含分布式电源三相不平衡配电网供电能力评估
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摘要
随着分布式电源特别是光伏等间歇式电源的接入,配电网固有的三相不平衡特征更加突出,基于此探究了含分布式电源的三相不平衡的配电网供电能力评估方法。首先,提出一种含多种分布式电源三相不平衡配电网供电能力评估模型,该模型以配电网供电负荷最大为目标,同时考虑负荷增长功率因数和节点三相电压不平衡度等约束条件;其次,基于量子粒子群优化算法求解配电网供电能力问题,通过量子位的概率幅对连续和离散粒子进行编码,再采用量子旋转门实现连续粒子的更新和取整法实现离散粒子的更新以提高搜索精度,并利用量子与非门实现粒子的变异以避免早熟现象,进而提高算法的全局搜索能力和寻优效率;最后,结合修正的IEEE-33节点三相不平衡配电网对配电网供电能力评估进行算例仿真。算例结果证明了所提模型和方法的有效性。
With connection of distributed generations(DGs)especially connection of those intermittent DGs such as photovoltaic(PV),inherent feature of three-phase unbalance of the power distribution network has become more and more prominent.Therefore,this paper discusses the evaluation method for power supply ability of the power distribution network with three-phase unbalance of DG.It firstly presents a kind of evaluation method for power supply ability of the distribution network with multiple three-phase unbalance of DGs which aims at the maximum of power supply load of the distribution network and considers constraint conditions such as load growth power factors and three-phase unbalance degree of the node at the same time.Secondly,it solves the problem of power supply ability of the power distribution network based on the quantum-behaved particle swarm optimization algorithm,and encodes continuous and discrete particles according to probabilities of quantum bits.By adopting the quantum rotation gate and integration method,it can respectively realize updating of continuous particles and discrete particles so as to improve searching precision.In addition,by means of quantum NAND gate,it can realize variation of particles so as to avoid prematurity phenomenon and improve global searching ability and optimization efficiency of the algorithm.Finally,it makes simulation on power supply ability of the distribution network based on modified IEEE-33 three-phase unbalanced distribution network.Corresponding results prove effectiveness of the model and method.
With connection of distributed generations(DGs)especially connection of those intermittent DGs such as photovoltaic(PV),inherent feature of three-phase unbalance of the power distribution network has become more and more prominent.Therefore,this paper discusses the evaluation method for power supply ability of the power distribution network with three-phase unbalance of DG.It firstly presents a kind of evaluation method for power supply ability of the distribution network with multiple three-phase unbalance of DGs which aims at the maximum of power supply load of the distribution network and considers constraint conditions such as load growth power factors and three-phase unbalance degree of the node at the same time.Secondly,it solves the problem of power supply ability of the power distribution network based on the quantum-behaved particle swarm optimization algorithm,and encodes continuous and discrete particles according to probabilities of quantum bits.By adopting the quantum rotation gate and integration method,it can respectively realize updating of continuous particles and discrete particles so as to improve searching precision.In addition,by means of quantum NAND gate,it can realize variation of particles so as to avoid prematurity phenomenon and improve global searching ability and optimization efficiency of the algorithm.Finally,it makes simulation on power supply ability of the distribution network based on modified IEEE-33 three-phase unbalanced distribution network.Corresponding results prove effectiveness of the model and method.
引文
[1]MIU K N,CHIANG H D.A study of electric distribution network load capability[C]//Proceedings of 1997 IEEE International Symposium on Circuits and Systems.Hong Kong,China:IEEE International Symposium,1997:997-1000.
[2]王成山,罗凤章,肖峻,等.基于主变互联关系的配电系统供电能力计算方法[J].中国电机工程学报,2009,29(13):86-91.WANG Chengshan,LUO Fengzhang,XIAO Jun,et al.An evaluation method for power supply capability of distribution system based on analyzing interconnections of main transformers[J].Proceedings of the CSEE,2009,29(13):86-91.
[3]肖峻,谷文卓,王成山,等.基于馈线互联关系的配电网最大供电能力模型[J].电力系统自动化,2013,37(17):72-77.XIAO Jun,GU Wenzhuo,WANG Chengshan,et al.A total supply capability method for power distribution network based on feeders interconnection[J].Automation of Electric Power System,2013,37(17):72-77.
[4]郭林,李杰.面向提高供电能力的中压配电网架精细化规划方法[J].电网与清洁能源,2018,34(1):8-14.GUO Lin,LI Jie.Research on the precise planning of midvoltage distribution network based on improving power supply capability[J].Power System and Clean Energy,2018,34(1):8-14.
[5]刘洪,李吉峰,张家安,等.考虑可靠性的中压配电系统供电能力评估[J].电力系统自动化,2017,41(12):154-160.LIU Hong,LI Jifeng,ZHANG Jia'an,et al.Power supply capability evaluation of medium voltage distribution system considering reliability[J].Automation of Electric Power Systems,2017,41(12):154-160.
[6]李欣然,刘友强,朱湘友,等.地区中压配电网容载比的研究[J].继电器,2006,34(7):47-50.LI Xinran,LIU Youqiang,ZHU Xiangyou,et al.Research on capability load ratio in district MV distribution networks[J].Relay,2006,34(7):47-50.
[7]邱丽萍,范明天.城市电网最大供电能力评价算法[J].电网技术,2006,30(9):68-71.QIU Liping,FAN Mingtian.A new algorithm to evaluate maximum power supply capability of urban distribution network[J].Power System Technology,2006,30(9):68-71.
[8]束洪春,胡泽江,刘宗兵.城市电网最大供电能力在线评估方法及其应用[J].电网技术,2008,32(9):46-50.SHU Hongchun,HU Zejiang,LIU Zongbing.Online evaluation of utmost power supply ability of urban power system and its application[J].Power System Technology,2008,32(9):46-50.
[9]李红军,李敬如,杨卫红.基于信赖域法的城市电网供电能力充裕度评估[J].电网技术,2010,34(8):92-96.LI Hongjun,LI Jingru,YANG Weihong.Assessment of urban power network power supply capability by trust region method[J].Power System Technology,2010,34(8):92-96.
[10]李振坤,陈星莺,刘皓明,等.配电网供电能力的实时评估分析[J].电力系统自动化,2009,33(6):36-40.LI Zhenkun,CHEN Xingying,LIU Haoming,et al.Online assessment of distribution network loading capability[J].Automation of Electric Power System,2009,33(6):36-40.
[11]丁明,郭学凤.含多种分布式电源的弱环配电网三相潮流计算[J].中国电机工程学报,2009,29(13):35-40.DING Ming,GUO Xuefeng.Three-phase power flow for the weakly meshed distribution network with the distributed generation[J].Proceeding of the CSEE,2009,29(13):35-40.
[12]莫超,吴杰康,简俊威,等.考虑源-荷随机协调特性的配电网概率潮流多目标优化方法[J].广东电力,2018,31(1):74-81.MO Chao,WU Jiekang,JIAN Junwei,et al.Multi-objective optimization method for probabilistic power flow of power distribution network considering stochastic coordination of power source and load[J].Guangdong Electric Power,2018,31(1):74-81.
[13]MIU K N,CHIANG H D.Electric distribution system load capability:problems formulation,solution algorithm,and numerical results[J].IEEE Transactions on Power Delivery,2000,15(1):436-442.
[14]COLEMAN N S,MIU K N.Distribution load capability with nodal power factor constraints[J].IEEE Transactions on Power Systems,2017,32(4):3120-3126.
[15]PILLAY P,HOFRMANN P,MANYAGE M.Derating of induction motors operating with a combination of unbalanced voltage and over or under voltages[J].IEEE Transaction on Energy Conversion,2002,17(4):485-491.
[16]朱星阳,张建华,刘文霞,等.考虑负荷电压静特性的含分布式电源的配电网潮流计算[J].电网技术,2012,36(2):218-223.ZHU Xingyang,ZHANG Jianhua,LIU Wenxia,et al.Power flow calculation of distribution system with distributed generation considering static load characteristics[J].Power System Technology,2012,36(2):218-223.
[17]SUN J,XU W B,FENG B.Adaptive parameter control for quantum-behaved particle swarm optimization on individual level[C]//Proceedings of 2005 IEEE International Conference on Systems,Man and Cybernetics.Waikoloa,HI,USA:IEEE International Conference on Systems,2005:3049-3054.
[18]王智冬,刘连光,刘自发,等.基于量子粒子群算法的风火打捆容量及直流落地点优化配置[J].中国电机工程学报,2014,34(13):2055-2062.WANG Zhidong,LIU Lianguang,LIU Zifa,et al.Optimal Configuration of wind&coal power capacity and DC placement based on quantum PSO algorithm[J].Proceedings of the CSEE,2014,34(13):2055-2062.
[19]王晶,陈俊宇,金华峰.含分布式电源的配电网动态孤岛划分博弈模型[J].电力系统保护与控制,2016,44(14):14-24.WANG Jing,CHEN Junyu,JIN Huafeng.A game model of dynamic island partition for distribution network with DGs[J].Power System Protection and Control,2016,44(14):14-24.
[20]赵晋泉,范晓龙,高宗和,等.含分布式电源的三相不平衡配电网连续潮流计算[J].电力系统自动化,2015,39(9):48-53.ZHAO Jinquan,FAN Xiaolong,GAO Zonghe,et al.Continuation power flow calculation for unbalanced three-phase distribution networks with distributed generators[J].Automation of Electric Power System,2015,39(9):48-53.
[2]王成山,罗凤章,肖峻,等.基于主变互联关系的配电系统供电能力计算方法[J].中国电机工程学报,2009,29(13):86-91.WANG Chengshan,LUO Fengzhang,XIAO Jun,et al.An evaluation method for power supply capability of distribution system based on analyzing interconnections of main transformers[J].Proceedings of the CSEE,2009,29(13):86-91.
[3]肖峻,谷文卓,王成山,等.基于馈线互联关系的配电网最大供电能力模型[J].电力系统自动化,2013,37(17):72-77.XIAO Jun,GU Wenzhuo,WANG Chengshan,et al.A total supply capability method for power distribution network based on feeders interconnection[J].Automation of Electric Power System,2013,37(17):72-77.
[4]郭林,李杰.面向提高供电能力的中压配电网架精细化规划方法[J].电网与清洁能源,2018,34(1):8-14.GUO Lin,LI Jie.Research on the precise planning of midvoltage distribution network based on improving power supply capability[J].Power System and Clean Energy,2018,34(1):8-14.
[5]刘洪,李吉峰,张家安,等.考虑可靠性的中压配电系统供电能力评估[J].电力系统自动化,2017,41(12):154-160.LIU Hong,LI Jifeng,ZHANG Jia'an,et al.Power supply capability evaluation of medium voltage distribution system considering reliability[J].Automation of Electric Power Systems,2017,41(12):154-160.
[6]李欣然,刘友强,朱湘友,等.地区中压配电网容载比的研究[J].继电器,2006,34(7):47-50.LI Xinran,LIU Youqiang,ZHU Xiangyou,et al.Research on capability load ratio in district MV distribution networks[J].Relay,2006,34(7):47-50.
[7]邱丽萍,范明天.城市电网最大供电能力评价算法[J].电网技术,2006,30(9):68-71.QIU Liping,FAN Mingtian.A new algorithm to evaluate maximum power supply capability of urban distribution network[J].Power System Technology,2006,30(9):68-71.
[8]束洪春,胡泽江,刘宗兵.城市电网最大供电能力在线评估方法及其应用[J].电网技术,2008,32(9):46-50.SHU Hongchun,HU Zejiang,LIU Zongbing.Online evaluation of utmost power supply ability of urban power system and its application[J].Power System Technology,2008,32(9):46-50.
[9]李红军,李敬如,杨卫红.基于信赖域法的城市电网供电能力充裕度评估[J].电网技术,2010,34(8):92-96.LI Hongjun,LI Jingru,YANG Weihong.Assessment of urban power network power supply capability by trust region method[J].Power System Technology,2010,34(8):92-96.
[10]李振坤,陈星莺,刘皓明,等.配电网供电能力的实时评估分析[J].电力系统自动化,2009,33(6):36-40.LI Zhenkun,CHEN Xingying,LIU Haoming,et al.Online assessment of distribution network loading capability[J].Automation of Electric Power System,2009,33(6):36-40.
[11]丁明,郭学凤.含多种分布式电源的弱环配电网三相潮流计算[J].中国电机工程学报,2009,29(13):35-40.DING Ming,GUO Xuefeng.Three-phase power flow for the weakly meshed distribution network with the distributed generation[J].Proceeding of the CSEE,2009,29(13):35-40.
[12]莫超,吴杰康,简俊威,等.考虑源-荷随机协调特性的配电网概率潮流多目标优化方法[J].广东电力,2018,31(1):74-81.MO Chao,WU Jiekang,JIAN Junwei,et al.Multi-objective optimization method for probabilistic power flow of power distribution network considering stochastic coordination of power source and load[J].Guangdong Electric Power,2018,31(1):74-81.
[13]MIU K N,CHIANG H D.Electric distribution system load capability:problems formulation,solution algorithm,and numerical results[J].IEEE Transactions on Power Delivery,2000,15(1):436-442.
[14]COLEMAN N S,MIU K N.Distribution load capability with nodal power factor constraints[J].IEEE Transactions on Power Systems,2017,32(4):3120-3126.
[15]PILLAY P,HOFRMANN P,MANYAGE M.Derating of induction motors operating with a combination of unbalanced voltage and over or under voltages[J].IEEE Transaction on Energy Conversion,2002,17(4):485-491.
[16]朱星阳,张建华,刘文霞,等.考虑负荷电压静特性的含分布式电源的配电网潮流计算[J].电网技术,2012,36(2):218-223.ZHU Xingyang,ZHANG Jianhua,LIU Wenxia,et al.Power flow calculation of distribution system with distributed generation considering static load characteristics[J].Power System Technology,2012,36(2):218-223.
[17]SUN J,XU W B,FENG B.Adaptive parameter control for quantum-behaved particle swarm optimization on individual level[C]//Proceedings of 2005 IEEE International Conference on Systems,Man and Cybernetics.Waikoloa,HI,USA:IEEE International Conference on Systems,2005:3049-3054.
[18]王智冬,刘连光,刘自发,等.基于量子粒子群算法的风火打捆容量及直流落地点优化配置[J].中国电机工程学报,2014,34(13):2055-2062.WANG Zhidong,LIU Lianguang,LIU Zifa,et al.Optimal Configuration of wind&coal power capacity and DC placement based on quantum PSO algorithm[J].Proceedings of the CSEE,2014,34(13):2055-2062.
[19]王晶,陈俊宇,金华峰.含分布式电源的配电网动态孤岛划分博弈模型[J].电力系统保护与控制,2016,44(14):14-24.WANG Jing,CHEN Junyu,JIN Huafeng.A game model of dynamic island partition for distribution network with DGs[J].Power System Protection and Control,2016,44(14):14-24.
[20]赵晋泉,范晓龙,高宗和,等.含分布式电源的三相不平衡配电网连续潮流计算[J].电力系统自动化,2015,39(9):48-53.ZHAO Jinquan,FAN Xiaolong,GAO Zonghe,et al.Continuation power flow calculation for unbalanced three-phase distribution networks with distributed generators[J].Automation of Electric Power System,2015,39(9):48-53.