The ModelingToolkit Standard Library is a standard library of components to model the world and beyond.
Assuming that you already have Julia correctly installed, it suffices to import ModelingToolkitStandardLibrary.jl in the standard way:
import Pkg;
Pkg.add("ModelingToolkitStandardLibrary");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.
The following are the constituent libraries of the ModelingToolkit Standard Library.
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
systems = @named begin
resistor = Resistor(R = R)
capacitor = Capacitor(C = C)
source = Voltage()
constant = Constant(k = V)
ground = Ground()
end
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)
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")