Applying sum-of-squares decomposition technique to power system robust control problem

Mingyuan Chen, Xiaocong Li, Constantino Manuel Lagoa, Lanmei Cong, Junhua Xu

Research output: Contribution to journalArticle

Abstract

For the first time, we apply the sum-of-squares (SOS) decomposition technique for robust control of power systems. We propose an SOS L2 robust control scheme aiming at a power system characterized by exogenous disturbances. A set of states-related inequalities are utilized to guarantee L2 gain disturbance attenuation performance of the system. It involves semidefinite programming relaxations based on the SOS decomposition technique, which is employed to solve the inequalities that bring about robust control of the system. This method is superior to other traditional approaches. It is able to construct a robust controller that guarantees L2 gain disturbance attenuation performance of the system featuring exogenous disturbance by the SOS algorithm without solving Hamilton–Jacobi inequalities or using the recursive design of back-stepping. Then, the proposed approach is applied to derive a robust excitation controller for multimachine power systems. Moreover, a three-machine power system model is employed to test the robust excitation controller, which finally verifies its effectiveness and superiority.

Original languageEnglish (US)
Pages (from-to)218-225
Number of pages8
JournalIEEJ Transactions on Electrical and Electronic Engineering
Volume13
Issue number2
DOIs
StatePublished - Feb 1 2018

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Robust control
Decomposition
Controllers

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

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abstract = "For the first time, we apply the sum-of-squares (SOS) decomposition technique for robust control of power systems. We propose an SOS L2 robust control scheme aiming at a power system characterized by exogenous disturbances. A set of states-related inequalities are utilized to guarantee L2 gain disturbance attenuation performance of the system. It involves semidefinite programming relaxations based on the SOS decomposition technique, which is employed to solve the inequalities that bring about robust control of the system. This method is superior to other traditional approaches. It is able to construct a robust controller that guarantees L2 gain disturbance attenuation performance of the system featuring exogenous disturbance by the SOS algorithm without solving Hamilton–Jacobi inequalities or using the recursive design of back-stepping. Then, the proposed approach is applied to derive a robust excitation controller for multimachine power systems. Moreover, a three-machine power system model is employed to test the robust excitation controller, which finally verifies its effectiveness and superiority.",
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Applying sum-of-squares decomposition technique to power system robust control problem. / Chen, Mingyuan; Li, Xiaocong; Lagoa, Constantino Manuel; Cong, Lanmei; Xu, Junhua.

In: IEEJ Transactions on Electrical and Electronic Engineering, Vol. 13, No. 2, 01.02.2018, p. 218-225.

Research output: Contribution to journalArticle

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