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Virtual Power Plant Bidding Strategies in Pay-as-Bid and Pay-as-Clear Markets: Analysis of Imbalance Penalties and Market Operations

Author

Listed:
  • Youngkook Song

    (Department of Electrical and Computer Engineering, Seoul National University, Seoul 08826, Republic of Korea)

  • Yeonouk Chu

    (Department of Electrical and Computer Engineering, Seoul National University, Seoul 08826, Republic of Korea)

  • Yongtae Yoon

    (Department of Electrical and Computer Engineering, Seoul National University, Seoul 08826, Republic of Korea)

  • Younggyu Jin

    (Power System Economics Laboratory, Department of Electrical Engineering, Jeju National University, 102 Jejudaehak-ro, Jeju 62343, Republic of Korea)

Abstract

The transition towards renewable energy has increased the importance of virtual power plants (VPPs) in integrating distributed energy resources (DERs). However, questions remain regarding the most appropriate auction mechanisms (pay-as-bid (PAB) versus pay-as-clear (PAC)) and imbalance penalty structures, which significantly influence VPP bidding strategies and market operations. This study employs a three-stage stochastic programming model to evaluate VPP bidding behaviors under these auction mechanisms while also considering the effects of imbalance penalty structures. By simulating various market scenarios, the results reveal that PAC markets offer higher VPP revenues due to settlement at the market-clearing price; they also exhibit greater volatility and elevated imbalance penalties. For instance, power deviations in PAC markets were 52.60% higher than in PAB markets under specific penalty structures, and imbalance penalty cost ranges differed by up to 82.32%. In contrast, PAB markets foster stable, stepwise bidding strategies that minimize imbalance penalties and improve renewable energy utilization, particularly during high- and moderate-generation periods. The findings emphasize the advantages of the PAB mechanism in electricity markets with substantial renewable energy integration, providing significant insights for the design of auction mechanisms that facilitate reliable and sustainable market operations.

Suggested Citation

  • Youngkook Song & Yeonouk Chu & Yongtae Yoon & Younggyu Jin, 2025. "Virtual Power Plant Bidding Strategies in Pay-as-Bid and Pay-as-Clear Markets: Analysis of Imbalance Penalties and Market Operations," Energies, MDPI, vol. 18(6), pages 1-22, March.
  • Handle: RePEc:gam:jeners:v:18:y:2025:i:6:p:1383-:d:1609895
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    References listed on IDEAS

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    1. Zhang, Qian & Wu, Xiaohan & Deng, Xiaosong & Huang, Yaoyu & Li, Chunyan & Wu, Jiaqi, 2023. "Bidding strategy for wind power and Large-scale electric vehicles participating in Day-ahead energy and frequency regulation market," Applied Energy, Elsevier, vol. 341(C).
    2. Mohammad Mohammadi Roozbehani & Ehsan Heydarian-Forushani & Saeed Hasanzadeh & Seifeddine Ben Elghali, 2022. "Virtual Power Plant Operational Strategies: Models, Markets, Optimization, Challenges, and Opportunities," Sustainability, MDPI, vol. 14(19), pages 1-23, September.
    3. Micha{l} Narajewski, 2022. "Probabilistic forecasting of German electricity imbalance prices," Papers 2205.11439, arXiv.org.
    4. Cramton, Peter & Stoft, Steven, 2007. "Why We Need to Stick with Uniform-Price Auctions in Electricity Markets," The Electricity Journal, Elsevier, vol. 20(1), pages 26-37.
    5. Naval, Natalia & Yusta, Jose M., 2021. "Virtual power plant models and electricity markets - A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 149(C).
    6. Wu, Zhaoyuan & Zhou, Ming & Zhang, Ting & Li, Gengyin & Zhang, Yan & Liu, Xiaojuan, 2020. "Imbalance settlement evaluation for China's balancing market design via an agent-based model with a multiple criteria decision analysis method," Energy Policy, Elsevier, vol. 139(C).
    7. Lei, Xiang & Yu, Hang & Shao, Ziyun & Jian, Linni, 2023. "Optimal bidding and coordinating strategy for maximal marginal revenue due to V2G operation: Distribution system operator as a key player in China's uncertain electricity markets," Energy, Elsevier, vol. 283(C).
    8. Kanjanapon Borisoot & Rittichai Liemthong & Chitchai Srithapon & Rongrit Chatthaworn, 2023. "Optimal Energy Management for Virtual Power Plant Considering Operation and Degradation Costs of Energy Storage System and Generators," Energies, MDPI, vol. 16(6), pages 1-19, March.
    9. Wozabal, David & Rameseder, Gunther, 2020. "Optimal bidding of a virtual power plant on the Spanish day-ahead and intraday market for electricity," European Journal of Operational Research, Elsevier, vol. 280(2), pages 639-655.
    10. Fabra, Natalia, 2023. "Reforming European electricity markets: Lessons from the energy crisis," Energy Economics, Elsevier, vol. 126(C).
    11. Klyve, Øyvind Sommer & Klæboe, Gro & Nygård, Magnus Moe & Marstein, Erik Stensrud, 2023. "Limiting imbalance settlement costs from variable renewable energy sources in the Nordics: Internal balancing vs. balancing market participation," Applied Energy, Elsevier, vol. 350(C).
    12. Kaur, Amanpreet & Nonnenmacher, Lukas & Pedro, Hugo T.C. & Coimbra, Carlos F.M., 2016. "Benefits of solar forecasting for energy imbalance markets," Renewable Energy, Elsevier, vol. 86(C), pages 819-830.
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