State-Variable Analysis of RLC Networks Containing Nonlinear Coupling Elements
- 1 February 1969
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 16 (1), 26-38
- https://doi.org/10.1109/tct.1969.1082884
Abstract
This paper deals with the state-variable analysis of the most general class of lumped time-invariantRLCnetworks. The hybrid descriptions of coupled elements are discussed in connection with the mixed analysis of networks. Sufficient conditions for the uniqueness of solutions of coupled resistor networks andRLCnetworks are given in terms of hybrid descriptions. The set of state variables are taken so that the order of state equations coincides with the number of finite natural frequencies in the linear case. A simple method for determining such a set of state variables by means of two particular trees,C-normal tree andL- normal tree, is also presented. The standard form of state equations are represented by means of a signal flow graph.Keywords
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