考虑多能负荷不确定性的区域综合能源系统鲁棒规划
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摘要
提出了一种考虑冷电热多能负荷不确定性的区域综合能源系统鲁棒规划方法。基于能源集线器(energy hub,EH)模型,建立了含冷电热三联供、燃气锅炉、集中式制冷站在内的区域综合能源系统模型;根据历史/预测年8 760 h多能负荷数据,通过k-means聚类分群方法得到多个典型日负荷场景,以上下界区间描述负荷不确定性,形成鲁棒规划模型;将相应鲁棒规划模型等价转化、形成子问题为凸的混合整数规划模型求解。算例结果证明了该规划方法的有效性,同时体现了综合能源系统多能互补集成优化效益。
A robust planning method for regional integrated energy system(RIES) is proposed in this paper, in which electric/cooling/heating load uncertainties are considered. Based on energy hub(EH) model, a regional IES planning model including combined cooling, heating and power(CCHP), gas boiler, centralized cooling station is formulated. Several typical daily load curves are obtained by k-means data clustering method based on historical/predicting annual load profile of 8 760 hours. The load uncertainties are described by adaptive upper and lower bounds, thus a robust planning model can be achieved. Furthermore, the model can be equivalently recast as a mixed integer planning model, in which the sub-problem is convex. The case studies demonstrate the effectiveness of the proposed method, as well as the benefits of IES in optimization and coordinations between multi-energy systems.
A robust planning method for regional integrated energy system(RIES) is proposed in this paper, in which electric/cooling/heating load uncertainties are considered. Based on energy hub(EH) model, a regional IES planning model including combined cooling, heating and power(CCHP), gas boiler, centralized cooling station is formulated. Several typical daily load curves are obtained by k-means data clustering method based on historical/predicting annual load profile of 8 760 hours. The load uncertainties are described by adaptive upper and lower bounds, thus a robust planning model can be achieved. Furthermore, the model can be equivalently recast as a mixed integer planning model, in which the sub-problem is convex. The case studies demonstrate the effectiveness of the proposed method, as well as the benefits of IES in optimization and coordinations between multi-energy systems.
引文
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[18] SALIMI M, GHASEMI H, ADELPOUR M A. Optimal planning of energy hubs in interconnected energy systems: a case study for natural gas and electricity[J]. IET Generation Transmission & Distribution, 2015, 9(8): 695-707.
[19] PAZOUKI S, HAGHIFAM M R. Optimal planning and scheduling of energy hub in presence of wind, storage and demand response under uncertainty[J]. International Journal of Electrical Power & Energy Systems, 2016, 80(9): 219-239.
[20] DOLATABADI A, MOHAMMADI-IVATLOO B, ABAPOUR M, et al. Optimal stochastic design of wind integrated energy hub[J]. IEEE Transactions on Industrial Informatics, 2017, 13(5): 2379-2388.
[21] 程林,张靖,黄仁乐,等.基于多能互补的综合能源系统多场景规划案例分析[J].电力自动化设备,2017,37(6):282-287.CHENG Lin, ZHANG Jing, HUANG Renle, et al. Case analysis of multi-scenario planning based on multi-energy complementation for integrated energy system[J]. Electric Power Automation Equipment, 2017, 37(6): 282-287.
[22] 管霖,陈鹏,唐宗顺,等.考虑冷热电存储的区域综合能源站优化设计方法[J].电网技术,2016,40(10):2934-2941.GUAN Lin, CHEN Peng, TANG Zongshun, et al. Integrated energy station design considering cold and heat storage[J]. Power System Technology, 2016, 40(10): 2934-2941.
[23] 王珺,顾伟,陆帅,等.结合热网模型的多区域综合能源系统协同规划[J].电力系统自动化,2016,40(15):17-24.WANG Jun, GU Wei, LU Shuai, et al. Coordinated planning of multi-district integrated energy system combining heating network model[J]. Automation of Electric Power Systems, 2016, 40(15): 17-24.
[24] 于波,孙恒楠,项添春,等.综合能源系统规划设计方法[J].电力建设,2016,37(2):78-84.YU Bo, SUN Hengnan, XIANG Tianchun, et al. Planning design method of integrated energy system[J]. Electric Power Construction, 2016, 37(2): 78-84.
[25] 陈柏森,廖清芬,刘涤尘,等.区域综合能源系统的综合评估指标与方法[J].电力系统自动化,2018,42(4):174-182.DOI:10.7500/AEPS20170605005.CHEN Baisen, LIAO Qingfen, LIU Dichen, et al. Comprehensive evaluation indices and methods for regional integrated energy system[J]. Automation of Electric Power Systems, 2018, 42(4): 174-182. DOI: 10.7500/AEPS20170605005.
[26] 陈群,郝俊红,陈磊,等.电-热综合能源系统中能量的整体输运模型[J].电力系统自动化,2017,41(13):7-13.DOI:10.7500/AEPS20161209002.CHEN Qun, HAO Junhong, CHEN Lei, et al. Integral transport model for energy of electric-thermal integrated energy system[J]. Automation of Electric Power Systems, 2017, 41(13): 7-13. DOI: 10.7500/AEPS20161209002.
[27] 吴聪,唐巍,白牧可,等.基于能源路由器的用户侧能源互联网规划[J].电力系统自动化,2017,41(4):20-28.DOI:10.7500/AEPS20160802010.WU Cong, TANG Wei, BAI Muke, et al. Energy router based planning of Energy Internet at user side[J]. Automation of Electric Power Systems, 2017, 41(4): 20-28. DOI: 10.7500/AEPS20160802010.
[28] BERTSIMAS D, LITVINOV E, SUN X A, et al, Adaptive robust optimization for the security constrained unit commitment problem[J]. IEEE Transactions on Power Systems, 2013, 28(1): 52-63.
[29] JIANG R, WANG J, GUAN Y. Robust unit commitment with wind power and pumped storage hydro[J]. IEEE Transactions on Power Systems, 2012, 27(2): 800-810.
[30] ZHENG Q, WANG J, LIU A. Stochastic optimization for unit commitment—a review[J]. IEEE Transactions on Power Systems, 2015, 30(4): 1913-1924.
[31] BOYD S, VANDENBERGHE L. Convex optimization[M]. Cambridge, UK: Cambridge University Press, 2004.
[32] JABR R A. Robust transmission network expansion planning with uncertain renewable generation and loads[J]. IEEE Transactions on Power Systems, 2013, 28(4): 4558-4567.
[33] RUIZ C, CONEJO A J. Robust transmission expansion planning[J]. European Journal of Operational Research, 2015, 242(2): 390-401.
[34] ZENG B, ZHAO L. Solving two-stage robust optimization problems using a column-and-constraint generation method[J]. Operations Research Letters, 2013, 41(5): 457-461.
[35] DeST中文主页[EB/OL].[2018-09-26].http://dest.tsinghua.edu.cn/.DeST introduction[EB/OL]. [2018-09-26]. http://dest.tsinghua.edu.cn/.
[36] EnergyPlus[EB/OL]. [2018-09-26]. https://www.energyplus.net/.
[37] LLOYD S. Least squares quantization in PCM[J]. IEEE Transactions on Information Theory, 1982, 28(2): 129-137.
[38] 算例数据和条件[EB/OL].[2018-09-26].https://share.weiyun.com/5pbT33Q.Data and conditions for case studies[EB/OL]. [2018-09-26]. https://share.weiyun.com/5pbT33Q.
[2] 孙宏斌,郭庆来,潘昭光,等.能源互联网:驱动力、评述与展望[J].电网技术,2015,39(11):3005-3013.SUN Hongbin, GUO Qinglai, PAN Zhaoguang, et al. Energy internet: driving force, review and outlook[J]. Power System Technology, 2015, 39(11): 3005-3013.
[3] 孙宏斌,郭庆来,潘昭光.能源互联网:理念、架构与前沿展望[J].电力系统自动化,2015,39(19):1-8.SUN Hongbin, GUO Qinglai, PAN Zhaoguang. Energy Internet: concept architecture and frontier outlook[J]. Automation of Electric Power Systems, 2015, 39(19): 1-8.
[4] MANCARELLA P. MES (multi-energy systems): an overview of concepts and evaluation models[J]. Energy, 2014, 39(2): 1-17.
[5] MEIBOM P, HILGER K B, MADSEN H, et al. Energy comes together in Denmark: the key to a future fossil-free Danish power system[J]. IEEE Power and Energy Magazine, 2013, 11(5): 46-55.
[6] XUE Y. Energy Internet or comprehensive energy network?[J]. Journal of Modern Power Systems and Clean Energy, 2015, 3(3): 297-301.
[7] 董朝阳,赵俊华,文福拴,等.从智能电网到能源互联网:基本概念与研究框架[J].电力系统自动化,2014,38(15):1-11.DONG Zhaoyang, ZHAO Junhua, WEN Fushuan, et al. From smart grid to Energy Internet basic concept and research framework[J]. Automation of Electric Power Systems, 2014, 38(15): 1-11.
[8] 贾宏杰,穆云飞,余晓丹.对我国综合能源系统发展的思考[J].电力建设,2015,36(1):16-25.JIA Hongjie, MU Yunfei, YU Xiaodan. Thought about the integrated energy system in China[J]. Electric Power Construction, 2015, 36(1): 16-25.
[9] 余晓丹,徐宪东,陈硕翼,等.综合能源系统与能源互联网简述[J].电工技术学报,2016,31(1):1-13.YU Xiaodan, XU Xiandong, CHEN Shuoyi, et al. A brief review to integrated energy system and Energy Internet[J]. Transactions of China Electrotechnical Society, 2016, 31(1): 1-13.
[10] 王成山,洪博文,郭力,等.冷热电联供微网优化调度通用建模方法[J].中国电机工程学报,2013,35(31):26-33.WANG Chengshan, HONG Bowen, GUO Li, et al. A general modeling method for optimal dispatch of combined cooling, heating and power microgrid[J]. Proceedings of the CSEE, 2013, 35(31): 26-33.
[11] 王锐,顾伟,吴志.含可再生能源的热电联供型微网经济运行优化[J].电力系统自动化,2011,35(8):22-27.WANG Rui, GU Wei, WU Zhi. Economic and optimal operation of a combined heat and power microgrid with renewable energy resources[J]. Automation of Electric Power Systems, 2011, 35(8): 22-27.
[12] MARTINEZ-MARES A, FUERTE-ESQUIVEL C R. A unified gas and power flow analysis in natural gas and electricity coupled networks[J]. IEEE Transactions on Power Systems, 2012, 27(4): 2156-2166.
[13] LIU X. Combined analysis of electricity and heat networks[D]. Cardiff, UK: Cardiff University Institute of Energy, 2013.
[14] GEIDL M. Integrated modeling and optimization of multi-carrier energy systems[D]. Zurich, Switzerland: ETH Zurich, 2007.
[15] 王伟亮,王丹,贾宏杰,等.能源互联网背景下的典型区域综合能源系统稳态分析研究综述[J].中国电机工程学报,2016,36(12):3292-3305.WANG Weiliang, WANG Dan, JIA Hongjie, et al. Review of steady-state analysis of typical regional integrated energy system under the background of energy internet[J]. Proceedings of the CSEE, 2016, 36(12): 3292-3305.
[16] 徐宪东,贾宏杰,靳小龙,等.区域综合能源系统电/气/热混合潮流算法研究[J].中国电机工程学报,2015,35(14):3634-3642.XU Xiandong, JIA Hongjie, JIN Xiaolong, et al. Study on hybrid heat-gas-power flow algorithm for integrated community energy system[J]. Proceedings of the CSEE, 2015, 35(14): 3634-3642.
[17] ZHANG Xiaping, SHAHIDEHPOUR M, ALABDULWAHAB A A. Optimal expansion planning of energy hub with multiple energy infrastructures[J]. IEEE Transactions on Smart Grid, 2015, 6(5): 2302-2311.
[18] SALIMI M, GHASEMI H, ADELPOUR M A. Optimal planning of energy hubs in interconnected energy systems: a case study for natural gas and electricity[J]. IET Generation Transmission & Distribution, 2015, 9(8): 695-707.
[19] PAZOUKI S, HAGHIFAM M R. Optimal planning and scheduling of energy hub in presence of wind, storage and demand response under uncertainty[J]. International Journal of Electrical Power & Energy Systems, 2016, 80(9): 219-239.
[20] DOLATABADI A, MOHAMMADI-IVATLOO B, ABAPOUR M, et al. Optimal stochastic design of wind integrated energy hub[J]. IEEE Transactions on Industrial Informatics, 2017, 13(5): 2379-2388.
[21] 程林,张靖,黄仁乐,等.基于多能互补的综合能源系统多场景规划案例分析[J].电力自动化设备,2017,37(6):282-287.CHENG Lin, ZHANG Jing, HUANG Renle, et al. Case analysis of multi-scenario planning based on multi-energy complementation for integrated energy system[J]. Electric Power Automation Equipment, 2017, 37(6): 282-287.
[22] 管霖,陈鹏,唐宗顺,等.考虑冷热电存储的区域综合能源站优化设计方法[J].电网技术,2016,40(10):2934-2941.GUAN Lin, CHEN Peng, TANG Zongshun, et al. Integrated energy station design considering cold and heat storage[J]. Power System Technology, 2016, 40(10): 2934-2941.
[23] 王珺,顾伟,陆帅,等.结合热网模型的多区域综合能源系统协同规划[J].电力系统自动化,2016,40(15):17-24.WANG Jun, GU Wei, LU Shuai, et al. Coordinated planning of multi-district integrated energy system combining heating network model[J]. Automation of Electric Power Systems, 2016, 40(15): 17-24.
[24] 于波,孙恒楠,项添春,等.综合能源系统规划设计方法[J].电力建设,2016,37(2):78-84.YU Bo, SUN Hengnan, XIANG Tianchun, et al. Planning design method of integrated energy system[J]. Electric Power Construction, 2016, 37(2): 78-84.
[25] 陈柏森,廖清芬,刘涤尘,等.区域综合能源系统的综合评估指标与方法[J].电力系统自动化,2018,42(4):174-182.DOI:10.7500/AEPS20170605005.CHEN Baisen, LIAO Qingfen, LIU Dichen, et al. Comprehensive evaluation indices and methods for regional integrated energy system[J]. Automation of Electric Power Systems, 2018, 42(4): 174-182. DOI: 10.7500/AEPS20170605005.
[26] 陈群,郝俊红,陈磊,等.电-热综合能源系统中能量的整体输运模型[J].电力系统自动化,2017,41(13):7-13.DOI:10.7500/AEPS20161209002.CHEN Qun, HAO Junhong, CHEN Lei, et al. Integral transport model for energy of electric-thermal integrated energy system[J]. Automation of Electric Power Systems, 2017, 41(13): 7-13. DOI: 10.7500/AEPS20161209002.
[27] 吴聪,唐巍,白牧可,等.基于能源路由器的用户侧能源互联网规划[J].电力系统自动化,2017,41(4):20-28.DOI:10.7500/AEPS20160802010.WU Cong, TANG Wei, BAI Muke, et al. Energy router based planning of Energy Internet at user side[J]. Automation of Electric Power Systems, 2017, 41(4): 20-28. DOI: 10.7500/AEPS20160802010.
[28] BERTSIMAS D, LITVINOV E, SUN X A, et al, Adaptive robust optimization for the security constrained unit commitment problem[J]. IEEE Transactions on Power Systems, 2013, 28(1): 52-63.
[29] JIANG R, WANG J, GUAN Y. Robust unit commitment with wind power and pumped storage hydro[J]. IEEE Transactions on Power Systems, 2012, 27(2): 800-810.
[30] ZHENG Q, WANG J, LIU A. Stochastic optimization for unit commitment—a review[J]. IEEE Transactions on Power Systems, 2015, 30(4): 1913-1924.
[31] BOYD S, VANDENBERGHE L. Convex optimization[M]. Cambridge, UK: Cambridge University Press, 2004.
[32] JABR R A. Robust transmission network expansion planning with uncertain renewable generation and loads[J]. IEEE Transactions on Power Systems, 2013, 28(4): 4558-4567.
[33] RUIZ C, CONEJO A J. Robust transmission expansion planning[J]. European Journal of Operational Research, 2015, 242(2): 390-401.
[34] ZENG B, ZHAO L. Solving two-stage robust optimization problems using a column-and-constraint generation method[J]. Operations Research Letters, 2013, 41(5): 457-461.
[35] DeST中文主页[EB/OL].[2018-09-26].http://dest.tsinghua.edu.cn/.DeST introduction[EB/OL]. [2018-09-26]. http://dest.tsinghua.edu.cn/.
[36] EnergyPlus[EB/OL]. [2018-09-26]. https://www.energyplus.net/.
[37] LLOYD S. Least squares quantization in PCM[J]. IEEE Transactions on Information Theory, 1982, 28(2): 129-137.
[38] 算例数据和条件[EB/OL].[2018-09-26].https://share.weiyun.com/5pbT33Q.Data and conditions for case studies[EB/OL]. [2018-09-26]. https://share.weiyun.com/5pbT33Q.
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