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ModelingToolkitStandardLibrary.jl

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The ModelingToolkit Standard Library is a standard library of components to model the world and beyond.

Installation

Assuming that you already have Julia correctly installed, it suffices to import ModelingToolkitStandardLibrary.jl in the standard way:

import Pkg;
Pkg.add("ModelingToolkitStandardLibrary");

Tutorials and Documentation

For information on using the package, see the stable documentation. Use the in-development documentation for the version of the documentation, which contains the unreleased features.

Libraries

The following are the constituant libraries of the ModelingToolkit Standard Library.

Example

The following is the RC Circuit Demonstration:

using ModelingToolkit, OrdinaryDiffEq, Plots
using ModelingToolkitStandardLibrary.Electrical
using ModelingToolkitStandardLibrary.Blocks: Constant

R = 1.0
C = 1.0
V = 1.0
@variables t
@named resistor = Resistor(R = R)
@named capacitor = Capacitor(C = C)
@named source = Voltage()
@named constant = Constant(k = V)
@named ground = Ground()

rc_eqs = [connect(constant.output, source.V)
          connect(source.p, resistor.p)
          connect(resistor.n, capacitor.p)
          connect(capacitor.n, source.n, ground.g)]

@named rc_model = ODESystem(rc_eqs, t,
                            systems = [resistor, capacitor, constant, source, ground])
sys = structural_simplify(rc_model)
prob = ODEProblem(sys, Pair[], (0, 10.0))
sol = solve(prob, Tsit5())
plot(sol, idxs = [capacitor.v, resistor.i],
     title = "RC Circuit Demonstration",
     labels = ["Capacitor Voltage" "Resistor Current"])
savefig("plot.png")