The Steady-State Analysis of Integrated Circuits Using Homotopy Methods |
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Authors |
| Rusakov S.G. |
| Ulyanov S.L. |
Date of publication |
| 2021 |
DOI |
| 10.31114/2078-7707-2021-4-7-13 |
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Abstract |
| The application of conventional transient analysis to find the periodic steady-state solution is often inefficient due to long simulation time. Unlike the transient analysis the periodic steady-state methods directly compute the steady-state solution by solving a periodic boundary-value problem. The shooting method transforms a periodic boundary-value problem into the system of nonlinear algebraic equations. The Newton’s method is usually used to numerically solve the system. To provide the convergence of the method a proper initial solution must be given. In this paper a numerical steady-state method for simulating non-autonomous circuits is presented. In this method the globally convergent homotopy algorithm is applied to solve the system of nonlinear algebraic equations. Examples of steady-state analysis are given to demonstrate the numerical accuracy and efficiency of the proposed method. |
Keywords |
| circuit simulation, steady-state, shooting method, methods of homotopy. |
Library reference |
| Rusakov S.G., Ulyanov S.L. The Steady-State Analysis of Integrated Circuits Using Homotopy Methods // Problems of Perspective Micro- and Nanoelectronic Systems Development - 2021. Issue 4. P. 7-13. doi:10.31114/2078-7707-2021-4-7-13 |
URL of paper |
| http://www.mes-conference.ru/data/year2021/pdf/D050.pdf |