基于响应匹配的电力电子换流器恒导纳建模
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摘要
恒导纳建模是电力电子换流器实时仿真常用的建模方法。为了解决传统恒导纳模型的虚拟功率损耗问题,提出一种基于响应匹配的换流器恒导纳建模方法。该方法采用含参数化历史电流源的恒导纳开关模型,并将其视为线性离散时间系统进行分析。通过使得该离散时间系统的稳态响应特性和暂态响应特性能与理想开关相匹配来确定历史电流源的待定参数。该方法被分别应用于两电平桥式换流器、三电平换流器和基本直流斩波电路的建模。仿真结果显示,在不同换流器拓扑和不同开关频率下,基于响应匹配的恒导纳模型均较好地解决了虚拟功率损耗问题。
Fixed-admittance modeling is widely used in the real-time simulation of power electronic converters. To solve its virtual power loss problem, this paper proposed a novel fixed-admittance modeling method using the response-matching technique. The fixed-admittance model with the parameterized history current source was regarded as a linear discrete system. The coefficients of history current expressions were determined by matching the steady/transient responses of the discrete system with those of the ideal switch.The proposed method was applied to the two-level bridge converter, three-level converter and Buck/Boost circuit. The simulation results show that, the proposed method well solves the virtual power loss problem in the real-time simulations of different converter topologies and switching frequencies.
Fixed-admittance modeling is widely used in the real-time simulation of power electronic converters. To solve its virtual power loss problem, this paper proposed a novel fixed-admittance modeling method using the response-matching technique. The fixed-admittance model with the parameterized history current source was regarded as a linear discrete system. The coefficients of history current expressions were determined by matching the steady/transient responses of the discrete system with those of the ideal switch.The proposed method was applied to the two-level bridge converter, three-level converter and Buck/Boost circuit. The simulation results show that, the proposed method well solves the virtual power loss problem in the real-time simulations of different converter topologies and switching frequencies.
引文
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[14]Li Peng,Wang Zhiying,Wang Chengshan,et al.Synchronisation mechanism and interfaces design of multi-FPGA-based real-time simulator for microgrids[J].IET Generation,Transmission&Distribution,2017,11(12):3088-3096.
[15]王成山,丁承第,李鹏,等.基于FPGA的光伏发电系统暂态实时仿真[J].电力系统自动化,2015,39(12):13-20.Wang Chengshan,Ding Chengdi,Li Peng,et al.FPGA-based real-time transient simulation of photovoltaic generation system[J].Automation of Electric Power Systems,2015,39(12):13-20(in Chinese).
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[18]Song Yankan,Chen Laijun,Chen Ying,et al.A general parameter configuration algorithm for associate discrete circuit switch model[C]//Proceedings of 2014International Conference on Power System Technology.Chengdu:IEEE,2014:956-961.
[19]Qi Li,Woodruff S,Steurer M.Study of power loss of small time-step VSC model in RTDS[C]//Proceedings of2007 IEEE Power Engineering Society General Meeting.Tampa,FL,USA:IEEE,2007:1-7.
[20]Rezayati M,Zolghadri M R.Optimal down sampling for ADC-based real-time simulation of basic power electronic converters[C]//Proceedings of the 8th Power Electronics,Drive Systems&Technologies Conference.Mashhad,Iran:IEEE,2017.
[21]徐晋,汪可友,李国杰,等.基于参数化历史电流源的广义小步长开关模型[J].中国电机工程学报,2018,38(6):1647-1654.Xu Jin,Wang Keyou,Li Guojie,et al.A general small time-step model based on the parameterized history current sources[J].Proceedings of the CSEE,2018,38(6):1647-1654(in Chinese).
[22]内维尔·沃森,乔斯·阿里拉加.电力系统电磁暂态仿真[M].北京:中国电力出版社,2003:84-102.
[23]Dufour C.Method and system for reducing power losses and state-overshoots in simulators for switched power electronic circuit:US Patent 9665672[P].2017-05-30.
[2]王成山,李鹏,王立伟.电力系统电磁暂态仿真算法研究进展[J].电力系统自动化,2009,33(7):97-103.Wang Chengshan,Li Peng,Wang Liwei.Progresses on algorithm of electromagnetic transient simulation for electric power system[J].Automation of Electric Power Systems,2009,33(7):97-103(in Chinese).
[3]Dagbagi M,Hemdani A,Idkhajine L,et al.ADC-based embedded real-time simulator of a power converter implemented in a low-cost FPGA:application to a fault-tolerant control of a grid-connected voltage-source rectifier[J].IEEE Transactions on Industrial Electronics,2016,63(2):1179-1190.
[4]王成山,高菲,李鹏,等.电力电子装置典型模型的适应性分析[J].电力系统自动化,2012,36(8):63-68.Wang Chengshan,Gao Fei,Li Peng,et al.Adaptability analysis of typical power electronic device models[J].Automation of Electric Power Systems,2012,36(8):63-68(in Chinese).
[5]Strunz K.Flexible numerical integration for efficient representation of switching in real time electromagnetic transients Simulation[J].IEEE Transactions on Power Delivery,2004,19(3):1276-1283.
[6]刘文焯,汤涌,侯俊贤,等.考虑任意重事件发生的多步变步长电磁暂态仿真算法[J].中国电机工程学报,2009,29(34):9-15.Liu Wenzhuo,Tang Yong,Hou Junxian,et al.Simulation algorithm for multi variable-step electromagnetic transient considering multiple events[J].Proceedings of the CSEE,2009,29(34):9-15(in Chinese).
[7]黄宇鹏,汪可友,李国杰.基于权重数值积分的电力电子开关仿真插值算法[J].电网技术,2015,39(1):150-155.Huang Yupeng,Wang Keyou,Li Guojie.Aweight-numerical integration based interpolation algorithm for simulation of power electronic circuit[J].Power System Technology,2015,39(1):150-155(in Chinese).
[8]Hui S Y R,Morrall S.Generalised associated discrete circuit model for switching devices[J].IEE ProceedingsScience,Measurement and Technology,1994,141(1):57-64.
[9]Pejovi?P,Maksimovi?D.A method for fast time-domain simulation of networks with switches[J].IEEETransactions on Power Electronics,1994,9(4):449-456.
[10]RTDS Technologies.VSC Small time-step modeling user’s manual[M].Manitoba,Canada:RTDS Technologies,2005.
[11]Qi L,Langston J,Steurer M,et al.Implementation and validation of a five-level STATCOM model in the RTDSsmall time-step environment[C]//Proceedings of 2009IEEE Power&Energy Society General Meeting.Calgary,AB,Canada:IEEE,2009:1-6.
[12]穆清,周孝信,王祥旭,等.面向实时仿真的小步长开关误差分析和参数设置[J].中国电机工程学报,2013,33(31):120-129.Mu Qing,Zhou Xiaoxin,Wang Xiangxu,et al.Error analysis and parameters of switches in small step simulation for real-time simulation[J].Proceedings of the CSEE,2013,33(31):120-129(in Chinese).
[13]Mu Qing,Liang Jun,Zhou Xiaoxin,et al.Improved ADCmodel of voltage-source converters in DC grids[J].IEEETransactions on Power Electronics,2014,29(11):5738-5748.
[14]Li Peng,Wang Zhiying,Wang Chengshan,et al.Synchronisation mechanism and interfaces design of multi-FPGA-based real-time simulator for microgrids[J].IET Generation,Transmission&Distribution,2017,11(12):3088-3096.
[15]王成山,丁承第,李鹏,等.基于FPGA的光伏发电系统暂态实时仿真[J].电力系统自动化,2015,39(12):13-20.Wang Chengshan,Ding Chengdi,Li Peng,et al.FPGA-based real-time transient simulation of photovoltaic generation system[J].Automation of Electric Power Systems,2015,39(12):13-20(in Chinese).
[16]Matar M,Iravani R.FPGA implementation of the power electronic converter model for real-time simulation of electromagnetic transients[J].IEEE Transactions on Power Delivery,2010,25(2):852-860.
[17]Maguire T,Giesbrecht J.Small time-step((27)2?s)VSCmodel for the real time digital simulator[C]//IPSTInternational Conference on Power Systems Transients.Montreal,QC,Canada:IPST,2005.
[18]Song Yankan,Chen Laijun,Chen Ying,et al.A general parameter configuration algorithm for associate discrete circuit switch model[C]//Proceedings of 2014International Conference on Power System Technology.Chengdu:IEEE,2014:956-961.
[19]Qi Li,Woodruff S,Steurer M.Study of power loss of small time-step VSC model in RTDS[C]//Proceedings of2007 IEEE Power Engineering Society General Meeting.Tampa,FL,USA:IEEE,2007:1-7.
[20]Rezayati M,Zolghadri M R.Optimal down sampling for ADC-based real-time simulation of basic power electronic converters[C]//Proceedings of the 8th Power Electronics,Drive Systems&Technologies Conference.Mashhad,Iran:IEEE,2017.
[21]徐晋,汪可友,李国杰,等.基于参数化历史电流源的广义小步长开关模型[J].中国电机工程学报,2018,38(6):1647-1654.Xu Jin,Wang Keyou,Li Guojie,et al.A general small time-step model based on the parameterized history current sources[J].Proceedings of the CSEE,2018,38(6):1647-1654(in Chinese).
[22]内维尔·沃森,乔斯·阿里拉加.电力系统电磁暂态仿真[M].北京:中国电力出版社,2003:84-102.
[23]Dufour C.Method and system for reducing power losses and state-overshoots in simulators for switched power electronic circuit:US Patent 9665672[P].2017-05-30.