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Robust trajectory-constrained frequency control for microgrids considering model linearization error

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  • Zhang, Yichen
  • Chen, Chen
  • Hong, Tianqi
  • Cui, Bai
  • Xu, Zhe
  • Chen, Bo
  • Qiu, Feng

Abstract

Grid supportive modes integrated within inverter-based resources can improve the frequency response of renewable-rich microgrids. The synthesis of grid supportive modes to guarantee frequency trajectory constraints under a predefined disturbance set is challenging but essential. To tackle this challenge, a numerical optimal control (NOC)-based control synthesis methodology is proposed. Without loss of generality, a wind-diesel fed microgrid is studied, where we aim to design grid supportive functions in the wind turbine. In the control design, linearized models are used, and the linearization-induced errors are quantitatively analyzed by reachability and interval arithmetics and represented in the form of interval uncertainties. Then, the NOC problem can be formulated into a robust mixed-integer linear program. The control structure is strategically configured into two levels to realize online deployment. The proposed control is verified on the modified 33-node microgrid with a full-order three-phase nonlinear model in Simulink. The simulation results show the effectiveness of the proposed control paradigm and the necessity of considering linearization-induced uncertainty.

Suggested Citation

  • Zhang, Yichen & Chen, Chen & Hong, Tianqi & Cui, Bai & Xu, Zhe & Chen, Bo & Qiu, Feng, 2023. "Robust trajectory-constrained frequency control for microgrids considering model linearization error," Applied Energy, Elsevier, vol. 333(C).
    • Handle: RePEc:eee:appene:v:333:y:2023:i:c:s0306261922018165
    DOI: 10.1016/j.apenergy.2022.120559
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    References listed on IDEAS

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    1. Ma, Shuyang & Li, Yan & Du, Liang & Wu, Jianzhong & Zhou, Yue & Zhang, Yichen & Xu, Tao, 2022. "Programmable intrusion detection for distributed energy resources in cyber–physical networked microgrids," Applied Energy, Elsevier, vol. 306(PB).
    2. Dimitris Bertsimas & Aurélie Thiele, 2006. "A Robust Optimization Approach to Inventory Theory," Operations Research, INFORMS, vol. 54(1), pages 150-168, February.
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