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Stability Analysis and Controller Design of Wide-Area Power System with Interval Time-Varying Delay |
Qian Wei1, Wang Chenchen1, Fei Shumin2 |
1. School of Electrical Engineering and Automation Henan Polytechnic University Jiaozuo 454000 China; 2. School of Automation Southeast University Nanjing 210096 China |
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Abstract Time delay existing in wide area power system can always cause severe effects on the operation performance of the whole system, the paper is concerned with the stability analysis and controller design of the wide area power system with interval time-varying delay. Firstly, the model of wide area power system with interval time-varing delay is established, based on that, a new augmented vector and new Lyapunov-Krasoskii functional are constructed. Then, the Wirtinger integral inequality, Extended integral inequality, Convex combination approach and Schur compliment are used to estimate the derivative of the functional, as a result, the estimting errors are reduced and a less conservative stability criterion is obtained, and the stability margin of system is expanded. Based on that, the memoryless and memory feedback controller are designed, by using the staged linearization method, the existence condition of the controller are transformed into the feasibility of linear matrix inequalities. Finally, simulations of the typical second-order system, the single machine system and two-area four-generator power system are given to illustrate that, compared with existing methods, the proposed method of this paper reduces the conservatism of the existence condition of the controller and has better control results.
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Received: 30 May 2018
Published: 20 September 2019
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