| Presentation | 2017-10-05 Complete analysis of piecewise-linear resistive circuits using integer programming Ryota Watanabe, Hiroki Takahara, Kiyotaka Yamamura, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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) |
| Keyword(in English) | nonlinear circuit / circuit simulation / finding all solutions / integer programming / linear complementarity problem |
| Paper # | CAS2017-26,NLP2017-51 |
| Date of Issue | 2017-09-28 (CAS, NLP) |
| Conference Information | |
| Committee | NLP / CAS |
|---|---|
| Conference Date | 2017/10/5(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Machinaka Campus Nagaoka |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | etc. |
| Chair | Masaharu Adachi(Tokyo Denki Univ.) / Mitsuru Hiraki(Renesas) |
| Vice Chair | Norikazu Takahashi(Okayama Univ.) / Hideaki Okazaki(Shonan Inst. of Tech.) |
| Secretary | Norikazu Takahashi(Nagaoka Univ. of Tech.) / Hideaki Okazaki(Hiroshima Inst. of Tech.) |
| Assistant | Toshihiro Tachibana(Shonan Inst. of Tech.) / Masayuki Kimura(Kyoto Univ.) / Yohei Nakamura(Hitachi) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems / Technical Committee on Circuits and Systems |
|---|---|
| Language | JPN |
| 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.) |
| Date | 2017-10-05 |
| Paper # | CAS2017-26,NLP2017-51 |
| Volume (vol) | vol.117 |
| Number (no) | CAS-225,NLP-226 |
| Page | pp.pp.11-16(CAS), pp.11-16(NLP), |
| #Pages | 6 |
| Date of Issue | 2017-09-28 (CAS, NLP) |