Variable order and variable step-size integration method for transient analysis programs

Author

Kato, Toshiji ; Ikeuchi, Kenji

Author_Institution

Dept. of Electr. Eng., Doshisha Univ., Kyoto, Japan

Volume

6

Issue

1

fYear

1991

fDate

2/1/1991 12:00:00 AM

Firstpage

206

Lastpage

213

Abstract

A variable-order and variable-step-size integration method using the backward differentiation formulas (VOVS-BDF) is introduced to optimize numerical integration orders and step sizes for power transient analysis. The basic concept and the numerical stability of the VOVS-BDF are discussed and shown for efficient computer-aided power transient analysis. A new searching method for break points is proposed to adjust the step-sizes. The VOVS-BDF is validated through analysis examples of an instantaneously controlled inverter circuit and a single-conductor line system. The procedures for the necessary program changes are also described

Keywords

power system analysis computing; transients; VOVS-BDF; backward differentiation formulas; computer-aided power transient analysis; inverter; numerical stability; power systems; single-conductor line system; variable order integration method; variable step-size integration method; Circuit stability; Damping; Differential equations; Nonlinear equations; Numerical stability; Optimization methods; Power system analysis computing; Power system transients; Stability analysis; Transient analysis;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/59.131064

Filename

131064