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Deriving pack rules for hydro–photovoltaic hybrid power systems considering diminishing marginal benefit of energy

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  • Gong, Yu
  • Liu, Pan
  • Ming, Bo
  • Xu, Weifeng
  • Huang, Kangdi
  • Li, Xiao

Abstract

The hybrid operation of multiple renewables is a promising approach to enhance energy efficiency. The benefit of energy is influenced by a specified target. The energy exceeding the target is still beneficial, while the marginal benefit is diminishing. The diminishing marginal benefit of energy can significantly influence power system performance, however, was seldom considered in hybrid operation. To address this issue, we derive operating rules considering the diminishing marginal benefit of energy, namely the pack rules, for hydro–photovoltaic hybrid systems. First, a two-period hybrid operation model is built incorporating the diminishing marginal benefit of energy. After that, the total operation benefit is maximized and the optimal pack rules are derived to balance between the current and future energy. Finally, the sensitivity analysis of the optimal pack rules is conducted. Results using China’s Ertan hydro–photovoltaic power plant indicate that: (1) the analytical pack rules illustrate that the power output is a piecewise linear function of the available energy, and the power output decreases with the increase in available energy when the power curtailment rate increases significantly; (2) the multi-point pack rules, which are based on two-point and three-point rules, outperform the standard operating policy by 6.92% and 18.76% in terms of operating benefit, respectively; and (3) the optimal water levels are more sensitive to forecast uncertainties for inflow and photovoltaic output in non-flood seasons compared with flood seasons. The derived pack rules could effectively improve the hybrid operation by considering the diminishing marginal benefit of energy.

Suggested Citation

  • Gong, Yu & Liu, Pan & Ming, Bo & Xu, Weifeng & Huang, Kangdi & Li, Xiao, 2021. "Deriving pack rules for hydro–photovoltaic hybrid power systems considering diminishing marginal benefit of energy," Applied Energy, Elsevier, vol. 304(C).
    • Handle: RePEc:eee:appene:v:304:y:2021:i:c:s0306261921011818
    DOI: 10.1016/j.apenergy.2021.117858
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    as
    1. Parwal, Arvind & Fregelius, Martin & Temiz, Irinia & Göteman, Malin & Oliveira, Janaina G. de & Boström, Cecilia & Leijon, Mats, 2018. "Energy management for a grid-connected wave energy park through a hybrid energy storage system," Applied Energy, Elsevier, vol. 231(C), pages 399-411.
    2. Gupta, Ajai & Saini, R.P. & Sharma, M.P., 2011. "Modelling of hybrid energy system—Part I: Problem formulation and model development," Renewable Energy, Elsevier, vol. 36(2), pages 459-465.
    3. Pan Liu & Shenglian Guo & Xiaowei Xu & Jionghong Chen, 2011. "Derivation of Aggregation-Based Joint Operating Rule Curves for Cascade Hydropower Reservoirs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(13), pages 3177-3200, October.
    4. Su, Yufei & Kern, Jordan D. & Characklis, Gregory W., 2017. "The impact of wind power growth and hydrological uncertainty on financial losses from oversupply events in hydropower-dominated systems," Applied Energy, Elsevier, vol. 194(C), pages 172-183.
    5. Garðarsdóttir, Stefanía Ó. & Göransson, Lisa & Normann, Fredrik & Johnsson, Filip, 2018. "Improving the flexibility of coal-fired power generators: Impact on the composition of a cost-optimal electricity system," Applied Energy, Elsevier, vol. 209(C), pages 277-289.
    6. Rodríguez-Hidalgo, M.C. & Rodríguez-Aumente, P.A. & Lecuona, A. & Legrand, M. & Ventas, R., 2012. "Domestic hot water consumption vs. solar thermal energy storage: The optimum size of the storage tank," Applied Energy, Elsevier, vol. 97(C), pages 897-906.
    7. Zou, Dexuan & Li, Steven & Kong, Xiangyong & Ouyang, Haibin & Li, Zongyan, 2019. "Solving the combined heat and power economic dispatch problems by an improved genetic algorithm and a new constraint handling strategy," Applied Energy, Elsevier, vol. 237(C), pages 646-670.
    8. Li, He & Liu, Pan & Guo, Shenglian & Ming, Bo & Cheng, Lei & Yang, Zhikai, 2019. "Long-term complementary operation of a large-scale hydro-photovoltaic hybrid power plant using explicit stochastic optimization," Applied Energy, Elsevier, vol. 238(C), pages 863-875.
    9. Jimenez-Navarro, Juan-Pablo & Kavvadias, Konstantinos & Filippidou, Faidra & Pavičević, Matija & Quoilin, Sylvain, 2020. "Coupling the heating and power sectors: The role of centralised combined heat and power plants and district heat in a European decarbonised power system," Applied Energy, Elsevier, vol. 270(C).
    10. Mazzoni, Stefano & Ooi, Sean & Nastasi, Benedetto & Romagnoli, Alessandro, 2019. "Energy storage technologies as techno-economic parameters for master-planning and optimal dispatch in smart multi energy systems," Applied Energy, Elsevier, vol. 254(C).
    11. Hernández, J.C. & Sanchez-Sutil, F. & Muñoz-Rodríguez, F.J., 2019. "Design criteria for the optimal sizing of a hybrid energy storage system in PV household-prosumers to maximize self-consumption and self-sufficiency," Energy, Elsevier, vol. 186(C).
    12. Huang, Kangdi & Liu, Pan & Ming, Bo & Kim, Jong-Suk & Gong, Yu, 2021. "Economic operation of a wind-solar-hydro complementary system considering risks of output shortage, power curtailment and spilled water," Applied Energy, Elsevier, vol. 290(C).
    13. Zhang, Yusheng & Ma, Chao & Yang, Yang & Pang, Xiulan & Liu, Lu & Lian, Jijian, 2021. "Study on short-term optimal operation of cascade hydro-photovoltaic hybrid systems," Applied Energy, Elsevier, vol. 291(C).
    14. Stack, Daniel C. & Curtis, Daniel & Forsberg, Charles, 2019. "Performance of firebrick resistance-heated energy storage for industrial heat applications and round-trip electricity storage," Applied Energy, Elsevier, vol. 242(C), pages 782-796.
    15. Ming, Bo & Liu, Pan & Guo, Shenglian & Cheng, Lei & Zhou, Yanlai & Gao, Shida & Li, He, 2018. "Robust hydroelectric unit commitment considering integration of large-scale photovoltaic power: A case study in China," Applied Energy, Elsevier, vol. 228(C), pages 1341-1352.
    16. Hirth, Lion, 2016. "The benefits of flexibility: The value of wind energy with hydropower," Applied Energy, Elsevier, vol. 181(C), pages 210-223.
    17. Xu, Weifeng & Liu, Pan & Cheng, Lei & Zhou, Yong & Xia, Qian & Gong, Yu & Liu, Yini, 2021. "Multi-step wind speed prediction by combining a WRF simulation and an error correction strategy," Renewable Energy, Elsevier, vol. 163(C), pages 772-782.
    18. Papaefthymiou, Stefanos V. & Papathanassiou, Stavros A., 2014. "Optimum sizing of wind-pumped-storage hybrid power stations in island systems," Renewable Energy, Elsevier, vol. 64(C), pages 187-196.
    19. Waite, Michael & Modi, Vijay, 2016. "Modeling wind power curtailment with increased capacity in a regional electricity grid supplying a dense urban demand," Applied Energy, Elsevier, vol. 183(C), pages 299-317.
    20. Dong, Changgui & Qi, Ye & Dong, Wenjuan & Lu, Xi & Liu, Tianle & Qian, Shuai, 2018. "Decomposing driving factors for wind curtailment under economic new normal in China," Applied Energy, Elsevier, vol. 217(C), pages 178-188.
    21. Gong, Yu & Liu, Pan & Liu, Yini & Huang, Kangdi, 2021. "Robust operation interval of a large-scale hydro-photovoltaic power system to cope with emergencies," Applied Energy, Elsevier, vol. 290(C).
    22. Jurasz, Jakub & Mikulik, Jerzy & Krzywda, Magdalena & Ciapała, Bartłomiej & Janowski, Mirosław, 2018. "Integrating a wind- and solar-powered hybrid to the power system by coupling it with a hydroelectric power station with pumping installation," Energy, Elsevier, vol. 144(C), pages 549-563.
    23. Wang, Xuebin & Chang, Jianxia & Meng, Xuejiao & Wang, Yimin, 2018. "Short-term hydro-thermal-wind-photovoltaic complementary operation of interconnected power systems," Applied Energy, Elsevier, vol. 229(C), pages 945-962.
    24. Guo, Hongye & Chen, Qixin & Xia, Qing & Kang, Chongqing, 2018. "Market equilibrium analysis with high penetration of renewables and gas-fired generation: An empirical case of the Beijing-Tianjin-Tangshan power system," Applied Energy, Elsevier, vol. 227(C), pages 384-392.
    25. Ming, Bo & Liu, Pan & Guo, Shenglian & Zhang, Xiaoqi & Feng, Maoyuan & Wang, Xianxun, 2017. "Optimizing utility-scale photovoltaic power generation for integration into a hydropower reservoir by incorporating long- and short-term operational decisions," Applied Energy, Elsevier, vol. 204(C), pages 432-445.
    26. Ming, Bo & Liu, Pan & Guo, Shenglian & Cheng, Lei & Zhang, Jingwen, 2019. "Hydropower reservoir reoperation to adapt to large-scale photovoltaic power generation," Energy, Elsevier, vol. 179(C), pages 268-279.
    27. Ding, Ziyu & Wen, Xin & Tan, Qiaofeng & Yang, Tiantian & Fang, Guohua & Lei, Xiaohui & Zhang, Yu & Wang, Hao, 2021. "A forecast-driven decision-making model for long-term operation of a hydro-wind-photovoltaic hybrid system," Applied Energy, Elsevier, vol. 291(C).
    28. Balduzzi, Francesco & Bianchini, Alessandro & Carnevale, Ennio Antonio & Ferrari, Lorenzo & Magnani, Sandro, 2012. "Feasibility analysis of a Darrieus vertical-axis wind turbine installation in the rooftop of a building," Applied Energy, Elsevier, vol. 97(C), pages 921-929.
    29. Gong, Yu & Liu, Pan & Zhang, Jun & Liu, Dedi & Zhang, Xiaoqi & Zhang, Xiaojing, 2020. "Considering different streamflow forecast horizons in the quantitative flood risk analysis for a multi-reservoir system," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    30. Yuan, Wenlin & Wang, Xinqi & Su, Chengguo & Cheng, Chuntian & Liu, Zhe & Wu, Zening, 2021. "Stochastic optimization model for the short-term joint operation of photovoltaic power and hydropower plants based on chance-constrained programming," Energy, Elsevier, vol. 222(C).
    31. Bird, Lori & Lew, Debra & Milligan, Michael & Carlini, E. Maria & Estanqueiro, Ana & Flynn, Damian & Gomez-Lazaro, Emilio & Holttinen, Hannele & Menemenlis, Nickie & Orths, Antje & Eriksen, Peter Børr, 2016. "Wind and solar energy curtailment: A review of international experience," Renewable and Sustainable Energy Reviews, Elsevier, vol. 65(C), pages 577-586.
    32. Xu, Bin & Zhu, Feilin & Zhong, Ping-an & Chen, Juan & Liu, Weifeng & Ma, Yufei & Guo, Le & Deng, Xiaoliang, 2019. "Identifying long-term effects of using hydropower to complement wind power uncertainty through stochastic programming," Applied Energy, Elsevier, vol. 253(C), pages 1-1.
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