On the reduction of circuit equations for numerical integration.
Barmes, Vernon Travis
Parker, Sydney R.
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The reduction of circuit equations to normal form for numerical integration is considered for the general circuit where excess reactive elements, all types of linearly dependent sources, and nonlinear dissipative and reactive element are present. For the linear circuit, necessary and sufficient conditions for the existence of numerical solutions are considered and stated. For the nonlinear circuit, reduction to normal form is not always possible. Numerical solution is shown to be simplified if certain a priori conditions are satisfied in formulating the original circuit equations. A new systematic reduction procedure is presented for obtaining the normal form equations. This procedure is also extended to a new procedure for obtaining transfer and immittence functions of the linear circuit from a proper tree formulation.
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