Dual-Mode Laguerre MPC and Its Application in Inertia-Frequency Regulation of Power Systems

Wanying Liu, Yang Zheng (), Zhi Zhang, Zifei Li, Jianwei Li, Junqing Wang, Guang Li and Jia He
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Wanying Liu: Hubei Technology Innovation Center for Smart Hydropower, Wuhan 430000, China
Yang Zheng: Hubei Technology Innovation Center for Smart Hydropower, Wuhan 430000, China
Zhi Zhang: Hubei Technology Innovation Center for Smart Hydropower, Wuhan 430000, China
Zifei Li: School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, China
Jianwei Li: Hubei Technology Innovation Center for Smart Hydropower, Wuhan 430000, China
Junqing Wang: Hubei Technology Innovation Center for Smart Hydropower, Wuhan 430000, China
Guang Li: Hubei Technology Innovation Center for Smart Hydropower, Wuhan 430000, China
Jia He: Hubei Technology Innovation Center for Smart Hydropower, Wuhan 430000, China

Energies, 2025, vol. 18, issue 16, 1-21

Abstract: This paper studies the collaborative inertia-frequency regulation strategies for the high renewable energy penetrated low inertia power system. Firstly, a systematic investigation is conducted to reveal the dominant dynamic characteristics and the possible challenges for such systems, and then proved the effectiveness of virtual inertia. Subsequently, a novel Laguerre-based model predictive control strategy is accordingly pro-posed, which ensures a better system states convergence ability and a reduced computational burden. The controller takes into account the system’s dual-mode feature to ensure timely response for both the inertia and the frequency support. Then, the regulation quality, operational burden and the cost are mathematically defined. The control trajectory is determined by the rolling optimization. The Gravity Searching Algorithm is utilized to determine the optimal control parameters. Finally, the proposed control strategy is validated through five case studies, demonstrating enhanced robustness, superior dynamic performance and cost-effective operation. This study provides new insights for the analysis and control strategies of the high RE penetrated low inertia systems.

Keywords: low inertia; collaborative inertia-load frequency control; L-MPC; multi-time scale optimization (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2025
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