Calculation of transmission line transients using polar decomposition

Author

Gustavsen, Bjern ; Semlyen, A.

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

855

Lastpage

862

Abstract

The paper presents a new power transmission line model suitable for the calculation of electromagnetic transients on overhead lines and underground cables. This is achieved by expanding the fitted modes of a conventional line model with constant transformation matrices into simple fractions on the diagonal, and by extending the transformation matrices into rectangular matrices. The new transformation matrices are then refined by a simple iteration procedure based on least squares fitting in the phase domain. The method is demonstrated to give accurate simulation results for both overhead lines and underground cables

Keywords

iterative methods; least squares approximations; matrix algebra; power system transients; power transmission lines; transmission line theory; constant transformation matrices; electromagnetic transients; iteration procedure; least squares fitting; overhead power lines; phase domain; polar decomposition; power transmission line model; rectangular matrices; simulation results; underground power cables; Cables; Delay effects; Electromagnetic modeling; Frequency dependence; Matrix decomposition; Power overhead lines; Power system transients; Power transmission lines; Transmission line matrix methods; Transmission lines;

fLanguage

English

Journal_Title

Power Delivery, IEEE Transactions on

Publisher

ieee

ISSN

0885-8977

Type

jour

DOI

10.1109/61.686984

Filename

686984