modelCascadedFirstOrder
N cascaded first order systems, approximating a pure delay
Information
This model is meant to try out the tool performance with ODE systems of possibly very large size, with high sparsity degree.
The model is a cascaded connection of first order linear systems, approximating a pure delay of T seconds as N approaches infinity. It contains exactly N state variables and N differential equations.
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Integer | N | 10 | Order of the system |
| Modelica.Units.SI.Time | T | 1 | System delay |
| Modelica.Units.SI.Time | tau | T/N | Individual time constant |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| Real[N] | x | State array | |
| Real | u | 1 | Cascaded system input |