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TF-3

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TF-3

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Bond Graph

Use

Domains: Continuous. Size: 3-D. Kind: Bond Graphs.

Description

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

Interface

Ports

Description

p1[3], p2[3]

Input and output port of the transformer (columnvectors with size 3).

Causality

 

p1 notequal p2

The causality of both ports must be different.

Parameters

 

R[3,3]

Transform ratio (matrix of size [3,3]).

Limitations

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.