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A discrete‐time approach to the steady state analysis and optimization of non‐linear autonomous circuits
Author(s) -
Palàschönwälder Pere,
Mirösans J. M.
Publication year - 1995
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490230405
Subject(s) - discretization , harmonic balance , algebraic equation , mathematics , linear circuit , generalization , time domain , linear equation , discrete time and continuous time , steady state (chemistry) , electronic circuit , computer science , mathematical optimization , control theory (sociology) , nonlinear system , equivalent circuit , mathematical analysis , engineering , voltage , physics , control (management) , quantum mechanics , artificial intelligence , electrical engineering , computer vision , statistics , chemistry
In this paper a method for the steady state analysis and optimization of non‐linear autonomous circuits is described. After discretizing the linear part of the circuit, a system of non‐linear algebraic equations is obtained. the final formulation is written entirely in the discrete‐time domain, making it unnecessary to repeatedly take direct and inverse DFTs during the solution process. Furthermore, it is shown that the resulting formulation may be viewed as a generalization of the harmonic balance equations. an analytic method for computing the exact partial derivatives of the resulting equations with respect to the samples of the variables, the oscillation period and the circuit element values is described, making the proposed approach efficient for both analysis and optimization. Different globally convergent techniques for solving the non‐linear system of equations are described, with emphasis on an algorithm based on fast simulated diffusion. Selected application examples are provided to validate the proposed approach.