Delays

PowerSimulationsDynamics supports models with constant delays in a mass matrix formulation:

\[\begin{align} M\frac{dx(t)}{dt} = f(x(t), x(t-\tau_1), ... , x(t-\tau_N)) \end{align}\]

For more information on solving such models, refer to the documentation for DelayDiffEq.jl package.

The following models include time delays:

There is currently limited support for including models with time delays. The following limitations apply:

Only constant delays are supported (state dependent delays are not).
System models with delays must use MassMatrixModel formulation (ResidualModel is not currently compatible).
System models with delays are not compatible with small signal analysis tools.
The system formulation with delays is not compatible with automatic differentiation for calculating the gradient with respect to time. The setting autodiff=false should be set when passing the solver (e.g. MethodofSteps(Rodas5(autodiff=false))).