基于MATE的电力系统分网多速率电磁暂态并行仿真方法
|
摘要
针对电力系统电磁暂态仿真效率低的问题,提出一种基于MATE的分网多速率电磁暂态并行仿真方法,该方法支持2种及2种以上仿真步长。提出了主同步时刻、子同步时刻和非同步时刻等概念以描述不同时刻的求解过程。在非同步时刻,通过大步长和中步长子网戴维南电势插值结果计算连接线电流,完成小步长子网的计算;在子同步时刻,利用大步长子网戴维南电势插值结果计算连接线电流,并综合考虑中步长内连接线电流的累积效应,完成中步长和小步长子网的计算;在主同步时刻,通过各子网戴维南等值计算连接线电流,并综合考虑大步长内连接线电流的累积效应,得到全网络的仿真结果。仿真算例表明,该方法可以根据所划分子网的特性选择合适的仿真步长,能在基本不损失仿真精度的前提下大大提高仿真效率,对实现大规模电力系统的实时仿真具有重要理论和实践意义。
In order to solve the problem of low efficiency of electromagnetic transient simulation in power system,we put forward a method of multi-rate electromagnetic transient parallel simulation based on MATE, which supports two or more kinds of simulation steps. The concepts of main synchronization, sub-synchronization and non-synchronization are proposed to describe the solution at different moments. At the time of non-synchronization, the calculation of the sub-network with small step is carried out by using the Thevenin's equalization and Thevenin's theorem interpolation. At the time of sub-synchronization, the calculation of sub-network with medium and small step is completed by using interpolation results and acquiring connecting line current. At the time of synchronization time, sub-networks are decoupled,and computing of whole network is completed by acquiring connection line current. The simulation results show that the proposed method can select the appropriate simulation step according to the characteristics of the sub-net, and can greatly improve the simulation efficiency without losing the simulation accuracy, which has important theoretical and practical significance for real-time simulation of large-scale power system.
In order to solve the problem of low efficiency of electromagnetic transient simulation in power system,we put forward a method of multi-rate electromagnetic transient parallel simulation based on MATE, which supports two or more kinds of simulation steps. The concepts of main synchronization, sub-synchronization and non-synchronization are proposed to describe the solution at different moments. At the time of non-synchronization, the calculation of the sub-network with small step is carried out by using the Thevenin's equalization and Thevenin's theorem interpolation. At the time of sub-synchronization, the calculation of sub-network with medium and small step is completed by using interpolation results and acquiring connecting line current. At the time of synchronization time, sub-networks are decoupled,and computing of whole network is completed by acquiring connection line current. The simulation results show that the proposed method can select the appropriate simulation step according to the characteristics of the sub-net, and can greatly improve the simulation efficiency without losing the simulation accuracy, which has important theoretical and practical significance for real-time simulation of large-scale power system.
引文
[1]孙玉娇,周勤勇,申洪.未来中国输电网发展模式的分析与展望[J].电网技术,2013,37(7):1929-1935.SUN Yujiao,ZHOU Qinyong,SHEN Hong.Analysis and prospect on development patterns of China’s power transmission network in future[J].Power System Technology,2013,37(7):1929-1935.
[2]杨海涛,吉平,刘晋雄,等.特高压网架方案功能和可靠性分析[J].高电压技术,2017,43(3):1014-1022.YANG Haitao,JI Ping,LIU Jinxiong,et al.Analysis on the function and reliability of UHV grid-frame schemes[J].High Voltage Engineering,2017,43(3):1014-1022.
[3]张媛,喻新强,李峰,等.用于交流特高压工程的GFRP横担塔关键技术研究[J].高电压技术,2018,44(7):2402-2409.ZHANG Yuan,YU Xinqiang,LI Feng,et al.Key technology research of GFRP cross arm tower of AC UHV project on the transmission lines[J].High Voltage Engineering,2018,44(7):2402-2409.
[4]刘守豹,皇甫成,余世峰,等.特高压直流接地极线路过电压研究[J].高电压技术,2018,44(7):2410-2417.LIU Shoubao,HUANGFU Cheng,YU Shifeng,et al.Study on overvoltage of UHV DC grounding line[J].High Voltage Engineering,2018,44(7):2410-2417.
[5]范新凯,王艳婷,张保会.柔性直流电网的快速电磁暂态仿真[J].电力系统自动化,2017,41(4):92-97.FAN Xinkai,WANG Yanting,ZHANG Baohui.Fast electromagnetic transient simulation for flexible DC power grid[J].Automation of Electric Power Systems,2017,41(4):92-97.
[6]杨淑英,孙灯悦,陈刘伟,等.基于解析法的电网故障时双馈风力发电机电磁暂态过程研究[J].中国电机工程学报,2013,33(S1):13-20.YANG Shuying,SUN Dengyue,CHEN Liuwei.et al.Study on electromagnetic transition of DFIG-based wind turbines under grid fault based on analytical method[J].Proceedings of the CSEE,2013,33(S1):13-20.
[7]康义,陆韶琦,陈凌云,等.适用于电磁暂态仿真的大电网简化方法及在南方电网的应用[J].电力建设,2017,38(1):31-38.KANG Yi,LU Shaoqi,CHEN Lingyun,et al.A reduction method of large power systems for electromagnetic transient simulation and its application in china southern grid[J].Electric Power Construction,2017,38(1):31-38.
[8]田芳,宋瑞华,周孝信,等.全数字实时仿真装置与直流输电控制保护装置的闭环仿真试验及分析[J].电网技术,2010,34(12):57-62.TIAN Fang,SONG Ruihua,ZHOU Xiaoxin,et al.Test and analysis on closed-loop simulation of advanced digital power system simulator and HVDC control and protection devices[J].Power System Technology,2010,34(12):57-62.
[9]徐得超,赵敏,江涵,等.用于大规模电力系统机电暂态实时仿真的并行网络拓扑算法[J].高电压技术,2016,42(1):296-302.XU Dechao,ZHAO Min,JIANG Han,et al.Power system parallel network topology algorithm applied to electromechanical transient real-time simulation of large-scale power system[J].High Voltage Engineering,2016,42(1):296-302.
[10]MARTI J R,LINARES L R,CALVINO J,et al.OVNI:an object approach to real-time power system simulators[C]∥1998 Proceedings of the International Conference on Power System Technology.Beijing,China:IEEE,1998:977-981.
[11]MARTI J R,LINARES L R,HOLLMAN J A,et al.OVNI:integrated software/hardware solution for real-time simulation of large power systems[C]∥Conference Proceedings of the 14th Power Systems Computation Conference.Sevilla,Spain:[s.n.],2002:24-28.
[12]岳程燕,周孝信,李若梅.电力系统电磁暂态实时仿真中并行算法的研究[J].中国电机工程学报,2004,24(12):1-7.YUE Chengyan,ZHOU Xiaoxin,LI Ruomei.Study of parallel approaches to power system electromagnetic transient real-time simulation[J].Proceedings of the CSEE,2004,24(12):1-7.
[13]陈来军,陈颖,梅生伟.一种隐式同步策略及其在电磁暂态并行计算中的应用[J].电工电能新技术,2010,29(2):9-12.CHEN Laijun,CHEN Ying,MEI Shengwei.An implicit synchronization approach and its application in parallel computation of electro-magnetic transient[J].Advanced Technology of Electrical Engineering and Energy,2010,29(2):9-12.
[14]田芳,周孝信.交直流电力系统分割并行电磁暂态数字仿真方法[J].中国电机工程学报,2011,31(22):1-7.TIAN Fang,ZHOU Xiaoxin.Partition and parallel method for digital electromagnetic transient simulation of AC/DC power system[J].Proceedings of the CSEE,2011,31(22):1-7.
[15]ARMSTRONG M,MARTI J,LINARES L,et al.Multilevel MATEfor efficient simultaneous solution of control systems and nonlinearities in the OVNI simulator[J].IEEE Transactions on Power Systems,2006,21(3):1250-1259.
[16]GEAR C W.Multirate methods for ordinary differential equations[J].Numerical Methods with Worked Examples Matlab Edition,1974,12(3):9-13.
[17]MOREIRA F A,MARTI J R.Latency techniques for time-domain power system transients simulation[J].IEEE Transactions on Power Systems,2005,20(1):246-253.
[18]穆清,李亚楼,周孝信,等.基于传输线分网的并行多速率电磁暂态仿真算法[J].电力系统自动化,2014,38(7):47-52.MU Qing,LI Yalou,ZHOU Xiaoxin,et al.A parallel multi-rate electromagnetic transient simulation algorithm based on network division through transmission line[J].Automation of Electric Power Systems,2014,38(7):47-52.
[19]林济铿,李杨春,罗萍萍,等.波形松弛法的电力系统暂态稳定性并行仿真计算[J].电工技术学报,2006,21(12):47-53.LIN Jikeng,LI Yangchun,LUO Pingping,et al.Parallel calculation for power system transient stability based on waveform relaxation method[J].Transactions of China Electrotechnical Society,2006,21(12):47-53.
[20]陈来军,陈颖,许寅,等.基于GPU的电磁暂态仿真可行性研究[J].电力系统保护与控制,2013,41(2):107-112.CHEN Laijun,CHEN Ying,XU Yin,et al.Feasibility study of GPUbased electromagnetic transient simulation[J].Power System Protection and Control,2013,41(2):107-112.
[21]ARRILLAGA J,WATSON N.Power systems electromagnetic transients simulation[M].London,UK:The Institution of Engineering and Technology,2003.
[2]杨海涛,吉平,刘晋雄,等.特高压网架方案功能和可靠性分析[J].高电压技术,2017,43(3):1014-1022.YANG Haitao,JI Ping,LIU Jinxiong,et al.Analysis on the function and reliability of UHV grid-frame schemes[J].High Voltage Engineering,2017,43(3):1014-1022.
[3]张媛,喻新强,李峰,等.用于交流特高压工程的GFRP横担塔关键技术研究[J].高电压技术,2018,44(7):2402-2409.ZHANG Yuan,YU Xinqiang,LI Feng,et al.Key technology research of GFRP cross arm tower of AC UHV project on the transmission lines[J].High Voltage Engineering,2018,44(7):2402-2409.
[4]刘守豹,皇甫成,余世峰,等.特高压直流接地极线路过电压研究[J].高电压技术,2018,44(7):2410-2417.LIU Shoubao,HUANGFU Cheng,YU Shifeng,et al.Study on overvoltage of UHV DC grounding line[J].High Voltage Engineering,2018,44(7):2410-2417.
[5]范新凯,王艳婷,张保会.柔性直流电网的快速电磁暂态仿真[J].电力系统自动化,2017,41(4):92-97.FAN Xinkai,WANG Yanting,ZHANG Baohui.Fast electromagnetic transient simulation for flexible DC power grid[J].Automation of Electric Power Systems,2017,41(4):92-97.
[6]杨淑英,孙灯悦,陈刘伟,等.基于解析法的电网故障时双馈风力发电机电磁暂态过程研究[J].中国电机工程学报,2013,33(S1):13-20.YANG Shuying,SUN Dengyue,CHEN Liuwei.et al.Study on electromagnetic transition of DFIG-based wind turbines under grid fault based on analytical method[J].Proceedings of the CSEE,2013,33(S1):13-20.
[7]康义,陆韶琦,陈凌云,等.适用于电磁暂态仿真的大电网简化方法及在南方电网的应用[J].电力建设,2017,38(1):31-38.KANG Yi,LU Shaoqi,CHEN Lingyun,et al.A reduction method of large power systems for electromagnetic transient simulation and its application in china southern grid[J].Electric Power Construction,2017,38(1):31-38.
[8]田芳,宋瑞华,周孝信,等.全数字实时仿真装置与直流输电控制保护装置的闭环仿真试验及分析[J].电网技术,2010,34(12):57-62.TIAN Fang,SONG Ruihua,ZHOU Xiaoxin,et al.Test and analysis on closed-loop simulation of advanced digital power system simulator and HVDC control and protection devices[J].Power System Technology,2010,34(12):57-62.
[9]徐得超,赵敏,江涵,等.用于大规模电力系统机电暂态实时仿真的并行网络拓扑算法[J].高电压技术,2016,42(1):296-302.XU Dechao,ZHAO Min,JIANG Han,et al.Power system parallel network topology algorithm applied to electromechanical transient real-time simulation of large-scale power system[J].High Voltage Engineering,2016,42(1):296-302.
[10]MARTI J R,LINARES L R,CALVINO J,et al.OVNI:an object approach to real-time power system simulators[C]∥1998 Proceedings of the International Conference on Power System Technology.Beijing,China:IEEE,1998:977-981.
[11]MARTI J R,LINARES L R,HOLLMAN J A,et al.OVNI:integrated software/hardware solution for real-time simulation of large power systems[C]∥Conference Proceedings of the 14th Power Systems Computation Conference.Sevilla,Spain:[s.n.],2002:24-28.
[12]岳程燕,周孝信,李若梅.电力系统电磁暂态实时仿真中并行算法的研究[J].中国电机工程学报,2004,24(12):1-7.YUE Chengyan,ZHOU Xiaoxin,LI Ruomei.Study of parallel approaches to power system electromagnetic transient real-time simulation[J].Proceedings of the CSEE,2004,24(12):1-7.
[13]陈来军,陈颖,梅生伟.一种隐式同步策略及其在电磁暂态并行计算中的应用[J].电工电能新技术,2010,29(2):9-12.CHEN Laijun,CHEN Ying,MEI Shengwei.An implicit synchronization approach and its application in parallel computation of electro-magnetic transient[J].Advanced Technology of Electrical Engineering and Energy,2010,29(2):9-12.
[14]田芳,周孝信.交直流电力系统分割并行电磁暂态数字仿真方法[J].中国电机工程学报,2011,31(22):1-7.TIAN Fang,ZHOU Xiaoxin.Partition and parallel method for digital electromagnetic transient simulation of AC/DC power system[J].Proceedings of the CSEE,2011,31(22):1-7.
[15]ARMSTRONG M,MARTI J,LINARES L,et al.Multilevel MATEfor efficient simultaneous solution of control systems and nonlinearities in the OVNI simulator[J].IEEE Transactions on Power Systems,2006,21(3):1250-1259.
[16]GEAR C W.Multirate methods for ordinary differential equations[J].Numerical Methods with Worked Examples Matlab Edition,1974,12(3):9-13.
[17]MOREIRA F A,MARTI J R.Latency techniques for time-domain power system transients simulation[J].IEEE Transactions on Power Systems,2005,20(1):246-253.
[18]穆清,李亚楼,周孝信,等.基于传输线分网的并行多速率电磁暂态仿真算法[J].电力系统自动化,2014,38(7):47-52.MU Qing,LI Yalou,ZHOU Xiaoxin,et al.A parallel multi-rate electromagnetic transient simulation algorithm based on network division through transmission line[J].Automation of Electric Power Systems,2014,38(7):47-52.
[19]林济铿,李杨春,罗萍萍,等.波形松弛法的电力系统暂态稳定性并行仿真计算[J].电工技术学报,2006,21(12):47-53.LIN Jikeng,LI Yangchun,LUO Pingping,et al.Parallel calculation for power system transient stability based on waveform relaxation method[J].Transactions of China Electrotechnical Society,2006,21(12):47-53.
[20]陈来军,陈颖,许寅,等.基于GPU的电磁暂态仿真可行性研究[J].电力系统保护与控制,2013,41(2):107-112.CHEN Laijun,CHEN Ying,XU Yin,et al.Feasibility study of GPUbased electromagnetic transient simulation[J].Power System Protection and Control,2013,41(2):107-112.
[21]ARRILLAGA J,WATSON N.Power systems electromagnetic transients simulation[M].London,UK:The Institution of Engineering and Technology,2003.