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Navigation: Library > Bond Graph > 2d > MTF-2 |
  
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Bond Graph
Domains: Continuous. Size: 2-D. Kind: Bond Graphs.
This model is the multiport equivalent of the single modulated transformer. Consequently the constitutive equation must be written as a matrix-vector multiplication. The transform ratio can be set to a certain (fluctuating) value, given by an input signal. The causality is always mixed: one port has an effort out causality while the other has a flow out causality:
p1.e = transpose(r) * p2.e;
p2.f = r * p1.f;
or:
p2.e = inverse(transpose(r)) * p1.e;
p1.f = inverse(r) * p2.f;
Ports |
Description |
p1[2], p2[2] |
Input and output port of the gyrator (columnvectors with size 2). |
Causality |
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p1 notequal p2 |
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Inputs |
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r[2,2] |
Modulated transform ratio (size [2,2]). |
The second set of equations contain a matrix inversion of the modulation signal. The elements of this input signal should always have non-singular values.