state space of mutual inductance

May 25, 2007 1 Replies

Hi,



has anybody ever calculated a state space matrix of a system with a mutual inductance?



I'm really thankfull for every suggestion.



Alex



No but the application is reasonably obvious using the equation from wikipedia

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dI1/dt+M dI2/dt V2=L2 dI2/dt+M dI1/dt Now move the derivatives to the left, and invert the matrix [L1 M, M L2] to form a block for the A matrix. Wire the A matrix subsection up to the other parts of the circuit. Usually this is obvious but occasionally you will lower rank results and you will have to project down to a full rank subspace. Does this make sense to you?

Ray

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