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Optimal energy and reserve scheduling in a renewable-dominant power system

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  • Zhang, Mengling
  • Jiao, Zihao
  • Ran, Lun
  • Zhang, Yuli

Abstract

In the shift to a sustainable, cost-effective and safe energy system, the improvement of existing energy and reserve scheduling is required to handle the volatility of the intermittent power supply. In contrast to traditional approaches that ignore correlations of intermittent energy (wind and photovoltaic) power deviation, spatiotemporal correlations are incorporated into our integrated renewable-dominant wind-photovoltaic-pumped hydro storage system to provide flexibility and stability guarantees. This paper represents a distributionally robust chance constraint (DRCC) model for optimizing day-ahead energy scheduling and real-time regulation operation in a renewable-dominant power system by minimizing the expected total cost. To capture the correlation and uncertainty associated with intermittent energy, the correlation covariance matrix and moment-based ambiguity set approaches are applied, respectively. Our model is transformed into a second-order cone programming for which commercial solvers are available. A case study is performed to illustrate how the effects of spatiotemporal correlation and the uncertainty of intermittent energy power deviation might have an effect on the power system operation. The results further demonstrate the rationality and economy of the proposed model for the energy and reserve scheduling problem.

Suggested Citation

  • Zhang, Mengling & Jiao, Zihao & Ran, Lun & Zhang, Yuli, 2023. "Optimal energy and reserve scheduling in a renewable-dominant power system," Omega, Elsevier, vol. 118(C).
  • Handle: RePEc:eee:jomega:v:118:y:2023:i:c:s0305048323000142
    DOI: 10.1016/j.omega.2023.102848
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    as
    1. Yiling Zhang & Jin Dong, 2022. "Building Load Control Using Distributionally Robust Chance-Constrained Programs with Right-Hand Side Uncertainty and the Risk-Adjustable Variants," INFORMS Journal on Computing, INFORMS, vol. 34(3), pages 1531-1547, May.
    2. Jack P. C. Kleijnen & Wim C. M. van Beers, 2022. "Statistical Tests for Cross-Validation of Kriging Models," INFORMS Journal on Computing, INFORMS, vol. 34(1), pages 607-621, January.
    3. Gregory Steeger & Timo Lohmann & Steffen Rebennack, 2018. "Strategic bidding for a price-maker hydroelectric producer: Stochastic dual dynamic programming and Lagrangian relaxation," IISE Transactions, Taylor & Francis Journals, vol. 50(11), pages 929-942, November.
    4. Yin, Yue & Liu, Tianqi & He, Chuan, 2019. "Day-ahead stochastic coordinated scheduling for thermal-hydro-wind-photovoltaic systems," Energy, Elsevier, vol. 187(C).
    5. Aigner, Kevin-Martin & Clarner, Jan-Patrick & Liers, Frauke & Martin, Alexander, 2022. "Robust approximation of chance constrained DC optimal power flow under decision-dependent uncertainty," European Journal of Operational Research, Elsevier, vol. 301(1), pages 318-333.
    6. Banshwar, Anuj & Sharma, Naveen Kumar & Sood, Yog Raj & Shrivastava, Rajnish, 2019. "Market-based participation of energy storage scheme to support renewable energy sources for the procurement of energy and spinning reserve," Renewable Energy, Elsevier, vol. 135(C), pages 326-344.
    7. 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.
    8. Umetani, Shunji & Fukushima, Yuta & Morita, Hiroshi, 2017. "A linear programming based heuristic algorithm for charge and discharge scheduling of electric vehicles in a building energy management system," Omega, Elsevier, vol. 67(C), pages 115-122.
    9. Javed, Muhammad Shahzad & Ma, Tao & Jurasz, Jakub & Amin, Muhammad Yasir, 2020. "Solar and wind power generation systems with pumped hydro storage: Review and future perspectives," Renewable Energy, Elsevier, vol. 148(C), pages 176-192.
    10. Laurent El Ghaoui & Maksim Oks & Francois Oustry, 2003. "Worst-Case Value-At-Risk and Robust Portfolio Optimization: A Conic Programming Approach," Operations Research, INFORMS, vol. 51(4), pages 543-556, August.
    11. Liu, Kanglin & Li, Qiaofeng & Zhang, Zhi-Hai, 2019. "Distributionally robust optimization of an emergency medical service station location and sizing problem with joint chance constraints," Transportation Research Part B: Methodological, Elsevier, vol. 119(C), pages 79-101.
    12. Li, Longxi, 2021. "Coordination between smart distribution networks and multi-microgrids considering demand side management: A trilevel framework," Omega, Elsevier, vol. 102(C).
    13. Dimitris Bertsimas & Xuan Vinh Doan & Karthik Natarajan & Chung-Piaw Teo, 2010. "Models for Minimax Stochastic Linear Optimization Problems with Risk Aversion," Mathematics of Operations Research, INFORMS, vol. 35(3), pages 580-602, August.
    14. Majid Al-Gwaiz & Xiuli Chao & Owen Q. Wu, 2017. "Understanding How Generation Flexibility and Renewable Energy Affect Power Market Competition," Manufacturing & Service Operations Management, INFORMS, vol. 19(1), pages 114-131, February.
    15. Jeon, Soi & Choi, Dae-Hyun, 2022. "Joint optimization of Volt/VAR control and mobile energy storage system scheduling in active power distribution networks under PV prediction uncertainty," Applied Energy, Elsevier, vol. 310(C).
    16. Xu, Xiao & Hu, Weihao & Cao, Di & Huang, Qi & Liu, Zhou & Liu, Wen & Chen, Zhe & Blaabjerg, Frede, 2020. "Scheduling of wind-battery hybrid system in the electricity market using distributionally robust optimization," Renewable Energy, Elsevier, vol. 156(C), pages 47-56.
    17. Ruiz Duarte, José Luis & Fan, Neng & Jin, Tongdan, 2020. "Multi-process production scheduling with variable renewable integration and demand response," European Journal of Operational Research, Elsevier, vol. 281(1), pages 186-200.
    18. Iris, Çağatay & Lam, Jasmine Siu Lee, 2021. "Optimal energy management and operations planning in seaports with smart grid while harnessing renewable energy under uncertainty," Omega, Elsevier, vol. 103(C).
    19. Arega Getaneh Abate & Rossana Riccardi & Carlos Ruiz, 2022. "Contract design in electricity markets with high penetration of renewables: A two-stage approach," Papers 2201.09927, arXiv.org, revised Jun 2022.
    20. Monforti, F. & Huld, T. & Bódis, K. & Vitali, L. & D'Isidoro, M. & Lacal-Arántegui, R., 2014. "Assessing complementarity of wind and solar resources for energy production in Italy. A Monte Carlo approach," Renewable Energy, Elsevier, vol. 63(C), pages 576-586.
    21. Wang, Tian & Deng, Shiming, 2019. "Multi-Period energy procurement policies for smart-grid communities with deferrable demand and supplementary uncertain power supplies," Omega, Elsevier, vol. 89(C), pages 212-226.
    22. Abate, Arega Getaneh & Riccardi, Rossana & Ruiz, Carlos, 2022. "Contract design in electricity markets with high penetration of renewables: A two-stage approach," Omega, Elsevier, vol. 111(C).
    23. Bakker, Hannah & Dunke, Fabian & Nickel, Stefan, 2020. "A structuring review on multi-stage optimization under uncertainty: Aligning concepts from theory and practice," Omega, Elsevier, vol. 96(C).
    24. Yong Liang & Tianhu Deng & Zuo-Jun Max Shen, 2019. "Demand-side energy management under time-varying prices," IISE Transactions, Taylor & Francis Journals, vol. 51(4), pages 422-436, April.
    25. Tomomi Miyazaki & Masayuki Tamaoka & Ayu Tomita & Keigo Kameda & Akihiro Kawase & Katsuyoshi Nakazawa & Hiroyuki Ono & Naoko Yokoyama, 2022. "Summary Statistics," SpringerBriefs in Economics, in: Tax Morale and Tax Resistance, chapter 0, pages 19-29, Springer.
    26. Aien, Morteza & Rashidinejad, Masoud & Firuz-Abad, Mahmud Fotuhi, 2015. "Probabilistic optimal power flow in correlated hybrid wind-PV power systems: A review and a new approach," Renewable and Sustainable Energy Reviews, Elsevier, vol. 41(C), pages 1437-1446.
    27. Erick Delage & Yinyu Ye, 2010. "Distributionally Robust Optimization Under Moment Uncertainty with Application to Data-Driven Problems," Operations Research, INFORMS, vol. 58(3), pages 595-612, June.
    28. Arrigo, Adriano & Ordoudis, Christos & Kazempour, Jalal & De Grève, Zacharie & Toubeau, Jean-François & Vallée, François, 2022. "Wasserstein distributionally robust chance-constrained optimization for energy and reserve dispatch: An exact and physically-bounded formulation," European Journal of Operational Research, Elsevier, vol. 296(1), pages 304-322.
    29. Zhou, Yuzhou & Zhao, Jiexing & Zhai, Qiaozhu, 2021. "100% renewable energy: A multi-stage robust scheduling approach for cascade hydropower system with wind and photovoltaic power," Applied Energy, Elsevier, vol. 301(C).
    30. Kalavani, Farshad & Mohammadi-Ivatloo, Behnam & Zare, Kazem, 2019. "Optimal stochastic scheduling of cryogenic energy storage with wind power in the presence of a demand response program," Renewable Energy, Elsevier, vol. 130(C), pages 268-280.
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