On approximate phasor models in dissipative bilinear systems

Author

Tadmor, Gilead

Author_Institution

Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA

Volume

49

Issue

8

fYear

2002

fDate

8/1/2002 12:00:00 AM

Firstpage

1167

Lastpage

1179

Abstract

Dynamic phasors models capture transients in (main) harmonic coefficients of periodically dominated systems, and their utility in state approximations is supported by machine and power systems case studies. The author explores analytical plausibility arguments, and inherent restrictions of such approximations in dissipative systems with quadratically nonlinear lossless components.

Keywords

approximation theory; bilinear systems; harmonics; machine theory; modelling; power electronics; power systems; transient analysis; approximate phasor models; dissipative bilinear systems; dynamic phasors; electric machines; harmonic balancing equations; harmonic coefficients; nonperiodic transients; power systems; quadratically nonlinear lossless components; steady-state analysis; switching power electronics; transients; Differential equations; Nonlinear equations; Nonlinear systems; Power system analysis computing; Power system dynamics; Power system harmonics; Power system modeling; Power system transients; Steady-state; Time domain analysis;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/TCSI.2002.801251

Filename

1023020