Application of vector fitting to state equation representation of transformers for simulation of electromagnetic transients

Author

Gustavsen, Bjørn ; Semlyen, Adam

Author_Institution

Dept. of Electr. Eng., Toronto Univ., Ont., Canada

Volume

13

Issue

3

fYear

1998

fDate

7/1/1998 12:00:00 AM

Firstpage

834

Lastpage

842

Abstract

This paper presents an efficient methodology for transient modeling of power transformers based on measured or calculated frequency responses. The responses are approximated with rational functions using the method of vector fitting. The resulting model is dynamically stable since only negative poles are used, and input-output stability is assured by a novel adjusting procedure. The methodology is used to formulate two different transformer models: (1) a full phase domain model realized column-by-column, and (2) a model utilizing modal diagonalization. The application of the models is demonstrated for a 410 MVA generator step up transformer

Keywords

frequency response; power transformers; transient analysis; 410 MVA; electromagnetic transients simulation; frequency responses; full phase domain model; generator step up transformer; input-output stability; modal diagonalization; negative poles; rational functions; state equation representation; transformers; transient modeling; vector fitting; Admittance; Computational modeling; Eigenvalues and eigenfunctions; Equations; Fitting; Frequency measurement; Function approximation; Power measurement; Power transformers; Stability;

fLanguage

English

Journal_Title

Power Delivery, IEEE Transactions on

Publisher

ieee

ISSN

0885-8977

Type

jour

DOI

10.1109/61.686981

Filename

686981