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GY-3

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GY-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 gyrator. Consequently the constitutive equation must be written as a matrix-vector multiplication. 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 * p1.f;

 

flow out causality:

 

p1.f = inverse(transpose(R)) * p2.e;

p2.f = inverse(R) * p1.e;

Interface

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.

Parameters

 

R[3]

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

Limitations

The flow out equations contain an inverted R matrix. The elements of this matrix should be chosen with care to prevent this matrix from becoming singular.