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Time-delay stability control strategy considering the jump characteristic of power system

Time-delay stability control strategy considering the jump characteristic of power system

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In view of the jump characteristic of power system, a time-delay stability control strategy that avoids the effect of jump progress is proposed in this study. First, the Newton–Leibniz formula based on the free weighting matrix and the time-delay system model considering Markov jump are introduced to the differential equation of Lyapunov–Krasovskii functional, and a non-linear minimising time-delay controller considering the jump characteristic of power system is designed. Then, the Schur complement is used to decouple the non-linear items in the control algorithm, so that the matrix inequalities containing the non-linear items are transformed to standard linear matrix inequalities. Thus, low solving efficiency due to iteration could be avoided. Time-domain simulation tests on the IEEE 16-machine 68-bus system verify that the proposed controller could effectively damp the inter-area oscillations before and after the system jump, and the system after jump will not go unstable due to the time-delay control measures before the jump. Compared with traditional time-delay control methods, the proposed method is suitable for power system with jump characteristic and has better computational efficiency.

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