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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
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. (No. 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF 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 
Topics (in Japanese) (See Japanese page) 
Topics (in English) 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)  
Keyword(1) nonlinear circuit  
Keyword(2) circuit simulation  
Keyword(3) finding all solutions  
Keyword(4) integer programming  
Keyword(5) linear complementarity problem  
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  
3rd Author's Affiliation Chuo University (Chuo Univ.)
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Date Time 2017-10-05 13:50:00 
Presentation Time 25 
Registration for NLP 
Paper # IEICE-CAS2017-26,IEICE-NLP2017-51 
Volume (vol) IEICE-117 
Number (no) no.225(CAS), no.226(NLP) 
Page pp.11-16 
#Pages IEICE-6 
Date of Issue IEICE-CAS-2017-09-28,IEICE-NLP-2017-09-28 

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