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Quantized memory proportional–integral control of active power sharing and frequency regulation in island microgrid under abnormal cyber attacks

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  • Shi, Kaibo
  • Cai, Xiao
  • She, Kun
  • Zhong, Shouming
  • Soh, YengChai
  • Kwon, OhMin

Abstract

This paper proposes a quantized memory proportional–integral (QMPI) control scheme to study the active power-sharing and frequency regulation (PSFR) issues of island Micro-Grids (MGs) under abnormal asynchronous stochastic cyber attacks (AASCAs). First, AASCAs are considered, which reflected the randomness and asynchrony of the attacks employed by hackers. Second, a novel relaxed condition that depends on the time delay (TD) is constructed, thereby reducing the usual constraint condition. Then, using the reciprocal convex matrix inequality (RCMI), some appropriate integral inequalities are used to process the integral terms to obtain a tighter upper bound. Next, based on Lyapunov–Krasovskii functional (LKF) method, a new QMPI controller under AASCAs is designed to ensure active PSFR in MGs. Finally, two kinds of experiments and simulations are carried out on the improved IEEE 34 bus test system to verify the performance of the control algorithm proposed in this paper.

Suggested Citation

  • Shi, Kaibo & Cai, Xiao & She, Kun & Zhong, Shouming & Soh, YengChai & Kwon, OhMin, 2022. "Quantized memory proportional–integral control of active power sharing and frequency regulation in island microgrid under abnormal cyber attacks," Applied Energy, Elsevier, vol. 322(C).
    • Handle: RePEc:eee:appene:v:322:y:2022:i:c:s0306261922008558
    DOI: 10.1016/j.apenergy.2022.119540
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    References listed on IDEAS

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    1. Shi, Ye & Tuan, Hoang Duong & Savkin, Andrey V. & Lin, Chin-Teng & Zhu, Jian Guo & Poor, H. Vincent, 2021. "Distributed model predictive control for joint coordination of demand response and optimal power flow with renewables in smart grid," Applied Energy, Elsevier, vol. 290(C).
    2. Cai, Xiao & Shi, Kaibo & She, Kun & Zhong, Shouming & Kwon, Ohmin & Tang, Yiqian, 2022. "Voluntary defense strategy and quantized sample-data control for T-S fuzzy networked control systems with stochastic cyber-attacks and its application," Applied Mathematics and Computation, Elsevier, vol. 423(C).
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    Cited by:

    1. Can Zhao & Kaibo Shi & Yiqian Tang & Shouming Zhong, 2022. "A New Slack Lyapunov Functional for Dynamical System with Time Delay," Mathematics, MDPI, vol. 10(23), pages 1-11, November.
    2. Zhang, Yonghong & Li, Shouwei & Li, Jingwei & Tang, Xiaoyu, 2022. "A time power-based grey model with Caputo fractional derivative and its application to the prediction of renewable energy consumption," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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