Recently, the compound element pseudo transient analysis, CEPTA, method is regarded as an efficient practical method to find DC operating points of nonlinear circuits when the Newton-Raphson method fails. In the previous CEPTA method, an effective SPICE3 implementation algorithm was proposed without expanding the Jacobian matrix. However the limitation of step size was not well considered. Thus, the non-convergence problem occurs and the simulation efficiency is still a big challenge for current LSI nonlinear cicuits, especially for some practical large-scale circuits. Therefore, in this paper, we propose a new SPICE3 implementation algorithm and an embedding algorithm, which is where to insert the pseudo capacitors, for the CEPTA method. The proposed implementation algorithm has no limitation for step size and can significantly improve simulation efficiency. Considering the existence of various types of circuits, we extend some possible embedding positions. Numerical examples demonstrate the improvement of simulation efficiency and convergence performance.
Zhou JIN
Waseda University
Xiao WU
Waseda University
Dan NIU
Waseda University
Yasuaki INOUE
Waseda University
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Zhou JIN, Xiao WU, Dan NIU, Yasuaki INOUE, "Effective Implementation and Embedding Algorithms of CEPTA Method for Finding DC Operating Points" in IEICE TRANSACTIONS on Fundamentals,
vol. E96-A, no. 12, pp. 2524-2532, December 2013, doi: 10.1587/transfun.E96.A.2524.
Abstract: Recently, the compound element pseudo transient analysis, CEPTA, method is regarded as an efficient practical method to find DC operating points of nonlinear circuits when the Newton-Raphson method fails. In the previous CEPTA method, an effective SPICE3 implementation algorithm was proposed without expanding the Jacobian matrix. However the limitation of step size was not well considered. Thus, the non-convergence problem occurs and the simulation efficiency is still a big challenge for current LSI nonlinear cicuits, especially for some practical large-scale circuits. Therefore, in this paper, we propose a new SPICE3 implementation algorithm and an embedding algorithm, which is where to insert the pseudo capacitors, for the CEPTA method. The proposed implementation algorithm has no limitation for step size and can significantly improve simulation efficiency. Considering the existence of various types of circuits, we extend some possible embedding positions. Numerical examples demonstrate the improvement of simulation efficiency and convergence performance.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E96.A.2524/_p
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@ARTICLE{e96-a_12_2524,
author={Zhou JIN, Xiao WU, Dan NIU, Yasuaki INOUE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Effective Implementation and Embedding Algorithms of CEPTA Method for Finding DC Operating Points},
year={2013},
volume={E96-A},
number={12},
pages={2524-2532},
abstract={Recently, the compound element pseudo transient analysis, CEPTA, method is regarded as an efficient practical method to find DC operating points of nonlinear circuits when the Newton-Raphson method fails. In the previous CEPTA method, an effective SPICE3 implementation algorithm was proposed without expanding the Jacobian matrix. However the limitation of step size was not well considered. Thus, the non-convergence problem occurs and the simulation efficiency is still a big challenge for current LSI nonlinear cicuits, especially for some practical large-scale circuits. Therefore, in this paper, we propose a new SPICE3 implementation algorithm and an embedding algorithm, which is where to insert the pseudo capacitors, for the CEPTA method. The proposed implementation algorithm has no limitation for step size and can significantly improve simulation efficiency. Considering the existence of various types of circuits, we extend some possible embedding positions. Numerical examples demonstrate the improvement of simulation efficiency and convergence performance.},
keywords={},
doi={10.1587/transfun.E96.A.2524},
ISSN={1745-1337},
month={December},}
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TY - JOUR
TI - Effective Implementation and Embedding Algorithms of CEPTA Method for Finding DC Operating Points
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2524
EP - 2532
AU - Zhou JIN
AU - Xiao WU
AU - Dan NIU
AU - Yasuaki INOUE
PY - 2013
DO - 10.1587/transfun.E96.A.2524
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E96-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2013
AB - Recently, the compound element pseudo transient analysis, CEPTA, method is regarded as an efficient practical method to find DC operating points of nonlinear circuits when the Newton-Raphson method fails. In the previous CEPTA method, an effective SPICE3 implementation algorithm was proposed without expanding the Jacobian matrix. However the limitation of step size was not well considered. Thus, the non-convergence problem occurs and the simulation efficiency is still a big challenge for current LSI nonlinear cicuits, especially for some practical large-scale circuits. Therefore, in this paper, we propose a new SPICE3 implementation algorithm and an embedding algorithm, which is where to insert the pseudo capacitors, for the CEPTA method. The proposed implementation algorithm has no limitation for step size and can significantly improve simulation efficiency. Considering the existence of various types of circuits, we extend some possible embedding positions. Numerical examples demonstrate the improvement of simulation efficiency and convergence performance.
ER -