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Uniqueness of solutions of networks with two terminal piecewise linear resistors

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2 Author(s)
V. C. Prasad ; Dept. of Electr. Eng., Indian Inst. of Technol., New Delhi, India ; V. P. Prakash

For networks containing resistors, independent-sources, gyrators, ideal transformers, diodes and other saturating monotone piecewise linear resistors, a new condition is proposed to guarantee uniqueness of solutions. This is both necessary and sufficient and is easy to test. It requires that the characteristics should satisfy a condition with the null vectors of the matrix of the linear part of the network whenever it is singular. Diodes with infinite reverse resistance are also allowed in the formulation

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IEE Proceedings - Circuits, Devices and Systems  (Volume:141 ,  Issue: 5 )