Finding All Solutions of Piecewise-Linear Resistive Circuits Containing Neither Voltage nor Current Controlled Resistors
Summary :
Recently, efficient algorithms that exploit the separability of nonlinear mappings have been proposed for finding all solutions of piecewise-linear resistive circuits. In this letter, it is shown that these algorithms can be extended to circuits containing piecewise-linear resistors that are neither voltage nor current controlled. Using the parametric representation for these resistors, the circuits can be described by systems of nonlinear equations with separable mappings. This separability is effectively exploited in finding all solutions. A numerical example is given, and it is demonstrated that all solutions are computed very rapidly by the new algorithm.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E77-A No.3 pp.573-576
- Publication Date
- 1994/03/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Nonlinear Circuits and Systems
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Kiyotaka YAMAMURA, "Finding All Solutions of Piecewise-Linear Resistive Circuits Containing Neither Voltage nor Current Controlled Resistors" in IEICE TRANSACTIONS on Fundamentals,
vol. E77-A, no. 3, pp. 573-576, March 1994, doi: .
Abstract: Recently, efficient algorithms that exploit the separability of nonlinear mappings have been proposed for finding all solutions of piecewise-linear resistive circuits. In this letter, it is shown that these algorithms can be extended to circuits containing piecewise-linear resistors that are neither voltage nor current controlled. Using the parametric representation for these resistors, the circuits can be described by systems of nonlinear equations with separable mappings. This separability is effectively exploited in finding all solutions. A numerical example is given, and it is demonstrated that all solutions are computed very rapidly by the new algorithm.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_3_573/_p
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@ARTICLE{e77-a_3_573,
author={Kiyotaka YAMAMURA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Finding All Solutions of Piecewise-Linear Resistive Circuits Containing Neither Voltage nor Current Controlled Resistors},
year={1994},
volume={E77-A},
number={3},
pages={573-576},
abstract={Recently, efficient algorithms that exploit the separability of nonlinear mappings have been proposed for finding all solutions of piecewise-linear resistive circuits. In this letter, it is shown that these algorithms can be extended to circuits containing piecewise-linear resistors that are neither voltage nor current controlled. Using the parametric representation for these resistors, the circuits can be described by systems of nonlinear equations with separable mappings. This separability is effectively exploited in finding all solutions. A numerical example is given, and it is demonstrated that all solutions are computed very rapidly by the new algorithm.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - Finding All Solutions of Piecewise-Linear Resistive Circuits Containing Neither Voltage nor Current Controlled Resistors
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 573
EP - 576
AU - Kiyotaka YAMAMURA
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 1994
AB - Recently, efficient algorithms that exploit the separability of nonlinear mappings have been proposed for finding all solutions of piecewise-linear resistive circuits. In this letter, it is shown that these algorithms can be extended to circuits containing piecewise-linear resistors that are neither voltage nor current controlled. Using the parametric representation for these resistors, the circuits can be described by systems of nonlinear equations with separable mappings. This separability is effectively exploited in finding all solutions. A numerical example is given, and it is demonstrated that all solutions are computed very rapidly by the new algorithm.
ER -
English
