Fast calculation of a voltage stability index of power systems

Author

Hong, Young-Huei ; Pan, Ching-Tsai ; Lin, Wen-Wei

Author_Institution

Dept. of Syst. Planning, Taiwan Power Co., Taipei, Taiwan

Volume

12

Issue

4

fYear

1997

fDate

11/1/1997 12:00:00 AM

Firstpage

1555

Lastpage

1560

Abstract

The minimum singular value of the Jacobian matrix of the load flow equation may have been preferred as an indicator of voltage collapse when the static voltage stability of power systems is studied. In this paper, the authors propose a highly efficient algorithm to calculate the smallest singular value of a Jacobian matrix of the load flow equation by employing the noniterative characteristic of an incremental condition estimation (ICE) method and the sparsity characteristic of large scale power networks. Both theoretical bases and computation costs of the algorithm are also detailed in the context. Finally, a practical application example is also given for demonstration

Keywords

Jacobian matrices; load flow; power system analysis computing; power system stability; singular value decomposition; sparse matrices; CPU time; Jacobian matrix; computer simulation; incremental condition estimation method; load flow equation; minimum singular value; power systems; sparsity characteristic; static voltage stability; voltage collapse; voltage stability index; Computational efficiency; Equations; Ice; Jacobian matrices; Load flow; Matrix decomposition; Power system planning; Power system stability; Singular value decomposition; Voltage;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/59.627858

Filename

627858