基于协同多目标粒子群优化的交直流系统最优潮流
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摘要
为了统一协调经济性和电压偏差,提出一种基于协同多目标粒子群优化(CMOPSO)的含基于电压源型变流器的高压直流(VSC-HVDC)输电的交直流系统多目标最优潮流(MOPF)算法。首先,基于VSC-HVDC稳态模型,以最小化发电成本和电压偏差为目标,构建交直流系统的MOPF模型;然后,采用CMOPSO算法优化该模型,得到具有良好分布的帕累托最优解集;最后,在通过模糊C均值算法将所得解集进行聚类的基础上,采用灰关联投影法计算各决策方案的优属度,确定反映决策者不同偏好的最优折中解。应用于IEEE 14节点和IEEE 118节点系统的测试结果验证了所提方法的有效性。
In order to uniformly coordinate economy and voltage deviations,a novel multi-objective optimal power flow(MOPF)algorithm is proposed for an AC/DC system with VSC-HVDC based on cooperative multi-objective particle swarm optimization(CMOPSO).In order to minimize power generation costs and voltage deviations,the MOPF model of the AC/DC system is built based on the VSC-HVDC steady-state model.The CMOPSO is adopted for solving the MOPF model to find well-distributed Pareto-optimal solutions.Then the solutions are divided into different groups via the fuzzy C-means algorithm.Finally,the optimal compromise solutions reflecting decision-makers" different preferences are identified from each group by comparing the priority memberships which are calculated by using the grey relation projection method.The validity of the proposed approach is verified by using the modified IEEE 14-bus and 118-bus systems.
In order to uniformly coordinate economy and voltage deviations,a novel multi-objective optimal power flow(MOPF)algorithm is proposed for an AC/DC system with VSC-HVDC based on cooperative multi-objective particle swarm optimization(CMOPSO).In order to minimize power generation costs and voltage deviations,the MOPF model of the AC/DC system is built based on the VSC-HVDC steady-state model.The CMOPSO is adopted for solving the MOPF model to find well-distributed Pareto-optimal solutions.Then the solutions are divided into different groups via the fuzzy C-means algorithm.Finally,the optimal compromise solutions reflecting decision-makers" different preferences are identified from each group by comparing the priority memberships which are calculated by using the grey relation projection method.The validity of the proposed approach is verified by using the modified IEEE 14-bus and 118-bus systems.
引文
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[16]李亚辉.计及安全约束的含VSC-HVDC交直流系统多目标最优潮流研究[D].吉林:东北电力大学,2018.LI Yahui.Research on multi-objective optimal power flow for hybrid AC/DC systems with VSC-HVDC considering security constraints[D].Jilin:Northeast Electric Power University,2018.
[17]BEERTEN J,BELMANS R.Development of an open source power flow software for high voltage direct current grids and hybrid AC/DC systems:MATACDC[J].IET Generation,Transmission&Distribution,2015,9(10):966-974.
[18]徐殿国,刘瑜超,武健.多端直流输电系统控制研究综述[J].电工技术学报,2015,30(17):1-12.XU Dianguo,LIU Yuchao, WU Jian.Review on control strategies of multi-terminal direct current transmission system[J].Transactions of China Electrotechnical Society,2015,30(17):1-12.
[19]ZHAO Xiaodong,LI Kang.Droop setting design for multiterminal HVDC grids considering voltage deviation impacts[J].Electric Power Systems Research,2015,123:67-75.
[20]HAN H,LU W,QIAO J.An adaptive multiobjective particle swarm optimization based on multiple adaptive methods[J].IEEE Transactions on Cybernetics,2017,47(9):2754-2767.
[21]LI Yang,LI Yahui,LI Guoqing,et al.Two-stage multiobjectiveOPFforAC/DCgridswithVSC-HVDC:incorporating decisions analysis into optimization process[J].Energy,2018,147:286-296.
[22]LI Yang,WANG Jinlong,ZHAO Dongbo,et al.A two-stage approach for combined heat and power economic emission dispatch:combiningmulti-objectiveoptimizationwith integrated decision making[J].Energy,2018,162:237-254.
[2]RABIEE A,SOROUDI A, KEANE A.Information gap99decision theory based OPF with HVDC connected wind farms[J].IEEE Transactions on Power Systems,2015,30(6):3396-3406.
[3]SHAHEEN A M,EL-SEHIEMY R A,FARRAG S M.Solving multi-objective optimal power flow problem via forced initialised differential evolutionalgorithm[J]. IETGeneration,Transmission&Distribution,2016,10(7):1634-1647.
[4]AZIZIPANAH A R,TERZIJA V,GOLESTANEH F,et al.Multi-objective dynamic optimal power flow considering fuzzybased smart utilization of mobile electric vehicles[J].IEEE Transactions on Industrial Informatics,2016,12(2):503-514.
[5]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.
[6]KIM M K. Multi-objective optimization operation with corrective control actions for meshed AC/DC grids including multi-terminal VSC-HVDC[J].International Journal of Electrical Power&Energy Systems,2017,93:178-193.
[7]汤广福,庞辉,贺之渊.先进交直流输电技术在中国的发展与应用[J].中国电机工程学报,2016,36(7):1760-1771.TANG Guangfu, PANG Hui, HE Zhiyuan.R&D and application of advanced power transmission technology in China[J].Proceedings of the CSEE,2016,36(7):1760-1771.
[8]许丹,姜曼,郑晓雨,等.含多端柔性直流电网的调度计划优化建模[J].电力系统自动化,2017,41(23):22-28.DOI:10.7500/AEPS20170217003.XU Dan,JIANG Man,ZHENG Xiaoyu,et al.Optimal modeling of dispatch scheduling for power grid with VSC-MTDC system[J].Automation of Electric Power Systems,2017,41(23):22-28.DOI:10.7500/AEPS20170217003.
[9]卫志农,季聪,孙国强,等.含VSC-HVDC的交直流系统内点法最优潮流计算[J].中国电机工程学报,2012,32(19):89-95.WEI Zhinong,JI Cong,SUN Guoqiang,et al.Interior-point optimal power flow of AC-DC system with VSC-HVDC[J].Proceedings of the CSEE,2012,32(19):89-95.
[10]CAO J, DU W, WANG H F,et al.Minimization of transmission loss in meshed AC/DC grids with VSC-MTDC networks[J].IEEE Transactions on Power Systems,2013,28(3):3047-3055.
[11]BARADAR M,HESAMZADEH M R,GHANDHARI M.Second-order cone programming for optimal power flow in VSC-type AC-DC grids[J].IEEE Transactions on Power Systems,2013,28(4):4282-4291.
[12]FENG W,LE T A,TJERNBERG L B,et al.A new approach for benefit evaluation of multiterminal VSC-HVDC using a proposed mixed AC/DC optimal power flow[J].IEEE Transactions on Power Delivery,2014,29(1):432-443.
[13]WIGET R.Combined AC and multi-terminal HVDC grids—optimal power flow formulations and dynamic control[D].Switzerland:ETH Zurich,2015.
[14]李扬,李亚辉,李国庆,等.考虑经济性和环境因素的含VSCHVDC交直流系统多目标最优潮流[J].电网技术,2016,40(9):2661-2667.LI Yang,LI Yahui,LI Guoqing,et al.A multi-objective optimal power flow approach considering economy and environmental factors for hybrid AC/DC grids incorporating VSC-HVDC[J].Power System Technology,2016,40(9):2661-2667.
[15]韩通,陈艳波,韩子娇,等.基于最优潮流的含VSC-HVDC交直流系统最大输电能力计算[J].电力系统自动化,2016,40(17):113-121.DOI:10.7500/AEPS20151208012.HAN Tong,CHEN Yanbo,HAN Zijiao,et al.OPF based total transfer capability calculation for AC/DC system with VSC-HVDC[J].Automation of Electric Power Systems,2016,40(17):113-121.DOI:10.7500/AEPS20151208012.
[16]李亚辉.计及安全约束的含VSC-HVDC交直流系统多目标最优潮流研究[D].吉林:东北电力大学,2018.LI Yahui.Research on multi-objective optimal power flow for hybrid AC/DC systems with VSC-HVDC considering security constraints[D].Jilin:Northeast Electric Power University,2018.
[17]BEERTEN J,BELMANS R.Development of an open source power flow software for high voltage direct current grids and hybrid AC/DC systems:MATACDC[J].IET Generation,Transmission&Distribution,2015,9(10):966-974.
[18]徐殿国,刘瑜超,武健.多端直流输电系统控制研究综述[J].电工技术学报,2015,30(17):1-12.XU Dianguo,LIU Yuchao, WU Jian.Review on control strategies of multi-terminal direct current transmission system[J].Transactions of China Electrotechnical Society,2015,30(17):1-12.
[19]ZHAO Xiaodong,LI Kang.Droop setting design for multiterminal HVDC grids considering voltage deviation impacts[J].Electric Power Systems Research,2015,123:67-75.
[20]HAN H,LU W,QIAO J.An adaptive multiobjective particle swarm optimization based on multiple adaptive methods[J].IEEE Transactions on Cybernetics,2017,47(9):2754-2767.
[21]LI Yang,LI Yahui,LI Guoqing,et al.Two-stage multiobjectiveOPFforAC/DCgridswithVSC-HVDC:incorporating decisions analysis into optimization process[J].Energy,2018,147:286-296.
[22]LI Yang,WANG Jinlong,ZHAO Dongbo,et al.A two-stage approach for combined heat and power economic emission dispatch:combiningmulti-objectiveoptimizationwith integrated decision making[J].Energy,2018,162:237-254.
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