A class of relaxation algorithms for finding the periodic steady-state solution in nonlinear systems

被引：11

作者：

Frey, DR ^{[1
]}

机构：

[1] Lehigh Univ, Dept Elect Engn & Comp Sci, Bethlehem, PA 18015 USA

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1998年 / 45卷 / 06期

关键词：

D O I：

10.1109/81.678483

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

An improvement in the author's previous algorithm for computing periodic steady-state solutions in nonautonomous systems is proposed that enables efficient computation of the solutions in autonomous systems. In addition, the derivations more clearly demonstrate the impact that the s- to z-plane mapping has on the equation formulation, specifically in the computation of the "A" and "B" matrices. A class of relaxation algorithms is proposed for the efficient solution of both nonautonomous and autonomous systems. Finally, simulation results on a van der Pol oscillator are presented that demonstrate the potential of the proposed algorithms. In addition, these simulations show how the use of different mappings from the s- to z-plane effect the solution estimates, and how the use of different mappings may be exploited to improve the efficiency of finding solutions.

引用

页码：659 / 663

页数：5

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