Journal of Guangxi Normal University(Natural Science Edition) ›› 2023, Vol. 41 ›› Issue (5): 76-85.doi: 10.16088/j.issn.1001-6600.2023021501

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Analysis of PI-based Event-Triggered Control Design for Semi-Markovian Power Systems

WU Zixian, CHENG Jun*, FU Jianling, ZHOU Xinwen, XIE Jialong, NING Quan   

  1. School of Mathematics and Statistics, Guangxi Normal University, Guilin Guangxi 541006, China
  • Received:2023-02-15 Revised:2023-03-18 Published:2023-10-09

Abstract: Based on the PI controller design theory, this paper firstly analyzes the stability of power system load frequency and proposes an improved event triggering mechanism, then, processes the mathematical mean expectation of power system with uncertain semi-Markov jump parameters, and finally constructs a closed-loop system that can adjust adaptively with the change of sampling signal state. Considering the interference effect and time-delay virtual delay in the system with random jump multimode, a modal-dependent controller is designed. Firstly, the functional derivative integral term is scaled by combining matrix cross product inequality and Schur’s complement theorem, so that the optimal value problem is transformed into solving linear matrix inequality. Then, the control gain and event trigger matrix are solved by matlab toolbox, and the stochastic stability criterion of the system is given. Finally, the performance index of the system H is analyzed. The designed scheme can improve the transmission rate of control signals in the communication network, effectively reduce the burden of power grid information transmission, save energy and improve the dynamic performance of the system.

Key words: Semi-Markovian, power system, PI control, stochastic stability, event-triggered mechanism, load frequency control

CLC Number:  TM712
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