Development of a method of harmonic balance for multi-periodic solutions of the nonlinear equations

Author

Troushin, S.V.

Author_Institution

Novosibirsk State Tech. Univ., Russia

fYear

2001

fDate

2001

Firstpage

30

Lastpage

44

Abstract

The problems of implementation of the harmonic balance (HB) method for multi-periodic effects are discussed. The algorithms of optimization of fundamental frequencies set of the HB method, permitting one to reduce its number, are offered which promotes a diminution of HB set of equations size and realize the most effective HB algorithm. A new approach to the solution of the HB set of equations is offered, which allows one to exclude errors of spectrums superposition at commensurable fundamental frequencies. The effective algorithm of numerical calculation of the HB Jacobian matrix for multi-periodic effects is offered

Keywords

Jacobian matrices; circuit analysis computing; nonlinear equations; nonlinear network analysis; numerical analysis; HB algorithm; HB method; HB set of equations; Jacobian matrix; fundamental frequencies set; harmonic balance method; multi-periodic effects; multi-periodic solutions; nonlinear equations; numerical calculation; optimization; Algorithm design and analysis; Circuit simulation; Fourier transforms; Frequency conversion; Jacobian matrices; Multidimensional systems; Nonlinear circuits; Nonlinear equations; Optimization methods; Shape;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Electronics: Measurements, Identification, Application Conference, 2001. MEMIA 2001

Conference_Location

Novosibirsk

Print_ISBN

0-7803-6743-X

Type

conf

DOI

10.1109/MEMIA.2001.982315

Filename

982315