考虑时序特性的配电网风-光-储随机规划模型
|
摘要
针对分布式电源(Distributed Generation, DG)的不确定性和时序特性,构建了考虑时序特性的配电网风-光-储随机规划模型。首先对风电和光伏的时序特性和不确定性概率分布进行详细建模,并给出储能系统的充放电、容量限制约束模型。为充分融入随机规划,采用ARMA模型对风-光的不确定性运行工况进行场景抽取,并通过Kantorovich方法筛选获得10组典型场景。此外,建立以投资成本和运行成本为综合优化目标,二阶锥松弛支路潮流、储能、DG运行相关约束、安全约束等为约束条件的风-光-储投资随机规划模型。最后,通过修改的IEEE33节点系统进行算例分析,验证了该模型的有效性。
Based on the uncertainty and time-varying characteristics of Distributed Generation(DG), a wind-photovoltaicstorage stochastic planning model of distribution network is presented in this paper. Firstly, the time-varying and uncertainty probability distribution of Wind Turbine Generation(WTG) output and Photovoltaic Generation(PVG) output are modeled in detail. The charging and discharging constraint and capacity constraint model of Energy Storage System(ESS) is also given. In order to make the planning model fully integrated into the stochastic programming approach, the ARMA model is used to generate a large amount of uncertain operation conditions of the wind power and solar power. Then 10 typical scenarios are selected from above various conditions by the Kantorovich method. In addition, a wind-photovoltaic-storage investment stochastic planning model is presented, which regards investment cost and operation cost as a comprehensive optimization goal while satisfying second-order cone relaxation based branch power flow model, operation constraints related energy storage and DG, security constraints, etc. Finally, the validity of proposed model is verified by the modified IEEE33-node system.
Based on the uncertainty and time-varying characteristics of Distributed Generation(DG), a wind-photovoltaicstorage stochastic planning model of distribution network is presented in this paper. Firstly, the time-varying and uncertainty probability distribution of Wind Turbine Generation(WTG) output and Photovoltaic Generation(PVG) output are modeled in detail. The charging and discharging constraint and capacity constraint model of Energy Storage System(ESS) is also given. In order to make the planning model fully integrated into the stochastic programming approach, the ARMA model is used to generate a large amount of uncertain operation conditions of the wind power and solar power. Then 10 typical scenarios are selected from above various conditions by the Kantorovich method. In addition, a wind-photovoltaic-storage investment stochastic planning model is presented, which regards investment cost and operation cost as a comprehensive optimization goal while satisfying second-order cone relaxation based branch power flow model, operation constraints related energy storage and DG, security constraints, etc. Finally, the validity of proposed model is verified by the modified IEEE33-node system.
引文
[1]栗然,马慧卓,祝晋尧,等.分布式电源接入配电网多目标优化规划[J].电力自动化设备,2014,34(1):6-13.LI Ran,MA Huizhuo,ZHU Jinyao,et al.Multi-objective optimization for DG integration into distribution system[J].Electric Power Automation Equipment,2014,34(1):6-13.
[2]张节潭,程浩忠,姚良忠,等.分布式风电源选址定容规划研究[J].中国电机工程学报,2009,26(16):1-7.ZHANG Jietan,CHENG Haozhong,YAO Liangzhong,et al.Study on siting and sizing of distributed wind generation[J].Proceedings of the CSEE,2009,29(16):1-7.
[3]MORADI M H,ABEDINI M.A combination of genetic algorithm and particle swarm optimization for optimal DG location and sizing in distribution systems[J].Electrical Power and Energy systems,2010,34(1):66-74.
[4]周强,汪宁渤,何世恩,等.高弃风弃光背景下中国新能源发展总结及前景探究[J].电力系统保护与控制,2017,45(10):146-154.ZHOU Qiang,WANG Ningbo,HE Shien,et al.Summary and prospect of China's new energy development under the background of high abandoned new energy power[J].Power System Protection and Control,2017,45(10):146-154.
[5]李军,颜辉,张仰飞,等.配电网和微网中分布式电源选址定容方法对比分析[J].电力系统保护与控制,2017,45(5):147-154.LI Jun,YAN Hui,ZHANG Yangfei,et al.Comparison of locating and sizing methods of DGs between in micro-grids and in distribution network[J].Power System Protection and Control,2017,45(5):147-154.
[6]张涛,张东方,王凌云,等.基于改进小生境粒子群算法的主动配电网优化重构[J].信阳师范学院学报(自然科学版),2018,32(3):135-140.ZHANG Tao,ZHANG Dongfang,WANG Lingyun,et al.Optimal reconfiguration of the active distribution network based on improved niche multi-objective particle swarm optimization algorithm[J].Journal of Xinyang Normal University(Natural Science Edition),2018,32(3):135-140.
[7]沈欣炜,朱守真,郑竞宏,等.考虑分布式电源及储能配合的主动配电网规划-运行联合优化[J].电网技术,2015,39(7):1913-1920.SHEN Xinwei,ZHU Shouzhen,ZHENG Jinghong,et al.Active distribution network planning-operation cooptimization considering the coordination of ESS and DG[J].Power System Technology,2015,39(7):1913-1920.
[8]HAESEN E,ESPINOZA M.Optimal placement and sizing of distributed generator using fuzzy goal programming with genetic algorithm[J].IEEE European Transaction on Electrical Power,2008,18(3):217-230.
[9]初壮,乔福泉.考虑风电与负荷时序性的分布式风电源选址定容[J].电力系统及其自动化学报,2017,29(10):87-90.CHU Zhuang,QIAO Fuquan.Locating and sizing of distributed wind generation considering wind generation and the timing characteristics of load[J].Proceedings of the CSU-EPSA,2017,29(10):87-90.
[10]徐迅,陈楷,龙禹,等.考虑环境成本和时序特性的微网多类型分布式电源选址定容规划[J].电网技术,2013,37(4):914-921.XU Xun,CHEN Kai,LONG Yu,et al.F Optimal site selection and capacity determination of multi-types of distributed generation in microgrid considering environment cost and timing characteristics[J].Power System Technology,2013,37(4):914-921.
[11]李亮,唐巍,白牧可,等.考虑时序特性的多目标分布式电源选址定容规划[J].电力系统自动化,2013,37(3):58-63.LI Liang,TANG Wei,BAI Muke,et al.Multi-objective locating and sizing of distributed generators based on time-sequence characteristics[J].Automation of Electric Power Systems,2013,37(3):58-63.
[12]方陈,张翔,程浩忠,等.主动管理模式下含分布式发电的配电网网架规划[J].电网技术,2014,38(4):823-829.FANG Chen,ZHANG Xiang,CHENG Haozhong,et al.Framework planning of distribution network containing distributed generation considering active management[J].Power System Technology,2014,38(4):823-829.
[13]彭春华,于蓉,孙惠娟.基于K-均值聚类多场景时序特性分析的分布式电源多目标规划[J].电力自动化设备,2015,35(10):58-65.PENG Chunhua,YU Rong,SUN Huijuan.Multi-objective DG planning based on K-means clustering and multiscenario timing characteristics analysis[J].Electric Power Automation Equipment,2015,35(10):58-65.
[14]娄素华,吴耀武,崔艳昭,等.电池储能平抑短期风电功率波动运行策略[J].电力系统自动化,2014,38(2):17-22.LOU Suhua,WU Yaowu,CUI Yanzhao,et al.Operation strategy of battery energy storage system for smoothing short-term wind power fluctuation[J].Automation of Electric Power Systems,2014,38(2):17-22.
[15]李秀磊,耿光飞,季玉琦,等.考虑实际运行的配电网电池储能系统的优化配置研究[J].电力系统保护与控制,2017,45(9):88-94.LI Xiulei,GENG Guangfei,JI Yuqi,et al.Study on optimal allocation of battery energy storage in distribution network considering the actual operation[J].Power System Protection and Control,2017,45(9):88-94.
[16]鲍冠南,陆超,袁志昌,等.基于动态规划的电池储能系统削峰填谷实时优化[J].电力系统自动化,2012,36(12):11-16.BAO Guannan,LU Chao,YUAN Zhichang,et al.Load shift real-time optimization strategy of battery energy storage system based on dynamic programming[J].Automation of Electric Power Systems,2012,36(12):11-16.
[17]GAO Y,XUE F,YANG W,et al.Optimal operation modes of photovoltaic-battery energy storage system based power plants considering typical scenarios[J].Protection and Control of Modern Power Systems,2017,2(2):397-406.DOI:10.1186/s41601-017-0066-9.
[18]高红均,刘俊勇.考虑不同类型DG和负荷建模的主动配电网协同规划[J].中国电机工程学报,2016,36(18):4911-4922.GAO Hongjun,LIU Junyong.Coordinated planning considering different types of DG and load in active distribution network[J].Proceedings of the CSEE,2016,36(18):4911-4922.
[19]刘思夷,赵波,汪湘晋,等.基于Benders分解的独立型微电网鲁棒优化容量配置模型[J].电力系统自动化,2017,41(21):119-126.LIU Siyi,ZHAO Bo,WANG Xiangjin,et al.Capacity configuration model for robust optimization of stand-alone microgrid based on benders decomposition[J].Automation of Electric Power Systems,2017,41(21):119-126.
[20]邱威,张建华,刘念.含大型风电场的环境经济调度模型与解法[J].中国电机工程学报,2011,31(19):8-16.QIU Wei,ZHANG Jianhua,LIU Nian.Model and solution for environmental/economic dispatch considering large-scale wind power penetration[J].Proceedings of the CSEE,2011,31(19):8-16.
[21]王愿.PV-PHEVs混合供电系统的随机优化及模糊控制研究[D].长沙:长沙理工大学,2012.
[22]XIANG Y,LIU J,LIU Y,et al.Robust energy management of microgrid with uncertain renewable generation and load[J].IEEE Transactions on Smart Grid,2016,7(2):1034-1043.
[23]曾博,刘念,张玉莹,等.促进间歇性分布式电源高效利用的主动配电网双层场景规划方法[J].电工技术学报,2013,28(9):155-163,171.ZENG Bo,LIU Nian,ZHANG Yuying,et al.Bi-level scenario programming of active distribution network for promoting intermittent distributed generation utilization[J].Transactions of China Electrotechnical Society,2013,28(9):155-163,171.
[24]张放,刘继春,高红均,等.基于风电不确定性的电力系统备用容量获取[J].电力系统保护与控制,2013,41(13):14-19.ZHANG Fang,LIU Jichun,GAO Hongjun,et al.Reserve capacity model based on the uncertainty of wind power in the power system[J].Power System Protection and Control,2013,41(13):14-19.
[25]ZENG B,ZHANG J,YANG X,et al.Integrated planning for transition to low-carbon distribution system with renewable energy generation and demand response[J].IEEETransactions on Power Systems,2014,29(3):1153-1165.
[2]张节潭,程浩忠,姚良忠,等.分布式风电源选址定容规划研究[J].中国电机工程学报,2009,26(16):1-7.ZHANG Jietan,CHENG Haozhong,YAO Liangzhong,et al.Study on siting and sizing of distributed wind generation[J].Proceedings of the CSEE,2009,29(16):1-7.
[3]MORADI M H,ABEDINI M.A combination of genetic algorithm and particle swarm optimization for optimal DG location and sizing in distribution systems[J].Electrical Power and Energy systems,2010,34(1):66-74.
[4]周强,汪宁渤,何世恩,等.高弃风弃光背景下中国新能源发展总结及前景探究[J].电力系统保护与控制,2017,45(10):146-154.ZHOU Qiang,WANG Ningbo,HE Shien,et al.Summary and prospect of China's new energy development under the background of high abandoned new energy power[J].Power System Protection and Control,2017,45(10):146-154.
[5]李军,颜辉,张仰飞,等.配电网和微网中分布式电源选址定容方法对比分析[J].电力系统保护与控制,2017,45(5):147-154.LI Jun,YAN Hui,ZHANG Yangfei,et al.Comparison of locating and sizing methods of DGs between in micro-grids and in distribution network[J].Power System Protection and Control,2017,45(5):147-154.
[6]张涛,张东方,王凌云,等.基于改进小生境粒子群算法的主动配电网优化重构[J].信阳师范学院学报(自然科学版),2018,32(3):135-140.ZHANG Tao,ZHANG Dongfang,WANG Lingyun,et al.Optimal reconfiguration of the active distribution network based on improved niche multi-objective particle swarm optimization algorithm[J].Journal of Xinyang Normal University(Natural Science Edition),2018,32(3):135-140.
[7]沈欣炜,朱守真,郑竞宏,等.考虑分布式电源及储能配合的主动配电网规划-运行联合优化[J].电网技术,2015,39(7):1913-1920.SHEN Xinwei,ZHU Shouzhen,ZHENG Jinghong,et al.Active distribution network planning-operation cooptimization considering the coordination of ESS and DG[J].Power System Technology,2015,39(7):1913-1920.
[8]HAESEN E,ESPINOZA M.Optimal placement and sizing of distributed generator using fuzzy goal programming with genetic algorithm[J].IEEE European Transaction on Electrical Power,2008,18(3):217-230.
[9]初壮,乔福泉.考虑风电与负荷时序性的分布式风电源选址定容[J].电力系统及其自动化学报,2017,29(10):87-90.CHU Zhuang,QIAO Fuquan.Locating and sizing of distributed wind generation considering wind generation and the timing characteristics of load[J].Proceedings of the CSU-EPSA,2017,29(10):87-90.
[10]徐迅,陈楷,龙禹,等.考虑环境成本和时序特性的微网多类型分布式电源选址定容规划[J].电网技术,2013,37(4):914-921.XU Xun,CHEN Kai,LONG Yu,et al.F Optimal site selection and capacity determination of multi-types of distributed generation in microgrid considering environment cost and timing characteristics[J].Power System Technology,2013,37(4):914-921.
[11]李亮,唐巍,白牧可,等.考虑时序特性的多目标分布式电源选址定容规划[J].电力系统自动化,2013,37(3):58-63.LI Liang,TANG Wei,BAI Muke,et al.Multi-objective locating and sizing of distributed generators based on time-sequence characteristics[J].Automation of Electric Power Systems,2013,37(3):58-63.
[12]方陈,张翔,程浩忠,等.主动管理模式下含分布式发电的配电网网架规划[J].电网技术,2014,38(4):823-829.FANG Chen,ZHANG Xiang,CHENG Haozhong,et al.Framework planning of distribution network containing distributed generation considering active management[J].Power System Technology,2014,38(4):823-829.
[13]彭春华,于蓉,孙惠娟.基于K-均值聚类多场景时序特性分析的分布式电源多目标规划[J].电力自动化设备,2015,35(10):58-65.PENG Chunhua,YU Rong,SUN Huijuan.Multi-objective DG planning based on K-means clustering and multiscenario timing characteristics analysis[J].Electric Power Automation Equipment,2015,35(10):58-65.
[14]娄素华,吴耀武,崔艳昭,等.电池储能平抑短期风电功率波动运行策略[J].电力系统自动化,2014,38(2):17-22.LOU Suhua,WU Yaowu,CUI Yanzhao,et al.Operation strategy of battery energy storage system for smoothing short-term wind power fluctuation[J].Automation of Electric Power Systems,2014,38(2):17-22.
[15]李秀磊,耿光飞,季玉琦,等.考虑实际运行的配电网电池储能系统的优化配置研究[J].电力系统保护与控制,2017,45(9):88-94.LI Xiulei,GENG Guangfei,JI Yuqi,et al.Study on optimal allocation of battery energy storage in distribution network considering the actual operation[J].Power System Protection and Control,2017,45(9):88-94.
[16]鲍冠南,陆超,袁志昌,等.基于动态规划的电池储能系统削峰填谷实时优化[J].电力系统自动化,2012,36(12):11-16.BAO Guannan,LU Chao,YUAN Zhichang,et al.Load shift real-time optimization strategy of battery energy storage system based on dynamic programming[J].Automation of Electric Power Systems,2012,36(12):11-16.
[17]GAO Y,XUE F,YANG W,et al.Optimal operation modes of photovoltaic-battery energy storage system based power plants considering typical scenarios[J].Protection and Control of Modern Power Systems,2017,2(2):397-406.DOI:10.1186/s41601-017-0066-9.
[18]高红均,刘俊勇.考虑不同类型DG和负荷建模的主动配电网协同规划[J].中国电机工程学报,2016,36(18):4911-4922.GAO Hongjun,LIU Junyong.Coordinated planning considering different types of DG and load in active distribution network[J].Proceedings of the CSEE,2016,36(18):4911-4922.
[19]刘思夷,赵波,汪湘晋,等.基于Benders分解的独立型微电网鲁棒优化容量配置模型[J].电力系统自动化,2017,41(21):119-126.LIU Siyi,ZHAO Bo,WANG Xiangjin,et al.Capacity configuration model for robust optimization of stand-alone microgrid based on benders decomposition[J].Automation of Electric Power Systems,2017,41(21):119-126.
[20]邱威,张建华,刘念.含大型风电场的环境经济调度模型与解法[J].中国电机工程学报,2011,31(19):8-16.QIU Wei,ZHANG Jianhua,LIU Nian.Model and solution for environmental/economic dispatch considering large-scale wind power penetration[J].Proceedings of the CSEE,2011,31(19):8-16.
[21]王愿.PV-PHEVs混合供电系统的随机优化及模糊控制研究[D].长沙:长沙理工大学,2012.
[22]XIANG Y,LIU J,LIU Y,et al.Robust energy management of microgrid with uncertain renewable generation and load[J].IEEE Transactions on Smart Grid,2016,7(2):1034-1043.
[23]曾博,刘念,张玉莹,等.促进间歇性分布式电源高效利用的主动配电网双层场景规划方法[J].电工技术学报,2013,28(9):155-163,171.ZENG Bo,LIU Nian,ZHANG Yuying,et al.Bi-level scenario programming of active distribution network for promoting intermittent distributed generation utilization[J].Transactions of China Electrotechnical Society,2013,28(9):155-163,171.
[24]张放,刘继春,高红均,等.基于风电不确定性的电力系统备用容量获取[J].电力系统保护与控制,2013,41(13):14-19.ZHANG Fang,LIU Jichun,GAO Hongjun,et al.Reserve capacity model based on the uncertainty of wind power in the power system[J].Power System Protection and Control,2013,41(13):14-19.
[25]ZENG B,ZHANG J,YANG X,et al.Integrated planning for transition to low-carbon distribution system with renewable energy generation and demand response[J].IEEETransactions on Power Systems,2014,29(3):1153-1165.