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A frequency-secured planning method for integrated electricity-heat microgrids with virtual inertia suppliers

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  • Li, Hui
  • Zhang, Hongcai
  • Zhang, Ji
  • Wu, Qiuwei
  • Wong, Chi-Kong

Abstract

The integrated electricity-heat microgrid (IEHM) is characterized by low inertia and a high share of renewable generation. Although sector coupling in the IEHM enhances energy efficiency, the integration of electricity and heat systems restricts the primary frequency regulation (PFR) ability of coupling equipment, further threatening frequency security. This paper presents a frequency-secured planning method for virtual inertia suppliers and combined heat and power (CHP) units in the IEHM. First, we examine the PFR in IEHMs from both device and system perspectives. We develop steady-state models for sector-coupled equipment, specifically CHP units and large-scale heat pumps, for PFR and sizing purposes. To describe the system’s frequency response under emergency conditions, we explicitly derive frequency constraints that account for varying system inertia of heterogeneous resources. Furthermore, we conduct a comprehensive analysis of the impact of PFR on heating systems within the IEHM. Second, we propose a frequency-constrained planning model for IEHMs based on the aforementioned modeling framework. This model balances the power supply, heating supply, and PFR reserves deployment of IEHM by properly sizing the regulation resources. It also leverages distributionally robust (DR) chance constraints to address uncertain wind power generation. To improve the tractability of this model, we introduce a well-tailored reformulation approach that handles the nonconvexity of system inertia and DR chance constraints. Case studies conducted on two test systems demonstrate the effectiveness of the proposed method in securing frequency stability while improving the economic performance of IEHM. This method ensures both dynamic and static frequency security across 100% of time steps by optimally deploying system inertia and PFR reserves. Moreover, by coordinating heterogeneous PFR resources with time-varying system inertia, the proposed approach yields superior economic performance, achieving over a 9% reduction in total capacity compared to average benchmarks.

Suggested Citation

  • Li, Hui & Zhang, Hongcai & Zhang, Ji & Wu, Qiuwei & Wong, Chi-Kong, 2025. "A frequency-secured planning method for integrated electricity-heat microgrids with virtual inertia suppliers," Applied Energy, Elsevier, vol. 377(PB).
    • Handle: RePEc:eee:appene:v:377:y:2025:i:pb:s0306261924019238
    DOI: 10.1016/j.apenergy.2024.124540
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    References listed on IDEAS

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    1. Zhang, Zhenwei & Wang, Chengfu & Wu, Qiuwei & Dong, Xiaoming, 2024. "Optimal dispatch for cross-regional integrated energy system with renewable energy uncertainties: A unified spatial-temporal cooperative framework," Energy, Elsevier, vol. 292(C).
    2. Zhang, Menglin & Wu, Qiuwei & Wen, Jinyu & Zhou, Bo & Guan, Qinyue & Tan, Jin & Lin, Zhongwei & Fang, Fang, 2022. "Day-ahead stochastic scheduling of integrated electricity and heat system considering reserve provision by large-scale heat pumps," Applied Energy, Elsevier, vol. 307(C).
    3. Bracco, Stefano & Delfino, Federico & Pampararo, Fabio & Robba, Michela & Rossi, Mansueto, 2013. "The University of Genoa smart polygeneration microgrid test-bed facility: The overall system, the technologies and the research challenges," Renewable and Sustainable Energy Reviews, Elsevier, vol. 18(C), pages 442-459.
    4. Bracco, Stefano & Delfino, Federico & Pampararo, Fabio & Robba, Michela & Rossi, Mansueto, 2014. "A mathematical model for the optimal operation of the University of Genoa Smart Polygeneration Microgrid: Evaluation of technical, economic and environmental performance indicators," Energy, Elsevier, vol. 64(C), pages 912-922.
    5. Zhou, Yizhou & Li, Xiang & Han, Haiteng & Wei, Zhinong & Zang, Haixiang & Sun, Guoqiang & Chen, Sheng, 2024. "Resilience-oriented planning of integrated electricity and heat systems: A stochastic distributionally robust optimization approach," Applied Energy, Elsevier, vol. 353(PA).
    6. Jiménez Navarro, Juan Pablo & Kavvadias, Konstantinos C. & Quoilin, Sylvain & Zucker, Andreas, 2018. "The joint effect of centralised cogeneration plants and thermal storage on the efficiency and cost of the power system," Energy, Elsevier, vol. 149(C), pages 535-549.
    7. Gao, Shuang & Jurasz, Jakub & Li, Hailong & Corsetti, Edoardo & Yan, Jinyue, 2022. "Potential benefits from participating in day-ahead and regulation markets for CHPs," Applied Energy, Elsevier, vol. 306(PA).
    8. Tan, Jin & Wu, Qiuwei & Zhang, Menglin & Wei, Wei & Liu, Feng & Pan, Bo, 2021. "Chance-constrained energy and multi-type reserves scheduling exploiting flexibility from combined power and heat units and heat pumps," Energy, Elsevier, vol. 233(C).
    9. Tan, Hong & Yan, Wei & Ren, Zhouyang & Wang, Qiujie & Mohamed, Mohamed A., 2022. "Distributionally robust operation for integrated rural energy systems with broiler houses," Energy, Elsevier, vol. 254(PC).
    10. Roberto Barrella & Irene Priego & José Ignacio Linares & Eva Arenas & José Carlos Romero & Efraim Centeno, 2020. "Feasibility Study of a Centralised Electrically Driven Air Source Heat Pump Water Heater to Face Energy Poverty in Block Dwellings in Madrid (Spain)," Energies, MDPI, vol. 13(11), pages 1-23, May.
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