Regular Papers

International Journal of Control, Automation and Systems 2005; 3(2): 270-277

© The International Journal of Control, Automation, and Systems

Decentralized Control for Multimachine Power Systems with Nonlinear Interconnections and Disturbances

Kyu-Il Jung, Kwang-Youn Kim, Tae-Woong Yoon*, and Gilsoo Jang

Korea University, Korea

Abstract

In this paper, a decentralized control problem is considered for multimachine power systems with nonlinear interconnections and disturbances. A direct feedback linearization compensator is employed to cancel most of the nonlinearities, and then a backstepping procedure is applied to deal with the interconnections and to reduce the effects of a disturbance that does not satisfy the matching condition. In this procedure, the disturbance is handled by using a smooth approximation of the signum function. Practical stability is achieved under the assumption that the infinite norm of the disturbance is known. However, even in the case where the infinite norm of the disturbance is not known precisely, the proposed control system still guarantees L2 stability. Furthermore, the origin is globally uniformly asymptotically stable in the absence of the disturbance. A three-machine power system is considered as an application example.

Keywords Backstepping, decentralized control, nonlinear systems, power system control, robust control.

Article

Regular Papers

International Journal of Control, Automation and Systems 2005; 3(2): 270-277

Published online June 1, 2005

Copyright © The International Journal of Control, Automation, and Systems.

Decentralized Control for Multimachine Power Systems with Nonlinear Interconnections and Disturbances

Kyu-Il Jung, Kwang-Youn Kim, Tae-Woong Yoon*, and Gilsoo Jang

Korea University, Korea

Abstract

In this paper, a decentralized control problem is considered for multimachine power systems with nonlinear interconnections and disturbances. A direct feedback linearization compensator is employed to cancel most of the nonlinearities, and then a backstepping procedure is applied to deal with the interconnections and to reduce the effects of a disturbance that does not satisfy the matching condition. In this procedure, the disturbance is handled by using a smooth approximation of the signum function. Practical stability is achieved under the assumption that the infinite norm of the disturbance is known. However, even in the case where the infinite norm of the disturbance is not known precisely, the proposed control system still guarantees L2 stability. Furthermore, the origin is globally uniformly asymptotically stable in the absence of the disturbance. A three-machine power system is considered as an application example.

Keywords: Backstepping, decentralized control, nonlinear systems, power system control, robust control.

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

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eISSN 2005-4092
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