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Paper Abstract and Keywords
Presentation 2016-10-28 13:00
An algorithm for finding all DC solutions of nonlinear circuits using triangular LP tests
Kazuki Teraya, Kiyotaka Yamamura (Chuo Univ.) CAS2016-55 NLP2016-81
Abstract (in Japanese) (See Japanese page) 
(in English) In the computer-aided design of electronic circuits, finding all solutions (DC operating points) of nonlinear circuits is an important problem to design a circuit with high reliability. In this paper, an efficient algorithm is proposed for finding all solutions of nonlinear circuits using linear programming. In the proposed algorithm, a system of nonlinear equations is transformed into a linear programming problem by surrounding the nonlinear functions (exponential functions) by right-angled triangles, and it is solved by the dual simplex method to check the non-existence of a solution in a given region. Various techniques that improve the computational efficiency of the algorithm are proposed. We also consider algorithms using smaller triangles that are right-angled triangles in the oblique coordinate systems.
Keyword (in Japanese) (See Japanese page) 
(in English) nonlinear circuit analysis / circuit simulation / linear programming / nonlinear circuit / / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 272, NLP2016-81, pp. 91-96, Oct. 2016.
Paper # NLP2016-81 
Date of Issue 2016-10-20 (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)
Download PDF CAS2016-55 NLP2016-81

Conference Information
Committee CAS NLP  
Conference Date 2016-10-27 - 2016-10-28 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NLP 
Conference Code 2016-10-CAS-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An algorithm for finding all DC solutions of nonlinear circuits using triangular LP tests 
Sub Title (in English)  
Keyword(1) nonlinear circuit analysis  
Keyword(2) circuit simulation  
Keyword(3) linear programming  
Keyword(4) nonlinear circuit  
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1st Author's Name Kazuki Teraya  
1st Author's Affiliation Chuo University (Chuo Univ.)
2nd Author's Name Kiyotaka Yamamura  
2nd Author's Affiliation Chuo University (Chuo Univ.)
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Speaker Author-1 
Date Time 2016-10-28 13:00:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # CAS2016-55, NLP2016-81 
Volume (vol) vol.116 
Number (no) no.271(CAS), no.272(NLP) 
Page pp.91-96 
#Pages 6 
Date of Issue 2016-10-20 (CAS, NLP) 

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