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A converse of Tellegen's theorem

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1 Author(s)
Cel, J. ; Warszawska 24b/56, Konskie, Poland

Let N and N˜ be directed networks having the same number of branches labeled correspondingly. The main result is that if uT i˜=iTu˜ for all vectors of corresponding branch voltages u, u˜ and currents i,i˜ satisfying Kirchhoff's voltage and current laws in every loop and cutset of N and N, then under imposed correspondence of branches the networks are 2-isomorphic. This establishes the converse to Tellegen's famous theorem

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:44 ,  Issue: 2 )