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《Journal of Nanjing University of Aeronautics & Astronautics》 2018-03
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H_∞ Optimal Excitation Control for Power System Based on Sum of Squares Programming

WAN Yong;TIAN Hongxing;YANG Chen;College of Automation Engineering,Nanjing University of Aeronautics & Astronautics;  
To improve the stability of the power system under the disturbance signal,the paper proposes an H_∞ optimal excitation control method based on sum of squares method of the single machine infinite power system.The power system is a kind of non-polynomial system,while the proposed method uses the Taylor formula of non-polynomial systems transformed into polynomial system which keeps the high order infinitely small.The methods transform the non-polynomial systems using the Talor method and keep the high order infinitely small.Under a given attenuation coefficient and taking the advantages of sum of squares in the construction of Lyapunov function and parameter optimization,the Hamilton-Jacobi-Isaacs equation is relaxed to an optimization problem with a set of inequalities constraints.After applying the policy iteration technique,the method is able to design the H∞optimal excitation controller and enhance the reality of simulations.Experimental results prove that the method can not only effectively improve the system performance but also enhance the anti-interference ability of the system.
【Fund】: 国家自然科学基金(61403194)资助项目;; 江苏省自然科学基金(BK20140836)资助项目
【CateGory Index】: TM73
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