Bond Graph
Domains: Continuous. Size: 3-D. Kind: Bond Graphs.
This model is the multiport equivalent of the single modulated gyrator. Consequently the constitutive equation must be written as a matrix-vector multiplication. The gyration ratio can be set to a certain (fluctuating) value, given by an input signal. The model can have both ports with an effort out causality or both ports with a flow out causality:
effort out causality:
p1.e = transpose(r) * p2.f;
p2.e = r * p2.f;
flow out causality:
p1.f = inverse(transpose(r)) * p2.e;
p2.f = inverse(r) * p1.e;
Ports |
Description |
p1[3], p2[3] |
Input and output port of the gyrator (columnvectors with size 3). |
Causality |
|
p1 equal p2 |
The causality of both ports must be equal. |
Inputs |
|
r[3,3] |
Modulated gyration ratio (size [3,3]). |
The flow out equations contain a matrix inversion of the modulation signal. The elements of this input signal should always have non-singular values.