Paper Abstract and Keywords |
Presentation |
2017-10-05 13:50
Complete analysis of piecewise-linear resistive circuits using integer programming Ryota Watanabe, Hiroki Takahara, Kiyotaka Yamamura (Chuo Univ.) CAS2017-26 NLP2017-51 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
It is well-known that the geometry of the solution set of a piecewise-linear resistive circuit can be very complicated. The circuit can have multiple solutions, can have DC operating points that are continuous or unbounded, and can have characteristic curves that contain full polygons. Finding complete solution sets of such circuits is called {it complete analysis}. In this paper, an easily implementable method is proposed for the complete analysis of piecewise-linear resistive circuits. In this method, a piecewise-linear resistive circuit is first described by a generalized linear complementarity problem, and then it is formulated as a mixed integer programming problem. Then, it is solved by the integer programming solver CPLEX. Using the proposed method, the complete solution set can be obtained easily by solving integer programming problems only twice. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
nonlinear circuit / circuit simulation / finding all solutions / integer programming / linear complementarity problem / / / |
Reference Info. |
IEICE Tech. Rep., vol. 117, no. 226, NLP2017-51, pp. 11-16, Oct. 2017. |
Paper # |
NLP2017-51 |
Date of Issue |
2017-09-28 (CAS, NLP) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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CAS2017-26 NLP2017-51 |
Conference Information |
Committee |
NLP CAS |
Conference Date |
2017-10-05 - 2017-10-06 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Machinaka Campus Nagaoka |
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(See Japanese page) |
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etc. |
Paper Information |
Registration To |
NLP |
Conference Code |
2017-10-NLP-CAS |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Complete analysis of piecewise-linear resistive circuits using integer programming |
Sub Title (in English) |
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Keyword(1) |
nonlinear circuit |
Keyword(2) |
circuit simulation |
Keyword(3) |
finding all solutions |
Keyword(4) |
integer programming |
Keyword(5) |
linear complementarity problem |
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1st Author's Name |
Ryota Watanabe |
1st Author's Affiliation |
Chuo University (Chuo Univ.) |
2nd Author's Name |
Hiroki Takahara |
2nd Author's Affiliation |
Chuo University (Chuo Univ.) |
3rd Author's Name |
Kiyotaka Yamamura |
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Chuo University (Chuo Univ.) |
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Speaker |
Author-3 |
Date Time |
2017-10-05 13:50:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
CAS2017-26, NLP2017-51 |
Volume (vol) |
vol.117 |
Number (no) |
no.225(CAS), no.226(NLP) |
Page |
pp.11-16 |
#Pages |
6 |
Date of Issue |
2017-09-28 (CAS, NLP) |
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