A sensitivity analysis of eigenstructures [in power system dynamic stability]

Author

Lima, E.E.S.

Author_Institution

Dept. of Electr. Eng., Brasilia Univ., Brazil

Volume

12

Issue

3

fYear

1997

fDate

8/1/1997 12:00:00 AM

Firstpage

1393

Lastpage

1399

Abstract

The concepts of condition number, taken from numerical linear algebra combined with logarithmic sensitivity are applied to analyze the robustness for model uncertainty of power systems eigensets. Sensitivity matrices to facilitate the estimations of the eigenvalue sensitivities in relation to elements of the state matrix are proposed. Eigenvector derivatives are analyzed and it is evidenced the trend of power system eigenvectors to present large sensitivities. A case study of a realistic single machine with excitation system connected to an infinite bus example is presented. Lack of stability robustness and also of eigenvector robustness are demonstrated

Keywords

eigenvalues and eigenfunctions; numerical stability; power system stability; sensitivity analysis; state-space methods; eigenstructures; eigenvector derivatives; logarithmic sensitivity; model uncertainty; numerical linear algebra; power system dynamic stability; power systems eigensets; robustness; sensitivity analysis; sensitivity matrices; state matrix; state-space representation; Linear algebra; Power system analysis computing; Power system dynamics; Power system modeling; Power system stability; Robust stability; Robustness; Sensitivity analysis; State estimation; Uncertainty;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/59.630487

Filename

630487