First harmonic analysis: a circuit theory point of view

Author

Bonatti, Ivanil Sebastião ; Peres, Pedro Luis Dias ; Pomilio, José Antenor

Author_Institution

Sch. of Electr. & Comput. Eng., Univ. of Campinas, Brazil

Volume

42

Issue

1

fYear

1999

fDate

2/1/1999 12:00:00 AM

Firstpage

65

Lastpage

71

Abstract

The first harmonic method is usually applied to nonlinear system analysis, being particularly adequate for the study of oscillations. As shown in this paper, oscillators analysis can be performed by using only basic concepts of circuit theory. The nonlinearities present in the oscillator electric circuits are approximated, via the first harmonic method, by resistance or source-controlled equivalent circuit elements, and the resulting linear circuits are entirely analyzed via conventional circuit theory. As a result, the analysis of electric oscillators and the first harmonic method are introduced in a comprehensible electric circuit context

Keywords

circuit oscillations; equivalent circuits; harmonic analysis; nonlinear network analysis; oscillators; electric oscillators analysis; equivalent circuit elements; first harmonic method; linear circuits; nonlinear circuit analysis; oscillations; Bridge circuits; Circuit analysis; Circuit theory; Electric resistance; Frequency; Harmonic analysis; Nonlinear systems; Oscillators; Stability analysis; Voltage;

fLanguage

English

Journal_Title

Education, IEEE Transactions on

Publisher

ieee

ISSN

0018-9359

Type

jour

DOI

10.1109/13.746337

Filename

746337