Title :
On the equivalence of various methods for finding the periodic steady state solution of nonlinear networks
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Lehigh Univ., Bethlehem, PA, USA
Abstract :
A fundamental equivalence is shown between the harmonic balance, the sample balance, the generalized sample balance, and the shooting methods. This equivalence is shown in terms of the basic equation formulation for the methods and the iteration equations used to find solutions. The paper is intended to be tutorial as well as providing new analysis
Keywords :
iterative methods; nonlinear network analysis; basic equation formulation; fundamental equivalence; generalized sample balance; harmonic balance; iteration equations; nonlinear networks; periodic steady state solution; sample balance; shooting methods; AC generators; Discrete Fourier transforms; Electronic mail; Fourier series; Frequency domain analysis; Matrix converters; Nonlinear equations; Steady-state; Time frequency analysis; Voltage;
Conference_Titel :
Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-5471-0
DOI :
10.1109/ISCAS.1999.777574
