A new eigen-sensitivity theory of augmented matrix and its applications to power system stability analysis

Author

Nam, Hae-Kon ; Kim, Yong-Ku ; Shim, Kwan-Shik ; Lee, Kwang Y.

Author_Institution

Dept. of Electr. Eng., Chonnam Nat. Univ., Kwangju, South Korea

Volume

15

Issue

1

fYear

2000

fDate

2/1/2000 12:00:00 AM

Firstpage

363

Lastpage

369

Abstract

In this paper, a new second-order eigen-sensitivity and perturbation theory of the augmented matrix is developed using of only dominant eigenvalues and their left and right-eigenvectors. Eigen-sensitivities on various system and control parameters are computed for the analysis of small signal and voltage stability of the New England power system. It is also shown that the sensitivity analysis may be used as an invaluable tool for analysis, planning, and operation of power systems: identification of the cause of the stability problems and weak lines; optimal tuning of control parameters; determining locations of compensating devices for stability enhancement such as capacitor compensation and FACTS devices

Keywords

control system analysis; eigenvalues and eigenfunctions; matrix algebra; perturbation theory; power system control; power system stability; sensitivity analysis; FACTS devices; augment matrix eigen-sensitivity theory; capacitor compensation; control simulation; dominant eigenvalues; eigenvectors; optimal control parameters tuning; perturbation theory; power system stability analysis; sensitivity analysis; small-signal stability; stability enhancement; stability problems identification; voltage stability; weak lines identification; Control systems; Eigenvalues and eigenfunctions; Power system analysis computing; Power system control; Power system planning; Power system stability; Power systems; Signal analysis; Stability analysis; Voltage control;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/59.852145

Filename

852145