Robust and Low Order Power Oscillation Damper Design Through Polynomial Control

Author

Simfukwe, Dumisani D. ; Pal, B.C.

Author_Institution

Electr. & Electron. Eng. Dept., Imperial Coll. London, London, UK

Volume

28

Issue

2

fYear

2013

fDate

May-13

Firstpage

1599

Lastpage

1608

Abstract

The paper presents a method for designing low order robust controllers for stabilizing power system oscillations. The method uses polynomial control techniques. For single-input/single-output systems (SISO), the variability in operating conditions is captured using an interval polynomial. Kharitonov´s theorem is then used to characterize a fixed order robust controller guaranteeing specified damping. This gives bi-linear matrix inequality (BMI) stability conditions which are solved using the BMI solver PENBMI. The effectiveness of the method is demonstrated by designing power oscillation damping (POD) controllers for single-, four-, and 16-machine power system models.

Keywords

control system synthesis; linear matrix inequalities; power system stability; robust control; 16-machine power system model; BMI stability condition; Kharitonov theorem; PENBMI; POD controller design; SISO systems; bi-linear matrix inequality stability condition; fixed-order robust controller; four-machine power system model; interval polynomial; low-order power oscillation damper design; low-order robust controller design; polynomial control technique; power system oscillation stabilization; single-input-single-output systems; single-machine power system model; specified damping; Damping; Linear matrix inequalities; Optimization; Oscillators; Polynomials; Power system stability; Robustness; Bi-linear matrix inequality (BMI); Kharitonov theorem; controller design; polynomial methods; power oscillation damping; power system stability;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/TPWRS.2012.2215348

Filename

6311451