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The Steady-State Analysis of Integrated Circuits Using Homotopy Methods  

Authors
 Rusakov S.G.
 Ulyanov S.L.
Date of publication
 2021
DOI
 10.31114/2078-7707-2021-4-7-13

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

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