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Application of two-stage robust optimization theory in power system scheduling under uncertainties: A review and perspective

Author

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  • Qiu, Haifeng
  • Gu, Wei
  • Liu, Pengxiang
  • Sun, Qirun
  • Wu, Zhi
  • Lu, Xi

Abstract

Multi-uncertainties impose enormous challenges to the optimal scheduling of power systems, and two-stage robust optimization (TSRO) theory has been widely investigated and employed in this field as a valid processing approach. This paper primarily reviews the research on TSRO scheduling of power systems. Firstly, the general formulations and solution algorithms for multi-type TSRO models are summarized and categorized. Subsequently, various modeling methods for continuous and discrete uncertainties in power systems are generalized, along with their characteristics and advantages clarified by expounding application scopes and implementation values. Next, research work and achievements of TSRO in power system scheduling are reviewed from four aspects, i.e., unit commitment, economic dispatch, active/reactive power coordination and resilient dispatch, and the development and practicality of TSRO in the four directions are detailedly combed combining latest literature. Finally, according to the aforementioned analysis, existing research gaps are discussed from the aspects of formulation morphology, solution algorithm, uncertainty modeling and extended application, and the outlook of future work is provided accordingly.

Suggested Citation

  • Qiu, Haifeng & Gu, Wei & Liu, Pengxiang & Sun, Qirun & Wu, Zhi & Lu, Xi, 2022. "Application of two-stage robust optimization theory in power system scheduling under uncertainties: A review and perspective," Energy, Elsevier, vol. 251(C).
    • Handle: RePEc:eee:energy:v:251:y:2022:i:c:s0360544222008453
    DOI: 10.1016/j.energy.2022.123942
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    References listed on IDEAS

    as
    1. Alizadeh Bidgoli, Mohsen & Ahmadian, Ali, 2022. "Multi-stage optimal scheduling of multi-microgrids using deep-learning artificial neural network and cooperative game approach," Energy, Elsevier, vol. 239(PB).
    2. Huiru Zhao & Yuwei Wang & Mingrui Zhao & Qingkun Tan & Sen Guo, 2017. "Day-Ahead Market Modeling for Strategic Wind Power Producers under Robust Market Clearing," Energies, MDPI, vol. 10(7), pages 1-27, July.
    3. Kumar, K. Prakash & Saravanan, B., 2017. "Recent techniques to model uncertainties in power generation from renewable energy sources and loads in microgrids – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 71(C), pages 348-358.
    4. Abdin, Adam F. & Caunhye, Aakil & Zio, Enrico & Cardin, Michel-Alexandre, 2022. "Optimizing generation expansion planning with operational uncertainty: A multistage adaptive robust approach," Applied Energy, Elsevier, vol. 306(PA).
    5. Wang, Chengshan & Jiao, Bingqi & Guo, Li & Tian, Zhe & Niu, Jide & Li, Siwei, 2016. "Robust scheduling of building energy system under uncertainty," Applied Energy, Elsevier, vol. 167(C), pages 366-376.
    6. Hasankhani, Arezoo & Hakimi, Seyed Mehdi, 2021. "Stochastic energy management of smart microgrid with intermittent renewable energy resources in electricity market," Energy, Elsevier, vol. 219(C).
    7. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    8. He, Chuan & Wu, Lei & Liu, Tianqi & Wei, Wei & Wang, Cheng, 2018. "Co-optimization scheduling of interdependent power and gas systems with electricity and gas uncertainties," Energy, Elsevier, vol. 159(C), pages 1003-1015.
    9. Hong, Bowen & Zhang, Weitong & Zhou, Yue & Chen, Jian & Xiang, Yue & Mu, Yunfei, 2018. "Energy-Internet-oriented microgrid energy management system architecture and its application in China," Applied Energy, Elsevier, vol. 228(C), pages 2153-2164.
    10. G. Cobos, Noemi & Arroyo, José M. & Alguacil, Natalia & Street, Alexandre, 2018. "Network-constrained unit commitment under significant wind penetration: A multistage robust approach with non-fixed recourse," Applied Energy, Elsevier, vol. 232(C), pages 489-503.
    11. Wu, Zhi & Liu, Pengxiang & Gu, Wei & Huang, He & Han, Jun, 2018. "A bi-level planning approach for hybrid AC-DC distribution system considering N-1 security criterion," Applied Energy, Elsevier, vol. 230(C), pages 417-428.
    12. Wu, Hao & Xie, Yunyun & Xu, Yan & Wu, Qiuwei & Yu, Chen & Sun, Jinsheng, 2022. "Resilient scheduling of MESSs and RCs for distribution system restoration considering the forced cut-off of wind power," Energy, Elsevier, vol. 244(PB).
    13. Zhang, Bingying & Li, Qiqiang & Wang, Luhao & Feng, Wei, 2018. "Robust optimization for energy transactions in multi-microgrids under uncertainty," Applied Energy, Elsevier, vol. 217(C), pages 346-360.
    14. Ma, Weiwu & Xue, Xinpei & Liu, Gang, 2018. "Techno-economic evaluation for hybrid renewable energy system: Application and merits," Energy, Elsevier, vol. 159(C), pages 385-409.
    15. Nikoobakht, Ahmad & Aghaei, Jamshid & Mokarram, Mohammad Jafar & Shafie-khah, Miadreza & Catalão, João P.S., 2021. "Adaptive robust co-optimization of wind energy generation, electric vehicle batteries and flexible AC transmission system devices," Energy, Elsevier, vol. 230(C).
    16. Huang, Zhanghao & Zhang, Yachao & Xie, Shiwei, 2022. "Data-adaptive robust coordinated optimization of dynamic active and reactive power flow in active distribution networks," Renewable Energy, Elsevier, vol. 188(C), pages 164-183.
    17. Hongze Li & Xuejie Wang & Fengyun Li & Yuwei Wang & Xinhua Yu, 2018. "A Robust Day-Ahead Electricity Market Clearing Model Considering Wind Power Penetration," Energies, MDPI, vol. 11(7), pages 1-18, July.
    18. Sun, Qirun & Wu, Zhi & Ma, Zhoujun & Gu, Wei & Zhang, Xiao-Ping & Lu, Yuping & Liu, Pengxiang, 2022. "Resilience enhancement strategy for multi-energy systems considering multi-stage recovery process and multi-energy coordination," Energy, Elsevier, vol. 241(C).
    19. Lima, Ricardo M. & Novais, Augusto Q. & Conejo, Antonio J., 2015. "Weekly self-scheduling, forward contracting, and pool involvement for an electricity producer. An adaptive robust optimization approach," European Journal of Operational Research, Elsevier, vol. 240(2), pages 457-475.
    20. Jiang, Ruiwei & Zhang, Muhong & Li, Guang & Guan, Yongpei, 2014. "Two-stage network constrained robust unit commitment problem," European Journal of Operational Research, Elsevier, vol. 234(3), pages 751-762.
    21. Ghadi, M. Jabbari & Ghavidel, Sahand & Rajabi, Amin & Azizivahed, Ali & Li, Li & Zhang, Jiangfeng, 2019. "A review on economic and technical operation of active distribution systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 104(C), pages 38-53.
    22. Nosratabadi, Seyyed Mostafa & Hooshmand, Rahmat-Allah & Gholipour, Eskandar, 2017. "A comprehensive review on microgrid and virtual power plant concepts employed for distributed energy resources scheduling in power systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 67(C), pages 341-363.
    23. Mwangi, John Kennedy & Lee, Wen-Jhy & Chang, Yu-Cheng & Chen, Chia-Yang & Wang, Lin-Chi, 2015. "An overview: Energy saving and pollution reduction by using green fuel blends in diesel engines," Applied Energy, Elsevier, vol. 159(C), pages 214-236.
    24. Mazidi, Mohammadreza & Monsef, Hassan & Siano, Pierluigi, 2016. "Robust day-ahead scheduling of smart distribution networks considering demand response programs," Applied Energy, Elsevier, vol. 178(C), pages 929-942.
    25. Shabazbegian, Vahid & Ameli, Hossein & Ameli, Mohammad Taghi & Strbac, Goran & Qadrdan, Meysam, 2021. "Co-optimization of resilient gas and electricity networks; a novel possibilistic chance-constrained programming approach," Applied Energy, Elsevier, vol. 284(C).
    26. Sayed, Ahmed Rabee & Wang, Cheng & Chen, Sheng & Shang, Ce & Bi, Tianshu, 2021. "Distributionally robust day-ahead operation of power systems with two-stage gas contracting," Energy, Elsevier, vol. 231(C).
    27. Qiu, Haifeng & You, Fengqi, 2020. "Decentralized-distributed robust electric power scheduling for multi-microgrid systems," Applied Energy, Elsevier, vol. 269(C).
    28. Lu, Xi & Xia, Shiwei & Gu, Wei & Chan, Ka Wing & Shahidehpour, Mohammad, 2021. "Two-stage robust distribution system operation by coordinating electric vehicle aggregator charging and load curtailments," Energy, Elsevier, vol. 226(C).
    29. Lai, Kexing & Illindala, Mahesh & Subramaniam, Karthikeyan, 2019. "A tri-level optimization model to mitigate coordinated attacks on electric power systems in a cyber-physical environment," Applied Energy, Elsevier, vol. 235(C), pages 204-218.
    30. A. L. Soyster, 1973. "Technical Note—Convex Programming with Set-Inclusive Constraints and Applications to Inexact Linear Programming," Operations Research, INFORMS, vol. 21(5), pages 1154-1157, October.
    31. Chen, Yue & Wei, Wei & Liu, Feng & Mei, Shengwei, 2016. "Distributionally robust hydro-thermal-wind economic dispatch," Applied Energy, Elsevier, vol. 173(C), pages 511-519.
    32. Jin, Hongyang & Li, Zhengshuo & Sun, Hongbin & Guo, Qinglai & Chen, Runze & Wang, Bin, 2017. "A robust aggregate model and the two-stage solution method to incorporate energy intensive enterprises in power system unit commitment," Applied Energy, Elsevier, vol. 206(C), pages 1364-1378.
    33. Mehigan, L. & Deane, J.P. & Gallachóir, B.P.Ó. & Bertsch, V., 2018. "A review of the role of distributed generation (DG) in future electricity systems," Energy, Elsevier, vol. 163(C), pages 822-836.
    34. Se-Hyeok Choi & Akhtar Hussain & Hak-Man Kim, 2018. "Adaptive Robust Optimization-Based Optimal Operation of Microgrids Considering Uncertainties in Arrival and Departure Times of Electric Vehicles," Energies, MDPI, vol. 11(10), pages 1-16, October.
    35. Zhang, Yachao & Xie, Shiwei & Shu, Shengwen, 2022. "Multi-stage robust optimization of a multi-energy coupled system considering multiple uncertainties," Energy, Elsevier, vol. 238(PC).
    36. Yu, Songyuan & Fang, Fang & Liu, Yajuan & Liu, Jizhen, 2019. "Uncertainties of virtual power plant: Problems and countermeasures," Applied Energy, Elsevier, vol. 239(C), pages 454-470.
    37. Gabrel, Virginie & Murat, Cécile & Thiele, Aurélie, 2014. "Recent advances in robust optimization: An overview," European Journal of Operational Research, Elsevier, vol. 235(3), pages 471-483.
    38. Zhou, Suyang & Sun, Kaiyu & Wu, Zhi & Gu, Wei & Wu, Gaoxiang & Li, Zhe & Li, Junjie, 2020. "Optimized operation method of small and medium-sized integrated energy system for P2G equipment under strong uncertainty," Energy, Elsevier, vol. 199(C).
    39. 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).
    40. Jin, Hongyang & Li, Zhengshuo & Sun, Hongbin & Guo, Qinglai & Wang, Bin, 2018. "A two-stage reactive power optimization in transmission network incorporating reserves from voltage-dependent loads," Energy, Elsevier, vol. 157(C), pages 752-763.
    41. Guevara, Esnil & Babonneau, Fréderic & Homem-de-Mello, Tito & Moret, Stefano, 2020. "A machine learning and distributionally robust optimization framework for strategic energy planning under uncertainty," Applied Energy, Elsevier, vol. 271(C).
    42. Alwesabi, Yaseen & Avishan, Farzad & Yanıkoğlu, İhsan & Liu, Zhaocai & Wang, Yong, 2022. "Robust strategic planning of dynamic wireless charging infrastructure for electric buses," Applied Energy, Elsevier, vol. 307(C).
    43. Qiu, Haifeng & Gu, Wei & Pan, Jing & Xu, Bin & Xu, Yinliang & Fan, Miao & Wu, Zhi, 2018. "Multi-interval-uncertainty constrained robust dispatch for AC/DC hybrid microgrids with dynamic energy storage degradation," Applied Energy, Elsevier, vol. 228(C), pages 205-214.
    44. Huang, Hongxu & Liang, Rui & Lv, Chaoxian & Lu, Mengtian & Gong, Dunwei & Yin, Shulin, 2021. "Two-stage robust stochastic scheduling for energy recovery in coal mine integrated energy system," Applied Energy, Elsevier, vol. 290(C).
    45. Ehsan, Ali & Yang, Qiang, 2018. "Optimal integration and planning of renewable distributed generation in the power distribution networks: A review of analytical techniques," Applied Energy, Elsevier, vol. 210(C), pages 44-59.
    46. Pan, Guangsheng & Gu, Wei & Wu, Zhi & Lu, Yuping & Lu, Shuai, 2019. "Optimal design and operation of multi-energy system with load aggregator considering nodal energy prices," Applied Energy, Elsevier, vol. 239(C), pages 280-295.
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