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Navigation: Library > Bond Graph > 3d > TF-3 |
  
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Bond Graph
Domains: Continuous. Size: 3-D. Kind: Bond Graphs.
This model is the multiport equivalent of the single transformer. Consequently the constitutive equation must be written as a matrix-vector multiplication. The causality is always mixed: one port has an effort causality while the other has a flow 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[3], p2[3] |
Input and output port of the transformer (columnvectors with size 3). |
Causality |
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p1 notequal p2 |
The causality of both ports must be different. |
Parameters |
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R[3,3] |
Transform ratio (matrix of size [3,3]). |
The lower set of equations contain an inverted R matrix. The elements of this matrix should be chosen with care to prevent this matrix from becoming singular.