多端直流架构的交直流混合配电网三相不平衡潮流计算
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摘要
在配电网向交直流混合供电的方向发展的新形势下,提出一种能够计及交流三相不平衡的交直流配电网潮流计算方法。首先建立了电压源型换流器的三相稳态潮流模型,推导了换流器的三相潮流以及直流配电网潮流计算方程,并对不平衡系统进行了补偿。考虑了不同的控制方式及适用于配电网的多端直流控制策略,在此基础上,提出了适合配电网的三相不平衡交直流交替迭代潮流计算方法,该方法采用了模块化思想,不需要全局迭代,可以从交、直流侧任意方向开始潮流计算,自动修正越限变量并调用控制策略,实现了交直流潮流计算的解耦。最后,对修改的IEEE 37节点配电系统进行仿真计算,仿真结果证明了算法的有效性、快速性和准确性。
Under the new situation where distribution network is developing into AC/DC hybrid distribution network,a threephase unbalanced AC/DC power flow calculation algorithm considering interconnection from AC unbalanced networks with DC systems is proposed.Firstly,the three-phase steady-state power flow model of voltage source converter(VSC)is established.The power flow calculation equation of a three-phase VSC and DC distribution network is deduced in detail and the unbalanced system is compensated.Furthermore,considering different control methods and control strategies for multi-terminal DC system with voltage source converters(VSC-MTDC)in distribution network,a three-phase unbalanced AC/DC sequential iteration power flow calculation algorithm for distribution network is proposed.Based on the modularization idea,global iteration is not required,and the algorithm calculation could start from any direction of AC or DC side.As a result,the AC/DC power flow calculation is decoupled,and the over-limit variables can be corrected automatically.Finally,the simulation results on the modified IEEE 37-bus test feeder system demonstrate the effectiveness,rapidity and accuracy of the proposed algorithm.
Under the new situation where distribution network is developing into AC/DC hybrid distribution network,a threephase unbalanced AC/DC power flow calculation algorithm considering interconnection from AC unbalanced networks with DC systems is proposed.Firstly,the three-phase steady-state power flow model of voltage source converter(VSC)is established.The power flow calculation equation of a three-phase VSC and DC distribution network is deduced in detail and the unbalanced system is compensated.Furthermore,considering different control methods and control strategies for multi-terminal DC system with voltage source converters(VSC-MTDC)in distribution network,a three-phase unbalanced AC/DC sequential iteration power flow calculation algorithm for distribution network is proposed.Based on the modularization idea,global iteration is not required,and the algorithm calculation could start from any direction of AC or DC side.As a result,the AC/DC power flow calculation is decoupled,and the over-limit variables can be corrected automatically.Finally,the simulation results on the modified IEEE 37-bus test feeder system demonstrate the effectiveness,rapidity and accuracy of the proposed algorithm.
引文
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[14]孙充勃,李鹏,王成山,等.含多直流环节的混合结构有源配电网潮流计算方法[J].电力系统自动化,2015,39(21):59-65.DOI:10.7500/AEPS20141130007.SUN Chongbo,LI Peng,WANG Chengshan,et al.A novel power flow algorithm for active distribution system with multiple DC components[J].Automation of Electric Power Systems,2015,39(21):59-65.DOI:10.7500/AEPS20141130007.
[15]杨艳红,裴玮,邓卫,等.计及换流站运行方式的交直流混合配电系统潮流计算方法[J].高电压技术,2016,42(7):2149-2157.YANG Yanhong,PEI Wei,DENG Wei,et al.Method for calculating power flow of hybrid AC/DC power distribution system with converter station operation mode[J].High Voltage Engineering,2016,42(7):2149-2157.
[16]彭克,张新慧,陈羽.适用于多端柔性互联的交直流配电网潮流计算方法[J].电力自动化设备,2017,37(1):22-27.PENG Ke,ZHANG Xinhui,CHEN Yu.Power flow calculation algorithm for AC-DC hybrid distribution network with multi-terminal flexible interconnection[J].Electric Power Automation Equipment,2017,37(1):22-27.
[17]张心怡,韩学山,孙东磊,等.节点电压为状态变量的交直流电网潮流算法[J].电网技术,2017,41(5):1484-1491.ZHANG Xinyi,HAN Xueshan,SUN Donglei,et al.A hybrid AC/DC grid power flow algorithm with node voltages as state variables[J].Power System Technology,2017,41(5):1484-1490.
[18]王家融,艾欣,王坤宇,等.基于增广雅可比矩阵的交直流解耦潮流新算法[J].电工技术学报,2018,33(6):1382-1389.WANG Jiarong,AI Xin,WANG Kunyu,et al.A novel AC-DC decoupled power flow calculation method based on the augmented Jacobian matrix[J].Transactions of China Electrotechnical Society,2018,33(6):1382-1389.
[19]OPATHELLA C,VENKATESH B.Three-phase unbalanced power flow using aπ-model of controllable AC-DC converters[J].IEEE Transactions on Power Systems,2016,31(6):4286-4296.
[20]王一,刘建政.不对称电压下不平衡负载的平衡化补偿方法[J].电力自动化设备,2016,36(10):85-93.WANG Yi,LIU Jianzheng.Balanced compensation for unbalanced load in condition of asymmetrical voltage[J].Electric Power Automation Equipment,2016,36(10):85-93.
[21]YANG L,LI Y,LI Z,et al.A simplified analytical calculation model of average power loss for modular multilevel converter[J].IEEE Transactions on Industrial Electronics,2017,66(3):2313-2322.
[22]COLE S,BEERTEN J,BELMANS R.Generalized dynamic VSC MTDC model for power system stability studies[J].IEEE Transactions on Power Systems,2010,25(3):1655-1662.
[23]DAELEMANS G.VSC HVDC in meshed networks[D].Leuven:Katholieke Universiteit Leuven,2008.
[24]BEERTEN J,VAN HERTEM D,BELMANS R.VSC MTDCsystems with a distributed DC voltage control-apower flow approach[C]//IEEE Trondheim PowerTech Conference,June19-23,2011,Trondheim,Norway:1-6.
[25]吴红斌,杨超,陈煜,等.基于电压源型换流器的多端直流配电网潮流计算[J].电力系统自动化,2018,42(11):79-85.DOI:10.7500/AEPS20170815011.WU Hongbin,YANG Chao,CHEN Yu,et al.VSC based power flow calculation of multi-terminal DC distribution network[J].Automation of Electric Power Systems,2018,42(11):79-85.DOI:10.7500/AEPS20170815011.
[26]季一润,袁志昌,赵剑锋,等.一种适用于柔性直流配电网的电压控制策略[J].中国电机工程学报,2016,36(2):335-341.JI Yirun,YUAN Zhichang,ZHAO Jianfeng,et al.A suitable voltage control strategy for DC distribution power network[J].Proceedings of the CSEE,2016,36(2):335-341.
[27]盛万兴,李蕊,李跃,等.直流配电电压等级序列与典型网络架构初探[J].中国电机工程学报,2016,36(13):3391-3403.SHENG Wanxing,LI Rui,LI Yue,et al.A preliminary study on voltage level sequence and typical network architecture of direct current distribution network[J].Proceedings of the CSEE,2016,36(13):3391-3403.
[28]王云鹏,韩学山,孙东磊,等.基于交直流关联最小雅可比矩阵结构的潮流算法[J].电力系统自动化,2015,39(7):1-6.DOI:10.7500/AEPS20140514001.WANG Yunpeng,HAN Xueshan,SUN Donglei,et al.Apower flow algorithm based on minimum Jacobian matrix for AC/DC hybrid systems[J].Automation of Electric Power Systems,2015,39(7):1-6.DOI:10.7500/AEPS20140514001.
[29]JU Y,WU W,ZHANG B,et al.An extension of FBS threephase power flow for handling PV nodes in active distribution networks[J].IEEE Transactions on Smart Grid,2014,5(4):1547-1555.
[30]IEEE 37 Node Test Feeder.IEEE PES distribution system analysis subcommittee[EB/OL].[2018-07-27].http://www.ewh.ieee.org/soc/pes/dsacom/testfeeders/feeder37.zip.
[31]BARADAR M,GHANDHARI M.A multi-option unified power flow approach for hybrid AC/DC grids incorporating multi-terminal VSC-HVDC[J].IEEE Transactions on Power Systems,2013,28(3):2376-2383.
[2]GAO M,WANG K,HE L.Probabilistic model checking and scheduling implementation of an energy router system in energy internet for green cities[J].IEEE Transactions on Industrial Informatics,2018,14(4):1501-1510.
[3]宋国兵,陶然,李斌,等.含大规模电力电子装备的电力系统故障分析与保护综述[J].电力系统自动化,2017,41(12):2-12.DOI:10.7500/AEPS20170502006.SONG Guobing,TAO Ran,LI Bin,et al.Survey of fault analysis and protection for power system with large scale power electronic equipments[J].Automation of Electric Power Systems,2017,41(12):2-12.DOI:10.7500/AEPS20170502006.
[4]吉兴全,孙灏,陈尔奎,等.基于电流差动的直流配电网保护方案[J].电测与仪表,2018,55(5):51-56.JI Xingquan,SUN Hao,CHEN Erkui,et al.Protection scheme of DC distribution network based on differential current[J].Electrical Measurement and Instrumentation,2018,55(5):51-56.
[5]窦晓波,全相军,陈峰,等.应用于超级电容双向DC/DC变换器的鲁棒控制[J].中国电机工程学报,2018,38(1):223-231.DOU Xiaobo,QUAN Xiangjun,CHEN Feng,et al.Robust control of bidirectional DC/DC convert for super capacitor application[J].Proceedings of the CSEE,2018,38(1):223-231.
[6]RODRIGUEZ P,ROUZBEHI K.Multi-terminal DC grids:challenges and prospects[J].Journal of Modern Power Systems and Clean Energy,2017,5(4):515-523.
[7]王永平,赵文强,杨建明,等.混合直流输电技术及发展分析[J].电力系统自动化,2017,41(7):156-167.DOI:10.7500/AEPS20161117005.WANG Yongping,ZHAO Wenqiang,YANG Jianming,et al.Hybrid high-voltage direct current transmission technology and its development analysis[J].Automation of Electric Power Systems,2017,41(7):156-167.DOI:10.7500/AEPS20161117005.
[8]陈谦,唐国庆,胡铭.采用dq0坐标的VSC-HVDC稳态模型与控制器设计[J].电力系统自动化,2004,28(16):61-66.CHEN Qian,TANG Guoqing,HU Ming.Steady-state model and controller design of a VSC-HVDC converter based on dq0-axis[J].Automation of Electric Power Systems,2004,28(16):61-66.
[9]LEI J,AN T,DU Z,et al.A general unified AC/DC power flow algorithm with MTDC[J].IEEE Transactions on Power Systems,2017,32(4):2837-2846.
[10]鲍威,凌卫家,张静,等.含VSC-MTDC的交直流混合电网潮流计算模型及稀疏性处理技术[J].电力自动化设备,2016,36(5):43-48.BAO Wei,LING Weijia,ZHANG Jing,et al.Power flow calculation model and parse matrix disposal techniques for AC/DC hybrid power system with VSC-MTDC[J].Electric Power Automation Equipment,2016,36(5):43-48.
[11]吴志远,殷正刚,唐西胜.混合电网的交直流解耦潮流算法[J].中国电机工程学报,2016,36(4):937-944.WU Zhiyuan,YIN Zhenggang,TANG Xisheng.An AC/DCdecoupled hybrid power flow algorithm for hybrid power system[J].Proceedings of the CSEE,2016,36(4):937-944.
[12]柴润泽,张保会,薄志谦.含电压源型换流器直流电网的交直流网络潮流交替迭代方法[J].电力系统自动化,2015,39(7):7-13.DOI:10.7500/AEPS20140514005.CHAI Runze,ZHANG Baohui,BO Zhiqian.Alternating iterative power flow algorithm for hybrid AC/DC networks containing DC grid based on voltage source converter[J].Automation of Electric Power Systems,2015,39(7):7-13.DOI:10.7500/AEPS20140514005.
[13]CHAI R,ZHANG B,DOU J,et al.Unified power flow algorithm based on the NR method for hybrid AC/DC Grids incorporating VSCs[J].IEEE Transactions on Power Systems,2016,31(6):4310-4318.
[14]孙充勃,李鹏,王成山,等.含多直流环节的混合结构有源配电网潮流计算方法[J].电力系统自动化,2015,39(21):59-65.DOI:10.7500/AEPS20141130007.SUN Chongbo,LI Peng,WANG Chengshan,et al.A novel power flow algorithm for active distribution system with multiple DC components[J].Automation of Electric Power Systems,2015,39(21):59-65.DOI:10.7500/AEPS20141130007.
[15]杨艳红,裴玮,邓卫,等.计及换流站运行方式的交直流混合配电系统潮流计算方法[J].高电压技术,2016,42(7):2149-2157.YANG Yanhong,PEI Wei,DENG Wei,et al.Method for calculating power flow of hybrid AC/DC power distribution system with converter station operation mode[J].High Voltage Engineering,2016,42(7):2149-2157.
[16]彭克,张新慧,陈羽.适用于多端柔性互联的交直流配电网潮流计算方法[J].电力自动化设备,2017,37(1):22-27.PENG Ke,ZHANG Xinhui,CHEN Yu.Power flow calculation algorithm for AC-DC hybrid distribution network with multi-terminal flexible interconnection[J].Electric Power Automation Equipment,2017,37(1):22-27.
[17]张心怡,韩学山,孙东磊,等.节点电压为状态变量的交直流电网潮流算法[J].电网技术,2017,41(5):1484-1491.ZHANG Xinyi,HAN Xueshan,SUN Donglei,et al.A hybrid AC/DC grid power flow algorithm with node voltages as state variables[J].Power System Technology,2017,41(5):1484-1490.
[18]王家融,艾欣,王坤宇,等.基于增广雅可比矩阵的交直流解耦潮流新算法[J].电工技术学报,2018,33(6):1382-1389.WANG Jiarong,AI Xin,WANG Kunyu,et al.A novel AC-DC decoupled power flow calculation method based on the augmented Jacobian matrix[J].Transactions of China Electrotechnical Society,2018,33(6):1382-1389.
[19]OPATHELLA C,VENKATESH B.Three-phase unbalanced power flow using aπ-model of controllable AC-DC converters[J].IEEE Transactions on Power Systems,2016,31(6):4286-4296.
[20]王一,刘建政.不对称电压下不平衡负载的平衡化补偿方法[J].电力自动化设备,2016,36(10):85-93.WANG Yi,LIU Jianzheng.Balanced compensation for unbalanced load in condition of asymmetrical voltage[J].Electric Power Automation Equipment,2016,36(10):85-93.
[21]YANG L,LI Y,LI Z,et al.A simplified analytical calculation model of average power loss for modular multilevel converter[J].IEEE Transactions on Industrial Electronics,2017,66(3):2313-2322.
[22]COLE S,BEERTEN J,BELMANS R.Generalized dynamic VSC MTDC model for power system stability studies[J].IEEE Transactions on Power Systems,2010,25(3):1655-1662.
[23]DAELEMANS G.VSC HVDC in meshed networks[D].Leuven:Katholieke Universiteit Leuven,2008.
[24]BEERTEN J,VAN HERTEM D,BELMANS R.VSC MTDCsystems with a distributed DC voltage control-apower flow approach[C]//IEEE Trondheim PowerTech Conference,June19-23,2011,Trondheim,Norway:1-6.
[25]吴红斌,杨超,陈煜,等.基于电压源型换流器的多端直流配电网潮流计算[J].电力系统自动化,2018,42(11):79-85.DOI:10.7500/AEPS20170815011.WU Hongbin,YANG Chao,CHEN Yu,et al.VSC based power flow calculation of multi-terminal DC distribution network[J].Automation of Electric Power Systems,2018,42(11):79-85.DOI:10.7500/AEPS20170815011.
[26]季一润,袁志昌,赵剑锋,等.一种适用于柔性直流配电网的电压控制策略[J].中国电机工程学报,2016,36(2):335-341.JI Yirun,YUAN Zhichang,ZHAO Jianfeng,et al.A suitable voltage control strategy for DC distribution power network[J].Proceedings of the CSEE,2016,36(2):335-341.
[27]盛万兴,李蕊,李跃,等.直流配电电压等级序列与典型网络架构初探[J].中国电机工程学报,2016,36(13):3391-3403.SHENG Wanxing,LI Rui,LI Yue,et al.A preliminary study on voltage level sequence and typical network architecture of direct current distribution network[J].Proceedings of the CSEE,2016,36(13):3391-3403.
[28]王云鹏,韩学山,孙东磊,等.基于交直流关联最小雅可比矩阵结构的潮流算法[J].电力系统自动化,2015,39(7):1-6.DOI:10.7500/AEPS20140514001.WANG Yunpeng,HAN Xueshan,SUN Donglei,et al.Apower flow algorithm based on minimum Jacobian matrix for AC/DC hybrid systems[J].Automation of Electric Power Systems,2015,39(7):1-6.DOI:10.7500/AEPS20140514001.
[29]JU Y,WU W,ZHANG B,et al.An extension of FBS threephase power flow for handling PV nodes in active distribution networks[J].IEEE Transactions on Smart Grid,2014,5(4):1547-1555.
[30]IEEE 37 Node Test Feeder.IEEE PES distribution system analysis subcommittee[EB/OL].[2018-07-27].http://www.ewh.ieee.org/soc/pes/dsacom/testfeeders/feeder37.zip.
[31]BARADAR M,GHANDHARI M.A multi-option unified power flow approach for hybrid AC/DC grids incorporating multi-terminal VSC-HVDC[J].IEEE Transactions on Power Systems,2013,28(3):2376-2383.