基于数学分析的抑制模块化多电平换流器电压波动的子模块电容参数设计
|
摘要
远海风电场经MMC-HVDC联网具有一定的技术优势,子模块是模块化多电平换流器(MMC)的重要组成部分,其参数关系到换流器的安全稳定运行。文中在MMC的稳态数学模型基础上,推导了子模块电容能量波动的关系式,以数学分析的方法证明了换流器工作在静止无功补偿方式时模块电压波动最大,设计了全工况下满足电压波动率要求的子模块电容取值,并指出了考虑风电功率波动的子模块电容取值。仿真以南汇柔性直流输电示范工程为背景,验证了发生直流电压极值时换流器的运行方式,以及所设计的电容参数对换流器工况的适应性。
The offshore wind farms integrating to grid via MMC-HVDC have technical advantages. The sub-module is an important part of the modular multilevel converter( MMC),and its parameters are related to the safe and stable operation of the converter. Based on the steady state mathematical model of MMC,the relation expression of the sub-module capacitance energy fluctuation is derived. By the method of mathematical calculation,this paper proves that the modular voltage fluctuation is maximized when the converter is working in static var compensation mode. The capacitance of the sub-module which meets the requirement of voltage fluctuation rate under all working conditions is designed,and the capacitance value of sub-module considering wind power fluctuation is pointed out. The simulation is based on the HVDC flexible demonstration project in Nanhui. The operation mode of converter is verified when the DC voltage extreme value occurs,as well as the adaptability of the designed capacitance parameters to the converter operation conditions.
The offshore wind farms integrating to grid via MMC-HVDC have technical advantages. The sub-module is an important part of the modular multilevel converter( MMC),and its parameters are related to the safe and stable operation of the converter. Based on the steady state mathematical model of MMC,the relation expression of the sub-module capacitance energy fluctuation is derived. By the method of mathematical calculation,this paper proves that the modular voltage fluctuation is maximized when the converter is working in static var compensation mode. The capacitance of the sub-module which meets the requirement of voltage fluctuation rate under all working conditions is designed,and the capacitance value of sub-module considering wind power fluctuation is pointed out. The simulation is based on the HVDC flexible demonstration project in Nanhui. The operation mode of converter is verified when the DC voltage extreme value occurs,as well as the adaptability of the designed capacitance parameters to the converter operation conditions.
引文
[1]王坤,刘开培,张志轩,等.基于快速排序算法的模块化多电平换流器电容电压均衡策略[J].电测与仪表,2018,55(5):1-7.Wang Kun,LiuKaipei,Zhang Zhixuan,et al. A capacitor voltage balancing strategy based on quicksort algorithm for modular multilevel converter[J]. Electrical Measurement&Instrumentation,2018,55(5):1-7.
[2]姚骏,尹潇,赵磊,等.适用于模块化多电平变换器的改进调制策略研究[J].电测与仪表,2017,54(15):1-6.Yao Jun,Yin Xiao,Zhao Lei,et al. Research on improved modulation strategy for modular multilevelconverter[J]. Electrical Measurement&Instrumentation,2017,54(15):1-6.
[3]李国庆,谭龙,王振浩,等.单相接地故障对换流器内部环流影响的研究[J].电力系统保护与控制,2016,44(3):1-7.Li Guoqing,Tan Long,Wang Zhenhao,et al. Research of the influence on the circulation for AC system singlephase ground fault[J]. Power System Protection and Control,2016,44(3):1-7.
[4]韦延方,卫志农,孙国强,等.适用于电压源换流器型高压直流输电的模块化多电平换流器最新研究进展[J].高电压技,2012,38(5):1243-1252.Wei Yangfang,Wei Zhinong,Sun Guoqing,et al. New prospects of modular multilevel converter applied to voltage[J]. High Voltage Engineering,2012,38(5):1243-1252.
[5]薛花,邓兴成,王艳青,等.基于优化控制集的模块化多电平变换器模型预测控制方法[J].电力系统保护与控制,2018,46(19):9-18.Xue Hua,Deng Xingcheng,Wang Yanqing,et al. Optimized control set based model predictive control strategy for modular multilevel converters[J]. Power System Protectionand Control,2018,46(19):9-18.
[6]高淑萍,胡振宇,张保会,等.一种适用于MMC-HVDC直流输电线路的保护新原理[J].电力系统保护与控制,2018,46(13):13-20.Gao Shuping,Hu Zhenyu,Zhang Baohui,et al. A new relay protection principle of MMC-HVDC transmission lines[J]. Power System Protectionand Control,2018,46(13):13-20.
[7]丁冠军,丁明,汤广福,等.新型多电平VSC子模块电容参数与均压策略[J].中国电机工程学报,2009,29(30):1-6.Ding Guanjun,Ding Ming,Tang Guangfu,et al. Submodule capacitance parameter and voltage balancing scheme of a new multilevel VSC modular[J]. Proceedings of the CSEE,2009,29(30):1-6.
[8]郭高朋,胡学浩,温家良,等.模块化多电平变流器子模块电容的设计方法[J].中国电机工程学报,2014,34(30):5329-5334.Guo Gaopeng,Hu Xuehao,Wen Jialiang,et al. Sub-module Capacitance Design of Modular Multilevel Converters[J]. Proceedings of the CSEE,2014,34(30):5329-5334.
[9]王姗姗,周孝信,汤广福,等.模块化多电平HVDC输电系统子模块电容值的选取和计算[J].电网技术,2011,35(1):26-32.Wang Shanshan,Zhou Xiaoxin,Tang Guangfu,et al. Selection and calculation for sub-module capacitance in modular multi-level converter HVDC power transmission system[J]. Power System Technology,2011,35(1):26-32.
[10]王姗姗,周孝信,汤广福,等.模块化多电平换流器HVDC直流双极短路子模块过电流分析[J].中国电机工程学报,2011,31(1):1-7.Wang Shanshan,Zhou Xiaoxin,Tang Guangfu,et al. Analysis of submodule overcurrent caused by DC pole-to-pole fault in modular multilevel converter HVDC system[J]. Proceedings of the CSEE,2011,31(1):1-7.
[11]徐政,肖晃庆,张哲任.模块化多电平换流器主回路参数设计[J].高电压技术,2015,41(8):2514-2527.Xu Zheng,Xiao Huangqing,Zhang Zheren. Design of Main Circuit Parameters of Modular Multilevel Converters[J]. High Voltage Engineering,2015,41(8):2514-2527.
[12]Far A J,Hajian M,Jovcic D,et al. Optimal design of high power MMCbased LCL DC/DC converter[C]. Power and Energy Society General Meeting,IEEE,2016:1-5.
[13]汤广福.基于电压源换流器的高压直流输电技术[M].北京:中国电力出版社,2014.
[14]徐政.柔性直流输电系统[M].机械工业出版社,2013.
[15]Fujita H,Tominaga S,Akagi H. Analysis and design of a DC voltagecontrolled static var compensator using quad-series voltage-source inverters[J]. IEEE Transactions on Industry Application,1996,32(4):970-977.
[16]Hagiwara M,Akagi H. Control and Experiment of Pulsewidth-Modulated Modular Multilevel Converters[J]. IEEE Transactions on Power Electronics,2009,24(7):1737-1746.
[17]Ilves K,Antonopoulos A,Norrga S,et al. Steady-State Analysis of Interaction Between Harmonic Components of Arm and Line Quantities of Modular Multilevel Converters[J]. IEEE Transactions on Power Electronics,2011,27(1):57-68.
[18]Xiao H Q,Xu Z,Xue Y L,et al. Theoretical analysis of the harmonic characteristics of modular multilevel converters[J]. Science China:Technological Sciences,2013,56(11):2762-2770.
[19]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.
[20]李亚男,蒋维勇,余世峰,等.舟山多端柔性直流输电工程系统设计[J].高电压技术,2014,40(8):2490-2496.Li Ya'nan,Jiang Weiyong,Yu Shifeng,et al. System design of Zhoushan multi-terminal VSC-HVDC transmission project[J]. High Voltage Engineering,2014,40(8):2490-2496.
[21]乔卫东,毛颖科.上海柔性直流输电示范工程综述[J].华东电力,2011,39(7):1137-1140.Qiao Weidong, Mao Yingke. Overview of Shanghai flexible HVDC transmission demonstration project[J]. East China Electric Power,2011,39(7):1137-1140.
[2]姚骏,尹潇,赵磊,等.适用于模块化多电平变换器的改进调制策略研究[J].电测与仪表,2017,54(15):1-6.Yao Jun,Yin Xiao,Zhao Lei,et al. Research on improved modulation strategy for modular multilevelconverter[J]. Electrical Measurement&Instrumentation,2017,54(15):1-6.
[3]李国庆,谭龙,王振浩,等.单相接地故障对换流器内部环流影响的研究[J].电力系统保护与控制,2016,44(3):1-7.Li Guoqing,Tan Long,Wang Zhenhao,et al. Research of the influence on the circulation for AC system singlephase ground fault[J]. Power System Protection and Control,2016,44(3):1-7.
[4]韦延方,卫志农,孙国强,等.适用于电压源换流器型高压直流输电的模块化多电平换流器最新研究进展[J].高电压技,2012,38(5):1243-1252.Wei Yangfang,Wei Zhinong,Sun Guoqing,et al. New prospects of modular multilevel converter applied to voltage[J]. High Voltage Engineering,2012,38(5):1243-1252.
[5]薛花,邓兴成,王艳青,等.基于优化控制集的模块化多电平变换器模型预测控制方法[J].电力系统保护与控制,2018,46(19):9-18.Xue Hua,Deng Xingcheng,Wang Yanqing,et al. Optimized control set based model predictive control strategy for modular multilevel converters[J]. Power System Protectionand Control,2018,46(19):9-18.
[6]高淑萍,胡振宇,张保会,等.一种适用于MMC-HVDC直流输电线路的保护新原理[J].电力系统保护与控制,2018,46(13):13-20.Gao Shuping,Hu Zhenyu,Zhang Baohui,et al. A new relay protection principle of MMC-HVDC transmission lines[J]. Power System Protectionand Control,2018,46(13):13-20.
[7]丁冠军,丁明,汤广福,等.新型多电平VSC子模块电容参数与均压策略[J].中国电机工程学报,2009,29(30):1-6.Ding Guanjun,Ding Ming,Tang Guangfu,et al. Submodule capacitance parameter and voltage balancing scheme of a new multilevel VSC modular[J]. Proceedings of the CSEE,2009,29(30):1-6.
[8]郭高朋,胡学浩,温家良,等.模块化多电平变流器子模块电容的设计方法[J].中国电机工程学报,2014,34(30):5329-5334.Guo Gaopeng,Hu Xuehao,Wen Jialiang,et al. Sub-module Capacitance Design of Modular Multilevel Converters[J]. Proceedings of the CSEE,2014,34(30):5329-5334.
[9]王姗姗,周孝信,汤广福,等.模块化多电平HVDC输电系统子模块电容值的选取和计算[J].电网技术,2011,35(1):26-32.Wang Shanshan,Zhou Xiaoxin,Tang Guangfu,et al. Selection and calculation for sub-module capacitance in modular multi-level converter HVDC power transmission system[J]. Power System Technology,2011,35(1):26-32.
[10]王姗姗,周孝信,汤广福,等.模块化多电平换流器HVDC直流双极短路子模块过电流分析[J].中国电机工程学报,2011,31(1):1-7.Wang Shanshan,Zhou Xiaoxin,Tang Guangfu,et al. Analysis of submodule overcurrent caused by DC pole-to-pole fault in modular multilevel converter HVDC system[J]. Proceedings of the CSEE,2011,31(1):1-7.
[11]徐政,肖晃庆,张哲任.模块化多电平换流器主回路参数设计[J].高电压技术,2015,41(8):2514-2527.Xu Zheng,Xiao Huangqing,Zhang Zheren. Design of Main Circuit Parameters of Modular Multilevel Converters[J]. High Voltage Engineering,2015,41(8):2514-2527.
[12]Far A J,Hajian M,Jovcic D,et al. Optimal design of high power MMCbased LCL DC/DC converter[C]. Power and Energy Society General Meeting,IEEE,2016:1-5.
[13]汤广福.基于电压源换流器的高压直流输电技术[M].北京:中国电力出版社,2014.
[14]徐政.柔性直流输电系统[M].机械工业出版社,2013.
[15]Fujita H,Tominaga S,Akagi H. Analysis and design of a DC voltagecontrolled static var compensator using quad-series voltage-source inverters[J]. IEEE Transactions on Industry Application,1996,32(4):970-977.
[16]Hagiwara M,Akagi H. Control and Experiment of Pulsewidth-Modulated Modular Multilevel Converters[J]. IEEE Transactions on Power Electronics,2009,24(7):1737-1746.
[17]Ilves K,Antonopoulos A,Norrga S,et al. Steady-State Analysis of Interaction Between Harmonic Components of Arm and Line Quantities of Modular Multilevel Converters[J]. IEEE Transactions on Power Electronics,2011,27(1):57-68.
[18]Xiao H Q,Xu Z,Xue Y L,et al. Theoretical analysis of the harmonic characteristics of modular multilevel converters[J]. Science China:Technological Sciences,2013,56(11):2762-2770.
[19]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.
[20]李亚男,蒋维勇,余世峰,等.舟山多端柔性直流输电工程系统设计[J].高电压技术,2014,40(8):2490-2496.Li Ya'nan,Jiang Weiyong,Yu Shifeng,et al. System design of Zhoushan multi-terminal VSC-HVDC transmission project[J]. High Voltage Engineering,2014,40(8):2490-2496.
[21]乔卫东,毛颖科.上海柔性直流输电示范工程综述[J].华东电力,2011,39(7):1137-1140.Qiao Weidong, Mao Yingke. Overview of Shanghai flexible HVDC transmission demonstration project[J]. East China Electric Power,2011,39(7):1137-1140.