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MTF-2

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MTF-2

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Library

Bond Graph

Use

Domains: Continuous. Size: 2-D. Kind: Bond Graphs.

Description

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;

Interface

Ports

Description

p1[2], p2[2]

Input and output port of the gyrator (columnvectors with size 2).

Causality

 

p1 notequal p2

 

Inputs

 

r[2,2]

Modulated transform ratio (size [2,2]).

Limitations

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.