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Optimal Control of Plug-In Hybrid Electric Vehicles with Market Impact and Risk Attitude

Author

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  • Lai Wei

    (Department of Industrial and Systems Engineering, University of Florida, Gainesville, Florida 32611)

  • Yongpei Guan

    (Department of Industrial and Systems Engineering, University of Florida, Gainesville, Florida 32611)

Abstract

In this paper, we develop optimal electricity storage control policies to manage charging and discharging activities for plug-in hybrid electric vehicles for the benefit of an energy market participant. We first develop models for both risk-neutral and risk-averse aggregators to participate only in a real-time market. The proposed models capture the impact of the charging and discharging activities on real-time electricity prices. Next, we extend our study to the case in which aggregators participate in both the real-time and day-ahead markets. For each developed model, we analyze the properties of the optimal objective value function, prove the existence and uniqueness of the optimal policy, and explore the corresponding optimal policy structure. Moreover, through numerical studies, we explore insights into how electricity prices are influenced by charging and discharging activities. In particular, we observe that aggregated charging/discharging activities with market-impact consideration could reduce the variance of the real-time electricity prices more efficiently, as compared to individual activities. In addition, considering market impact, an aggregator tends to use less electricity storage. Finally, it is beneficial to let an aggregator control the electricity storage and participate in both the real-time and day-ahead markets, instead of participating only in the real-time market.

Suggested Citation

  • Lai Wei & Yongpei Guan, 2014. "Optimal Control of Plug-In Hybrid Electric Vehicles with Market Impact and Risk Attitude," Transportation Science, INFORMS, vol. 48(4), pages 467-482, November.
    • Handle: RePEc:inm:ortrsc:v:48:y:2014:i:4:p:467-482
    DOI: 10.1287/trsc.2014.0532
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    References listed on IDEAS

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    1. Ho-Yin Mak & Ying Rong & Zuo-Jun Max Shen, 2013. "Infrastructure Planning for Electric Vehicles with Battery Swapping," Management Science, INFORMS, vol. 59(7), pages 1557-1575, July.
    2. Lizhi Wang & Anhua Lin & Yihsu Chen, 2010. "Potential impact of recharging plug‐in hybrid electric vehicles on locational marginal prices," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(8), pages 686-700, December.
    3. Wang, Jianhui & Liu, Cong & Ton, Dan & Zhou, Yan & Kim, Jinho & Vyas, Anantray, 2011. "Impact of plug-in hybrid electric vehicles on power systems with demand response and wind power," Energy Policy, Elsevier, vol. 39(7), pages 4016-4021, July.
    4. Knittel, Christopher R. & Roberts, Michael R., 2005. "An empirical examination of restructured electricity prices," Energy Economics, Elsevier, vol. 27(5), pages 791-817, September.
    5. He, Fang & Wu, Di & Yin, Yafeng & Guan, Yongpei, 2013. "Optimal deployment of public charging stations for plug-in hybrid electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 47(C), pages 87-101.
    6. Ramteen Sioshansi, 2012. "OR Forum---Modeling the Impacts of Electricity Tariffs on Plug-In Hybrid Electric Vehicle Charging, Costs, and Emissions," Operations Research, INFORMS, vol. 60(3), pages 506-516, June.
    7. Sioshansi, Ramteen & Denholm, Paul & Jenkin, Thomas & Weiss, Jurgen, 2009. "Estimating the value of electricity storage in PJM: Arbitrage and some welfare effects," Energy Economics, Elsevier, vol. 31(2), pages 269-277, March.
    8. Jae Ho Kim & Warren B. Powell, 2011. "Optimal Energy Commitments with Storage and Intermittent Supply," Operations Research, INFORMS, vol. 59(6), pages 1347-1360, December.
    9. Bradley, Thomas H. & Frank, Andrew A., 2009. "Design, demonstrations and sustainability impact assessments for plug-in hybrid electric vehicles," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(1), pages 115-128, January.
    10. Rene Carmona & Michael Ludkovski, 2010. "Valuation of energy storage: an optimal switching approach," Quantitative Finance, Taylor & Francis Journals, vol. 10(4), pages 359-374.
    11. Kristoffersen, Trine Krogh & Capion, Karsten & Meibom, Peter, 2011. "Optimal charging of electric drive vehicles in a market environment," Applied Energy, Elsevier, vol. 88(5), pages 1940-1948, May.
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    4. Schoch, Jennifer & Gaerttner, Johannes & Schuller, Alexander & Setzer, Thomas, 2018. "Enhancing electric vehicle sustainability through battery life optimal charging," Transportation Research Part B: Methodological, Elsevier, vol. 112(C), pages 1-18.

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