{+}capacitor5{+}p{+}i}\left( t \right) \ \frac{drc5{+}capacitor5{+}v(t)}{dt} = \frac{\mathrm{rc5{+}capacitor5{+}p{+}i}\left( t \right)}{rc5{+}capacitor5{+}C} \ rc5{+}source{+}V = - \mathrm{rc5{+}source{+}n{+}v}\left( t \right) + \mathrm{rc5{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc5{+}source{+}n{+}i}\left( t \right) + \mathrm{rc5{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc5{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc5{+}heat{capacitor5{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc6{+}resistor6{+}RTherm}\left( t \right) = rc6{+}resistor6{+}R \left( 1 + rc6{+}resistor6{+}alpha \left( - rc6{+}resistor6{+}TAmbient + \mathrm{rc6{+}resistor6{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc6{+}resistor6{+}v}\left( t \right) = \mathrm{rc6{+}resistor6{+}RTherm}\left( t \right) \mathrm{rc6{+}resistor6{+}p{+}i}\left( t \right) \ \mathrm{rc6{+}resistor6{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc6{+}resistor6{+}p{+}i}\left( t \right) \mathrm{rc6{+}resistor6{+}v}\left( t \right) \ \mathrm{rc6{+}resistor6{+}v}\left( t \right) = - \mathrm{rc6{+}resistor6{+}n{+}v}\left( t \right) + \mathrm{rc6{+}resistor6{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc6{+}resistor6{+}n{+}i}\left( t \right) + \mathrm{rc6{+}resistor6{+}p{+}i}\left( t \right) \ \mathrm{rc6{+}capacitor6{+}v}\left( t \right) = - \mathrm{rc6{+}capacitor6{+}n{+}v}\left( t \right) + \mathrm{rc6{+}capacitor6{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc6{+}capacitor6{+}n{+}i}\left( t \right) + \mathrm{rc6{+}capacitor6{+}p{+}i}\left( t \right) \ \frac{drc6{+}capacitor6{+}v(t)}{dt} = \frac{\mathrm{rc6{+}capacitor6{+}p{+}i}\left( t \right)}{rc6{+}capacitor6{+}C} \ rc6{+}source{+}V = - \mathrm{rc6{+}source{+}n{+}v}\left( t \right) + \mathrm{rc6{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc6{+}source{+}n{+}i}\left( t \right) + \mathrm{rc6{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc6{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc6{+}heat{capacitor6{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc7{+}resistor7{+}RTherm}\left( t \right) = rc7{+}resistor7{+}R \left( 1 + rc7{+}resistor7{+}alpha \left( - rc7{+}resistor7{+}TAmbient + \mathrm{rc7{+}resistor7{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc7{+}resistor7{+}v}\left( t \right) = \mathrm{rc7{+}resistor7{+}RTherm}\left( t \right) \mathrm{rc7{+}resistor7{+}p{+}i}\left( t \right) \ \mathrm{rc7{+}resistor7{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc7{+}resistor7{+}p{+}i}\left( t \right) \mathrm{rc7{+}resistor7{+}v}\left( t \right) \ \mathrm{rc7{+}resistor7{+}v}\left( t \right) = - \mathrm{rc7{+}resistor7{+}n{+}v}\left( t \right) + \mathrm{rc7{+}resistor7{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc7{+}resistor7{+}n{+}i}\left( t \right) + \mathrm{rc7{+}resistor7{+}p{+}i}\left( t \right) \ \mathrm{rc7{+}capacitor7{+}v}\left( t \right) = - \mathrm{rc7{+}capacitor7{+}n{+}v}\left( t \right) + \mathrm{rc7{+}capacitor7{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc7{+}capacitor7{+}n{+}i}\left( t \right) + \mathrm{rc7{+}capacitor7{+}p{+}i}\left( t \right) \ \frac{drc7{+}capacitor7{+}v(t)}{dt} = \frac{\mathrm{rc7{+}capacitor7{+}p{+}i}\left( t \right)}{rc7{+}capacitor7{+}C} \ rc7{+}source{+}V = - \mathrm{rc7{+}source{+}n{+}v}\left( t \right) + \mathrm{rc7{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc7{+}source{+}n{+}i}\left( t \right) + \mathrm{rc7{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc7{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc7{+}heat{capacitor7{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc8{+}resistor8{+}RTherm}\left( t \right) = rc8{+}resistor8{+}R \left( 1 + rc8{+}resistor8{+}alpha \left( - rc8{+}resistor8{+}TAmbient + \mathrm{rc8{+}resistor8{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc8{+}resistor8{+}v}\left( t \right) = \mathrm{rc8{+}resistor8{+}RTherm}\left( t \right) \mathrm{rc8{+}resistor8{+}p{+}i}\left( t \right) \ \mathrm{rc8{+}resistor8{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc8{+}resistor8{+}p{+}i}\left( t \right) \mathrm{rc8{+}resistor8{+}v}\left( t \right) \ \mathrm{rc8{+}resistor8{+}v}\left( t \right) = - \mathrm{rc8{+}resistor8{+}n{+}v}\left( t \right) + \mathrm{rc8{+}resistor8{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc8{+}resistor8{+}n{+}i}\left( t \right) + \mathrm{rc8{+}resistor8{+}p{+}i}\left( t \right) \ \mathrm{rc8{+}capacitor8{+}v}\left( t \right) = - \mathrm{rc8{+}capacitor8{+}n{+}v}\left( t \right) + \mathrm{rc8{+}capacitor8{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc8{+}capacitor8{+}n{+}i}\left( t \right) + \mathrm{rc8{+}capacitor8{+}p{+}i}\left( t \right) \ \frac{drc8{+}capacitor8{+}v(t)}{dt} = \frac{\mathrm{rc8{+}capacitor8{+}p{+}i}\left( t \right)}{rc8{+}capacitor8{+}C} \ rc8{+}source{+}V = - \mathrm{rc8{+}source{+}n{+}v}\left( t \right) + \mathrm{rc8{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc8{+}source{+}n{+}i}\left( t \right) + \mathrm{rc8{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc8{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc8{+}heat{capacitor8{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc9{+}resistor9{+}RTherm}\left( t \right) = rc9{+}resistor9{+}R \left( 1 + rc9{+}resistor9{+}alpha \left( - rc9{+}resistor9{+}TAmbient + \mathrm{rc9{+}resistor9{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc9{+}resistor9{+}v}\left( t \right) = \mathrm{rc9{+}resistor9{+}RTherm}\left( t \right) \mathrm{rc9{+}resistor9{+}p{+}i}\left( t \right) \ \mathrm{rc9{+}resistor9{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc9{+}resistor9{+}p{+}i}\left( t \right) \mathrm{rc9{+}resistor9{+}v}\left( t \right) \ \mathrm{rc9{+}resistor9{+}v}\left( t \right) = - \mathrm{rc9{+}resistor9{+}n{+}v}\left( t \right) + \mathrm{rc9{+}resistor9{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc9{+}resistor9{+}n{+}i}\left( t \right) + \mathrm{rc9{+}resistor9{+}p{+}i}\left( t \right) \ \mathrm{rc9{+}capacitor9{+}v}\left( t \right) = - \mathrm{rc9{+}capacitor9{+}n{+}v}\left( t \right) + \mathrm{rc9{+}capacitor9{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc9{+}capacitor9{+}n{+}i}\left( t \right) + \mathrm{rc9{+}capacitor9{+}p{+}i}\left( t \right) \ \frac{drc9{+}capacitor9{+}v(t)}{dt} = \frac{\mathrm{rc9{+}capacitor9{+}p{+}i}\left( t \right)}{rc9{+}capacitor9{+}C} \ rc9{+}source{+}V = - \mathrm{rc9{+}source{+}n{+}v}\left( t \right) + \mathrm{rc9{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc9{+}source{+}n{+}i}\left( t \right) + \mathrm{rc9{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc9{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc9{+}heat{capacitor9{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc10{+}resistor10{+}RTherm}\left( t \right) = rc10{+}resistor10{+}R \left( 1 + rc10{+}resistor10{+}alpha \left( - rc10{+}resistor10{+}TAmbient + \mathrm{rc10{+}resistor10{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc10{+}resistor10{+}v}\left( t \right) = \mathrm{rc10{+}resistor10{+}RTherm}\left( t \right) \mathrm{rc10{+}resistor10{+}p{+}i}\left( t \right) \ \mathrm{rc10{+}resistor10{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc10{+}resistor10{+}p{+}i}\left( t \right) \mathrm{rc10{+}resistor10{+}v}\left( t \right) \ \mathrm{rc10{+}resistor10{+}v}\left( t \right) = - \mathrm{rc10{+}resistor10{+}n{+}v}\left( t \right) + \mathrm{rc10{+}resistor10{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc10{+}resistor10{+}n{+}i}\left( t \right) + \mathrm{rc10{+}resistor10{+}p{+}i}\left( t \right) \ \mathrm{rc10{+}capacitor10{+}v}\left( t \right) = - \mathrm{rc10{+}capacitor10{+}n{+}v}\left( t \right) + \mathrm{rc10{+}capacitor10{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc10{+}capacitor10{+}n{+}i}\left( t \right) + \mathrm{rc10{+}capacitor10{+}p{+}i}\left( t \right) \ \frac{drc10{+}capacitor10{+}v(t)}{dt} = \frac{\mathrm{rc10{+}capacitor10{+}p{+}i}\left( t \right)}{rc10{+}capacitor10{+}C} \ rc10{+}source{+}V = - \mathrm{rc10{+}source{+}n{+}v}\left( t \right) + \mathrm{rc10{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc10{+}source{+}n{+}i}\left( t \right) + \mathrm{rc10{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc10{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc10{+}heat{capacitor10{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc11{+}resistor11{+}RTherm}\left( t \right) = rc11{+}resistor11{+}R \left( 1 + rc11{+}resistor11{+}alpha \left( - rc11{+}resistor11{+}TAmbient + \mathrm{rc11{+}resistor11{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc11{+}resistor11{+}v}\left( t \right) = \mathrm{rc11{+}resistor11{+}RTherm}\left( t \right) \mathrm{rc11{+}resistor11{+}p{+}i}\left( t \right) \ \mathrm{rc11{+}resistor11{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc11{+}resistor11{+}p{+}i}\left( t \right) \mathrm{rc11{+}resistor11{+}v}\left( t \right) \ \mathrm{rc11{+}resistor11{+}v}\left( t \right) = - \mathrm{rc11{+}resistor11{+}n{+}v}\left( t \right) + \mathrm{rc11{+}resistor11{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc11{+}resistor11{+}n{+}i}\left( t \right) + \mathrm{rc11{+}resistor11{+}p{+}i}\left( t \right) \ \mathrm{rc11{+}capacitor11{+}v}\left( t \right) = - \mathrm{rc11{+}capacitor11{+}n{+}v}\left( t \right) + \mathrm{rc11{+}capacitor11{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc11{+}capacitor11{+}n{+}i}\left( t \right) + \mathrm{rc11{+}capacitor11{+}p{+}i}\left( t \right) \ \frac{drc11{+}capacitor11{+}v(t)}{dt} = \frac{\mathrm{rc11{+}capacitor11{+}p{+}i}\left( t \right)}{rc11{+}capacitor11{+}C} \ rc11{+}source{+}V = - \mathrm{rc11{+}source{+}n{+}v}\left( t \right) + \mathrm{rc11{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc11{+}source{+}n{+}i}\left( t \right) + \mathrm{rc11{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc11{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc11{+}heat{capacitor11{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc12{+}resistor12{+}RTherm}\left( t \right) = rc12{+}resistor12{+}R \left( 1 + rc12{+}resistor12{+}alpha \left( - rc12{+}resistor12{+}TAmbient + \mathrm{rc12{+}resistor12{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc12{+}resistor12{+}v}\left( t \right) = \mathrm{rc12{+}resistor12{+}RTherm}\left( t \right) \mathrm{rc12{+}resistor12{+}p{+}i}\left( t \right) \ \mathrm{rc12{+}resistor12{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc12{+}resistor12{+}p{+}i}\left( t \right) \mathrm{rc12{+}resistor12{+}v}\left( t \right) \ \mathrm{rc12{+}resistor12{+}v}\left( t \right) = - \mathrm{rc12{+}resistor12{+}n{+}v}\left( t \right) + \mathrm{rc12{+}resistor12{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc12{+}resistor12{+}n{+}i}\left( t \right) + \mathrm{rc12{+}resistor12{+}p{+}i}\left( t \right) \ \mathrm{rc12{+}capacitor12{+}v}\left( t \right) = - \mathrm{rc12{+}capacitor12{+}n{+}v}\left( t \right) + \mathrm{rc12{+}capacitor12{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc12{+}capacitor12{+}n{+}i}\left( t \right) + \mathrm{rc12{+}capacitor12{+}p{+}i}\left( t \right) \ \frac{drc12{+}capacitor12{+}v(t)}{dt} = \frac{\mathrm{rc12{+}capacitor12{+}p{+}i}\left( t \right)}{rc12{+}capacitor12{+}C} \ rc12{+}source{+}V = - \mathrm{rc12{+}source{+}n{+}v}\left( t \right) + \mathrm{rc12{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc12{+}source{+}n{+}i}\left( t \right) + \mathrm{rc12{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc12{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc12{+}heat{capacitor12{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc13{+}resistor13{+}RTherm}\left( t \right) = rc13{+}resistor13{+}R \left( 1 + rc13{+}resistor13{+}alpha \left( - rc13{+}resistor13{+}TAmbient + \mathrm{rc13{+}resistor13{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc13{+}resistor13{+}v}\left( t \right) = \mathrm{rc13{+}resistor13{+}RTherm}\left( t \right) \mathrm{rc13{+}resistor13{+}p{+}i}\left( t \right) \ \mathrm{rc13{+}resistor13{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc13{+}resistor13{+}p{+}i}\left( t \right) \mathrm{rc13{+}resistor13{+}v}\left( t \right) \ \mathrm{rc13{+}resistor13{+}v}\left( t \right) = - \mathrm{rc13{+}resistor13{+}n{+}v}\left( t \right) + \mathrm{rc13{+}resistor13{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc13{+}resistor13{+}n{+}i}\left( t \right) + \mathrm{rc13{+}resistor13{+}p{+}i}\left( t \right) \ \mathrm{rc13{+}capacitor13{+}v}\left( t \right) = - \mathrm{rc13{+}capacitor13{+}n{+}v}\left( t \right) + \mathrm{rc13{+}capacitor13{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc13{+}capacitor13{+}n{+}i}\left( t \right) + \mathrm{rc13{+}capacitor13{+}p{+}i}\left( t \right) \ \frac{drc13{+}capacitor13{+}v(t)}{dt} = \frac{\mathrm{rc13{+}capacitor13{+}p{+}i}\left( t \right)}{rc13{+}capacitor13{+}C} \ rc13{+}source{+}V = - \mathrm{rc13{+}source{+}n{+}v}\left( t \right) + \mathrm{rc13{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc13{+}source{+}n{+}i}\left( t \right) + \mathrm{rc13{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc13{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc13{+}heat{capacitor13{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc14{+}resistor14{+}RTherm}\left( t \right) = rc14{+}resistor14{+}R \left( 1 + rc14{+}resistor14{+}alpha \left( - rc14{+}resistor14{+}TAmbient + \mathrm{rc14{+}resistor14{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc14{+}resistor14{+}v}\left( t \right) = \mathrm{rc14{+}resistor14{+}RTherm}\left( t \right) \mathrm{rc14{+}resistor14{+}p{+}i}\left( t \right) \ \mathrm{rc14{+}resistor14{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc14{+}resistor14{+}p{+}i}\left( t \right) \mathrm{rc14{+}resistor14{+}v}\left( t \right) \ \mathrm{rc14{+}resistor14{+}v}\left( t \right) = - \mathrm{rc14{+}resistor14{+}n{+}v}\left( t \right) + \mathrm{rc14{+}resistor14{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc14{+}resistor14{+}n{+}i}\left( t \right) + \mathrm{rc14{+}resistor14{+}p{+}i}\left( t \right) \ \mathrm{rc14{+}capacitor14{+}v}\left( t \right) = - \mathrm{rc14{+}capacitor14{+}n{+}v}\left( t \right) + \mathrm{rc14{+}capacitor14{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc14{+}capacitor14{+}n{+}i}\left( t \right) + \mathrm{rc14{+}capacitor14{+}p{+}i}\left( t \right) \ \frac{drc14{+}capacitor14{+}v(t)}{dt} = \frac{\mathrm{rc14{+}capacitor14{+}p{+}i}\left( t \right)}{rc14{+}capacitor14{+}C} \ rc14{+}source{+}V = - \mathrm{rc14{+}source{+}n{+}v}\left( t \right) + \mathrm{rc14{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc14{+}source{+}n{+}i}\left( t \right) + \mathrm{rc14{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc14{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc14{+}heat{capacitor14{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc15{+}resistor15{+}RTherm}\left( t \right) = rc15{+}resistor15{+}R \left( 1 + rc15{+}resistor15{+}alpha \left( - rc15{+}resistor15{+}TAmbient + \mathrm{rc15{+}resistor15{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc15{+}resistor15{+}v}\left( t \right) = \mathrm{rc15{+}resistor15{+}RTherm}\left( t \right) \mathrm{rc15{+}resistor15{+}p{+}i}\left( t \right) \ \mathrm{rc15{+}resistor15{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc15{+}resistor15{+}p{+}i}\left( t \right) \mathrm{rc15{+}resistor15{+}v}\left( t \right) \ \mathrm{rc15{+}resistor15{+}v}\left( t \right) = - \mathrm{rc15{+}resistor15{+}n{+}v}\left( t \right) + \mathrm{rc15{+}resistor15{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc15{+}resistor15{+}n{+}i}\left( t \right) + \mathrm{rc15{+}resistor15{+}p{+}i}\left( t \right) \ \mathrm{rc15{+}capacitor15{+}v}\left( t \right) = - \mathrm{rc15{+}capacitor15{+}n{+}v}\left( t \right) + \mathrm{rc15{+}capacitor15{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc15{+}capacitor15{+}n{+}i}\left( t \right) + \mathrm{rc15{+}capacitor15{+}p{+}i}\left( t \right) \ \frac{drc15{+}capacitor15{+}v(t)}{dt} = \frac{\mathrm{rc15{+}capacitor15{+}p{+}i}\left( t \right)}{rc15{+}capacitor15{+}C} \ rc15{+}source{+}V = - \mathrm{rc15{+}source{+}n{+}v}\left( t \right) + \mathrm{rc15{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc15{+}source{+}n{+}i}\left( t \right) + \mathrm{rc15{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc15{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc15{+}heat{capacitor15{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc16{+}resistor16{+}RTherm}\left( t \right) = rc16{+}resistor16{+}R \left( 1 + rc16{+}resistor16{+}alpha \left( - rc16{+}resistor16{+}TAmbient + \mathrm{rc16{+}resistor16{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc16{+}resistor16{+}v}\left( t \right) = \mathrm{rc16{+}resistor16{+}RTherm}\left( t \right) \mathrm{rc16{+}resistor16{+}p{+}i}\left( t \right) \ \mathrm{rc16{+}resistor16{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc16{+}resistor16{+}p{+}i}\left( t \right) \mathrm{rc16{+}resistor16{+}v}\left( t \right) \ \mathrm{rc16{+}resistor16{+}v}\left( t \right) = - \mathrm{rc16{+}resistor16{+}n{+}v}\left( t \right) + \mathrm{rc16{+}resistor16{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc16{+}resistor16{+}n{+}i}\left( t \right) + \mathrm{rc16{+}resistor16{+}p{+}i}\left( t \right) \ \mathrm{rc16{+}capacitor16{+}v}\left( t \right) = - \mathrm{rc16{+}capacitor16{+}n{+}v}\left( t \right) + \mathrm{rc16{+}capacitor16{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc16{+}capacitor16{+}n{+}i}\left( t \right) + \mathrm{rc16{+}capacitor16{+}p{+}i}\left( t \right) \ \frac{drc16{+}capacitor16{+}v(t)}{dt} = \frac{\mathrm{rc16{+}capacitor16{+}p{+}i}\left( t \right)}{rc16{+}capacitor16{+}C} \ rc16{+}source{+}V = - \mathrm{rc16{+}source{+}n{+}v}\left( t \right) + \mathrm{rc16{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc16{+}source{+}n{+}i}\left( t \right) + \mathrm{rc16{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc16{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc16{+}heat{capacitor16{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc17{+}resistor17{+}RTherm}\left( t \right) = rc17{+}resistor17{+}R \left( 1 + rc17{+}resistor17{+}alpha \left( - rc17{+}resistor17{+}TAmbient + \mathrm{rc17{+}resistor17{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc17{+}resistor17{+}v}\left( t \right) = \mathrm{rc17{+}resistor17{+}RTherm}\left( t \right) \mathrm{rc17{+}resistor17{+}p{+}i}\left( t \right) \ \mathrm{rc17{+}resistor17{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc17{+}resistor17{+}p{+}i}\left( t \right) \mathrm{rc17{+}resistor17{+}v}\left( t \right) \ \mathrm{rc17{+}resistor17{+}v}\left( t \right) = - \mathrm{rc17{+}resistor17{+}n{+}v}\left( t \right) + \mathrm{rc17{+}resistor17{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc17{+}resistor17{+}n{+}i}\left( t \right) + \mathrm{rc17{+}resistor17{+}p{+}i}\left( t \right) \ \mathrm{rc17{+}capacitor17{+}v}\left( t \right) = - \mathrm{rc17{+}capacitor17{+}n{+}v}\left( t \right) + \mathrm{rc17{+}capacitor17{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc17{+}capacitor17{+}n{+}i}\left( t \right) + \mathrm{rc17{+}capacitor17{+}p{+}i}\left( t \right) \ \frac{drc17{+}capacitor17{+}v(t)}{dt} = \frac{\mathrm{rc17{+}capacitor17{+}p{+}i}\left( t \right)}{rc17{+}capacitor17{+}C} \ rc17{+}source{+}V = - \mathrm{rc17{+}source{+}n{+}v}\left( t \right) + \mathrm{rc17{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc17{+}source{+}n{+}i}\left( t \right) + \mathrm{rc17{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc17{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc17{+}heat{capacitor17{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc18{+}resistor18{+}RTherm}\left( t \right) = rc18{+}resistor18{+}R \left( 1 + rc18{+}resistor18{+}alpha \left( - rc18{+}resistor18{+}TAmbient + \mathrm{rc18{+}resistor18{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc18{+}resistor18{+}v}\left( t \right) = \mathrm{rc18{+}resistor18{+}RTherm}\left( t \right) \mathrm{rc18{+}resistor18{+}p{+}i}\left( t \right) \ \mathrm{rc18{+}resistor18{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc18{+}resistor18{+}p{+}i}\left( t \right) \mathrm{rc18{+}resistor18{+}v}\left( t \right) \ \mathrm{rc18{+}resistor18{+}v}\left( t \right) = - \mathrm{rc18{+}resistor18{+}n{+}v}\left( t \right) + \mathrm{rc18{+}resistor18{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc18{+}resistor18{+}n{+}i}\left( t \right) + \mathrm{rc18{+}resistor18{+}p{+}i}\left( t \right) \ \mathrm{rc18{+}capacitor18{+}v}\left( t \right) = - \mathrm{rc18{+}capacitor18{+}n{+}v}\left( t \right) + \mathrm{rc18{+}capacitor18{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc18{+}capacitor18{+}n{+}i}\left( t \right) + \mathrm{rc18{+}capacitor18{+}p{+}i}\left( t \right) \ \frac{drc18{+}capacitor18{+}v(t)}{dt} = \frac{\mathrm{rc18{+}capacitor18{+}p{+}i}\left( t \right)}{rc18{+}capacitor18{+}C} \ rc18{+}source{+}V = - \mathrm{rc18{+}source{+}n{+}v}\left( t \right) + \mathrm{rc18{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc18{+}source{+}n{+}i}\left( t \right) + \mathrm{rc18{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc18{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc18{+}heat{capacitor18{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc19{+}resistor19{+}RTherm}\left( t \right) = rc19{+}resistor19{+}R \left( 1 + rc19{+}resistor19{+}alpha \left( - rc19{+}resistor19{+}TAmbient + \mathrm{rc19{+}resistor19{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc19{+}resistor19{+}v}\left( t \right) = \mathrm{rc19{+}resistor19{+}RTherm}\left( t \right) \mathrm{rc19{+}resistor19{+}p{+}i}\left( t \right) \ \mathrm{rc19{+}resistor19{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc19{+}resistor19{+}p{+}i}\left( t \right) \mathrm{rc19{+}resistor19{+}v}\left( t \right) \ \mathrm{rc19{+}resistor19{+}v}\left( t \right) = - \mathrm{rc19{+}resistor19{+}n{+}v}\left( t \right) + \mathrm{rc19{+}resistor19{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc19{+}resistor19{+}n{+}i}\left( t \right) + \mathrm{rc19{+}resistor19{+}p{+}i}\left( t \right) \ \mathrm{rc19{+}capacitor19{+}v}\left( t \right) = - \mathrm{rc19{+}capacitor19{+}n{+}v}\left( t \right) + \mathrm{rc19{+}capacitor19{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc19{+}capacitor19{+}n{+}i}\left( t \right) + \mathrm{rc19{+}capacitor19{+}p{+}i}\left( t \right) \ \frac{drc19{+}capacitor19{+}v(t)}{dt} = \frac{\mathrm{rc19{+}capacitor19{+}p{+}i}\left( t \right)}{rc19{+}capacitor19{+}C} \ rc19{+}source{+}V = - \mathrm{rc19{+}source{+}n{+}v}\left( t \right) + \mathrm{rc19{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc19{+}source{+}n{+}i}\left( t \right) + \mathrm{rc19{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc19{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc19{+}heat{capacitor19{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc20{+}resistor20{+}RTherm}\left( t \right) = rc20{+}resistor20{+}R \left( 1 + rc20{+}resistor20{+}alpha \left( - rc20{+}resistor20{+}TAmbient + \mathrm{rc20{+}resistor20{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc20{+}resistor20{+}v}\left( t \right) = \mathrm{rc20{+}resistor20{+}RTherm}\left( t \right) \mathrm{rc20{+}resistor20{+}p{+}i}\left( t \right) \ \mathrm{rc20{+}resistor20{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc20{+}resistor20{+}p{+}i}\left( t \right) \mathrm{rc20{+}resistor20{+}v}\left( t \right) \ \mathrm{rc20{+}resistor20{+}v}\left( t \right) = - \mathrm{rc20{+}resistor20{+}n{+}v}\left( t \right) + \mathrm{rc20{+}resistor20{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc20{+}resistor20{+}n{+}i}\left( t \right) + \mathrm{rc20{+}resistor20{+}p{+}i}\left( t \right) \ \mathrm{rc20{+}capacitor20{+}v}\left( t \right) = - \mathrm{rc20{+}capacitor20{+}n{+}v}\left( t \right) + \mathrm{rc20{+}capacitor20{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc20{+}capacitor20{+}n{+}i}\left( t \right) + \mathrm{rc20{+}capacitor20{+}p{+}i}\left( t \right) \ \frac{drc20{+}capacitor20{+}v(t)}{dt} = \frac{\mathrm{rc20{+}capacitor20{+}p{+}i}\left( t \right)}{rc20{+}capacitor20{+}C} \ rc20{+}source{+}V = - \mathrm{rc20{+}source{+}n{+}v}\left( t \right) + \mathrm{rc20{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc20{+}source{+}n{+}i}\left( t \right) + \mathrm{rc20{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc20{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc20{+}heat{capacitor20{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc21{+}resistor21{+}RTherm}\left( t \right) = rc21{+}resistor21{+}R \left( 1 + rc21{+}resistor21{+}alpha \left( - rc21{+}resistor21{+}TAmbient + \mathrm{rc21{+}resistor21{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc21{+}resistor21{+}v}\left( t \right) = \mathrm{rc21{+}resistor21{+}RTherm}\left( t \right) \mathrm{rc21{+}resistor21{+}p{+}i}\left( t \right) \ \mathrm{rc21{+}resistor21{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc21{+}resistor21{+}p{+}i}\left( t \right) \mathrm{rc21{+}resistor21{+}v}\left( t \right) \ \mathrm{rc21{+}resistor21{+}v}\left( t \right) = - \mathrm{rc21{+}resistor21{+}n{+}v}\left( t \right) + \mathrm{rc21{+}resistor21{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc21{+}resistor21{+}n{+}i}\left( t \right) + \mathrm{rc21{+}resistor21{+}p{+}i}\left( t \right) \ \mathrm{rc21{+}capacitor21{+}v}\left( t \right) = - \mathrm{rc21{+}capacitor21{+}n{+}v}\left( t \right) + \mathrm{rc21{+}capacitor21{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc21{+}capacitor21{+}n{+}i}\left( t \right) + \mathrm{rc21{+}capacitor21{+}p{+}i}\left( t \right) \ \frac{drc21{+}capacitor21{+}v(t)}{dt} = \frac{\mathrm{rc21{+}capacitor21{+}p{+}i}\left( t \right)}{rc21{+}capacitor21{+}C} \ rc21{+}source{+}V = - \mathrm{rc21{+}source{+}n{+}v}\left( t \right) + \mathrm{rc21{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc21{+}source{+}n{+}i}\left( t \right) + \mathrm{rc21{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc21{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc21{+}heat{capacitor21{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc22{+}resistor22{+}RTherm}\left( t \right) = rc22{+}resistor22{+}R \left( 1 + rc22{+}resistor22{+}alpha \left( - rc22{+}resistor22{+}TAmbient + \mathrm{rc22{+}resistor22{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc22{+}resistor22{+}v}\left( t \right) = \mathrm{rc22{+}resistor22{+}RTherm}\left( t \right) \mathrm{rc22{+}resistor22{+}p{+}i}\left( t \right) \ \mathrm{rc22{+}resistor22{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc22{+}resistor22{+}p{+}i}\left( t \right) \mathrm{rc22{+}resistor22{+}v}\left( t \right) \ \mathrm{rc22{+}resistor22{+}v}\left( t \right) = - \mathrm{rc22{+}resistor22{+}n{+}v}\left( t \right) + \mathrm{rc22{+}resistor22{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc22{+}resistor22{+}n{+}i}\left( t \right) + \mathrm{rc22{+}resistor22{+}p{+}i}\left( t \right) \ \mathrm{rc22{+}capacitor22{+}v}\left( t \right) = - \mathrm{rc22{+}capacitor22{+}n{+}v}\left( t \right) + \mathrm{rc22{+}capacitor22{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc22{+}capacitor22{+}n{+}i}\left( t \right) + \mathrm{rc22{+}capacitor22{+}p{+}i}\left( t \right) \ \frac{drc22{+}capacitor22{+}v(t)}{dt} = \frac{\mathrm{rc22{+}capacitor22{+}p{+}i}\left( t \right)}{rc22{+}capacitor22{+}C} \ rc22{+}source{+}V = - \mathrm{rc22{+}source{+}n{+}v}\left( t \right) + \mathrm{rc22{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc22{+}source{+}n{+}i}\left( t \right) + \mathrm{rc22{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc22{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc22{+}heat{capacitor22{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc23{+}resistor23{+}RTherm}\left( t \right) = rc23{+}resistor23{+}R \left( 1 + rc23{+}resistor23{+}alpha \left( - rc23{+}resistor23{+}TAmbient + \mathrm{rc23{+}resistor23{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc23{+}resistor23{+}v}\left( t \right) = \mathrm{rc23{+}resistor23{+}RTherm}\left( t \right) \mathrm{rc23{+}resistor23{+}p{+}i}\left( t \right) \ \mathrm{rc23{+}resistor23{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc23{+}resistor23{+}p{+}i}\left( t \right) \mathrm{rc23{+}resistor23{+}v}\left( t \right) \ \mathrm{rc23{+}resistor23{+}v}\left( t \right) = - \mathrm{rc23{+}resistor23{+}n{+}v}\left( t \right) + \mathrm{rc23{+}resistor23{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc23{+}resistor23{+}n{+}i}\left( t \right) + \mathrm{rc23{+}resistor23{+}p{+}i}\left( t \right) \ \mathrm{rc23{+}capacitor23{+}v}\left( t \right) = - \mathrm{rc23{+}capacitor23{+}n{+}v}\left( t \right) + \mathrm{rc23{+}capacitor23{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc23{+}capacitor23{+}n{+}i}\left( t \right) + \mathrm{rc23{+}capacitor23{+}p{+}i}\left( t \right) \ \frac{drc23{+}capacitor23{+}v(t)}{dt} = \frac{\mathrm{rc23{+}capacitor23{+}p{+}i}\left( t \right)}{rc23{+}capacitor23{+}C} \ rc23{+}source{+}V = - \mathrm{rc23{+}source{+}n{+}v}\left( t \right) + \mathrm{rc23{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc23{+}source{+}n{+}i}\left( t \right) + \mathrm{rc23{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc23{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc23{+}heat{capacitor23{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc24{+}resistor24{+}RTherm}\left( t \right) = rc24{+}resistor24{+}R \left( 1 + rc24{+}resistor24{+}alpha \left( - rc24{+}resistor24{+}TAmbient + \mathrm{rc24{+}resistor24{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc24{+}resistor24{+}v}\left( t \right) = \mathrm{rc24{+}resistor24{+}RTherm}\left( t \right) \mathrm{rc24{+}resistor24{+}p{+}i}\left( t \right) \ \mathrm{rc24{+}resistor24{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc24{+}resistor24{+}p{+}i}\left( t \right) \mathrm{rc24{+}resistor24{+}v}\left( t \right) \ \mathrm{rc24{+}resistor24{+}v}\left( t \right) = - \mathrm{rc24{+}resistor24{+}n{+}v}\left( t \right) + \mathrm{rc24{+}resistor24{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc24{+}resistor24{+}n{+}i}\left( t \right) + \mathrm{rc24{+}resistor24{+}p{+}i}\left( t \right) \ \mathrm{rc24{+}capacitor24{+}v}\left( t \right) = - \mathrm{rc24{+}capacitor24{+}n{+}v}\left( t \right) + \mathrm{rc24{+}capacitor24{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc24{+}capacitor24{+}n{+}i}\left( t \right) + \mathrm{rc24{+}capacitor24{+}p{+}i}\left( t \right) \ \frac{drc24{+}capacitor24{+}v(t)}{dt} = \frac{\mathrm{rc24{+}capacitor24{+}p{+}i}\left( t \right)}{rc24{+}capacitor24{+}C} \ rc24{+}source{+}V = - \mathrm{rc24{+}source{+}n{+}v}\left( t \right) + \mathrm{rc24{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc24{+}source{+}n{+}i}\left( t \right) + \mathrm{rc24{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc24{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc24{+}heat{capacitor24{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc25{+}resistor25{+}RTherm}\left( t \right) = rc25{+}resistor25{+}R \left( 1 + rc25{+}resistor25{+}alpha \left( - rc25{+}resistor25{+}TAmbient + \mathrm{rc25{+}resistor25{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc25{+}resistor25{+}v}\left( t \right) = \mathrm{rc25{+}resistor25{+}RTherm}\left( t \right) \mathrm{rc25{+}resistor25{+}p{+}i}\left( t \right) \ \mathrm{rc25{+}resistor25{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc25{+}resistor25{+}p{+}i}\left( t \right) \mathrm{rc25{+}resistor25{+}v}\left( t \right) \ \mathrm{rc25{+}resistor25{+}v}\left( t \right) = - \mathrm{rc25{+}resistor25{+}n{+}v}\left( t \right) + \mathrm{rc25{+}resistor25{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc25{+}resistor25{+}n{+}i}\left( t \right) + \mathrm{rc25{+}resistor25{+}p{+}i}\left( t \right) \ \mathrm{rc25{+}capacitor25{+}v}\left( t \right) = - \mathrm{rc25{+}capacitor25{+}n{+}v}\left( t \right) + \mathrm{rc25{+}capacitor25{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc25{+}capacitor25{+}n{+}i}\left( t \right) + \mathrm{rc25{+}capacitor25{+}p{+}i}\left( t \right) \ \frac{drc25{+}capacitor25{+}v(t)}{dt} = \frac{\mathrm{rc25{+}capacitor25{+}p{+}i}\left( t \right)}{rc25{+}capacitor25{+}C} \ rc25{+}source{+}V = - \mathrm{rc25{+}source{+}n{+}v}\left( t \right) + \mathrm{rc25{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc25{+}source{+}n{+}i}\left( t \right) + \mathrm{rc25{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc25{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc25{+}heat{capacitor25{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc26{+}resistor26{+}RTherm}\left( t \right) = rc26{+}resistor26{+}R \left( 1 + rc26{+}resistor26{+}alpha \left( - rc26{+}resistor26{+}TAmbient + \mathrm{rc26{+}resistor26{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc26{+}resistor26{+}v}\left( t \right) = \mathrm{rc26{+}resistor26{+}RTherm}\left( t \right) \mathrm{rc26{+}resistor26{+}p{+}i}\left( t \right) \ \mathrm{rc26{+}resistor26{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc26{+}resistor26{+}p{+}i}\left( t \right) \mathrm{rc26{+}resistor26{+}v}\left( t \right) \ \mathrm{rc26{+}resistor26{+}v}\left( t \right) = - \mathrm{rc26{+}resistor26{+}n{+}v}\left( t \right) + \mathrm{rc26{+}resistor26{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc26{+}resistor26{+}n{+}i}\left( t \right) + \mathrm{rc26{+}resistor26{+}p{+}i}\left( t \right) \ \mathrm{rc26{+}capacitor26{+}v}\left( t \right) = - \mathrm{rc26{+}capacitor26{+}n{+}v}\left( t \right) + \mathrm{rc26{+}capacitor26{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc26{+}capacitor26{+}n{+}i}\left( t \right) + \mathrm{rc26{+}capacitor26{+}p{+}i}\left( t \right) \ \frac{drc26{+}capacitor26{+}v(t)}{dt} = \frac{\mathrm{rc26{+}capacitor26{+}p{+}i}\left( t \right)}{rc26{+}capacitor26{+}C} \ rc26{+}source{+}V = - \mathrm{rc26{+}source{+}n{+}v}\left( t \right) + \mathrm{rc26{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc26{+}source{+}n{+}i}\left( t \right) + \mathrm{rc26{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc26{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc26{+}heat{capacitor26{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc27{+}resistor27{+}RTherm}\left( t \right) = rc27{+}resistor27{+}R \left( 1 + rc27{+}resistor27{+}alpha \left( - rc27{+}resistor27{+}TAmbient + \mathrm{rc27{+}resistor27{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc27{+}resistor27{+}v}\left( t \right) = \mathrm{rc27{+}resistor27{+}RTherm}\left( t \right) \mathrm{rc27{+}resistor27{+}p{+}i}\left( t \right) \ \mathrm{rc27{+}resistor27{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc27{+}resistor27{+}p{+}i}\left( t \right) \mathrm{rc27{+}resistor27{+}v}\left( t \right) \ \mathrm{rc27{+}resistor27{+}v}\left( t \right) = - \mathrm{rc27{+}resistor27{+}n{+}v}\left( t \right) + \mathrm{rc27{+}resistor27{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc27{+}resistor27{+}n{+}i}\left( t \right) + \mathrm{rc27{+}resistor27{+}p{+}i}\left( t \right) \ \mathrm{rc27{+}capacitor27{+}v}\left( t \right) = - \mathrm{rc27{+}capacitor27{+}n{+}v}\left( t \right) + \mathrm{rc27{+}capacitor27{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc27{+}capacitor27{+}n{+}i}\left( t \right) + \mathrm{rc27{+}capacitor27{+}p{+}i}\left( t \right) \ \frac{drc27{+}capacitor27{+}v(t)}{dt} = \frac{\mathrm{rc27{+}capacitor27{+}p{+}i}\left( t \right)}{rc27{+}capacitor27{+}C} \ rc27{+}source{+}V = - \mathrm{rc27{+}source{+}n{+}v}\left( t \right) + \mathrm{rc27{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc27{+}source{+}n{+}i}\left( t \right) + \mathrm{rc27{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc27{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc27{+}heat{capacitor27{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc28{+}resistor28{+}RTherm}\left( t \right) = rc28{+}resistor28{+}R \left( 1 + rc28{+}resistor28{+}alpha \left( - rc28{+}resistor28{+}TAmbient + \mathrm{rc28{+}resistor28{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc28{+}resistor28{+}v}\left( t \right) = \mathrm{rc28{+}resistor28{+}RTherm}\left( t \right) \mathrm{rc28{+}resistor28{+}p{+}i}\left( t \right) \ \mathrm{rc28{+}resistor28{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc28{+}resistor28{+}p{+}i}\left( t \right) \mathrm{rc28{+}resistor28{+}v}\left( t \right) \ \mathrm{rc28{+}resistor28{+}v}\left( t \right) = - \mathrm{rc28{+}resistor28{+}n{+}v}\left( t \right) + \mathrm{rc28{+}resistor28{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc28{+}resistor28{+}n{+}i}\left( t \right) + \mathrm{rc28{+}resistor28{+}p{+}i}\left( t \right) \ \mathrm{rc28{+}capacitor28{+}v}\left( t \right) = - \mathrm{rc28{+}capacitor28{+}n{+}v}\left( t \right) + \mathrm{rc28{+}capacitor28{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc28{+}capacitor28{+}n{+}i}\left( t \right) + \mathrm{rc28{+}capacitor28{+}p{+}i}\left( t \right) \ \frac{drc28{+}capacitor28{+}v(t)}{dt} = \frac{\mathrm{rc28{+}capacitor28{+}p{+}i}\left( t \right)}{rc28{+}capacitor28{+}C} \ rc28{+}source{+}V = - \mathrm{rc28{+}source{+}n{+}v}\left( t \right) + \mathrm{rc28{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc28{+}source{+}n{+}i}\left( t \right) + \mathrm{rc28{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc28{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc28{+}heat{capacitor28{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc29{+}resistor29{+}RTherm}\left( t \right) = rc29{+}resistor29{+}R \left( 1 + rc29{+}resistor29{+}alpha \left( - rc29{+}resistor29{+}TAmbient + \mathrm{rc29{+}resistor29{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc29{+}resistor29{+}v}\left( t \right) = \mathrm{rc29{+}resistor29{+}RTherm}\left( t \right) \mathrm{rc29{+}resistor29{+}p{+}i}\left( t \right) \ \mathrm{rc29{+}resistor29{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc29{+}resistor29{+}p{+}i}\left( t \right) \mathrm{rc29{+}resistor29{+}v}\left( t \right) \ \mathrm{rc29{+}resistor29{+}v}\left( t \right) = - \mathrm{rc29{+}resistor29{+}n{+}v}\left( t \right) + \mathrm{rc29{+}resistor29{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc29{+}resistor29{+}n{+}i}\left( t \right) + \mathrm{rc29{+}resistor29{+}p{+}i}\left( t \right) \ \mathrm{rc29{+}capacitor29{+}v}\left( t \right) = - \mathrm{rc29{+}capacitor29{+}n{+}v}\left( t \right) + \mathrm{rc29{+}capacitor29{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc29{+}capacitor29{+}n{+}i}\left( t \right) + \mathrm{rc29{+}capacitor29{+}p{+}i}\left( t \right) \ \frac{drc29{+}capacitor29{+}v(t)}{dt} = \frac{\mathrm{rc29{+}capacitor29{+}p{+}i}\left( t \right)}{rc29{+}capacitor29{+}C} \ rc29{+}source{+}V = - \mathrm{rc29{+}source{+}n{+}v}\left( t \right) + \mathrm{rc29{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc29{+}source{+}n{+}i}\left( t \right) + \mathrm{rc29{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc29{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc29{+}heat{capacitor29{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc30{+}resistor30{+}RTherm}\left( t \right) = rc30{+}resistor30{+}R \left( 1 + rc30{+}resistor30{+}alpha \left( - rc30{+}resistor30{+}TAmbient + \mathrm{rc30{+}resistor30{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc30{+}resistor30{+}v}\left( t \right) = \mathrm{rc30{+}resistor30{+}RTherm}\left( t \right) \mathrm{rc30{+}resistor30{+}p{+}i}\left( t \right) \ \mathrm{rc30{+}resistor30{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc30{+}resistor30{+}p{+}i}\left( t \right) \mathrm{rc30{+}resistor30{+}v}\left( t \right) \ \mathrm{rc30{+}resistor30{+}v}\left( t \right) = - \mathrm{rc30{+}resistor30{+}n{+}v}\left( t \right) + \mathrm{rc30{+}resistor30{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc30{+}resistor30{+}n{+}i}\left( t \right) + \mathrm{rc30{+}resistor30{+}p{+}i}\left( t \right) \ \mathrm{rc30{+}capacitor30{+}v}\left( t \right) = - \mathrm{rc30{+}capacitor30{+}n{+}v}\left( t \right) + \mathrm{rc30{+}capacitor30{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc30{+}capacitor30{+}n{+}i}\left( t \right) + \mathrm{rc30{+}capacitor30{+}p{+}i}\left( t \right) \ \frac{drc30{+}capacitor30{+}v(t)}{dt} = \frac{\mathrm{rc30{+}capacitor30{+}p{+}i}\left( t \right)}{rc30{+}capacitor30{+}C} \ rc30{+}source{+}V = - \mathrm{rc30{+}source{+}n{+}v}\left( t \right) + \mathrm{rc30{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc30{+}source{+}n{+}i}\left( t \right) + \mathrm{rc30{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc30{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc30{+}heat{capacitor30{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc31{+}resistor31{+}RTherm}\left( t \right) = rc31{+}resistor31{+}R \left( 1 + rc31{+}resistor31{+}alpha \left( - rc31{+}resistor31{+}TAmbient + \mathrm{rc31{+}resistor31{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc31{+}resistor31{+}v}\left( t \right) = \mathrm{rc31{+}resistor31{+}RTherm}\left( t \right) \mathrm{rc31{+}resistor31{+}p{+}i}\left( t \right) \ \mathrm{rc31{+}resistor31{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc31{+}resistor31{+}p{+}i}\left( t \right) \mathrm{rc31{+}resistor31{+}v}\left( t \right) \ \mathrm{rc31{+}resistor31{+}v}\left( t \right) = - \mathrm{rc31{+}resistor31{+}n{+}v}\left( t \right) + \mathrm{rc31{+}resistor31{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc31{+}resistor31{+}n{+}i}\left( t \right) + \mathrm{rc31{+}resistor31{+}p{+}i}\left( t \right) \ \mathrm{rc31{+}capacitor31{+}v}\left( t \right) = - \mathrm{rc31{+}capacitor31{+}n{+}v}\left( t \right) + \mathrm{rc31{+}capacitor31{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc31{+}capacitor31{+}n{+}i}\left( t \right) + \mathrm{rc31{+}capacitor31{+}p{+}i}\left( t \right) \ \frac{drc31{+}capacitor31{+}v(t)}{dt} = \frac{\mathrm{rc31{+}capacitor31{+}p{+}i}\left( t \right)}{rc31{+}capacitor31{+}C} \ rc31{+}source{+}V = - \mathrm{rc31{+}source{+}n{+}v}\left( t \right) + \mathrm{rc31{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc31{+}source{+}n{+}i}\left( t \right) + \mathrm{rc31{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc31{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc31{+}heat{capacitor31{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc32{+}resistor32{+}RTherm}\left( t \right) = rc32{+}resistor32{+}R \left( 1 + rc32{+}resistor32{+}alpha \left( - rc32{+}resistor32{+}TAmbient + \mathrm{rc32{+}resistor32{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc32{+}resistor32{+}v}\left( t \right) = \mathrm{rc32{+}resistor32{+}RTherm}\left( t \right) \mathrm{rc32{+}resistor32{+}p{+}i}\left( t \right) \ \mathrm{rc32{+}resistor32{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc32{+}resistor32{+}p{+}i}\left( t \right) \mathrm{rc32{+}resistor32{+}v}\left( t \right) \ \mathrm{rc32{+}resistor32{+}v}\left( t \right) = - \mathrm{rc32{+}resistor32{+}n{+}v}\left( t \right) + \mathrm{rc32{+}resistor32{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc32{+}resistor32{+}n{+}i}\left( t \right) + \mathrm{rc32{+}resistor32{+}p{+}i}\left( t \right) \ \mathrm{rc32{+}capacitor32{+}v}\left( t \right) = - \mathrm{rc32{+}capacitor32{+}n{+}v}\left( t \right) + \mathrm{rc32{+}capacitor32{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc32{+}capacitor32{+}n{+}i}\left( t \right) + \mathrm{rc32{+}capacitor32{+}p{+}i}\left( t \right) \ \frac{drc32{+}capacitor32{+}v(t)}{dt} = \frac{\mathrm{rc32{+}capacitor32{+}p{+}i}\left( t \right)}{rc32{+}capacitor32{+}C} \ rc32{+}source{+}V = - \mathrm{rc32{+}source{+}n{+}v}\left( t \right) + \mathrm{rc32{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc32{+}source{+}n{+}i}\left( t \right) + \mathrm{rc32{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc32{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc32{+}heat{capacitor32{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc33{+}resistor33{+}RTherm}\left( t \right) = rc33{+}resistor33{+}R \left( 1 + rc33{+}resistor33{+}alpha \left( - rc33{+}resistor33{+}TAmbient + \mathrm{rc33{+}resistor33{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc33{+}resistor33{+}v}\left( t \right) = \mathrm{rc33{+}resistor33{+}RTherm}\left( t \right) \mathrm{rc33{+}resistor33{+}p{+}i}\left( t \right) \ \mathrm{rc33{+}resistor33{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc33{+}resistor33{+}p{+}i}\left( t \right) \mathrm{rc33{+}resistor33{+}v}\left( t \right) \ \mathrm{rc33{+}resistor33{+}v}\left( t \right) = - \mathrm{rc33{+}resistor33{+}n{+}v}\left( t \right) + \mathrm{rc33{+}resistor33{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc33{+}resistor33{+}n{+}i}\left( t \right) + \mathrm{rc33{+}resistor33{+}p{+}i}\left( t \right) \ \mathrm{rc33{+}capacitor33{+}v}\left( t \right) = - \mathrm{rc33{+}capacitor33{+}n{+}v}\left( t \right) + \mathrm{rc33{+}capacitor33{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc33{+}capacitor33{+}n{+}i}\left( t \right) + \mathrm{rc33{+}capacitor33{+}p{+}i}\left( t \right) \ \frac{drc33{+}capacitor33{+}v(t)}{dt} = \frac{\mathrm{rc33{+}capacitor33{+}p{+}i}\left( t \right)}{rc33{+}capacitor33{+}C} \ rc33{+}source{+}V = - \mathrm{rc33{+}source{+}n{+}v}\left( t \right) + \mathrm{rc33{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc33{+}source{+}n{+}i}\left( t \right) + \mathrm{rc33{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc33{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc33{+}heat{capacitor33{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc34{+}resistor34{+}RTherm}\left( t \right) = rc34{+}resistor34{+}R \left( 1 + rc34{+}resistor34{+}alpha \left( - rc34{+}resistor34{+}TAmbient + \mathrm{rc34{+}resistor34{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc34{+}resistor34{+}v}\left( t \right) = \mathrm{rc34{+}resistor34{+}RTherm}\left( t \right) \mathrm{rc34{+}resistor34{+}p{+}i}\left( t \right) \ \mathrm{rc34{+}resistor34{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc34{+}resistor34{+}p{+}i}\left( t \right) \mathrm{rc34{+}resistor34{+}v}\left( t \right) \ \mathrm{rc34{+}resistor34{+}v}\left( t \right) = - \mathrm{rc34{+}resistor34{+}n{+}v}\left( t \right) + \mathrm{rc34{+}resistor34{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc34{+}resistor34{+}n{+}i}\left( t \right) + \mathrm{rc34{+}resistor34{+}p{+}i}\left( t \right) \ \mathrm{rc34{+}capacitor34{+}v}\left( t \right) = - \mathrm{rc34{+}capacitor34{+}n{+}v}\left( t \right) + \mathrm{rc34{+}capacitor34{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc34{+}capacitor34{+}n{+}i}\left( t \right) + \mathrm{rc34{+}capacitor34{+}p{+}i}\left( t \right) \ \frac{drc34{+}capacitor34{+}v(t)}{dt} = \frac{\mathrm{rc34{+}capacitor34{+}p{+}i}\left( t \right)}{rc34{+}capacitor34{+}C} \ rc34{+}source{+}V = - \mathrm{rc34{+}source{+}n{+}v}\left( t \right) + \mathrm{rc34{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc34{+}source{+}n{+}i}\left( t \right) + \mathrm{rc34{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc34{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc34{+}heat{capacitor34{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc35{+}resistor35{+}RTherm}\left( t \right) = rc35{+}resistor35{+}R \left( 1 + rc35{+}resistor35{+}alpha \left( - rc35{+}resistor35{+}TAmbient + \mathrm{rc35{+}resistor35{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc35{+}resistor35{+}v}\left( t \right) = \mathrm{rc35{+}resistor35{+}RTherm}\left( t \right) \mathrm{rc35{+}resistor35{+}p{+}i}\left( t \right) \ \mathrm{rc35{+}resistor35{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc35{+}resistor35{+}p{+}i}\left( t \right) \mathrm{rc35{+}resistor35{+}v}\left( t \right) \ \mathrm{rc35{+}resistor35{+}v}\left( t \right) = - \mathrm{rc35{+}resistor35{+}n{+}v}\left( t \right) + \mathrm{rc35{+}resistor35{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc35{+}resistor35{+}n{+}i}\left( t \right) + \mathrm{rc35{+}resistor35{+}p{+}i}\left( t \right) \ \mathrm{rc35{+}capacitor35{+}v}\left( t \right) = - \mathrm{rc35{+}capacitor35{+}n{+}v}\left( t \right) + \mathrm{rc35{+}capacitor35{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc35{+}capacitor35{+}n{+}i}\left( t \right) + \mathrm{rc35{+}capacitor35{+}p{+}i}\left( t \right) \ \frac{drc35{+}capacitor35{+}v(t)}{dt} = \frac{\mathrm{rc35{+}capacitor35{+}p{+}i}\left( t \right)}{rc35{+}capacitor35{+}C} \ rc35{+}source{+}V = - \mathrm{rc35{+}source{+}n{+}v}\left( t \right) + \mathrm{rc35{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc35{+}source{+}n{+}i}\left( t \right) + \mathrm{rc35{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc35{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc35{+}heat{capacitor35{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc36{+}resistor36{+}RTherm}\left( t \right) = rc36{+}resistor36{+}R \left( 1 + rc36{+}resistor36{+}alpha \left( - rc36{+}resistor36{+}TAmbient + \mathrm{rc36{+}resistor36{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc36{+}resistor36{+}v}\left( t \right) = \mathrm{rc36{+}resistor36{+}RTherm}\left( t \right) \mathrm{rc36{+}resistor36{+}p{+}i}\left( t \right) \ \mathrm{rc36{+}resistor36{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc36{+}resistor36{+}p{+}i}\left( t \right) \mathrm{rc36{+}resistor36{+}v}\left( t \right) \ \mathrm{rc36{+}resistor36{+}v}\left( t \right) = - \mathrm{rc36{+}resistor36{+}n{+}v}\left( t \right) + \mathrm{rc36{+}resistor36{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc36{+}resistor36{+}n{+}i}\left( t \right) + \mathrm{rc36{+}resistor36{+}p{+}i}\left( t \right) \ \mathrm{rc36{+}capacitor36{+}v}\left( t \right) = - \mathrm{rc36{+}capacitor36{+}n{+}v}\left( t \right) + \mathrm{rc36{+}capacitor36{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc36{+}capacitor36{+}n{+}i}\left( t \right) + \mathrm{rc36{+}capacitor36{+}p{+}i}\left( t \right) \ \frac{drc36{+}capacitor36{+}v(t)}{dt} = \frac{\mathrm{rc36{+}capacitor36{+}p{+}i}\left( t \right)}{rc36{+}capacitor36{+}C} \ rc36{+}source{+}V = - \mathrm{rc36{+}source{+}n{+}v}\left( t \right) + \mathrm{rc36{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc36{+}source{+}n{+}i}\left( t \right) + \mathrm{rc36{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc36{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc36{+}heat{capacitor36{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc37{+}resistor37{+}RTherm}\left( t \right) = rc37{+}resistor37{+}R \left( 1 + rc37{+}resistor37{+}alpha \left( - rc37{+}resistor37{+}TAmbient + \mathrm{rc37{+}resistor37{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc37{+}resistor37{+}v}\left( t \right) = \mathrm{rc37{+}resistor37{+}RTherm}\left( t \right) \mathrm{rc37{+}resistor37{+}p{+}i}\left( t \right) \ \mathrm{rc37{+}resistor37{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc37{+}resistor37{+}p{+}i}\left( t \right) \mathrm{rc37{+}resistor37{+}v}\left( t \right) \ \mathrm{rc37{+}resistor37{+}v}\left( t \right) = - \mathrm{rc37{+}resistor37{+}n{+}v}\left( t \right) + \mathrm{rc37{+}resistor37{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc37{+}resistor37{+}n{+}i}\left( t \right) + \mathrm{rc37{+}resistor37{+}p{+}i}\left( t \right) \ \mathrm{rc37{+}capacitor37{+}v}\left( t \right) = - \mathrm{rc37{+}capacitor37{+}n{+}v}\left( t \right) + \mathrm{rc37{+}capacitor37{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc37{+}capacitor37{+}n{+}i}\left( t \right) + \mathrm{rc37{+}capacitor37{+}p{+}i}\left( t \right) \ \frac{drc37{+}capacitor37{+}v(t)}{dt} = \frac{\mathrm{rc37{+}capacitor37{+}p{+}i}\left( t \right)}{rc37{+}capacitor37{+}C} \ rc37{+}source{+}V = - \mathrm{rc37{+}source{+}n{+}v}\left( t \right) + \mathrm{rc37{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc37{+}source{+}n{+}i}\left( t \right) + \mathrm{rc37{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc37{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc37{+}heat{capacitor37{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc38{+}resistor38{+}RTherm}\left( t \right) = rc38{+}resistor38{+}R \left( 1 + rc38{+}resistor38{+}alpha \left( - rc38{+}resistor38{+}TAmbient + \mathrm{rc38{+}resistor38{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc38{+}resistor38{+}v}\left( t \right) = \mathrm{rc38{+}resistor38{+}RTherm}\left( t \right) \mathrm{rc38{+}resistor38{+}p{+}i}\left( t \right) \ \mathrm{rc38{+}resistor38{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc38{+}resistor38{+}p{+}i}\left( t \right) \mathrm{rc38{+}resistor38{+}v}\left( t \right) \ \mathrm{rc38{+}resistor38{+}v}\left( t \right) = - \mathrm{rc38{+}resistor38{+}n{+}v}\left( t \right) + \mathrm{rc38{+}resistor38{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc38{+}resistor38{+}n{+}i}\left( t \right) + \mathrm{rc38{+}resistor38{+}p{+}i}\left( t \right) \ \mathrm{rc38{+}capacitor38{+}v}\left( t \right) = - \mathrm{rc38{+}capacitor38{+}n{+}v}\left( t \right) + \mathrm{rc38{+}capacitor38{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc38{+}capacitor38{+}n{+}i}\left( t \right) + \mathrm{rc38{+}capacitor38{+}p{+}i}\left( t \right) \ \frac{drc38{+}capacitor38{+}v(t)}{dt} = \frac{\mathrm{rc38{+}capacitor38{+}p{+}i}\left( t \right)}{rc38{+}capacitor38{+}C} \ rc38{+}source{+}V = - \mathrm{rc38{+}source{+}n{+}v}\left( t \right) + \mathrm{rc38{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc38{+}source{+}n{+}i}\left( t \right) + \mathrm{rc38{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc38{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc38{+}heat{capacitor38{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc39{+}resistor39{+}RTherm}\left( t \right) = rc39{+}resistor39{+}R \left( 1 + rc39{+}resistor39{+}alpha \left( - rc39{+}resistor39{+}TAmbient + \mathrm{rc39{+}resistor39{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc39{+}resistor39{+}v}\left( t \right) = \mathrm{rc39{+}resistor39{+}RTherm}\left( t \right) \mathrm{rc39{+}resistor39{+}p{+}i}\left( t \right) \ \mathrm{rc39{+}resistor39{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc39{+}resistor39{+}p{+}i}\left( t \right) \mathrm{rc39{+}resistor39{+}v}\left( t \right) \ \mathrm{rc39{+}resistor39{+}v}\left( t \right) = - \mathrm{rc39{+}resistor39{+}n{+}v}\left( t \right) + \mathrm{rc39{+}resistor39{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc39{+}resistor39{+}n{+}i}\left( t \right) + \mathrm{rc39{+}resistor39{+}p{+}i}\left( t \right) \ \mathrm{rc39{+}capacitor39{+}v}\left( t \right) = - \mathrm{rc39{+}capacitor39{+}n{+}v}\left( t \right) + \mathrm{rc39{+}capacitor39{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc39{+}capacitor39{+}n{+}i}\left( t \right) + \mathrm{rc39{+}capacitor39{+}p{+}i}\left( t \right) \ \frac{drc39{+}capacitor39{+}v(t)}{dt} = \frac{\mathrm{rc39{+}capacitor39{+}p{+}i}\left( t \right)}{rc39{+}capacitor39{+}C} \ rc39{+}source{+}V = - \mathrm{rc39{+}source{+}n{+}v}\left( t \right) + \mathrm{rc39{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc39{+}source{+}n{+}i}\left( t \right) + \mathrm{rc39{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc39{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc39{+}heat{capacitor39{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc40{+}resistor40{+}RTherm}\left( t \right) = rc40{+}resistor40{+}R \left( 1 + rc40{+}resistor40{+}alpha \left( - rc40{+}resistor40{+}TAmbient + \mathrm{rc40{+}resistor40{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc40{+}resistor40{+}v}\left( t \right) = \mathrm{rc40{+}resistor40{+}RTherm}\left( t \right) \mathrm{rc40{+}resistor40{+}p{+}i}\left( t \right) \ \mathrm{rc40{+}resistor40{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc40{+}resistor40{+}p{+}i}\left( t \right) \mathrm{rc40{+}resistor40{+}v}\left( t \right) \ \mathrm{rc40{+}resistor40{+}v}\left( t \right) = - \mathrm{rc40{+}resistor40{+}n{+}v}\left( t \right) + \mathrm{rc40{+}resistor40{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc40{+}resistor40{+}n{+}i}\left( t \right) + \mathrm{rc40{+}resistor40{+}p{+}i}\left( t \right) \ \mathrm{rc40{+}capacitor40{+}v}\left( t \right) = - \mathrm{rc40{+}capacitor40{+}n{+}v}\left( t \right) + \mathrm{rc40{+}capacitor40{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc40{+}capacitor40{+}n{+}i}\left( t \right) + \mathrm{rc40{+}capacitor40{+}p{+}i}\left( t \right) \ \frac{drc40{+}capacitor40{+}v(t)}{dt} = \frac{\mathrm{rc40{+}capacitor40{+}p{+}i}\left( t \right)}{rc40{+}capacitor40{+}C} \ rc40{+}source{+}V = - \mathrm{rc40{+}source{+}n{+}v}\left( t \right) + \mathrm{rc40{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc40{+}source{+}n{+}i}\left( t \right) + \mathrm{rc40{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc40{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc40{+}heat{capacitor40{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc41{+}resistor41{+}RTherm}\left( t \right) = rc41{+}resistor41{+}R \left( 1 + rc41{+}resistor41{+}alpha \left( - rc41{+}resistor41{+}TAmbient + \mathrm{rc41{+}resistor41{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc41{+}resistor41{+}v}\left( t \right) = \mathrm{rc41{+}resistor41{+}RTherm}\left( t \right) \mathrm{rc41{+}resistor41{+}p{+}i}\left( t \right) \ \mathrm{rc41{+}resistor41{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc41{+}resistor41{+}p{+}i}\left( t \right) \mathrm{rc41{+}resistor41{+}v}\left( t \right) \ \mathrm{rc41{+}resistor41{+}v}\left( t \right) = - \mathrm{rc41{+}resistor41{+}n{+}v}\left( t \right) + \mathrm{rc41{+}resistor41{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc41{+}resistor41{+}n{+}i}\left( t \right) + \mathrm{rc41{+}resistor41{+}p{+}i}\left( t \right) \ \mathrm{rc41{+}capacitor41{+}v}\left( t \right) = - \mathrm{rc41{+}capacitor41{+}n{+}v}\left( t \right) + \mathrm{rc41{+}capacitor41{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc41{+}capacitor41{+}n{+}i}\left( t \right) + \mathrm{rc41{+}capacitor41{+}p{+}i}\left( t \right) \ \frac{drc41{+}capacitor41{+}v(t)}{dt} = \frac{\mathrm{rc41{+}capacitor41{+}p{+}i}\left( t \right)}{rc41{+}capacitor41{+}C} \ rc41{+}source{+}V = - \mathrm{rc41{+}source{+}n{+}v}\left( t \right) + \mathrm{rc41{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc41{+}source{+}n{+}i}\left( t \right) + \mathrm{rc41{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc41{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc41{+}heat{capacitor41{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc42{+}resistor42{+}RTherm}\left( t \right) = rc42{+}resistor42{+}R \left( 1 + rc42{+}resistor42{+}alpha \left( - rc42{+}resistor42{+}TAmbient + \mathrm{rc42{+}resistor42{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc42{+}resistor42{+}v}\left( t \right) = \mathrm{rc42{+}resistor42{+}RTherm}\left( t \right) \mathrm{rc42{+}resistor42{+}p{+}i}\left( t \right) \ \mathrm{rc42{+}resistor42{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc42{+}resistor42{+}p{+}i}\left( t \right) \mathrm{rc42{+}resistor42{+}v}\left( t \right) \ \mathrm{rc42{+}resistor42{+}v}\left( t \right) = - \mathrm{rc42{+}resistor42{+}n{+}v}\left( t \right) + \mathrm{rc42{+}resistor42{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc42{+}resistor42{+}n{+}i}\left( t \right) + \mathrm{rc42{+}resistor42{+}p{+}i}\left( t \right) \ \mathrm{rc42{+}capacitor42{+}v}\left( t \right) = - \mathrm{rc42{+}capacitor42{+}n{+}v}\left( t \right) + \mathrm{rc42{+}capacitor42{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc42{+}capacitor42{+}n{+}i}\left( t \right) + \mathrm{rc42{+}capacitor42{+}p{+}i}\left( t \right) \ \frac{drc42{+}capacitor42{+}v(t)}{dt} = \frac{\mathrm{rc42{+}capacitor42{+}p{+}i}\left( t \right)}{rc42{+}capacitor42{+}C} \ rc42{+}source{+}V = - \mathrm{rc42{+}source{+}n{+}v}\left( t \right) + \mathrm{rc42{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc42{+}source{+}n{+}i}\left( t \right) + \mathrm{rc42{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc42{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc42{+}heat{capacitor42{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc43{+}resistor43{+}RTherm}\left( t \right) = rc43{+}resistor43{+}R \left( 1 + rc43{+}resistor43{+}alpha \left( - rc43{+}resistor43{+}TAmbient + \mathrm{rc43{+}resistor43{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc43{+}resistor43{+}v}\left( t \right) = \mathrm{rc43{+}resistor43{+}RTherm}\left( t \right) \mathrm{rc43{+}resistor43{+}p{+}i}\left( t \right) \ \mathrm{rc43{+}resistor43{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc43{+}resistor43{+}p{+}i}\left( t \right) \mathrm{rc43{+}resistor43{+}v}\left( t \right) \ \mathrm{rc43{+}resistor43{+}v}\left( t \right) = - \mathrm{rc43{+}resistor43{+}n{+}v}\left( t \right) + \mathrm{rc43{+}resistor43{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc43{+}resistor43{+}n{+}i}\left( t \right) + \mathrm{rc43{+}resistor43{+}p{+}i}\left( t \right) \ \mathrm{rc43{+}capacitor43{+}v}\left( t \right) = - \mathrm{rc43{+}capacitor43{+}n{+}v}\left( t \right) + \mathrm{rc43{+}capacitor43{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc43{+}capacitor43{+}n{+}i}\left( t \right) + \mathrm{rc43{+}capacitor43{+}p{+}i}\left( t \right) \ \frac{drc43{+}capacitor43{+}v(t)}{dt} = \frac{\mathrm{rc43{+}capacitor43{+}p{+}i}\left( t \right)}{rc43{+}capacitor43{+}C} \ rc43{+}source{+}V = - \mathrm{rc43{+}source{+}n{+}v}\left( t \right) + \mathrm{rc43{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc43{+}source{+}n{+}i}\left( t \right) + \mathrm{rc43{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc43{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc43{+}heat{capacitor43{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc44{+}resistor44{+}RTherm}\left( t \right) = rc44{+}resistor44{+}R \left( 1 + rc44{+}resistor44{+}alpha \left( - rc44{+}resistor44{+}TAmbient + \mathrm{rc44{+}resistor44{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc44{+}resistor44{+}v}\left( t \right) = \mathrm{rc44{+}resistor44{+}RTherm}\left( t \right) \mathrm{rc44{+}resistor44{+}p{+}i}\left( t \right) \ \mathrm{rc44{+}resistor44{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc44{+}resistor44{+}p{+}i}\left( t \right) \mathrm{rc44{+}resistor44{+}v}\left( t \right) \ \mathrm{rc44{+}resistor44{+}v}\left( t \right) = - \mathrm{rc44{+}resistor44{+}n{+}v}\left( t \right) + \mathrm{rc44{+}resistor44{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc44{+}resistor44{+}n{+}i}\left( t \right) + \mathrm{rc44{+}resistor44{+}p{+}i}\left( t \right) \ \mathrm{rc44{+}capacitor44{+}v}\left( t \right) = - \mathrm{rc44{+}capacitor44{+}n{+}v}\left( t \right) + \mathrm{rc44{+}capacitor44{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc44{+}capacitor44{+}n{+}i}\left( t \right) + \mathrm{rc44{+}capacitor44{+}p{+}i}\left( t \right) \ \frac{drc44{+}capacitor44{+}v(t)}{dt} = \frac{\mathrm{rc44{+}capacitor44{+}p{+}i}\left( t \right)}{rc44{+}capacitor44{+}C} \ rc44{+}source{+}V = - \mathrm{rc44{+}source{+}n{+}v}\left( t \right) + \mathrm{rc44{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc44{+}source{+}n{+}i}\left( t \right) + \mathrm{rc44{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc44{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc44{+}heat{capacitor44{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc45{+}resistor45{+}RTherm}\left( t \right) = rc45{+}resistor45{+}R \left( 1 + rc45{+}resistor45{+}alpha \left( - rc45{+}resistor45{+}TAmbient + \mathrm{rc45{+}resistor45{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc45{+}resistor45{+}v}\left( t \right) = \mathrm{rc45{+}resistor45{+}RTherm}\left( t \right) \mathrm{rc45{+}resistor45{+}p{+}i}\left( t \right) \ \mathrm{rc45{+}resistor45{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc45{+}resistor45{+}p{+}i}\left( t \right) \mathrm{rc45{+}resistor45{+}v}\left( t \right) \ \mathrm{rc45{+}resistor45{+}v}\left( t \right) = - \mathrm{rc45{+}resistor45{+}n{+}v}\left( t \right) + \mathrm{rc45{+}resistor45{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc45{+}resistor45{+}n{+}i}\left( t \right) + \mathrm{rc45{+}resistor45{+}p{+}i}\left( t \right) \ \mathrm{rc45{+}capacitor45{+}v}\left( t \right) = - \mathrm{rc45{+}capacitor45{+}n{+}v}\left( t \right) + \mathrm{rc45{+}capacitor45{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc45{+}capacitor45{+}n{+}i}\left( t \right) + \mathrm{rc45{+}capacitor45{+}p{+}i}\left( t \right) \ \frac{drc45{+}capacitor45{+}v(t)}{dt} = \frac{\mathrm{rc45{+}capacitor45{+}p{+}i}\left( t \right)}{rc45{+}capacitor45{+}C} \ rc45{+}source{+}V = - \mathrm{rc45{+}source{+}n{+}v}\left( t \right) + \mathrm{rc45{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc45{+}source{+}n{+}i}\left( t \right) + \mathrm{rc45{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc45{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc45{+}heat{capacitor45{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc46{+}resistor46{+}RTherm}\left( t \right) = rc46{+}resistor46{+}R \left( 1 + rc46{+}resistor46{+}alpha \left( - rc46{+}resistor46{+}TAmbient + \mathrm{rc46{+}resistor46{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc46{+}resistor46{+}v}\left( t \right) = \mathrm{rc46{+}resistor46{+}RTherm}\left( t \right) \mathrm{rc46{+}resistor46{+}p{+}i}\left( t \right) \ \mathrm{rc46{+}resistor46{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc46{+}resistor46{+}p{+}i}\left( t \right) \mathrm{rc46{+}resistor46{+}v}\left( t \right) \ \mathrm{rc46{+}resistor46{+}v}\left( t \right) = - \mathrm{rc46{+}resistor46{+}n{+}v}\left( t \right) + \mathrm{rc46{+}resistor46{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc46{+}resistor46{+}n{+}i}\left( t \right) + \mathrm{rc46{+}resistor46{+}p{+}i}\left( t \right) \ \mathrm{rc46{+}capacitor46{+}v}\left( t \right) = - \mathrm{rc46{+}capacitor46{+}n{+}v}\left( t \right) + \mathrm{rc46{+}capacitor46{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc46{+}capacitor46{+}n{+}i}\left( t \right) + \mathrm{rc46{+}capacitor46{+}p{+}i}\left( t \right) \ \frac{drc46{+}capacitor46{+}v(t)}{dt} = \frac{\mathrm{rc46{+}capacitor46{+}p{+}i}\left( t \right)}{rc46{+}capacitor46{+}C} \ rc46{+}source{+}V = - \mathrm{rc46{+}source{+}n{+}v}\left( t \right) + \mathrm{rc46{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc46{+}source{+}n{+}i}\left( t \right) + \mathrm{rc46{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc46{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc46{+}heat{capacitor46{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc47{+}resistor47{+}RTherm}\left( t \right) = rc47{+}resistor47{+}R \left( 1 + rc47{+}resistor47{+}alpha \left( - rc47{+}resistor47{+}TAmbient + \mathrm{rc47{+}resistor47{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc47{+}resistor47{+}v}\left( t \right) = \mathrm{rc47{+}resistor47{+}RTherm}\left( t \right) \mathrm{rc47{+}resistor47{+}p{+}i}\left( t \right) \ \mathrm{rc47{+}resistor47{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc47{+}resistor47{+}p{+}i}\left( t \right) \mathrm{rc47{+}resistor47{+}v}\left( t \right) \ \mathrm{rc47{+}resistor47{+}v}\left( t \right) = - \mathrm{rc47{+}resistor47{+}n{+}v}\left( t \right) + \mathrm{rc47{+}resistor47{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc47{+}resistor47{+}n{+}i}\left( t \right) + \mathrm{rc47{+}resistor47{+}p{+}i}\left( t \right) \ \mathrm{rc47{+}capacitor47{+}v}\left( t \right) = - \mathrm{rc47{+}capacitor47{+}n{+}v}\left( t \right) + \mathrm{rc47{+}capacitor47{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc47{+}capacitor47{+}n{+}i}\left( t \right) + \mathrm{rc47{+}capacitor47{+}p{+}i}\left( t \right) \ \frac{drc47{+}capacitor47{+}v(t)}{dt} = \frac{\mathrm{rc47{+}capacitor47{+}p{+}i}\left( t \right)}{rc47{+}capacitor47{+}C} \ rc47{+}source{+}V = - \mathrm{rc47{+}source{+}n{+}v}\left( t \right) + \mathrm{rc47{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc47{+}source{+}n{+}i}\left( t \right) + \mathrm{rc47{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc47{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc47{+}heat{capacitor47{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc48{+}resistor48{+}RTherm}\left( t \right) = rc48{+}resistor48{+}R \left( 1 + rc48{+}resistor48{+}alpha \left( - rc48{+}resistor48{+}TAmbient + \mathrm{rc48{+}resistor48{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc48{+}resistor48{+}v}\left( t \right) = \mathrm{rc48{+}resistor48{+}RTherm}\left( t \right) \mathrm{rc48{+}resistor48{+}p{+}i}\left( t \right) \ \mathrm{rc48{+}resistor48{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc48{+}resistor48{+}p{+}i}\left( t \right) \mathrm{rc48{+}resistor48{+}v}\left( t \right) \ \mathrm{rc48{+}resistor48{+}v}\left( t \right) = - \mathrm{rc48{+}resistor48{+}n{+}v}\left( t \right) + \mathrm{rc48{+}resistor48{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc48{+}resistor48{+}n{+}i}\left( t \right) + \mathrm{rc48{+}resistor48{+}p{+}i}\left( t \right) \ \mathrm{rc48{+}capacitor48{+}v}\left( t \right) = - \mathrm{rc48{+}capacitor48{+}n{+}v}\left( t \right) + \mathrm{rc48{+}capacitor48{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc48{+}capacitor48{+}n{+}i}\left( t \right) + \mathrm{rc48{+}capacitor48{+}p{+}i}\left( t \right) \ \frac{drc48{+}capacitor48{+}v(t)}{dt} = \frac{\mathrm{rc48{+}capacitor48{+}p{+}i}\left( t \right)}{rc48{+}capacitor48{+}C} \ rc48{+}source{+}V = - \mathrm{rc48{+}source{+}n{+}v}\left( t \right) + \mathrm{rc48{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc48{+}source{+}n{+}i}\left( t \right) + \mathrm{rc48{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc48{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc48{+}heat{capacitor48{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc49{+}resistor49{+}RTherm}\left( t \right) = rc49{+}resistor49{+}R \left( 1 + rc49{+}resistor49{+}alpha \left( - rc49{+}resistor49{+}TAmbient + \mathrm{rc49{+}resistor49{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc49{+}resistor49{+}v}\left( t \right) = \mathrm{rc49{+}resistor49{+}RTherm}\left( t \right) \mathrm{rc49{+}resistor49{+}p{+}i}\left( t \right) \ \mathrm{rc49{+}resistor49{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc49{+}resistor49{+}p{+}i}\left( t \right) \mathrm{rc49{+}resistor49{+}v}\left( t \right) \ \mathrm{rc49{+}resistor49{+}v}\left( t \right) = - \mathrm{rc49{+}resistor49{+}n{+}v}\left( t \right) + \mathrm{rc49{+}resistor49{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc49{+}resistor49{+}n{+}i}\left( t \right) + \mathrm{rc49{+}resistor49{+}p{+}i}\left( t \right) \ \mathrm{rc49{+}capacitor49{+}v}\left( t \right) = - \mathrm{rc49{+}capacitor49{+}n{+}v}\left( t \right) + \mathrm{rc49{+}capacitor49{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc49{+}capacitor49{+}n{+}i}\left( t \right) + \mathrm{rc49{+}capacitor49{+}p{+}i}\left( t \right) \ \frac{drc49{+}capacitor49{+}v(t)}{dt} = \frac{\mathrm{rc49{+}capacitor49{+}p{+}i}\left( t \right)}{rc49{+}capacitor49{+}C} \ rc49{+}source{+}V = - \mathrm{rc49{+}source{+}n{+}v}\left( t \right) + \mathrm{rc49{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc49{+}source{+}n{+}i}\left( t \right) + \mathrm{rc49{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc49{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc49{+}heat{capacitor49{+}h{+}T(t)}}{dt} = \frac{\mathrm{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) \ \mathrm{rc50{+}resistor50{+}RTherm}\left( t \right) = rc50{+}resistor50{+}R \left( 1 + rc50{+}resistor50{+}alpha \left( - rc50{+}resistor50{+}TAmbient + \mathrm{rc50{+}resistor50{+}h{+}T}\left( t \right) \right) \right) \ \mathrm{rc50{+}resistor50{+}v}\left( t \right) = \mathrm{rc50{+}resistor50{+}RTherm}\left( t \right) \mathrm{rc50{+}resistor50{+}p{+}i}\left( t \right) \ \mathrm{rc50{+}resistor50{+}h{+}Q}{flow}\left( t \right) = - \mathrm{rc50{+}resistor50{+}p{+}i}\left( t \right) \mathrm{rc50{+}resistor50{+}v}\left( t \right) \ \mathrm{rc50{+}resistor50{+}v}\left( t \right) = - \mathrm{rc50{+}resistor50{+}n{+}v}\left( t \right) + \mathrm{rc50{+}resistor50{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc50{+}resistor50{+}n{+}i}\left( t \right) + \mathrm{rc50{+}resistor50{+}p{+}i}\left( t \right) \ \mathrm{rc50{+}capacitor50{+}v}\left( t \right) = - \mathrm{rc50{+}capacitor50{+}n{+}v}\left( t \right) + \mathrm{rc50{+}capacitor50{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc50{+}capacitor50{+}n{+}i}\left( t \right) + \mathrm{rc50{+}capacitor50{+}p{+}i}\left( t \right) \ \frac{drc50{+}capacitor50{+}v(t)}{dt} = \frac{\mathrm{rc50{+}capacitor50{+}p{+}i}\left( t \right)}{rc50{+}capacitor50{+}C} \ rc50{+}source{+}V = - \mathrm{rc50{+}source{+}n{+}v}\left( t \right) + \mathrm{rc50{+}source{+}p{+}v}\left( t \right) \ 0 = \mathrm{rc50{+}source{+}n{+}i}\left( t \right) + \mathrm{rc50{+}source{+}p{+}i}\left( t \right) \ \mathrm{rc50{+}ground{+}g{+}v}\left( t \right) = 0 \ \frac{drc50{+}heat{capacitor50{+}h{+}T(t)}}{dt} = \frac{\mathrm{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{dE(t)}{dt} =& - \mathrm{rc10{+}heat}{capacitor10{+}h{+}Q_flow}\left( t \right) - \mathrm{rc11{+}heat}{capacitor11{+}h{+}Q_flow}\left( t \right) - \mathrm{rc12{+}heat}{capacitor12{+}h{+}Q_flow}\left( t \right) - \mathrm{rc13{+}heat}{capacitor13{+}h{+}Q_flow}\left( t \right) - \mathrm{rc14{+}heat}{capacitor14{+}h{+}Q_flow}\left( t \right) - \mathrm{rc15{+}heat}{capacitor15{+}h{+}Q_flow}\left( t \right) - \mathrm{rc16{+}heat}{capacitor16{+}h{+}Q_flow}\left( t \right) - \mathrm{rc17{+}heat}{capacitor17{+}h{+}Q_flow}\left( t \right) - \mathrm{rc18{+}heat}{capacitor18{+}h{+}Q_flow}\left( t \right) - \mathrm{rc19{+}heat}{capacitor19{+}h{+}Q_flow}\left( t \right) - \mathrm{rc1{+}heat}{capacitor1{+}h{+}Q_flow}\left( t \right) - \mathrm{rc20{+}heat}{capacitor20{+}h{+}Q_flow}\left( t \right) - \mathrm{rc21{+}heat}{capacitor21{+}h{+}Q_flow}\left( t \right) - \mathrm{rc22{+}heat}{capacitor22{+}h{+}Q_flow}\left( t \right) - \mathrm{rc23{+}heat}{capacitor23{+}h{+}Q_flow}\left( t \right) - \mathrm{rc24{+}heat}{capacitor24{+}h{+}Q_flow}\left( t \right) - \mathrm{rc25{+}heat}{capacitor25{+}h{+}Q_flow}\left( t \right) - \mathrm{rc26{+}heat}{capacitor26{+}h{+}Q_flow}\left( t \right) - \mathrm{rc27{+}heat}{capacitor27{+}h{+}Q_flow}\left( t \right) - \mathrm{rc28{+}heat}{capacitor28{+}h{+}Q_flow}\left( t \right) - \mathrm{rc29{+}heat}{capacitor29{+}h{+}Q_flow}\left( t \right) - \mathrm{rc2{+}heat}{capacitor2{+}h{+}Q_flow}\left( t \right) - \mathrm{rc30{+}heat}{capacitor30{+}h{+}Q_flow}\left( t \right) - \mathrm{rc31{+}heat}{capacitor31{+}h{+}Q_flow}\left( t \right) - \mathrm{rc32{+}heat}{capacitor32{+}h{+}Q_flow}\left( t \right) - \mathrm{rc33{+}heat}{capacitor33{+}h{+}Q_flow}\left( t \right) - \mathrm{rc34{+}heat}{capacitor34{+}h{+}Q_flow}\left( t \right) - \mathrm{rc35{+}heat}{capacitor35{+}h{+}Q_flow}\left( t \right) - \mathrm{rc36{+}heat}{capacitor36{+}h{+}Q_flow}\left( t \right) - \mathrm{rc37{+}heat}{capacitor37{+}h{+}Q_flow}\left( t \right) - \mathrm{rc38{+}heat}{capacitor38{+}h{+}Q_flow}\left( t \right) - \mathrm{rc39{+}heat}{capacitor39{+}h{+}Q_flow}\left( t \right) - \mathrm{rc3{+}heat}{capacitor3{+}h{+}Q_flow}\left( t \right) - \mathrm{rc40{+}heat}{capacitor40{+}h{+}Q_flow}\left( t \right) - \mathrm{rc41{+}heat}{capacitor41{+}h{+}Q_flow}\left( t \right) - \mathrm{rc42{+}heat}{capacitor42{+}h{+}Q_flow}\left( t \right) - \mathrm{rc43{+}heat}{capacitor43{+}h{+}Q_flow}\left( t \right) - \mathrm{rc44{+}heat}{capacitor44{+}h{+}Q_flow}\left( t \right) - \mathrm{rc45{+}heat}{capacitor45{+}h{+}Q_flow}\left( t \right) - \mathrm{rc46{+}heat}{capacitor46{+}h{+}Q_flow}\left( t \right) - \mathrm{rc47{+}heat}{capacitor47{+}h{+}Q_flow}\left( t \right) - \mathrm{rc48{+}heat}{capacitor48{+}h{+}Q_flow}\left( t \right) - \mathrm{rc49{+}heat}{capacitor49{+}h{+}Q_flow}\left( t \right) - \mathrm{rc4{+}heat}{capacitor4{+}h{+}Q_flow}\left( t \right) - \mathrm{rc50{+}heat}{capacitor50{+}h{+}Q_flow}\left( t \right) - \mathrm{rc5{+}heat}{capacitor5{+}h{+}Q_flow}\left( t \right) - \mathrm{rc6{+}heat}{capacitor6{+}h{+}Q_flow}\left( t \right) - \mathrm{rc7{+}heat}{capacitor7{+}h{+}Q_flow}\left( t \right) - \mathrm{rc8{+}heat}{capacitor8{+}h{+}Q_flow}\left( t \right) - \mathrm{rc9{+}heat}{capacitor9{+}h{+}Q_flow}\left( t \right) \ 0 =& - \mathrm{rc1{+}resistor1{+}v}\left( t \right) + \mathrm{rc1{+}capacitor1{+}p{+}i}\left( t \right) \mathrm{rc1{+}resistor1{+}RTherm}\left( t \right) \ \frac{drc1{+}capacitor1{+}v(t)}{dt} =& \frac{\mathrm{rc1{+}capacitor1{+}p{+}i}\left( t \right)}{rc1{+}capacitor1{+}C} \ \frac{drc1{+}heat{capacitor1{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc1{+}heat}{capacitor1{+}h{+}Q_flow}\left( t \right)}{rc1{+}heat{capacitor1{+}V} rc1{+}heat{capacitor1{+}cp} rc1{+}heat{capacitor1{+}rho}} \ 0 =& - \mathrm{rc2{+}resistor2{+}v}\left( t \right) + \mathrm{rc2{+}capacitor2{+}p{+}i}\left( t \right) \mathrm{rc2{+}resistor2{+}RTherm}\left( t \right) \ \frac{drc2{+}capacitor2{+}v(t)}{dt} =& \frac{\mathrm{rc2{+}capacitor2{+}p{+}i}\left( t \right)}{rc2{+}capacitor2{+}C} \ \frac{drc2{+}heat{capacitor2{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc2{+}heat}{capacitor2{+}h{+}Q\flow}\left( t \right)}{rc2{+}heat{capacitor2{+}V} rc2{+}heat{capacitor2{+}cp} rc2{+}heat{capacitor2{+}rho}} \ 0 =& \mathrm{rc3{+}capacitor3{+}p{+}i}\left( t \right) \mathrm{rc3{+}resistor3{+}RTherm}\left( t \right) - \mathrm{rc3{+}resistor3{+}v}\left( t \right) \ \frac{drc3{+}capacitor3{+}v(t)}{dt} =& \frac{\mathrm{rc3{+}capacitor3{+}p{+}i}\left( t \right)}{rc3{+}capacitor3{+}C} \ \frac{drc3{+}heat{capacitor3{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc3{+}heat}{capacitor3{+}h{+}Q\flow}\left( t \right)}{rc3{+}heat{capacitor3{+}V} rc3{+}heat{capacitor3{+}cp} rc3{+}heat{capacitor3{+}rho}} \ 0 =& \mathrm{rc4{+}capacitor4{+}p{+}i}\left( t \right) \mathrm{rc4{+}resistor4{+}RTherm}\left( t \right) - \mathrm{rc4{+}resistor4{+}v}\left( t \right) \ \frac{drc4{+}capacitor4{+}v(t)}{dt} =& \frac{\mathrm{rc4{+}capacitor4{+}p{+}i}\left( t \right)}{rc4{+}capacitor4{+}C} \ \frac{drc4{+}heat{capacitor4{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc4{+}heat}{capacitor4{+}h{+}Q\flow}\left( t \right)}{rc4{+}heat{capacitor4{+}V} rc4{+}heat{capacitor4{+}cp} rc4{+}heat{capacitor4{+}rho}} \ 0 =& \mathrm{rc5{+}capacitor5{+}p{+}i}\left( t \right) \mathrm{rc5{+}resistor5{+}RTherm}\left( t \right) - \mathrm{rc5{+}resistor5{+}v}\left( t \right) \ \frac{drc5{+}capacitor5{+}v(t)}{dt} =& \frac{\mathrm{rc5{+}capacitor5{+}p{+}i}\left( t \right)}{rc5{+}capacitor5{+}C} \ \frac{drc5{+}heat{capacitor5{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc5{+}heat}{capacitor5{+}h{+}Q\flow}\left( t \right)}{rc5{+}heat{capacitor5{+}V} rc5{+}heat{capacitor5{+}cp} rc5{+}heat{capacitor5{+}rho}} \ 0 =& \mathrm{rc6{+}capacitor6{+}p{+}i}\left( t \right) \mathrm{rc6{+}resistor6{+}RTherm}\left( t \right) - \mathrm{rc6{+}resistor6{+}v}\left( t \right) \ \frac{drc6{+}capacitor6{+}v(t)}{dt} =& \frac{\mathrm{rc6{+}capacitor6{+}p{+}i}\left( t \right)}{rc6{+}capacitor6{+}C} \ \frac{drc6{+}heat{capacitor6{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc6{+}heat}{capacitor6{+}h{+}Q\flow}\left( t \right)}{rc6{+}heat{capacitor6{+}V} rc6{+}heat{capacitor6{+}cp} rc6{+}heat{capacitor6{+}rho}} \ 0 =& - \mathrm{rc7{+}resistor7{+}v}\left( t \right) + \mathrm{rc7{+}capacitor7{+}p{+}i}\left( t \right) \mathrm{rc7{+}resistor7{+}RTherm}\left( t \right) \ \frac{drc7{+}capacitor7{+}v(t)}{dt} =& \frac{\mathrm{rc7{+}capacitor7{+}p{+}i}\left( t \right)}{rc7{+}capacitor7{+}C} \ \frac{drc7{+}heat{capacitor7{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc7{+}heat}{capacitor7{+}h{+}Q\flow}\left( t \right)}{rc7{+}heat{capacitor7{+}V} rc7{+}heat{capacitor7{+}cp} rc7{+}heat{capacitor7{+}rho}} \ 0 =& - \mathrm{rc8{+}resistor8{+}v}\left( t \right) + \mathrm{rc8{+}capacitor8{+}p{+}i}\left( t \right) \mathrm{rc8{+}resistor8{+}RTherm}\left( t \right) \ \frac{drc8{+}capacitor8{+}v(t)}{dt} =& \frac{\mathrm{rc8{+}capacitor8{+}p{+}i}\left( t \right)}{rc8{+}capacitor8{+}C} \ \frac{drc8{+}heat{capacitor8{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc8{+}heat}{capacitor8{+}h{+}Q\flow}\left( t \right)}{rc8{+}heat{capacitor8{+}V} rc8{+}heat{capacitor8{+}cp} rc8{+}heat{capacitor8{+}rho}} \ 0 =& \mathrm{rc9{+}capacitor9{+}p{+}i}\left( t \right) \mathrm{rc9{+}resistor9{+}RTherm}\left( t \right) - \mathrm{rc9{+}resistor9{+}v}\left( t \right) \ \frac{drc9{+}capacitor9{+}v(t)}{dt} =& \frac{\mathrm{rc9{+}capacitor9{+}p{+}i}\left( t \right)}{rc9{+}capacitor9{+}C} \ \frac{drc9{+}heat{capacitor9{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc9{+}heat}{capacitor9{+}h{+}Q\flow}\left( t \right)}{rc9{+}heat{capacitor9{+}V} rc9{+}heat{capacitor9{+}cp} rc9{+}heat{capacitor9{+}rho}} \ 0 =& - \mathrm{rc10{+}resistor10{+}v}\left( t \right) + \mathrm{rc10{+}capacitor10{+}p{+}i}\left( t \right) \mathrm{rc10{+}resistor10{+}RTherm}\left( t \right) \ \frac{drc10{+}capacitor10{+}v(t)}{dt} =& \frac{\mathrm{rc10{+}capacitor10{+}p{+}i}\left( t \right)}{rc10{+}capacitor10{+}C} \ \frac{drc10{+}heat{capacitor10{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc10{+}heat}{capacitor10{+}h{+}Q\flow}\left( t \right)}{rc10{+}heat{capacitor10{+}V} rc10{+}heat{capacitor10{+}cp} rc10{+}heat{capacitor10{+}rho}} \ 0 =& - \mathrm{rc11{+}resistor11{+}v}\left( t \right) + \mathrm{rc11{+}capacitor11{+}p{+}i}\left( t \right) \mathrm{rc11{+}resistor11{+}RTherm}\left( t \right) \ \frac{drc11{+}capacitor11{+}v(t)}{dt} =& \frac{\mathrm{rc11{+}capacitor11{+}p{+}i}\left( t \right)}{rc11{+}capacitor11{+}C} \ \frac{drc11{+}heat{capacitor11{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc11{+}heat}{capacitor11{+}h{+}Q\flow}\left( t \right)}{rc11{+}heat{capacitor11{+}V} rc11{+}heat{capacitor11{+}cp} rc11{+}heat{capacitor11{+}rho}} \ 0 =& - \mathrm{rc12{+}resistor12{+}v}\left( t \right) + \mathrm{rc12{+}capacitor12{+}p{+}i}\left( t \right) \mathrm{rc12{+}resistor12{+}RTherm}\left( t \right) \ \frac{drc12{+}capacitor12{+}v(t)}{dt} =& \frac{\mathrm{rc12{+}capacitor12{+}p{+}i}\left( t \right)}{rc12{+}capacitor12{+}C} \ \frac{drc12{+}heat{capacitor12{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc12{+}heat}{capacitor12{+}h{+}Q\flow}\left( t \right)}{rc12{+}heat{capacitor12{+}V} rc12{+}heat{capacitor12{+}cp} rc12{+}heat{capacitor12{+}rho}} \ 0 =& - \mathrm{rc13{+}resistor13{+}v}\left( t \right) + \mathrm{rc13{+}capacitor13{+}p{+}i}\left( t \right) \mathrm{rc13{+}resistor13{+}RTherm}\left( t \right) \ \frac{drc13{+}capacitor13{+}v(t)}{dt} =& \frac{\mathrm{rc13{+}capacitor13{+}p{+}i}\left( t \right)}{rc13{+}capacitor13{+}C} \ \frac{drc13{+}heat{capacitor13{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc13{+}heat}{capacitor13{+}h{+}Q\flow}\left( t \right)}{rc13{+}heat{capacitor13{+}V} rc13{+}heat{capacitor13{+}cp} rc13{+}heat{capacitor13{+}rho}} \ 0 =& - \mathrm{rc14{+}resistor14{+}v}\left( t \right) + \mathrm{rc14{+}capacitor14{+}p{+}i}\left( t \right) \mathrm{rc14{+}resistor14{+}RTherm}\left( t \right) \ \frac{drc14{+}capacitor14{+}v(t)}{dt} =& \frac{\mathrm{rc14{+}capacitor14{+}p{+}i}\left( t \right)}{rc14{+}capacitor14{+}C} \ \frac{drc14{+}heat{capacitor14{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc14{+}heat}{capacitor14{+}h{+}Q\flow}\left( t \right)}{rc14{+}heat{capacitor14{+}V} rc14{+}heat{capacitor14{+}cp} rc14{+}heat{capacitor14{+}rho}} \ 0 =& - \mathrm{rc15{+}resistor15{+}v}\left( t \right) + \mathrm{rc15{+}capacitor15{+}p{+}i}\left( t \right) \mathrm{rc15{+}resistor15{+}RTherm}\left( t \right) \ \frac{drc15{+}capacitor15{+}v(t)}{dt} =& \frac{\mathrm{rc15{+}capacitor15{+}p{+}i}\left( t \right)}{rc15{+}capacitor15{+}C} \ \frac{drc15{+}heat{capacitor15{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc15{+}heat}{capacitor15{+}h{+}Q\flow}\left( t \right)}{rc15{+}heat{capacitor15{+}V} rc15{+}heat{capacitor15{+}cp} rc15{+}heat{capacitor15{+}rho}} \ 0 =& \mathrm{rc16{+}capacitor16{+}p{+}i}\left( t \right) \mathrm{rc16{+}resistor16{+}RTherm}\left( t \right) - \mathrm{rc16{+}resistor16{+}v}\left( t \right) \ \frac{drc16{+}capacitor16{+}v(t)}{dt} =& \frac{\mathrm{rc16{+}capacitor16{+}p{+}i}\left( t \right)}{rc16{+}capacitor16{+}C} \ \frac{drc16{+}heat{capacitor16{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc16{+}heat}{capacitor16{+}h{+}Q\flow}\left( t \right)}{rc16{+}heat{capacitor16{+}V} rc16{+}heat{capacitor16{+}cp} rc16{+}heat{capacitor16{+}rho}} \ 0 =& - \mathrm{rc17{+}resistor17{+}v}\left( t \right) + \mathrm{rc17{+}capacitor17{+}p{+}i}\left( t \right) \mathrm{rc17{+}resistor17{+}RTherm}\left( t \right) \ \frac{drc17{+}capacitor17{+}v(t)}{dt} =& \frac{\mathrm{rc17{+}capacitor17{+}p{+}i}\left( t \right)}{rc17{+}capacitor17{+}C} \ \frac{drc17{+}heat{capacitor17{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc17{+}heat}{capacitor17{+}h{+}Q\flow}\left( t \right)}{rc17{+}heat{capacitor17{+}V} rc17{+}heat{capacitor17{+}cp} rc17{+}heat{capacitor17{+}rho}} \ 0 =& - \mathrm{rc18{+}resistor18{+}v}\left( t \right) + \mathrm{rc18{+}capacitor18{+}p{+}i}\left( t \right) \mathrm{rc18{+}resistor18{+}RTherm}\left( t \right) \ \frac{drc18{+}capacitor18{+}v(t)}{dt} =& \frac{\mathrm{rc18{+}capacitor18{+}p{+}i}\left( t \right)}{rc18{+}capacitor18{+}C} \ \frac{drc18{+}heat{capacitor18{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc18{+}heat}{capacitor18{+}h{+}Q\flow}\left( t \right)}{rc18{+}heat{capacitor18{+}V} rc18{+}heat{capacitor18{+}cp} rc18{+}heat{capacitor18{+}rho}} \ 0 =& - \mathrm{rc19{+}resistor19{+}v}\left( t \right) + \mathrm{rc19{+}capacitor19{+}p{+}i}\left( t \right) \mathrm{rc19{+}resistor19{+}RTherm}\left( t \right) \ \frac{drc19{+}capacitor19{+}v(t)}{dt} =& \frac{\mathrm{rc19{+}capacitor19{+}p{+}i}\left( t \right)}{rc19{+}capacitor19{+}C} \ \frac{drc19{+}heat{capacitor19{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc19{+}heat}{capacitor19{+}h{+}Q\flow}\left( t \right)}{rc19{+}heat{capacitor19{+}V} rc19{+}heat{capacitor19{+}cp} rc19{+}heat{capacitor19{+}rho}} \ 0 =& \mathrm{rc20{+}capacitor20{+}p{+}i}\left( t \right) \mathrm{rc20{+}resistor20{+}RTherm}\left( t \right) - \mathrm{rc20{+}resistor20{+}v}\left( t \right) \ \frac{drc20{+}capacitor20{+}v(t)}{dt} =& \frac{\mathrm{rc20{+}capacitor20{+}p{+}i}\left( t \right)}{rc20{+}capacitor20{+}C} \ \frac{drc20{+}heat{capacitor20{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc20{+}heat}{capacitor20{+}h{+}Q\flow}\left( t \right)}{rc20{+}heat{capacitor20{+}V} rc20{+}heat{capacitor20{+}cp} rc20{+}heat{capacitor20{+}rho}} \ 0 =& - \mathrm{rc21{+}resistor21{+}v}\left( t \right) + \mathrm{rc21{+}capacitor21{+}p{+}i}\left( t \right) \mathrm{rc21{+}resistor21{+}RTherm}\left( t \right) \ \frac{drc21{+}capacitor21{+}v(t)}{dt} =& \frac{\mathrm{rc21{+}capacitor21{+}p{+}i}\left( t \right)}{rc21{+}capacitor21{+}C} \ \frac{drc21{+}heat{capacitor21{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc21{+}heat}{capacitor21{+}h{+}Q\flow}\left( t \right)}{rc21{+}heat{capacitor21{+}V} rc21{+}heat{capacitor21{+}cp} rc21{+}heat{capacitor21{+}rho}} \ 0 =& \mathrm{rc22{+}capacitor22{+}p{+}i}\left( t \right) \mathrm{rc22{+}resistor22{+}RTherm}\left( t \right) - \mathrm{rc22{+}resistor22{+}v}\left( t \right) \ \frac{drc22{+}capacitor22{+}v(t)}{dt} =& \frac{\mathrm{rc22{+}capacitor22{+}p{+}i}\left( t \right)}{rc22{+}capacitor22{+}C} \ \frac{drc22{+}heat{capacitor22{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc22{+}heat}{capacitor22{+}h{+}Q\flow}\left( t \right)}{rc22{+}heat{capacitor22{+}V} rc22{+}heat{capacitor22{+}cp} rc22{+}heat{capacitor22{+}rho}} \ 0 =& \mathrm{rc23{+}capacitor23{+}p{+}i}\left( t \right) \mathrm{rc23{+}resistor23{+}RTherm}\left( t \right) - \mathrm{rc23{+}resistor23{+}v}\left( t \right) \ \frac{drc23{+}capacitor23{+}v(t)}{dt} =& \frac{\mathrm{rc23{+}capacitor23{+}p{+}i}\left( t \right)}{rc23{+}capacitor23{+}C} \ \frac{drc23{+}heat{capacitor23{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc23{+}heat}{capacitor23{+}h{+}Q\flow}\left( t \right)}{rc23{+}heat{capacitor23{+}V} rc23{+}heat{capacitor23{+}cp} rc23{+}heat{capacitor23{+}rho}} \ 0 =& - \mathrm{rc24{+}resistor24{+}v}\left( t \right) + \mathrm{rc24{+}capacitor24{+}p{+}i}\left( t \right) \mathrm{rc24{+}resistor24{+}RTherm}\left( t \right) \ \frac{drc24{+}capacitor24{+}v(t)}{dt} =& \frac{\mathrm{rc24{+}capacitor24{+}p{+}i}\left( t \right)}{rc24{+}capacitor24{+}C} \ \frac{drc24{+}heat{capacitor24{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc24{+}heat}{capacitor24{+}h{+}Q\flow}\left( t \right)}{rc24{+}heat{capacitor24{+}V} rc24{+}heat{capacitor24{+}cp} rc24{+}heat{capacitor24{+}rho}} \ 0 =& \mathrm{rc25{+}capacitor25{+}p{+}i}\left( t \right) \mathrm{rc25{+}resistor25{+}RTherm}\left( t \right) - \mathrm{rc25{+}resistor25{+}v}\left( t \right) \ \frac{drc25{+}capacitor25{+}v(t)}{dt} =& \frac{\mathrm{rc25{+}capacitor25{+}p{+}i}\left( t \right)}{rc25{+}capacitor25{+}C} \ \frac{drc25{+}heat{capacitor25{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc25{+}heat}{capacitor25{+}h{+}Q\flow}\left( t \right)}{rc25{+}heat{capacitor25{+}V} rc25{+}heat{capacitor25{+}cp} rc25{+}heat{capacitor25{+}rho}} \ 0 =& - \mathrm{rc26{+}resistor26{+}v}\left( t \right) + \mathrm{rc26{+}capacitor26{+}p{+}i}\left( t \right) \mathrm{rc26{+}resistor26{+}RTherm}\left( t \right) \ \frac{drc26{+}capacitor26{+}v(t)}{dt} =& \frac{\mathrm{rc26{+}capacitor26{+}p{+}i}\left( t \right)}{rc26{+}capacitor26{+}C} \ \frac{drc26{+}heat{capacitor26{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc26{+}heat}{capacitor26{+}h{+}Q\flow}\left( t \right)}{rc26{+}heat{capacitor26{+}V} rc26{+}heat{capacitor26{+}cp} rc26{+}heat{capacitor26{+}rho}} \ 0 =& \mathrm{rc27{+}capacitor27{+}p{+}i}\left( t \right) \mathrm{rc27{+}resistor27{+}RTherm}\left( t \right) - \mathrm{rc27{+}resistor27{+}v}\left( t \right) \ \frac{drc27{+}capacitor27{+}v(t)}{dt} =& \frac{\mathrm{rc27{+}capacitor27{+}p{+}i}\left( t \right)}{rc27{+}capacitor27{+}C} \ \frac{drc27{+}heat{capacitor27{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc27{+}heat}{capacitor27{+}h{+}Q\flow}\left( t \right)}{rc27{+}heat{capacitor27{+}V} rc27{+}heat{capacitor27{+}cp} rc27{+}heat{capacitor27{+}rho}} \ 0 =& \mathrm{rc28{+}capacitor28{+}p{+}i}\left( t \right) \mathrm{rc28{+}resistor28{+}RTherm}\left( t \right) - \mathrm{rc28{+}resistor28{+}v}\left( t \right) \ \frac{drc28{+}capacitor28{+}v(t)}{dt} =& \frac{\mathrm{rc28{+}capacitor28{+}p{+}i}\left( t \right)}{rc28{+}capacitor28{+}C} \ \frac{drc28{+}heat{capacitor28{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc28{+}heat}{capacitor28{+}h{+}Q\flow}\left( t \right)}{rc28{+}heat{capacitor28{+}V} rc28{+}heat{capacitor28{+}cp} rc28{+}heat{capacitor28{+}rho}} \ 0 =& \mathrm{rc29{+}capacitor29{+}p{+}i}\left( t \right) \mathrm{rc29{+}resistor29{+}RTherm}\left( t \right) - \mathrm{rc29{+}resistor29{+}v}\left( t \right) \ \frac{drc29{+}capacitor29{+}v(t)}{dt} =& \frac{\mathrm{rc29{+}capacitor29{+}p{+}i}\left( t \right)}{rc29{+}capacitor29{+}C} \ \frac{drc29{+}heat{capacitor29{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc29{+}heat}{capacitor29{+}h{+}Q\flow}\left( t \right)}{rc29{+}heat{capacitor29{+}V} rc29{+}heat{capacitor29{+}cp} rc29{+}heat{capacitor29{+}rho}} \ 0 =& - \mathrm{rc30{+}resistor30{+}v}\left( t \right) + \mathrm{rc30{+}capacitor30{+}p{+}i}\left( t \right) \mathrm{rc30{+}resistor30{+}RTherm}\left( t \right) \ \frac{drc30{+}capacitor30{+}v(t)}{dt} =& \frac{\mathrm{rc30{+}capacitor30{+}p{+}i}\left( t \right)}{rc30{+}capacitor30{+}C} \ \frac{drc30{+}heat{capacitor30{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc30{+}heat}{capacitor30{+}h{+}Q\flow}\left( t \right)}{rc30{+}heat{capacitor30{+}V} rc30{+}heat{capacitor30{+}cp} rc30{+}heat{capacitor30{+}rho}} \ 0 =& - \mathrm{rc31{+}resistor31{+}v}\left( t \right) + \mathrm{rc31{+}capacitor31{+}p{+}i}\left( t \right) \mathrm{rc31{+}resistor31{+}RTherm}\left( t \right) \ \frac{drc31{+}capacitor31{+}v(t)}{dt} =& \frac{\mathrm{rc31{+}capacitor31{+}p{+}i}\left( t \right)}{rc31{+}capacitor31{+}C} \ \frac{drc31{+}heat{capacitor31{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc31{+}heat}{capacitor31{+}h{+}Q\flow}\left( t \right)}{rc31{+}heat{capacitor31{+}V} rc31{+}heat{capacitor31{+}cp} rc31{+}heat{capacitor31{+}rho}} \ 0 =& - \mathrm{rc32{+}resistor32{+}v}\left( t \right) + \mathrm{rc32{+}capacitor32{+}p{+}i}\left( t \right) \mathrm{rc32{+}resistor32{+}RTherm}\left( t \right) \ \frac{drc32{+}capacitor32{+}v(t)}{dt} =& \frac{\mathrm{rc32{+}capacitor32{+}p{+}i}\left( t \right)}{rc32{+}capacitor32{+}C} \ \frac{drc32{+}heat{capacitor32{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc32{+}heat}{capacitor32{+}h{+}Q\flow}\left( t \right)}{rc32{+}heat{capacitor32{+}V} rc32{+}heat{capacitor32{+}cp} rc32{+}heat{capacitor32{+}rho}} \ 0 =& - \mathrm{rc33{+}resistor33{+}v}\left( t \right) + \mathrm{rc33{+}capacitor33{+}p{+}i}\left( t \right) \mathrm{rc33{+}resistor33{+}RTherm}\left( t \right) \ \frac{drc33{+}capacitor33{+}v(t)}{dt} =& \frac{\mathrm{rc33{+}capacitor33{+}p{+}i}\left( t \right)}{rc33{+}capacitor33{+}C} \ \frac{drc33{+}heat{capacitor33{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc33{+}heat}{capacitor33{+}h{+}Q\flow}\left( t \right)}{rc33{+}heat{capacitor33{+}V} rc33{+}heat{capacitor33{+}cp} rc33{+}heat{capacitor33{+}rho}} \ 0 =& - \mathrm{rc34{+}resistor34{+}v}\left( t \right) + \mathrm{rc34{+}capacitor34{+}p{+}i}\left( t \right) \mathrm{rc34{+}resistor34{+}RTherm}\left( t \right) \ \frac{drc34{+}capacitor34{+}v(t)}{dt} =& \frac{\mathrm{rc34{+}capacitor34{+}p{+}i}\left( t \right)}{rc34{+}capacitor34{+}C} \ \frac{drc34{+}heat{capacitor34{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc34{+}heat}{capacitor34{+}h{+}Q\flow}\left( t \right)}{rc34{+}heat{capacitor34{+}V} rc34{+}heat{capacitor34{+}cp} rc34{+}heat{capacitor34{+}rho}} \ 0 =& - \mathrm{rc35{+}resistor35{+}v}\left( t \right) + \mathrm{rc35{+}capacitor35{+}p{+}i}\left( t \right) \mathrm{rc35{+}resistor35{+}RTherm}\left( t \right) \ \frac{drc35{+}capacitor35{+}v(t)}{dt} =& \frac{\mathrm{rc35{+}capacitor35{+}p{+}i}\left( t \right)}{rc35{+}capacitor35{+}C} \ \frac{drc35{+}heat{capacitor35{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc35{+}heat}{capacitor35{+}h{+}Q\flow}\left( t \right)}{rc35{+}heat{capacitor35{+}V} rc35{+}heat{capacitor35{+}cp} rc35{+}heat{capacitor35{+}rho}} \ 0 =& - \mathrm{rc36{+}resistor36{+}v}\left( t \right) + \mathrm{rc36{+}capacitor36{+}p{+}i}\left( t \right) \mathrm{rc36{+}resistor36{+}RTherm}\left( t \right) \ \frac{drc36{+}capacitor36{+}v(t)}{dt} =& \frac{\mathrm{rc36{+}capacitor36{+}p{+}i}\left( t \right)}{rc36{+}capacitor36{+}C} \ \frac{drc36{+}heat{capacitor36{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc36{+}heat}{capacitor36{+}h{+}Q\flow}\left( t \right)}{rc36{+}heat{capacitor36{+}V} rc36{+}heat{capacitor36{+}cp} rc36{+}heat{capacitor36{+}rho}} \ 0 =& \mathrm{rc37{+}capacitor37{+}p{+}i}\left( t \right) \mathrm{rc37{+}resistor37{+}RTherm}\left( t \right) - \mathrm{rc37{+}resistor37{+}v}\left( t \right) \ \frac{drc37{+}capacitor37{+}v(t)}{dt} =& \frac{\mathrm{rc37{+}capacitor37{+}p{+}i}\left( t \right)}{rc37{+}capacitor37{+}C} \ \frac{drc37{+}heat{capacitor37{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc37{+}heat}{capacitor37{+}h{+}Q\flow}\left( t \right)}{rc37{+}heat{capacitor37{+}V} rc37{+}heat{capacitor37{+}cp} rc37{+}heat{capacitor37{+}rho}} \ 0 =& \mathrm{rc38{+}capacitor38{+}p{+}i}\left( t \right) \mathrm{rc38{+}resistor38{+}RTherm}\left( t \right) - \mathrm{rc38{+}resistor38{+}v}\left( t \right) \ \frac{drc38{+}capacitor38{+}v(t)}{dt} =& \frac{\mathrm{rc38{+}capacitor38{+}p{+}i}\left( t \right)}{rc38{+}capacitor38{+}C} \ \frac{drc38{+}heat{capacitor38{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc38{+}heat}{capacitor38{+}h{+}Q\flow}\left( t \right)}{rc38{+}heat{capacitor38{+}V} rc38{+}heat{capacitor38{+}cp} rc38{+}heat{capacitor38{+}rho}} \ 0 =& \mathrm{rc39{+}capacitor39{+}p{+}i}\left( t \right) \mathrm{rc39{+}resistor39{+}RTherm}\left( t \right) - \mathrm{rc39{+}resistor39{+}v}\left( t \right) \ \frac{drc39{+}capacitor39{+}v(t)}{dt} =& \frac{\mathrm{rc39{+}capacitor39{+}p{+}i}\left( t \right)}{rc39{+}capacitor39{+}C} \ \frac{drc39{+}heat{capacitor39{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc39{+}heat}{capacitor39{+}h{+}Q\flow}\left( t \right)}{rc39{+}heat{capacitor39{+}V} rc39{+}heat{capacitor39{+}cp} rc39{+}heat{capacitor39{+}rho}} \ 0 =& \mathrm{rc40{+}capacitor40{+}p{+}i}\left( t \right) \mathrm{rc40{+}resistor40{+}RTherm}\left( t \right) - \mathrm{rc40{+}resistor40{+}v}\left( t \right) \ \frac{drc40{+}capacitor40{+}v(t)}{dt} =& \frac{\mathrm{rc40{+}capacitor40{+}p{+}i}\left( t \right)}{rc40{+}capacitor40{+}C} \ \frac{drc40{+}heat{capacitor40{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc40{+}heat}{capacitor40{+}h{+}Q\flow}\left( t \right)}{rc40{+}heat{capacitor40{+}V} rc40{+}heat{capacitor40{+}cp} rc40{+}heat{capacitor40{+}rho}} \ 0 =& - \mathrm{rc41{+}resistor41{+}v}\left( t \right) + \mathrm{rc41{+}capacitor41{+}p{+}i}\left( t \right) \mathrm{rc41{+}resistor41{+}RTherm}\left( t \right) \ \frac{drc41{+}capacitor41{+}v(t)}{dt} =& \frac{\mathrm{rc41{+}capacitor41{+}p{+}i}\left( t \right)}{rc41{+}capacitor41{+}C} \ \frac{drc41{+}heat{capacitor41{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc41{+}heat}{capacitor41{+}h{+}Q\flow}\left( t \right)}{rc41{+}heat{capacitor41{+}V} rc41{+}heat{capacitor41{+}cp} rc41{+}heat{capacitor41{+}rho}} \ 0 =& \mathrm{rc42{+}capacitor42{+}p{+}i}\left( t \right) \mathrm{rc42{+}resistor42{+}RTherm}\left( t \right) - \mathrm{rc42{+}resistor42{+}v}\left( t \right) \ \frac{drc42{+}capacitor42{+}v(t)}{dt} =& \frac{\mathrm{rc42{+}capacitor42{+}p{+}i}\left( t \right)}{rc42{+}capacitor42{+}C} \ \frac{drc42{+}heat{capacitor42{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc42{+}heat}{capacitor42{+}h{+}Q\flow}\left( t \right)}{rc42{+}heat{capacitor42{+}V} rc42{+}heat{capacitor42{+}cp} rc42{+}heat{capacitor42{+}rho}} \ 0 =& - \mathrm{rc43{+}resistor43{+}v}\left( t \right) + \mathrm{rc43{+}capacitor43{+}p{+}i}\left( t \right) \mathrm{rc43{+}resistor43{+}RTherm}\left( t \right) \ \frac{drc43{+}capacitor43{+}v(t)}{dt} =& \frac{\mathrm{rc43{+}capacitor43{+}p{+}i}\left( t \right)}{rc43{+}capacitor43{+}C} \ \frac{drc43{+}heat{capacitor43{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc43{+}heat}{capacitor43{+}h{+}Q\flow}\left( t \right)}{rc43{+}heat{capacitor43{+}V} rc43{+}heat{capacitor43{+}cp} rc43{+}heat{capacitor43{+}rho}} \ 0 =& \mathrm{rc44{+}capacitor44{+}p{+}i}\left( t \right) \mathrm{rc44{+}resistor44{+}RTherm}\left( t \right) - \mathrm{rc44{+}resistor44{+}v}\left( t \right) \ \frac{drc44{+}capacitor44{+}v(t)}{dt} =& \frac{\mathrm{rc44{+}capacitor44{+}p{+}i}\left( t \right)}{rc44{+}capacitor44{+}C} \ \frac{drc44{+}heat{capacitor44{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc44{+}heat}{capacitor44{+}h{+}Q\flow}\left( t \right)}{rc44{+}heat{capacitor44{+}V} rc44{+}heat{capacitor44{+}cp} rc44{+}heat{capacitor44{+}rho}} \ 0 =& \mathrm{rc45{+}capacitor45{+}p{+}i}\left( t \right) \mathrm{rc45{+}resistor45{+}RTherm}\left( t \right) - \mathrm{rc45{+}resistor45{+}v}\left( t \right) \ \frac{drc45{+}capacitor45{+}v(t)}{dt} =& \frac{\mathrm{rc45{+}capacitor45{+}p{+}i}\left( t \right)}{rc45{+}capacitor45{+}C} \ \frac{drc45{+}heat{capacitor45{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc45{+}heat}{capacitor45{+}h{+}Q\flow}\left( t \right)}{rc45{+}heat{capacitor45{+}V} rc45{+}heat{capacitor45{+}cp} rc45{+}heat{capacitor45{+}rho}} \ 0 =& - \mathrm{rc46{+}resistor46{+}v}\left( t \right) + \mathrm{rc46{+}capacitor46{+}p{+}i}\left( t \right) \mathrm{rc46{+}resistor46{+}RTherm}\left( t \right) \ \frac{drc46{+}capacitor46{+}v(t)}{dt} =& \frac{\mathrm{rc46{+}capacitor46{+}p{+}i}\left( t \right)}{rc46{+}capacitor46{+}C} \ \frac{drc46{+}heat{capacitor46{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc46{+}heat}{capacitor46{+}h{+}Q\flow}\left( t \right)}{rc46{+}heat{capacitor46{+}V} rc46{+}heat{capacitor46{+}cp} rc46{+}heat{capacitor46{+}rho}} \ 0 =& - \mathrm{rc47{+}resistor47{+}v}\left( t \right) + \mathrm{rc47{+}capacitor47{+}p{+}i}\left( t \right) \mathrm{rc47{+}resistor47{+}RTherm}\left( t \right) \ \frac{drc47{+}capacitor47{+}v(t)}{dt} =& \frac{\mathrm{rc47{+}capacitor47{+}p{+}i}\left( t \right)}{rc47{+}capacitor47{+}C} \ \frac{drc47{+}heat{capacitor47{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc47{+}heat}{capacitor47{+}h{+}Q\flow}\left( t \right)}{rc47{+}heat{capacitor47{+}V} rc47{+}heat{capacitor47{+}cp} rc47{+}heat{capacitor47{+}rho}} \ 0 =& \mathrm{rc48{+}capacitor48{+}p{+}i}\left( t \right) \mathrm{rc48{+}resistor48{+}RTherm}\left( t \right) - \mathrm{rc48{+}resistor48{+}v}\left( t \right) \ \frac{drc48{+}capacitor48{+}v(t)}{dt} =& \frac{\mathrm{rc48{+}capacitor48{+}p{+}i}\left( t \right)}{rc48{+}capacitor48{+}C} \ \frac{drc48{+}heat{capacitor48{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc48{+}heat}{capacitor48{+}h{+}Q\flow}\left( t \right)}{rc48{+}heat{capacitor48{+}V} rc48{+}heat{capacitor48{+}cp} rc48{+}heat{capacitor48{+}rho}} \ 0 =& \mathrm{rc49{+}capacitor49{+}p{+}i}\left( t \right) \mathrm{rc49{+}resistor49{+}RTherm}\left( t \right) - \mathrm{rc49{+}resistor49{+}v}\left( t \right) \ \frac{drc49{+}capacitor49{+}v(t)}{dt} =& \frac{\mathrm{rc49{+}capacitor49{+}p{+}i}\left( t \right)}{rc49{+}capacitor49{+}C} \ \frac{drc49{+}heat{capacitor49{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc49{+}heat}{capacitor49{+}h{+}Q\flow}\left( t \right)}{rc49{+}heat{capacitor49{+}V} rc49{+}heat{capacitor49{+}cp} rc49{+}heat{capacitor49{+}rho}} \ 0 =& - \mathrm{rc50{+}resistor50{+}v}\left( t \right) + \mathrm{rc50{+}capacitor50{+}p{+}i}\left( t \right) \mathrm{rc50{+}resistor50{+}RTherm}\left( t \right) \ \frac{drc50{+}capacitor50{+}v(t)}{dt} =& \frac{\mathrm{rc50{+}capacitor50{+}p{+}i}\left( t \right)}{rc50{+}capacitor50{+}C} \ \frac{drc50{+}heat{capacitor50{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc50{+}heat}{capacitor50{+}h{+}Q\flow}\left( t \right)}{rc50{+}heat{capacitor50{+}V} rc50{+}heat{capacitor50{+}cp} rc50{+}heat{capacitor50_{+}rho}} \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{dE(t)}{dt} =& - \mathrm{rc10{+}heat}{capacitor10{+}h{+}Q_flow}\left( t \right) - \mathrm{rc11{+}heat}{capacitor11{+}h{+}Q_flow}\left( t \right) - \mathrm{rc12{+}heat}{capacitor12{+}h{+}Q_flow}\left( t \right) - \mathrm{rc13{+}heat}{capacitor13{+}h{+}Q_flow}\left( t \right) - \mathrm{rc14{+}heat}{capacitor14{+}h{+}Q_flow}\left( t \right) - \mathrm{rc15{+}heat}{capacitor15{+}h{+}Q_flow}\left( t \right) - \mathrm{rc16{+}heat}{capacitor16{+}h{+}Q_flow}\left( t \right) - \mathrm{rc17{+}heat}{capacitor17{+}h{+}Q_flow}\left( t \right) - \mathrm{rc18{+}heat}{capacitor18{+}h{+}Q_flow}\left( t \right) - \mathrm{rc19{+}heat}{capacitor19{+}h{+}Q_flow}\left( t \right) - \mathrm{rc1{+}heat}{capacitor1{+}h{+}Q_flow}\left( t \right) - \mathrm{rc20{+}heat}{capacitor20{+}h{+}Q_flow}\left( t \right) - \mathrm{rc21{+}heat}{capacitor21{+}h{+}Q_flow}\left( t \right) - \mathrm{rc22{+}heat}{capacitor22{+}h{+}Q_flow}\left( t \right) - \mathrm{rc23{+}heat}{capacitor23{+}h{+}Q_flow}\left( t \right) - \mathrm{rc24{+}heat}{capacitor24{+}h{+}Q_flow}\left( t \right) - \mathrm{rc25{+}heat}{capacitor25{+}h{+}Q_flow}\left( t \right) - \mathrm{rc26{+}heat}{capacitor26{+}h{+}Q_flow}\left( t \right) - \mathrm{rc27{+}heat}{capacitor27{+}h{+}Q_flow}\left( t \right) - \mathrm{rc28{+}heat}{capacitor28{+}h{+}Q_flow}\left( t \right) - \mathrm{rc29{+}heat}{capacitor29{+}h{+}Q_flow}\left( t \right) - \mathrm{rc2{+}heat}{capacitor2{+}h{+}Q_flow}\left( t \right) - \mathrm{rc30{+}heat}{capacitor30{+}h{+}Q_flow}\left( t \right) - \mathrm{rc31{+}heat}{capacitor31{+}h{+}Q_flow}\left( t \right) - \mathrm{rc32{+}heat}{capacitor32{+}h{+}Q_flow}\left( t \right) - \mathrm{rc33{+}heat}{capacitor33{+}h{+}Q_flow}\left( t \right) - \mathrm{rc34{+}heat}{capacitor34{+}h{+}Q_flow}\left( t \right) - \mathrm{rc35{+}heat}{capacitor35{+}h{+}Q_flow}\left( t \right) - \mathrm{rc36{+}heat}{capacitor36{+}h{+}Q_flow}\left( t \right) - \mathrm{rc37{+}heat}{capacitor37{+}h{+}Q_flow}\left( t \right) - \mathrm{rc38{+}heat}{capacitor38{+}h{+}Q_flow}\left( t \right) - \mathrm{rc39{+}heat}{capacitor39{+}h{+}Q_flow}\left( t \right) - \mathrm{rc3{+}heat}{capacitor3{+}h{+}Q_flow}\left( t \right) - \mathrm{rc40{+}heat}{capacitor40{+}h{+}Q_flow}\left( t \right) - \mathrm{rc41{+}heat}{capacitor41{+}h{+}Q_flow}\left( t \right) - \mathrm{rc42{+}heat}{capacitor42{+}h{+}Q_flow}\left( t \right) - \mathrm{rc43{+}heat}{capacitor43{+}h{+}Q_flow}\left( t \right) - \mathrm{rc44{+}heat}{capacitor44{+}h{+}Q_flow}\left( t \right) - \mathrm{rc45{+}heat}{capacitor45{+}h{+}Q_flow}\left( t \right) - \mathrm{rc46{+}heat}{capacitor46{+}h{+}Q_flow}\left( t \right) - \mathrm{rc47{+}heat}{capacitor47{+}h{+}Q_flow}\left( t \right) - \mathrm{rc48{+}heat}{capacitor48{+}h{+}Q_flow}\left( t \right) - \mathrm{rc49{+}heat}{capacitor49{+}h{+}Q_flow}\left( t \right) - \mathrm{rc4{+}heat}{capacitor4{+}h{+}Q_flow}\left( t \right) - \mathrm{rc50{+}heat}{capacitor50{+}h{+}Q_flow}\left( t \right) - \mathrm{rc5{+}heat}{capacitor5{+}h{+}Q_flow}\left( t \right) - \mathrm{rc6{+}heat}{capacitor6{+}h{+}Q_flow}\left( t \right) - \mathrm{rc7{+}heat}{capacitor7{+}h{+}Q_flow}\left( t \right) - \mathrm{rc8{+}heat}{capacitor8{+}h{+}Q_flow}\left( t \right) - \mathrm{rc9{+}heat}{capacitor9{+}h{+}Q_flow}\left( t \right) \ 0 =& - \mathrm{rc1{+}resistor1{+}v}\left( t \right) + \mathrm{rc1{+}capacitor1{+}p{+}i}\left( t \right) \mathrm{rc1{+}resistor1{+}RTherm}\left( t \right) \ \frac{drc1{+}capacitor1{+}v(t)}{dt} =& \frac{\mathrm{rc1{+}capacitor1{+}p{+}i}\left( t \right)}{rc1{+}capacitor1{+}C} \ \frac{drc1{+}heat{capacitor1{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc1{+}heat}{capacitor1{+}h{+}Q_flow}\left( t \right)}{rc1{+}heat{capacitor1{+}V} rc1{+}heat{capacitor1{+}cp} rc1{+}heat{capacitor1{+}rho}} \ 0 =& - \mathrm{rc2{+}resistor2{+}v}\left( t \right) + \mathrm{rc2{+}capacitor2{+}p{+}i}\left( t \right) \mathrm{rc2{+}resistor2{+}RTherm}\left( t \right) \ \frac{drc2{+}capacitor2{+}v(t)}{dt} =& \frac{\mathrm{rc2{+}capacitor2{+}p{+}i}\left( t \right)}{rc2{+}capacitor2{+}C} \ \frac{drc2{+}heat{capacitor2{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc2{+}heat}{capacitor2{+}h{+}Q\flow}\left( t \right)}{rc2{+}heat{capacitor2{+}V} rc2{+}heat{capacitor2{+}cp} rc2{+}heat{capacitor2{+}rho}} \ 0 =& \mathrm{rc3{+}capacitor3{+}p{+}i}\left( t \right) \mathrm{rc3{+}resistor3{+}RTherm}\left( t \right) - \mathrm{rc3{+}resistor3{+}v}\left( t \right) \ \frac{drc3{+}capacitor3{+}v(t)}{dt} =& \frac{\mathrm{rc3{+}capacitor3{+}p{+}i}\left( t \right)}{rc3{+}capacitor3{+}C} \ \frac{drc3{+}heat{capacitor3{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc3{+}heat}{capacitor3{+}h{+}Q\flow}\left( t \right)}{rc3{+}heat{capacitor3{+}V} rc3{+}heat{capacitor3{+}cp} rc3{+}heat{capacitor3{+}rho}} \ 0 =& \mathrm{rc4{+}capacitor4{+}p{+}i}\left( t \right) \mathrm{rc4{+}resistor4{+}RTherm}\left( t \right) - \mathrm{rc4{+}resistor4{+}v}\left( t \right) \ \frac{drc4{+}capacitor4{+}v(t)}{dt} =& \frac{\mathrm{rc4{+}capacitor4{+}p{+}i}\left( t \right)}{rc4{+}capacitor4{+}C} \ \frac{drc4{+}heat{capacitor4{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc4{+}heat}{capacitor4{+}h{+}Q\flow}\left( t \right)}{rc4{+}heat{capacitor4{+}V} rc4{+}heat{capacitor4{+}cp} rc4{+}heat{capacitor4{+}rho}} \ 0 =& \mathrm{rc5{+}capacitor5{+}p{+}i}\left( t \right) \mathrm{rc5{+}resistor5{+}RTherm}\left( t \right) - \mathrm{rc5{+}resistor5{+}v}\left( t \right) \ \frac{drc5{+}capacitor5{+}v(t)}{dt} =& \frac{\mathrm{rc5{+}capacitor5{+}p{+}i}\left( t \right)}{rc5{+}capacitor5{+}C} \ \frac{drc5{+}heat{capacitor5{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc5{+}heat}{capacitor5{+}h{+}Q\flow}\left( t \right)}{rc5{+}heat{capacitor5{+}V} rc5{+}heat{capacitor5{+}cp} rc5{+}heat{capacitor5{+}rho}} \ 0 =& \mathrm{rc6{+}capacitor6{+}p{+}i}\left( t \right) \mathrm{rc6{+}resistor6{+}RTherm}\left( t \right) - \mathrm{rc6{+}resistor6{+}v}\left( t \right) \ \frac{drc6{+}capacitor6{+}v(t)}{dt} =& \frac{\mathrm{rc6{+}capacitor6{+}p{+}i}\left( t \right)}{rc6{+}capacitor6{+}C} \ \frac{drc6{+}heat{capacitor6{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc6{+}heat}{capacitor6{+}h{+}Q\flow}\left( t \right)}{rc6{+}heat{capacitor6{+}V} rc6{+}heat{capacitor6{+}cp} rc6{+}heat{capacitor6{+}rho}} \ 0 =& - \mathrm{rc7{+}resistor7{+}v}\left( t \right) + \mathrm{rc7{+}capacitor7{+}p{+}i}\left( t \right) \mathrm{rc7{+}resistor7{+}RTherm}\left( t \right) \ \frac{drc7{+}capacitor7{+}v(t)}{dt} =& \frac{\mathrm{rc7{+}capacitor7{+}p{+}i}\left( t \right)}{rc7{+}capacitor7{+}C} \ \frac{drc7{+}heat{capacitor7{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc7{+}heat}{capacitor7{+}h{+}Q\flow}\left( t \right)}{rc7{+}heat{capacitor7{+}V} rc7{+}heat{capacitor7{+}cp} rc7{+}heat{capacitor7{+}rho}} \ 0 =& - \mathrm{rc8{+}resistor8{+}v}\left( t \right) + \mathrm{rc8{+}capacitor8{+}p{+}i}\left( t \right) \mathrm{rc8{+}resistor8{+}RTherm}\left( t \right) \ \frac{drc8{+}capacitor8{+}v(t)}{dt} =& \frac{\mathrm{rc8{+}capacitor8{+}p{+}i}\left( t \right)}{rc8{+}capacitor8{+}C} \ \frac{drc8{+}heat{capacitor8{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc8{+}heat}{capacitor8{+}h{+}Q\flow}\left( t \right)}{rc8{+}heat{capacitor8{+}V} rc8{+}heat{capacitor8{+}cp} rc8{+}heat{capacitor8{+}rho}} \ 0 =& \mathrm{rc9{+}capacitor9{+}p{+}i}\left( t \right) \mathrm{rc9{+}resistor9{+}RTherm}\left( t \right) - \mathrm{rc9{+}resistor9{+}v}\left( t \right) \ \frac{drc9{+}capacitor9{+}v(t)}{dt} =& \frac{\mathrm{rc9{+}capacitor9{+}p{+}i}\left( t \right)}{rc9{+}capacitor9{+}C} \ \frac{drc9{+}heat{capacitor9{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc9{+}heat}{capacitor9{+}h{+}Q\flow}\left( t \right)}{rc9{+}heat{capacitor9{+}V} rc9{+}heat{capacitor9{+}cp} rc9{+}heat{capacitor9{+}rho}} \ 0 =& - \mathrm{rc10{+}resistor10{+}v}\left( t \right) + \mathrm{rc10{+}capacitor10{+}p{+}i}\left( t \right) \mathrm{rc10{+}resistor10{+}RTherm}\left( t \right) \ \frac{drc10{+}capacitor10{+}v(t)}{dt} =& \frac{\mathrm{rc10{+}capacitor10{+}p{+}i}\left( t \right)}{rc10{+}capacitor10{+}C} \ \frac{drc10{+}heat{capacitor10{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc10{+}heat}{capacitor10{+}h{+}Q\flow}\left( t \right)}{rc10{+}heat{capacitor10{+}V} rc10{+}heat{capacitor10{+}cp} rc10{+}heat{capacitor10{+}rho}} \ 0 =& - \mathrm{rc11{+}resistor11{+}v}\left( t \right) + \mathrm{rc11{+}capacitor11{+}p{+}i}\left( t \right) \mathrm{rc11{+}resistor11{+}RTherm}\left( t \right) \ \frac{drc11{+}capacitor11{+}v(t)}{dt} =& \frac{\mathrm{rc11{+}capacitor11{+}p{+}i}\left( t \right)}{rc11{+}capacitor11{+}C} \ \frac{drc11{+}heat{capacitor11{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc11{+}heat}{capacitor11{+}h{+}Q\flow}\left( t \right)}{rc11{+}heat{capacitor11{+}V} rc11{+}heat{capacitor11{+}cp} rc11{+}heat{capacitor11{+}rho}} \ 0 =& - \mathrm{rc12{+}resistor12{+}v}\left( t \right) + \mathrm{rc12{+}capacitor12{+}p{+}i}\left( t \right) \mathrm{rc12{+}resistor12{+}RTherm}\left( t \right) \ \frac{drc12{+}capacitor12{+}v(t)}{dt} =& \frac{\mathrm{rc12{+}capacitor12{+}p{+}i}\left( t \right)}{rc12{+}capacitor12{+}C} \ \frac{drc12{+}heat{capacitor12{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc12{+}heat}{capacitor12{+}h{+}Q\flow}\left( t \right)}{rc12{+}heat{capacitor12{+}V} rc12{+}heat{capacitor12{+}cp} rc12{+}heat{capacitor12{+}rho}} \ 0 =& - \mathrm{rc13{+}resistor13{+}v}\left( t \right) + \mathrm{rc13{+}capacitor13{+}p{+}i}\left( t \right) \mathrm{rc13{+}resistor13{+}RTherm}\left( t \right) \ \frac{drc13{+}capacitor13{+}v(t)}{dt} =& \frac{\mathrm{rc13{+}capacitor13{+}p{+}i}\left( t \right)}{rc13{+}capacitor13{+}C} \ \frac{drc13{+}heat{capacitor13{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc13{+}heat}{capacitor13{+}h{+}Q\flow}\left( t \right)}{rc13{+}heat{capacitor13{+}V} rc13{+}heat{capacitor13{+}cp} rc13{+}heat{capacitor13{+}rho}} \ 0 =& - \mathrm{rc14{+}resistor14{+}v}\left( t \right) + \mathrm{rc14{+}capacitor14{+}p{+}i}\left( t \right) \mathrm{rc14{+}resistor14{+}RTherm}\left( t \right) \ \frac{drc14{+}capacitor14{+}v(t)}{dt} =& \frac{\mathrm{rc14{+}capacitor14{+}p{+}i}\left( t \right)}{rc14{+}capacitor14{+}C} \ \frac{drc14{+}heat{capacitor14{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc14{+}heat}{capacitor14{+}h{+}Q\flow}\left( t \right)}{rc14{+}heat{capacitor14{+}V} rc14{+}heat{capacitor14{+}cp} rc14{+}heat{capacitor14{+}rho}} \ 0 =& - \mathrm{rc15{+}resistor15{+}v}\left( t \right) + \mathrm{rc15{+}capacitor15{+}p{+}i}\left( t \right) \mathrm{rc15{+}resistor15{+}RTherm}\left( t \right) \ \frac{drc15{+}capacitor15{+}v(t)}{dt} =& \frac{\mathrm{rc15{+}capacitor15{+}p{+}i}\left( t \right)}{rc15{+}capacitor15{+}C} \ \frac{drc15{+}heat{capacitor15{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc15{+}heat}{capacitor15{+}h{+}Q\flow}\left( t \right)}{rc15{+}heat{capacitor15{+}V} rc15{+}heat{capacitor15{+}cp} rc15{+}heat{capacitor15{+}rho}} \ 0 =& \mathrm{rc16{+}capacitor16{+}p{+}i}\left( t \right) \mathrm{rc16{+}resistor16{+}RTherm}\left( t \right) - \mathrm{rc16{+}resistor16{+}v}\left( t \right) \ \frac{drc16{+}capacitor16{+}v(t)}{dt} =& \frac{\mathrm{rc16{+}capacitor16{+}p{+}i}\left( t \right)}{rc16{+}capacitor16{+}C} \ \frac{drc16{+}heat{capacitor16{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc16{+}heat}{capacitor16{+}h{+}Q\flow}\left( t \right)}{rc16{+}heat{capacitor16{+}V} rc16{+}heat{capacitor16{+}cp} rc16{+}heat{capacitor16{+}rho}} \ 0 =& - \mathrm{rc17{+}resistor17{+}v}\left( t \right) + \mathrm{rc17{+}capacitor17{+}p{+}i}\left( t \right) \mathrm{rc17{+}resistor17{+}RTherm}\left( t \right) \ \frac{drc17{+}capacitor17{+}v(t)}{dt} =& \frac{\mathrm{rc17{+}capacitor17{+}p{+}i}\left( t \right)}{rc17{+}capacitor17{+}C} \ \frac{drc17{+}heat{capacitor17{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc17{+}heat}{capacitor17{+}h{+}Q\flow}\left( t \right)}{rc17{+}heat{capacitor17{+}V} rc17{+}heat{capacitor17{+}cp} rc17{+}heat{capacitor17{+}rho}} \ 0 =& - \mathrm{rc18{+}resistor18{+}v}\left( t \right) + \mathrm{rc18{+}capacitor18{+}p{+}i}\left( t \right) \mathrm{rc18{+}resistor18{+}RTherm}\left( t \right) \ \frac{drc18{+}capacitor18{+}v(t)}{dt} =& \frac{\mathrm{rc18{+}capacitor18{+}p{+}i}\left( t \right)}{rc18{+}capacitor18{+}C} \ \frac{drc18{+}heat{capacitor18{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc18{+}heat}{capacitor18{+}h{+}Q\flow}\left( t \right)}{rc18{+}heat{capacitor18{+}V} rc18{+}heat{capacitor18{+}cp} rc18{+}heat{capacitor18{+}rho}} \ 0 =& - \mathrm{rc19{+}resistor19{+}v}\left( t \right) + \mathrm{rc19{+}capacitor19{+}p{+}i}\left( t \right) \mathrm{rc19{+}resistor19{+}RTherm}\left( t \right) \ \frac{drc19{+}capacitor19{+}v(t)}{dt} =& \frac{\mathrm{rc19{+}capacitor19{+}p{+}i}\left( t \right)}{rc19{+}capacitor19{+}C} \ \frac{drc19{+}heat{capacitor19{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc19{+}heat}{capacitor19{+}h{+}Q\flow}\left( t \right)}{rc19{+}heat{capacitor19{+}V} rc19{+}heat{capacitor19{+}cp} rc19{+}heat{capacitor19{+}rho}} \ 0 =& \mathrm{rc20{+}capacitor20{+}p{+}i}\left( t \right) \mathrm{rc20{+}resistor20{+}RTherm}\left( t \right) - \mathrm{rc20{+}resistor20{+}v}\left( t \right) \ \frac{drc20{+}capacitor20{+}v(t)}{dt} =& \frac{\mathrm{rc20{+}capacitor20{+}p{+}i}\left( t \right)}{rc20{+}capacitor20{+}C} \ \frac{drc20{+}heat{capacitor20{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc20{+}heat}{capacitor20{+}h{+}Q\flow}\left( t \right)}{rc20{+}heat{capacitor20{+}V} rc20{+}heat{capacitor20{+}cp} rc20{+}heat{capacitor20{+}rho}} \ 0 =& - \mathrm{rc21{+}resistor21{+}v}\left( t \right) + \mathrm{rc21{+}capacitor21{+}p{+}i}\left( t \right) \mathrm{rc21{+}resistor21{+}RTherm}\left( t \right) \ \frac{drc21{+}capacitor21{+}v(t)}{dt} =& \frac{\mathrm{rc21{+}capacitor21{+}p{+}i}\left( t \right)}{rc21{+}capacitor21{+}C} \ \frac{drc21{+}heat{capacitor21{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc21{+}heat}{capacitor21{+}h{+}Q\flow}\left( t \right)}{rc21{+}heat{capacitor21{+}V} rc21{+}heat{capacitor21{+}cp} rc21{+}heat{capacitor21{+}rho}} \ 0 =& \mathrm{rc22{+}capacitor22{+}p{+}i}\left( t \right) \mathrm{rc22{+}resistor22{+}RTherm}\left( t \right) - \mathrm{rc22{+}resistor22{+}v}\left( t \right) \ \frac{drc22{+}capacitor22{+}v(t)}{dt} =& \frac{\mathrm{rc22{+}capacitor22{+}p{+}i}\left( t \right)}{rc22{+}capacitor22{+}C} \ \frac{drc22{+}heat{capacitor22{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc22{+}heat}{capacitor22{+}h{+}Q\flow}\left( t \right)}{rc22{+}heat{capacitor22{+}V} rc22{+}heat{capacitor22{+}cp} rc22{+}heat{capacitor22{+}rho}} \ 0 =& \mathrm{rc23{+}capacitor23{+}p{+}i}\left( t \right) \mathrm{rc23{+}resistor23{+}RTherm}\left( t \right) - \mathrm{rc23{+}resistor23{+}v}\left( t \right) \ \frac{drc23{+}capacitor23{+}v(t)}{dt} =& \frac{\mathrm{rc23{+}capacitor23{+}p{+}i}\left( t \right)}{rc23{+}capacitor23{+}C} \ \frac{drc23{+}heat{capacitor23{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc23{+}heat}{capacitor23{+}h{+}Q\flow}\left( t \right)}{rc23{+}heat{capacitor23{+}V} rc23{+}heat{capacitor23{+}cp} rc23{+}heat{capacitor23{+}rho}} \ 0 =& - \mathrm{rc24{+}resistor24{+}v}\left( t \right) + \mathrm{rc24{+}capacitor24{+}p{+}i}\left( t \right) \mathrm{rc24{+}resistor24{+}RTherm}\left( t \right) \ \frac{drc24{+}capacitor24{+}v(t)}{dt} =& \frac{\mathrm{rc24{+}capacitor24{+}p{+}i}\left( t \right)}{rc24{+}capacitor24{+}C} \ \frac{drc24{+}heat{capacitor24{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc24{+}heat}{capacitor24{+}h{+}Q\flow}\left( t \right)}{rc24{+}heat{capacitor24{+}V} rc24{+}heat{capacitor24{+}cp} rc24{+}heat{capacitor24{+}rho}} \ 0 =& \mathrm{rc25{+}capacitor25{+}p{+}i}\left( t \right) \mathrm{rc25{+}resistor25{+}RTherm}\left( t \right) - \mathrm{rc25{+}resistor25{+}v}\left( t \right) \ \frac{drc25{+}capacitor25{+}v(t)}{dt} =& \frac{\mathrm{rc25{+}capacitor25{+}p{+}i}\left( t \right)}{rc25{+}capacitor25{+}C} \ \frac{drc25{+}heat{capacitor25{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc25{+}heat}{capacitor25{+}h{+}Q\flow}\left( t \right)}{rc25{+}heat{capacitor25{+}V} rc25{+}heat{capacitor25{+}cp} rc25{+}heat{capacitor25{+}rho}} \ 0 =& - \mathrm{rc26{+}resistor26{+}v}\left( t \right) + \mathrm{rc26{+}capacitor26{+}p{+}i}\left( t \right) \mathrm{rc26{+}resistor26{+}RTherm}\left( t \right) \ \frac{drc26{+}capacitor26{+}v(t)}{dt} =& \frac{\mathrm{rc26{+}capacitor26{+}p{+}i}\left( t \right)}{rc26{+}capacitor26{+}C} \ \frac{drc26{+}heat{capacitor26{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc26{+}heat}{capacitor26{+}h{+}Q\flow}\left( t \right)}{rc26{+}heat{capacitor26{+}V} rc26{+}heat{capacitor26{+}cp} rc26{+}heat{capacitor26{+}rho}} \ 0 =& \mathrm{rc27{+}capacitor27{+}p{+}i}\left( t \right) \mathrm{rc27{+}resistor27{+}RTherm}\left( t \right) - \mathrm{rc27{+}resistor27{+}v}\left( t \right) \ \frac{drc27{+}capacitor27{+}v(t)}{dt} =& \frac{\mathrm{rc27{+}capacitor27{+}p{+}i}\left( t \right)}{rc27{+}capacitor27{+}C} \ \frac{drc27{+}heat{capacitor27{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc27{+}heat}{capacitor27{+}h{+}Q\flow}\left( t \right)}{rc27{+}heat{capacitor27{+}V} rc27{+}heat{capacitor27{+}cp} rc27{+}heat{capacitor27{+}rho}} \ 0 =& \mathrm{rc28{+}capacitor28{+}p{+}i}\left( t \right) \mathrm{rc28{+}resistor28{+}RTherm}\left( t \right) - \mathrm{rc28{+}resistor28{+}v}\left( t \right) \ \frac{drc28{+}capacitor28{+}v(t)}{dt} =& \frac{\mathrm{rc28{+}capacitor28{+}p{+}i}\left( t \right)}{rc28{+}capacitor28{+}C} \ \frac{drc28{+}heat{capacitor28{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc28{+}heat}{capacitor28{+}h{+}Q\flow}\left( t \right)}{rc28{+}heat{capacitor28{+}V} rc28{+}heat{capacitor28{+}cp} rc28{+}heat{capacitor28{+}rho}} \ 0 =& \mathrm{rc29{+}capacitor29{+}p{+}i}\left( t \right) \mathrm{rc29{+}resistor29{+}RTherm}\left( t \right) - \mathrm{rc29{+}resistor29{+}v}\left( t \right) \ \frac{drc29{+}capacitor29{+}v(t)}{dt} =& \frac{\mathrm{rc29{+}capacitor29{+}p{+}i}\left( t \right)}{rc29{+}capacitor29{+}C} \ \frac{drc29{+}heat{capacitor29{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc29{+}heat}{capacitor29{+}h{+}Q\flow}\left( t \right)}{rc29{+}heat{capacitor29{+}V} rc29{+}heat{capacitor29{+}cp} rc29{+}heat{capacitor29{+}rho}} \ 0 =& - \mathrm{rc30{+}resistor30{+}v}\left( t \right) + \mathrm{rc30{+}capacitor30{+}p{+}i}\left( t \right) \mathrm{rc30{+}resistor30{+}RTherm}\left( t \right) \ \frac{drc30{+}capacitor30{+}v(t)}{dt} =& \frac{\mathrm{rc30{+}capacitor30{+}p{+}i}\left( t \right)}{rc30{+}capacitor30{+}C} \ \frac{drc30{+}heat{capacitor30{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc30{+}heat}{capacitor30{+}h{+}Q\flow}\left( t \right)}{rc30{+}heat{capacitor30{+}V} rc30{+}heat{capacitor30{+}cp} rc30{+}heat{capacitor30{+}rho}} \ 0 =& - \mathrm{rc31{+}resistor31{+}v}\left( t \right) + \mathrm{rc31{+}capacitor31{+}p{+}i}\left( t \right) \mathrm{rc31{+}resistor31{+}RTherm}\left( t \right) \ \frac{drc31{+}capacitor31{+}v(t)}{dt} =& \frac{\mathrm{rc31{+}capacitor31{+}p{+}i}\left( t \right)}{rc31{+}capacitor31{+}C} \ \frac{drc31{+}heat{capacitor31{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc31{+}heat}{capacitor31{+}h{+}Q\flow}\left( t \right)}{rc31{+}heat{capacitor31{+}V} rc31{+}heat{capacitor31{+}cp} rc31{+}heat{capacitor31{+}rho}} \ 0 =& - \mathrm{rc32{+}resistor32{+}v}\left( t \right) + \mathrm{rc32{+}capacitor32{+}p{+}i}\left( t \right) \mathrm{rc32{+}resistor32{+}RTherm}\left( t \right) \ \frac{drc32{+}capacitor32{+}v(t)}{dt} =& \frac{\mathrm{rc32{+}capacitor32{+}p{+}i}\left( t \right)}{rc32{+}capacitor32{+}C} \ \frac{drc32{+}heat{capacitor32{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc32{+}heat}{capacitor32{+}h{+}Q\flow}\left( t \right)}{rc32{+}heat{capacitor32{+}V} rc32{+}heat{capacitor32{+}cp} rc32{+}heat{capacitor32{+}rho}} \ 0 =& - \mathrm{rc33{+}resistor33{+}v}\left( t \right) + \mathrm{rc33{+}capacitor33{+}p{+}i}\left( t \right) \mathrm{rc33{+}resistor33{+}RTherm}\left( t \right) \ \frac{drc33{+}capacitor33{+}v(t)}{dt} =& \frac{\mathrm{rc33{+}capacitor33{+}p{+}i}\left( t \right)}{rc33{+}capacitor33{+}C} \ \frac{drc33{+}heat{capacitor33{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc33{+}heat}{capacitor33{+}h{+}Q\flow}\left( t \right)}{rc33{+}heat{capacitor33{+}V} rc33{+}heat{capacitor33{+}cp} rc33{+}heat{capacitor33{+}rho}} \ 0 =& - \mathrm{rc34{+}resistor34{+}v}\left( t \right) + \mathrm{rc34{+}capacitor34{+}p{+}i}\left( t \right) \mathrm{rc34{+}resistor34{+}RTherm}\left( t \right) \ \frac{drc34{+}capacitor34{+}v(t)}{dt} =& \frac{\mathrm{rc34{+}capacitor34{+}p{+}i}\left( t \right)}{rc34{+}capacitor34{+}C} \ \frac{drc34{+}heat{capacitor34{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc34{+}heat}{capacitor34{+}h{+}Q\flow}\left( t \right)}{rc34{+}heat{capacitor34{+}V} rc34{+}heat{capacitor34{+}cp} rc34{+}heat{capacitor34{+}rho}} \ 0 =& - \mathrm{rc35{+}resistor35{+}v}\left( t \right) + \mathrm{rc35{+}capacitor35{+}p{+}i}\left( t \right) \mathrm{rc35{+}resistor35{+}RTherm}\left( t \right) \ \frac{drc35{+}capacitor35{+}v(t)}{dt} =& \frac{\mathrm{rc35{+}capacitor35{+}p{+}i}\left( t \right)}{rc35{+}capacitor35{+}C} \ \frac{drc35{+}heat{capacitor35{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc35{+}heat}{capacitor35{+}h{+}Q\flow}\left( t \right)}{rc35{+}heat{capacitor35{+}V} rc35{+}heat{capacitor35{+}cp} rc35{+}heat{capacitor35{+}rho}} \ 0 =& - \mathrm{rc36{+}resistor36{+}v}\left( t \right) + \mathrm{rc36{+}capacitor36{+}p{+}i}\left( t \right) \mathrm{rc36{+}resistor36{+}RTherm}\left( t \right) \ \frac{drc36{+}capacitor36{+}v(t)}{dt} =& \frac{\mathrm{rc36{+}capacitor36{+}p{+}i}\left( t \right)}{rc36{+}capacitor36{+}C} \ \frac{drc36{+}heat{capacitor36{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc36{+}heat}{capacitor36{+}h{+}Q\flow}\left( t \right)}{rc36{+}heat{capacitor36{+}V} rc36{+}heat{capacitor36{+}cp} rc36{+}heat{capacitor36{+}rho}} \ 0 =& \mathrm{rc37{+}capacitor37{+}p{+}i}\left( t \right) \mathrm{rc37{+}resistor37{+}RTherm}\left( t \right) - \mathrm{rc37{+}resistor37{+}v}\left( t \right) \ \frac{drc37{+}capacitor37{+}v(t)}{dt} =& \frac{\mathrm{rc37{+}capacitor37{+}p{+}i}\left( t \right)}{rc37{+}capacitor37{+}C} \ \frac{drc37{+}heat{capacitor37{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc37{+}heat}{capacitor37{+}h{+}Q\flow}\left( t \right)}{rc37{+}heat{capacitor37{+}V} rc37{+}heat{capacitor37{+}cp} rc37{+}heat{capacitor37{+}rho}} \ 0 =& \mathrm{rc38{+}capacitor38{+}p{+}i}\left( t \right) \mathrm{rc38{+}resistor38{+}RTherm}\left( t \right) - \mathrm{rc38{+}resistor38{+}v}\left( t \right) \ \frac{drc38{+}capacitor38{+}v(t)}{dt} =& \frac{\mathrm{rc38{+}capacitor38{+}p{+}i}\left( t \right)}{rc38{+}capacitor38{+}C} \ \frac{drc38{+}heat{capacitor38{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc38{+}heat}{capacitor38{+}h{+}Q\flow}\left( t \right)}{rc38{+}heat{capacitor38{+}V} rc38{+}heat{capacitor38{+}cp} rc38{+}heat{capacitor38{+}rho}} \ 0 =& \mathrm{rc39{+}capacitor39{+}p{+}i}\left( t \right) \mathrm{rc39{+}resistor39{+}RTherm}\left( t \right) - \mathrm{rc39{+}resistor39{+}v}\left( t \right) \ \frac{drc39{+}capacitor39{+}v(t)}{dt} =& \frac{\mathrm{rc39{+}capacitor39{+}p{+}i}\left( t \right)}{rc39{+}capacitor39{+}C} \ \frac{drc39{+}heat{capacitor39{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc39{+}heat}{capacitor39{+}h{+}Q\flow}\left( t \right)}{rc39{+}heat{capacitor39{+}V} rc39{+}heat{capacitor39{+}cp} rc39{+}heat{capacitor39{+}rho}} \ 0 =& \mathrm{rc40{+}capacitor40{+}p{+}i}\left( t \right) \mathrm{rc40{+}resistor40{+}RTherm}\left( t \right) - \mathrm{rc40{+}resistor40{+}v}\left( t \right) \ \frac{drc40{+}capacitor40{+}v(t)}{dt} =& \frac{\mathrm{rc40{+}capacitor40{+}p{+}i}\left( t \right)}{rc40{+}capacitor40{+}C} \ \frac{drc40{+}heat{capacitor40{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc40{+}heat}{capacitor40{+}h{+}Q\flow}\left( t \right)}{rc40{+}heat{capacitor40{+}V} rc40{+}heat{capacitor40{+}cp} rc40{+}heat{capacitor40{+}rho}} \ 0 =& - \mathrm{rc41{+}resistor41{+}v}\left( t \right) + \mathrm{rc41{+}capacitor41{+}p{+}i}\left( t \right) \mathrm{rc41{+}resistor41{+}RTherm}\left( t \right) \ \frac{drc41{+}capacitor41{+}v(t)}{dt} =& \frac{\mathrm{rc41{+}capacitor41{+}p{+}i}\left( t \right)}{rc41{+}capacitor41{+}C} \ \frac{drc41{+}heat{capacitor41{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc41{+}heat}{capacitor41{+}h{+}Q\flow}\left( t \right)}{rc41{+}heat{capacitor41{+}V} rc41{+}heat{capacitor41{+}cp} rc41{+}heat{capacitor41{+}rho}} \ 0 =& \mathrm{rc42{+}capacitor42{+}p{+}i}\left( t \right) \mathrm{rc42{+}resistor42{+}RTherm}\left( t \right) - \mathrm{rc42{+}resistor42{+}v}\left( t \right) \ \frac{drc42{+}capacitor42{+}v(t)}{dt} =& \frac{\mathrm{rc42{+}capacitor42{+}p{+}i}\left( t \right)}{rc42{+}capacitor42{+}C} \ \frac{drc42{+}heat{capacitor42{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc42{+}heat}{capacitor42{+}h{+}Q\flow}\left( t \right)}{rc42{+}heat{capacitor42{+}V} rc42{+}heat{capacitor42{+}cp} rc42{+}heat{capacitor42{+}rho}} \ 0 =& - \mathrm{rc43{+}resistor43{+}v}\left( t \right) + \mathrm{rc43{+}capacitor43{+}p{+}i}\left( t \right) \mathrm{rc43{+}resistor43{+}RTherm}\left( t \right) \ \frac{drc43{+}capacitor43{+}v(t)}{dt} =& \frac{\mathrm{rc43{+}capacitor43{+}p{+}i}\left( t \right)}{rc43{+}capacitor43{+}C} \ \frac{drc43{+}heat{capacitor43{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc43{+}heat}{capacitor43{+}h{+}Q\flow}\left( t \right)}{rc43{+}heat{capacitor43{+}V} rc43{+}heat{capacitor43{+}cp} rc43{+}heat{capacitor43{+}rho}} \ 0 =& \mathrm{rc44{+}capacitor44{+}p{+}i}\left( t \right) \mathrm{rc44{+}resistor44{+}RTherm}\left( t \right) - \mathrm{rc44{+}resistor44{+}v}\left( t \right) \ \frac{drc44{+}capacitor44{+}v(t)}{dt} =& \frac{\mathrm{rc44{+}capacitor44{+}p{+}i}\left( t \right)}{rc44{+}capacitor44{+}C} \ \frac{drc44{+}heat{capacitor44{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc44{+}heat}{capacitor44{+}h{+}Q\flow}\left( t \right)}{rc44{+}heat{capacitor44{+}V} rc44{+}heat{capacitor44{+}cp} rc44{+}heat{capacitor44{+}rho}} \ 0 =& \mathrm{rc45{+}capacitor45{+}p{+}i}\left( t \right) \mathrm{rc45{+}resistor45{+}RTherm}\left( t \right) - \mathrm{rc45{+}resistor45{+}v}\left( t \right) \ \frac{drc45{+}capacitor45{+}v(t)}{dt} =& \frac{\mathrm{rc45{+}capacitor45{+}p{+}i}\left( t \right)}{rc45{+}capacitor45{+}C} \ \frac{drc45{+}heat{capacitor45{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc45{+}heat}{capacitor45{+}h{+}Q\flow}\left( t \right)}{rc45{+}heat{capacitor45{+}V} rc45{+}heat{capacitor45{+}cp} rc45{+}heat{capacitor45{+}rho}} \ 0 =& - \mathrm{rc46{+}resistor46{+}v}\left( t \right) + \mathrm{rc46{+}capacitor46{+}p{+}i}\left( t \right) \mathrm{rc46{+}resistor46{+}RTherm}\left( t \right) \ \frac{drc46{+}capacitor46{+}v(t)}{dt} =& \frac{\mathrm{rc46{+}capacitor46{+}p{+}i}\left( t \right)}{rc46{+}capacitor46{+}C} \ \frac{drc46{+}heat{capacitor46{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc46{+}heat}{capacitor46{+}h{+}Q\flow}\left( t \right)}{rc46{+}heat{capacitor46{+}V} rc46{+}heat{capacitor46{+}cp} rc46{+}heat{capacitor46{+}rho}} \ 0 =& - \mathrm{rc47{+}resistor47{+}v}\left( t \right) + \mathrm{rc47{+}capacitor47{+}p{+}i}\left( t \right) \mathrm{rc47{+}resistor47{+}RTherm}\left( t \right) \ \frac{drc47{+}capacitor47{+}v(t)}{dt} =& \frac{\mathrm{rc47{+}capacitor47{+}p{+}i}\left( t \right)}{rc47{+}capacitor47{+}C} \ \frac{drc47{+}heat{capacitor47{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc47{+}heat}{capacitor47{+}h{+}Q\flow}\left( t \right)}{rc47{+}heat{capacitor47{+}V} rc47{+}heat{capacitor47{+}cp} rc47{+}heat{capacitor47{+}rho}} \ 0 =& \mathrm{rc48{+}capacitor48{+}p{+}i}\left( t \right) \mathrm{rc48{+}resistor48{+}RTherm}\left( t \right) - \mathrm{rc48{+}resistor48{+}v}\left( t \right) \ \frac{drc48{+}capacitor48{+}v(t)}{dt} =& \frac{\mathrm{rc48{+}capacitor48{+}p{+}i}\left( t \right)}{rc48{+}capacitor48{+}C} \ \frac{drc48{+}heat{capacitor48{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc48{+}heat}{capacitor48{+}h{+}Q\flow}\left( t \right)}{rc48{+}heat{capacitor48{+}V} rc48{+}heat{capacitor48{+}cp} rc48{+}heat{capacitor48{+}rho}} \ 0 =& \mathrm{rc49{+}capacitor49{+}p{+}i}\left( t \right) \mathrm{rc49{+}resistor49{+}RTherm}\left( t \right) - \mathrm{rc49{+}resistor49{+}v}\left( t \right) \ \frac{drc49{+}capacitor49{+}v(t)}{dt} =& \frac{\mathrm{rc49{+}capacitor49{+}p{+}i}\left( t \right)}{rc49{+}capacitor49{+}C} \ \frac{drc49{+}heat{capacitor49{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc49{+}heat}{capacitor49{+}h{+}Q\flow}\left( t \right)}{rc49{+}heat{capacitor49{+}V} rc49{+}heat{capacitor49{+}cp} rc49{+}heat{capacitor49{+}rho}} \ 0 =& - \mathrm{rc50{+}resistor50{+}v}\left( t \right) + \mathrm{rc50{+}capacitor50{+}p{+}i}\left( t \right) \mathrm{rc50{+}resistor50{+}RTherm}\left( t \right) \ \frac{drc50{+}capacitor50{+}v(t)}{dt} =& \frac{\mathrm{rc50{+}capacitor50{+}p{+}i}\left( t \right)}{rc50{+}capacitor50{+}C} \ \frac{drc50{+}heat{capacitor50{+}h{+}T(t)}}{dt} =& \frac{\mathrm{rc50{+}heat}{capacitor50{+}h{+}Q\flow}\left( t \right)}{rc50{+}heat{capacitor50{+}V} rc50{+}heat{capacitor50{+}cp} rc50{+}heat{capacitor50_{+}rho}} \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.