Existence of numerical solutions and the order of linear circuits with dependent sources
- 1 May 1971
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 18 (3) , 368-374
- https://doi.org/10.1109/tct.1971.1083290
Abstract
A necessary and sufficient condition for the existence of a solution to a set of linear circuit equations with dependent sources is shown to be that a submatrix derived from the coefficients of dissipative elements has rank equal to the number of dissipative elements. This result is particularly useful in computer-aided circuit analysis to determine a cause when a numerical solution does not converge. In the development a general systematic technique for reducing circuit equations to normal form is presented. It is also demonstrated that when dependent sources are present, the order of a circuit is not necessarily equal to the number of independent energy-storing elements. The techniques and conclusions are illustrated with some simple nontrivial examples.Keywords
This publication has 3 references indexed in Scilit:
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