Modeling of Three-Phase Dynamic Systems Using Complex Transfer Functions and Transfer Matrices

Author

Harnefors, Lennart

Author_Institution

ABB Power Syst., Ludvika

Volume

54

Issue

4

fYear

2007

Firstpage

2239

Lastpage

2248

Abstract

A compilation of methods for modeling and analysis of three-phase dynamic systems-such as AC machines, resistance-inductance-capacitance components, and power electronic converters including their control algorithms-using complex transfer functions and transfer matrices is presented. Restrictions of the two modeling methods and relations between them are given. Various frequency-domain results, including closed-loop stability theory, are presented. The theory is illustrated by several examples showing areas of application.

Keywords

AC machines; RLC circuits; closed loop systems; frequency-domain analysis; power convertors; stability; transfer function matrices; AC machines; closed-loop stability theory; complex transfer functions; complex transfer matrices; control algorithm; frequency-domain analysis; power electronic converters; resistance-inductance-capacitance components; three-phase dynamic system modeling; AC machines; Algorithm design and analysis; Frequency domain analysis; Matrix converters; Power electronics; Power system dynamics; Power system modeling; Power system stability; Symmetric matrices; Transfer functions; Complex transfer functions; frequency analysis; space vectors; stability; transfer matrices;

fLanguage

English

Journal_Title

Industrial Electronics, IEEE Transactions on

Publisher

ieee

ISSN

0278-0046

Type

jour

DOI

10.1109/TIE.2007.894769

Filename

4276947