On the Stability of dc Operating Points Obtained by Solving Hybrid Equations

Kiyotaka YAMAMURA; Tooru SEKIGUCHI

On the Stability of dc Operating Points Obtained by Solving Hybrid Equations

Kiyotaka YAMAMURA, Tooru SEKIGUCHI

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In circuit simulation, dc operating points of nonlinear circuits are obtained by solving circuit equations. In this paper, we consider "hybrid equations" as the circuit equations and discuss the stability of dc operating points obtained by solving hybrid equations. We give a simple criterion for identifying unstable operating points from the information of the hybrid equations. We also give a useful criterion for identifying initial points from which homotopy methods coverge to stable operating points with high possibility. These results are derived from the theory of dc operating point stability developed by M. M. Green and A. N. Willson, Jr.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E80-A No.11 pp.2291-2299

Publication Date: 1997/11/25

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Category: Nonlinear Problems

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Kiyotaka YAMAMURA, Tooru SEKIGUCHI, "On the Stability of dc Operating Points Obtained by Solving Hybrid Equations" in IEICE TRANSACTIONS on Fundamentals, vol. E80-A, no. 11, pp. 2291-2299, November 1997, doi: .
Abstract: In circuit simulation, dc operating points of nonlinear circuits are obtained by solving circuit equations. In this paper, we consider "hybrid equations" as the circuit equations and discuss the stability of dc operating points obtained by solving hybrid equations. We give a simple criterion for identifying unstable operating points from the information of the hybrid equations. We also give a useful criterion for identifying initial points from which homotopy methods coverge to stable operating points with high possibility. These results are derived from the theory of dc operating point stability developed by M. M. Green and A. N. Willson, Jr.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e80-a_11_2291/_p

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@ARTICLE{e80-a_11_2291,
author={Kiyotaka YAMAMURA, Tooru SEKIGUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Stability of dc Operating Points Obtained by Solving Hybrid Equations},
year={1997},
volume={E80-A},
number={11},
pages={2291-2299},
abstract={In circuit simulation, dc operating points of nonlinear circuits are obtained by solving circuit equations. In this paper, we consider "hybrid equations" as the circuit equations and discuss the stability of dc operating points obtained by solving hybrid equations. We give a simple criterion for identifying unstable operating points from the information of the hybrid equations. We also give a useful criterion for identifying initial points from which homotopy methods coverge to stable operating points with high possibility. These results are derived from the theory of dc operating point stability developed by M. M. Green and A. N. Willson, Jr.},
keywords={},
doi={},
ISSN={},
month={November},}

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TY - JOUR
TI - On the Stability of dc Operating Points Obtained by Solving Hybrid Equations
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2291
EP - 2299
AU - Kiyotaka YAMAMURA
AU - Tooru SEKIGUCHI
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E80-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 1997
AB - In circuit simulation, dc operating points of nonlinear circuits are obtained by solving circuit equations. In this paper, we consider "hybrid equations" as the circuit equations and discuss the stability of dc operating points obtained by solving hybrid equations. We give a simple criterion for identifying unstable operating points from the information of the hybrid equations. We also give a useful criterion for identifying initial points from which homotopy methods coverge to stable operating points with high possibility. These results are derived from the theory of dc operating point stability developed by M. M. Green and A. N. Willson, Jr.
ER -