Homotopy method with a formal stop criterion applied to circuit simulation
The continuous scaling for fabrication technologies of electronic circuits demands the design of new and improved simulation techniques for integrated circuits. Therefore, this work shows a new double bounded polynomial homotopy based on a polynomial formulation with four solution lines separated by...
| Authors: | , , , , |
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2011 |
| Country: | México |
| Institution: | Instituto Nacional de Astrofísica, Óptica y Electrónica |
| Repository: | Repositorio Institucional del INAOE |
| Language: | English |
| OAI Identifier: | oai:inaoe.repositorioinstitucional.mx:1009/1732 |
| Online Access: | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/1732 |
| Access Level: | Open access |
| Keyword: | info:eu-repo/classification/Homotopy continuation methods/Homotopy continuation methods info:eu-repo/classification/Multistable circuits/Multistable circuits info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2203 info:eu-repo/classification/cti/220307 |
| Summary: | The continuous scaling for fabrication technologies of electronic circuits demands the design of new and improved simulation techniques for integrated circuits. Therefore, this work shows a new double bounded polynomial homotopy based on a polynomial formulation with four solution lines separated by a fixed distance. The new homotopy scheme presents a bounding between the two internal solution lines and the symmetry axis, which allows to establish a stop criterion for the simulation in DC. Besides, the initial and final points on this new double bounded homotopy can be set arbitrarily. Finally, mathematical properties for the new homotopy are introduced and exemplified using a benchmark circuit. |
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