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Approximation of Diode Like Dependencies in the Analysis of Electrical Networks

IP.com Disclosure Number: IPCOM000075663D
Original Publication Date: 1971-Oct-01
Included in the Prior Art Database: 2005-Feb-24
Document File: 1 page(s) / 12K

Publishing Venue

IBM

Related People

Gaumann, G: AUTHOR [+2]

Abstract

Statistical analysis of the OC state in nonlinear networks may require a large number of system solutions, depending upon the number of cases to be evaluated and the number of iteration steps necessary to reach the quiescent point. The DC iteration methods normally used in network analysis programs compare the solutions for all nonlinear dependent variables at each iteration step. If two subsequent solutions do not differ by more than a particular allowable error, convergence has been reached. These more general methods usually are not restricted to certain types of nonlinear dependency, but in many cases convergence is rather slow and may even fail in badly conditioned systems.

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Approximation of Diode Like Dependencies in the Analysis of Electrical Networks

Statistical analysis of the OC state in nonlinear networks may require a large number of system solutions, depending upon the number of cases to be evaluated and the number of iteration steps necessary to reach the quiescent point. The DC iteration methods normally used in network analysis programs compare the solutions for all nonlinear dependent variables at each iteration step. If two subsequent solutions do not differ by more than a particular allowable error, convergence has been reached. These more general methods usually are not restricted to certain types of nonlinear dependency, but in many cases convergence is rather slow and may even fail in badly conditioned systems.

The iteration method described is restricted to networks containing nonlinearities having diode-like dependencies. The characteristics curves of the nonlinear dependencies are approximated by linear segments, assuming positive derivatives throughout the full range employed. The segments are numbered in ascending order and each one defines characteristical values for the two elements, which represent an equivalence to the nonlinearity to be described. In an electrical network, these elements are a voltage generator in series with a current-dependent resistor.

Iteration normally starts at the center of the various segments. The input to the iteration routine, however, provides for the definition of any starting...