基于SOCP的综合能源系统日前调度概率最优能量流
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摘要
随着能源危机的加重,再电气化成为破解能源发展难题的必然选择。根据电气互联综合能源系统作为再电气化的一种新思路,提出利用二阶锥规划求解综合能源系统日前优化调度概率最优能量流的方法。首先,利用电力系统、天然气系统和能源集线器构建综合能源系统日前调度概率模型;然后,将综合能源系统日前调度概率模型放缩为凸模型;接着,采用点估计法求解综合能源系统日前调度概率最优能量流;最后,利用典型算例在MATLAB上的YALMIP平台验证此算法的正确性与有效性。
With the aggravation of energy crisis,re-electrification has become an inevitable choice to solve the problem of energy development.Taking gas-electric integrated energy system(IES)as a new way of re-electrification,second-order cone programming(SOCP)is proposed to solve the probabilistic optimal energy flow of the day-ahead dispatch of IES.Firstly,the day-ahead dispatch of IES model consists of the electric power system(EPS),the natural gas system(NGS)and the energy hub(EH).Then,the day-ahead dispatch of IES model is changed into a convex model and the point estimation method is used to solve the probabilistic optimal energy flow of the day-ahead dispatch.Finally,a typical case study indicates that the algorithm is correct and effective on the YALMIP platform in MATLAB.
With the aggravation of energy crisis,re-electrification has become an inevitable choice to solve the problem of energy development.Taking gas-electric integrated energy system(IES)as a new way of re-electrification,second-order cone programming(SOCP)is proposed to solve the probabilistic optimal energy flow of the day-ahead dispatch of IES.Firstly,the day-ahead dispatch of IES model consists of the electric power system(EPS),the natural gas system(NGS)and the energy hub(EH).Then,the day-ahead dispatch of IES model is changed into a convex model and the point estimation method is used to solve the probabilistic optimal energy flow of the day-ahead dispatch.Finally,a typical case study indicates that the algorithm is correct and effective on the YALMIP platform in MATLAB.
引文
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[12]CHEN S,WEI Z,SUN G,et al.Multi-linear probabilistic energy flow analysis of integrated electrical and natural-gas systems[J].IEEE Transactions on Power Systems,2017,32(3):1970-1979.
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[14]ERDENER B C,PAMBOUR K A,LAVIN R B,et al.An integrated simulation model for analysing electricity and gas systems[J].International Journal of Electrical Power&Energy Systems,2014,61:410-420.
[15]AN S,LI Q,GEDRA T W.Natural gas and electricity optimal power flow[C]//IEEE PES Transmission and Distribution Conference and Exposition,September 7-12,2003,Dallas,USA.
[16]BISKAS P N,KANELAKIS N G,PAPAMATTHAIOU A,et al.Coupled optimization of electricity and natural gas systems using augmented Lagrangian and an alternating minimization method[J].International Journal of Electrical Power&Energy Systems,2016,80:202-218.
[17]SIRVENT M,KANELAKIS N,GEISSLER B,et al.Linearized model for optimization of coupled electricity and natural gas systems[J].Journal of Modern Power Systems and Clean Energy,2017,5(3):364-374.
[18]WANG C,WEI W,WANG J H,et al.Distributed optimal gas-power flow using convex optimization and ADMM[EB/OL].[2018-05-01].http://arxiv.orglabs//610.04681.
[19]林威,靳小龙,穆云飞,等.区域综合能源系统多目标最优混合潮流算法[J].中国电机工程学报,2017,37(20):5829-5839.LIN Wei,JIN Xiaolong,MU Yunfei,et al.Multi-objective optimal hybrid power flow algorithm for integrated local area energy system[J].Proceedings of the CSEE,2017,37(20):5829-5839.
[20]HU Yuan,LIAN Haoran,BIE Zhaohong,et al.Unified probabilistic gas and power flow[J].Journal of Modern Power Systems and Clean Energy,2017,5(3):400-411.
[21]REN Zhouyang,LI Wenyuan,BILLINTON R,et al.Probabilistic power flow analysis based on the stochastic response surface method[J].IEEE Transactions on Power Systems,2016,31(3):2307-2315.
[22]SUN G,CHEN S,WEI Z,et al.Multi-period integrated natural gas and electric power system probabilistic optimal power flow incorporating power-to-gas units[J].Journal of Modern Power Systems and Clean Energy,2017,5(3):412-423.
[23]张世达,孙永辉,卫志农,等.考虑可控光伏系统概率模型的主动配电网日前优化调度[J].电网技术,2018,42(1):247-253.ZHANG Shida,SUN Yonghui,WEI Zhinong,et al.Dayahead optimal scheduling for active distribution network considering controllable photovoltaic system via probability model[J].Power System Technology,2018,42(1):247-253.
[24]GridLAB-D[EB/OL].[2018-05-01].http://www.gridlabd.org/.
[25]CLEGG S,MANCARELLA P.Integrated modeling and assessment of the operational impact of power-to-gas(P2G)on electrical and gas transmission networks[J].IEEETransactions on Sustainable Energy,2015,6(4):1234-1244.
[26]FARIVAR M,LOW S H.Branch flow model:relaxations and convexification-partⅠ[J].IEEE Transactions on Power Systems,2013,28(3):2554-2564.
[27]FARIVAR M,LOW S H.Branch flow model:relaxations and convexification-partⅡ[J].IEEE Transactions on Power Systems,2013,28(3):2565-2572.
[28]GAO H,LIU J,WANG L.Robust coordinated optimization of active and reactive power in active distribution systems[J].IEEE Transactions on Smart Grid,2018,9(5):4436-4447.
[29]潘炜,刘文颖,杨以涵.概率最优潮流的点估计算法[J].中国电机工程学报,2008,28(16):28-33.PAN Wei,LIU Wenying,YANG Yihan.Point estimate method for probabilistically optimal power flow computation[J].Proceedings of the CSEE,2008,28(16):28-33.
[30]符杨,廖剑波,李振坤,等.考虑越限风险的主动配电网日前优化调度及运行[J].中国电机工程学报,2017,37(21):6328-6338.FU Yang,LIAO Jianbo,LI Zhenkun,et al.Day-ahead optimal scheduling and operating of active distribution network considering violation risk[J].Proceedings of the CSEE,2017,37(21):6328-6338.
[2]王毅,张宁,康重庆.能源互联网中能量枢纽的优化规划与运行研究综述及展望[J].中国电机工程学报,2015,35(22):5669-5681.WANG Yi,ZHANG Ning,KANG Chongqing.Review and prospect of optimal planning and operation of energy hub in energy internet[J].Proceedings of the CSEE,2015,35(22):5669-5681.
[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]刘涤尘,彭思成,廖清芬,等.面向能源互联网的未来综合配电系统形态展望[J].电网技术,2015,39(11):3023-3034.LIU Dichen,PENG Sicheng,LIAO Qingfen,et al.Outlook of future integrated distribution system morphology orienting to energy internet[J].Power System Technology,2015,39(11):3023-3034.
[5]艾芊,郝然.多能互补、集成优化能源系统关键技术及挑战[J].电力系统自动化,2018,42(4):2-10.DOI:10.7500/AEPS20170927008.AI Qian,HAO Ran.Key technologies and challenges for multienergy complementarity and optimization of integrated energy system[J].Automation of Electric Power Systems,2018,42(4):2-10.DOI:10.7500/AEPS20170927008.
[6]徐航,董树锋,何仲潇,等.考虑能量梯级利用的工厂综合能源系统多能协同优化[J].电力系统自动化,2018,42(14):123-130.DOI:10.7500/AEPS20170825006.XU Hang,DONG Shufeng,HE Zhongxiao,et al.Multi-energy cooperative optimization of integrated energy system in plant considering stepped utilization of energy[J].Automation of Electric Power Systems,2018,42(14):123-130.DOI:10.7500/AEPS20170825006.
[7]U.S.Energy Information Administration.International energy outlook[EB/OL].[2018-05-01].http://www.eia.gov/outlooks/ieo/pdf/0484(2016).pdf.
[8]我国首个页岩气田建成产能相当于千万吨级大油田[EB/OL].[2018-05-01].http://news.cctv.com/2018/03/26/ARTIBkJyS14blho5AI7mSZvh180326.shtml.Production capacity of China’s first shale gas field is equivalent to ten million tons of large oil field[EB/OL].[2018-05-01].http://news.cctv.com/2018/03/26/ARTIBkJyS14blho5AI7m SZvh180326.shtml.
[9]俄罗斯与中国签订天然气协议总价4000亿美元[EB/OL].[2018-05-01].http://world.huanqiu.com.exclusive/2014-05/5001895.html.Russia and China sign a total price of$400billion for natural gasagreement[EB/OL].[2018-05-01].http://world.huanqiu.com.exclusive/2014-05/5001895.html.
[10]卫志农,张思德,孙国强,等.基于碳交易机制的电-气互联综合能源系统低碳经济运行[J].电力系统自动化,2016,40(15):9-16.WEI Zhinong,ZHANG Side,SUN Guoqiang,et al.Carbon trading based low-carbon economic operation for integrated electricity and natural gas energy system[J].Automation of Electric Power Systems,2016,40(15):9-16.
[11]靳小龙,穆云飞,贾宏杰,等.考虑配电网重构的区域综合能源系统最优混合潮流计算[J].电力系统自动化,2017,41(1):18-24.DOI:10.7500/AEPS20160513005.JIN Xiaolong,MU Yunfei,JIA Hongjie,et al.Calculation of optimal hybrid power flow for integrated community energy system considering power distribution network reconfiguration[J].Automation of Electric Power Systems,2017,41(1):18-24.DOI:10.7500/AEPS20160513005.
[12]CHEN S,WEI Z,SUN G,et al.Multi-linear probabilistic energy flow analysis of integrated electrical and natural-gas systems[J].IEEE Transactions on Power Systems,2017,32(3):1970-1979.
[13]LI Q,AN S,GEDRA T W.Solving natural gas load flow problems using electric load flow techniques[EB/OL].[2018-05-01].http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.80.9709&rep=rep1&type=pdf.
[14]ERDENER B C,PAMBOUR K A,LAVIN R B,et al.An integrated simulation model for analysing electricity and gas systems[J].International Journal of Electrical Power&Energy Systems,2014,61:410-420.
[15]AN S,LI Q,GEDRA T W.Natural gas and electricity optimal power flow[C]//IEEE PES Transmission and Distribution Conference and Exposition,September 7-12,2003,Dallas,USA.
[16]BISKAS P N,KANELAKIS N G,PAPAMATTHAIOU A,et al.Coupled optimization of electricity and natural gas systems using augmented Lagrangian and an alternating minimization method[J].International Journal of Electrical Power&Energy Systems,2016,80:202-218.
[17]SIRVENT M,KANELAKIS N,GEISSLER B,et al.Linearized model for optimization of coupled electricity and natural gas systems[J].Journal of Modern Power Systems and Clean Energy,2017,5(3):364-374.
[18]WANG C,WEI W,WANG J H,et al.Distributed optimal gas-power flow using convex optimization and ADMM[EB/OL].[2018-05-01].http://arxiv.orglabs//610.04681.
[19]林威,靳小龙,穆云飞,等.区域综合能源系统多目标最优混合潮流算法[J].中国电机工程学报,2017,37(20):5829-5839.LIN Wei,JIN Xiaolong,MU Yunfei,et al.Multi-objective optimal hybrid power flow algorithm for integrated local area energy system[J].Proceedings of the CSEE,2017,37(20):5829-5839.
[20]HU Yuan,LIAN Haoran,BIE Zhaohong,et al.Unified probabilistic gas and power flow[J].Journal of Modern Power Systems and Clean Energy,2017,5(3):400-411.
[21]REN Zhouyang,LI Wenyuan,BILLINTON R,et al.Probabilistic power flow analysis based on the stochastic response surface method[J].IEEE Transactions on Power Systems,2016,31(3):2307-2315.
[22]SUN G,CHEN S,WEI Z,et al.Multi-period integrated natural gas and electric power system probabilistic optimal power flow incorporating power-to-gas units[J].Journal of Modern Power Systems and Clean Energy,2017,5(3):412-423.
[23]张世达,孙永辉,卫志农,等.考虑可控光伏系统概率模型的主动配电网日前优化调度[J].电网技术,2018,42(1):247-253.ZHANG Shida,SUN Yonghui,WEI Zhinong,et al.Dayahead optimal scheduling for active distribution network considering controllable photovoltaic system via probability model[J].Power System Technology,2018,42(1):247-253.
[24]GridLAB-D[EB/OL].[2018-05-01].http://www.gridlabd.org/.
[25]CLEGG S,MANCARELLA P.Integrated modeling and assessment of the operational impact of power-to-gas(P2G)on electrical and gas transmission networks[J].IEEETransactions on Sustainable Energy,2015,6(4):1234-1244.
[26]FARIVAR M,LOW S H.Branch flow model:relaxations and convexification-partⅠ[J].IEEE Transactions on Power Systems,2013,28(3):2554-2564.
[27]FARIVAR M,LOW S H.Branch flow model:relaxations and convexification-partⅡ[J].IEEE Transactions on Power Systems,2013,28(3):2565-2572.
[28]GAO H,LIU J,WANG L.Robust coordinated optimization of active and reactive power in active distribution systems[J].IEEE Transactions on Smart Grid,2018,9(5):4436-4447.
[29]潘炜,刘文颖,杨以涵.概率最优潮流的点估计算法[J].中国电机工程学报,2008,28(16):28-33.PAN Wei,LIU Wenying,YANG Yihan.Point estimate method for probabilistically optimal power flow computation[J].Proceedings of the CSEE,2008,28(16):28-33.
[30]符杨,廖剑波,李振坤,等.考虑越限风险的主动配电网日前优化调度及运行[J].中国电机工程学报,2017,37(21):6328-6338.FU Yang,LIAO Jianbo,LI Zhenkun,et al.Day-ahead optimal scheduling and operating of active distribution network considering violation risk[J].Proceedings of the CSEE,2017,37(21):6328-6338.