一种基于VSC-MTDC互联系统的多目标潮流优化方法
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摘要
对于多端柔性直流(voltage source converter based multi-terminal HVDC, VSC-MTDC)互联交直流系统,仅以网损最小作为单目标潮流优化存在不足,为此提出了一种多目标潮流优化方法。该方法基于电压源转换(voltage source converter,VSC)换流站基本功率、直流电网的潮流、交流电网的潮流以及VSC-MTDC的协调控制方程建立了潮流优化模型,并计及了VSC换流器的精确损耗以及不同协调控制方式对最优潮流的影响,同时考虑到进一步增加节点电压偏移最小和电网静态电压稳定裕度最大作为优化目标。鉴于该优化模型具有规模大、复杂度高以及非线性强的特点,将模拟退火粒子群算法(simulated annealing particle swarm optimization, SA-PSO)与预测-校正原对偶内点(predictor corrector primal-dual interior point, PC-PDIP)算法相结合作为一种混合最优潮流求解方法,不仅增强了寻优能力,还提高了收敛速度。最后利用含6端柔性直流系统改进的IEEE-39节点交直流电网进行算例分析,验证了所提方法的有效性、准确性。
For the case that traditional VSC-MTDC interconnected AC/DC system only takes the minimum network loss as single objective power flow optimization, this paper presents a kind of multi-objective power flow optimization method. On the basis of basic power of the VSC converter station, power flow of the DC power grid and the AC power grid and the coordinated control equation of VSC-MTDC, this method is used to establish a power flow optimization model. The method also considers precise loss of the VSC converter and influence of different coordinated control modes on the optimal power flow and takes the minimum node voltage deviation and the maximum static voltage stability margin of the power grid as optimized objectives. In view of that this optimized model has characteristics of large scale, high complexity and strong nonlinear, traditional simulated annealing particle swarm optimization(SA-PSO)algorithm and predictor-corrector primal-dual interior point(PC-PDIP) method is combines as a hybrid optimal power flow solution that can not only enhance optimizing ability, but also improve convergence speed. Finally, this paper makes use of the improved IEEE-39 node AC/DC power grid with six-terminal VSC-HVDC system for analysis and verifies effectiveness and accuracy of the proposed method.
For the case that traditional VSC-MTDC interconnected AC/DC system only takes the minimum network loss as single objective power flow optimization, this paper presents a kind of multi-objective power flow optimization method. On the basis of basic power of the VSC converter station, power flow of the DC power grid and the AC power grid and the coordinated control equation of VSC-MTDC, this method is used to establish a power flow optimization model. The method also considers precise loss of the VSC converter and influence of different coordinated control modes on the optimal power flow and takes the minimum node voltage deviation and the maximum static voltage stability margin of the power grid as optimized objectives. In view of that this optimized model has characteristics of large scale, high complexity and strong nonlinear, traditional simulated annealing particle swarm optimization(SA-PSO)algorithm and predictor-corrector primal-dual interior point(PC-PDIP) method is combines as a hybrid optimal power flow solution that can not only enhance optimizing ability, but also improve convergence speed. Finally, this paper makes use of the improved IEEE-39 node AC/DC power grid with six-terminal VSC-HVDC system for analysis and verifies effectiveness and accuracy of the proposed method.
引文
[1] 洪莎莎,武迪,吕宏水,等.基于高阶系统模型的VSC-MTDC下垂控制策略研究[J].电力系统保护与控制,2017,45(22):125-131.HONG Shasha,WU Di,Lü Hongshui,et al.Droop control strategy research of VSC-MTDC based on high-order system model[J].Power System Protection and Control,2017,45(22):125-131.
[2] 王鹤,刘禹彤,李国庆,等.基于最优潮流的多端柔性直流输电系统控制策略[J].电力系统自动化,2017,41(11):150-155.WANG He,LIU Yutong,LI Guoqing,et al.Control strategy for VSC-based multi-terminal DC transmission system based on optimal power flow[J].Automation of Electric Power Systems,2017,41(11):150-155.
[3] 张芳,李清泉,李传栋.含VSC-MTDC的交直流系统潮流控制算法[J].电力系统及其自动化学报,2017,29(2):62-70.ZHANG Fang,LI Qingquan,LI Chuandong.Power flow control algorithm for AC/DC system with VSC-MTDC[J].Proceedings of the CSU-EPSA,2017,29(2):62-70.
[4] 伍双喜,李力,张轩,等.南澳多端柔性直流输电工程交直流相互影响分析[J].广东电力,2015,28(4):26-30.WU Shuangxi,LI li,ZHANG Xuan,et al.Analysis on AC/DC interaction of Nan'ao multi-terminal flexible VSC-HVDC transmission engineering[J].Guangdong Electric Power,2015,28(4):26-30.
[5] 凌卫家,孙维真,张静,等.舟山多端柔性直流输电示范工程典型运行方式分析[J].电网技术,2016,40(6):1751-1758.LING Weijia,SUN Weizhen,ZHANG Jing,et al.Analysis of typical operating modes of Zhoushan multi-terminal VSC-HVDC pilot project[J].Power System Technology,2016,40(6):1751-1758.
[6] 范松丽,苑仁峰,艾芊,等.欧洲超级电网计划及其对中国电网建设启示[J].电力系统自动化,2015,39(10):6-15.FAN Songli,YUAN Renfeng,AI Qian,et al.European supergrid project and its enlightenment to China’s power grid[J].Automation of Electric Power Systems,2015,39(10):6-15.
[7] 蔡新雷.广东南澳多端柔性直流输电系统调度运行策略探讨[J].广东电力,2016,29(7):93-96.CAI Xinlei.Discussion on dispatching operation strategy for Guangdong Nan'ao VSC-MTDC transmission system[J].Guangdong Electric Power,2016,29(7):93-96.
[8] BARADAR M,HESAMZADEH M R,GHANDHARI M.Second-order cone programming for optimal power flow in VSC-type AC-DC grids[J].IEEE Transactions on Power Systems,2013,28(4):4282-4291.
[9] 卫志农,季聪,郑玉平,等.计及VSC-HVDC的交直流系统最优潮流统-混合算法[J].中国电机工程学报,2014,34(4):635-643.WEI Zhinong,JI Cong,ZHENG Yuping,et al.Optimal power flow of AC-DC systems with VSC-HVDC based on a novel unified hybrid algorithm[J].Proceedings of the CSEE,2014,34(4):635-643.
[10] 孙国强,任宾,卫志农,等.基于自适应加权预测-校正内点法的含VSC-HVDC电力系统最优潮流[J].电力自动化设备,2015,35(3):54-59.SUN Guoqiang,REN Bin,WEI Zhinong,et al.Optimal power flow of power system with VSC-HVDC based on AWPC-IPM[J].Electric Power Automation Equipment,2015,35(3):54-59.
[11] FENG W,TUAN A L,TJERNBERG L B,et al.A new approach for benefit evaluation of multiterminal VSC-HVDC using a proposed mixed AC/DC optimal power flow[J].IEEE Transactions on Power Delivery,2014,29(1):432-443.
[12] 夏小琴,徐伟.考虑调整变化量和变步长的暂态稳定约束最优潮流模型[J].电力工程技术,2018,37(6):115-119.XIA Xiaoqin,XU Wei.Transient stability constrained optimal power flow model considering power adjustments and variable step size[J].Electric Power Engineering Technology,2018,37(6):115-119.
[13] BEERTEN J,COLE S,BELMANS R.Generalized steady-state VSC-MTDC model for sequential AC/DC power flow algorithms[J].IEEE Transactions on Power Systems,2012,27(2):821-829.
[14] 孙赞,陶帅,颛孙旭,等.一种考虑暂态稳定性的VSC-HVDC系统优化控制策略[J].智慧电力,2017,45(9):7-13.SUN Zan,TAO Shuai,ZHUANSUN Xu,et al.Optimized control strategy of VSC-HVDC system considering transient stability[J].Smart Power,2017,45(9):7-13.
[15] 李程昊,谢竹君,林卫星,等.中高频模块化多电平换流器阀损耗的精确计算方法与分析平台[J].中国电机工程学报,2015,35(17):4361-4370.LI Chenghao,XIE Zhujun,LIN Weixing,et al.Accurate valve loss calculation method and analyzing platform for medium and high-frequency MMC[J].Proceedings of the CSEE,2015,35(17):4361-4370.
[16] 唐权,吴耀武,熊信银,等.SA-PSO在水火电混合电力系统电源规划中的应用[J].高电压技术,2006,32(4):104-107.TANG Quan,WU Yaowu,XIONG Xinyin,et al.Generation expansion planning of hydro-thermal power system based on SA-PSO[J].High Voltage Engineering,2006,32(4):104-107.
[17] 余娟,颜伟,徐国禹,等.基于预测-校正原对偶内点法的无功优化新模型[J].中国电机工程学报,2005,25(11):146-151.YU Juan,YAN Wei,XU Guoyu,et al.A new model of reactive optimization based on predictor corrector primal dual interior point method[J].Proceedings of the CSEE,2005,25(11):146-151.
[18] 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.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.
[2] 王鹤,刘禹彤,李国庆,等.基于最优潮流的多端柔性直流输电系统控制策略[J].电力系统自动化,2017,41(11):150-155.WANG He,LIU Yutong,LI Guoqing,et al.Control strategy for VSC-based multi-terminal DC transmission system based on optimal power flow[J].Automation of Electric Power Systems,2017,41(11):150-155.
[3] 张芳,李清泉,李传栋.含VSC-MTDC的交直流系统潮流控制算法[J].电力系统及其自动化学报,2017,29(2):62-70.ZHANG Fang,LI Qingquan,LI Chuandong.Power flow control algorithm for AC/DC system with VSC-MTDC[J].Proceedings of the CSU-EPSA,2017,29(2):62-70.
[4] 伍双喜,李力,张轩,等.南澳多端柔性直流输电工程交直流相互影响分析[J].广东电力,2015,28(4):26-30.WU Shuangxi,LI li,ZHANG Xuan,et al.Analysis on AC/DC interaction of Nan'ao multi-terminal flexible VSC-HVDC transmission engineering[J].Guangdong Electric Power,2015,28(4):26-30.
[5] 凌卫家,孙维真,张静,等.舟山多端柔性直流输电示范工程典型运行方式分析[J].电网技术,2016,40(6):1751-1758.LING Weijia,SUN Weizhen,ZHANG Jing,et al.Analysis of typical operating modes of Zhoushan multi-terminal VSC-HVDC pilot project[J].Power System Technology,2016,40(6):1751-1758.
[6] 范松丽,苑仁峰,艾芊,等.欧洲超级电网计划及其对中国电网建设启示[J].电力系统自动化,2015,39(10):6-15.FAN Songli,YUAN Renfeng,AI Qian,et al.European supergrid project and its enlightenment to China’s power grid[J].Automation of Electric Power Systems,2015,39(10):6-15.
[7] 蔡新雷.广东南澳多端柔性直流输电系统调度运行策略探讨[J].广东电力,2016,29(7):93-96.CAI Xinlei.Discussion on dispatching operation strategy for Guangdong Nan'ao VSC-MTDC transmission system[J].Guangdong Electric Power,2016,29(7):93-96.
[8] BARADAR M,HESAMZADEH M R,GHANDHARI M.Second-order cone programming for optimal power flow in VSC-type AC-DC grids[J].IEEE Transactions on Power Systems,2013,28(4):4282-4291.
[9] 卫志农,季聪,郑玉平,等.计及VSC-HVDC的交直流系统最优潮流统-混合算法[J].中国电机工程学报,2014,34(4):635-643.WEI Zhinong,JI Cong,ZHENG Yuping,et al.Optimal power flow of AC-DC systems with VSC-HVDC based on a novel unified hybrid algorithm[J].Proceedings of the CSEE,2014,34(4):635-643.
[10] 孙国强,任宾,卫志农,等.基于自适应加权预测-校正内点法的含VSC-HVDC电力系统最优潮流[J].电力自动化设备,2015,35(3):54-59.SUN Guoqiang,REN Bin,WEI Zhinong,et al.Optimal power flow of power system with VSC-HVDC based on AWPC-IPM[J].Electric Power Automation Equipment,2015,35(3):54-59.
[11] FENG W,TUAN A L,TJERNBERG L B,et al.A new approach for benefit evaluation of multiterminal VSC-HVDC using a proposed mixed AC/DC optimal power flow[J].IEEE Transactions on Power Delivery,2014,29(1):432-443.
[12] 夏小琴,徐伟.考虑调整变化量和变步长的暂态稳定约束最优潮流模型[J].电力工程技术,2018,37(6):115-119.XIA Xiaoqin,XU Wei.Transient stability constrained optimal power flow model considering power adjustments and variable step size[J].Electric Power Engineering Technology,2018,37(6):115-119.
[13] BEERTEN J,COLE S,BELMANS R.Generalized steady-state VSC-MTDC model for sequential AC/DC power flow algorithms[J].IEEE Transactions on Power Systems,2012,27(2):821-829.
[14] 孙赞,陶帅,颛孙旭,等.一种考虑暂态稳定性的VSC-HVDC系统优化控制策略[J].智慧电力,2017,45(9):7-13.SUN Zan,TAO Shuai,ZHUANSUN Xu,et al.Optimized control strategy of VSC-HVDC system considering transient stability[J].Smart Power,2017,45(9):7-13.
[15] 李程昊,谢竹君,林卫星,等.中高频模块化多电平换流器阀损耗的精确计算方法与分析平台[J].中国电机工程学报,2015,35(17):4361-4370.LI Chenghao,XIE Zhujun,LIN Weixing,et al.Accurate valve loss calculation method and analyzing platform for medium and high-frequency MMC[J].Proceedings of the CSEE,2015,35(17):4361-4370.
[16] 唐权,吴耀武,熊信银,等.SA-PSO在水火电混合电力系统电源规划中的应用[J].高电压技术,2006,32(4):104-107.TANG Quan,WU Yaowu,XIONG Xinyin,et al.Generation expansion planning of hydro-thermal power system based on SA-PSO[J].High Voltage Engineering,2006,32(4):104-107.
[17] 余娟,颜伟,徐国禹,等.基于预测-校正原对偶内点法的无功优化新模型[J].中国电机工程学报,2005,25(11):146-151.YU Juan,YAN Wei,XU Guoyu,et al.A new model of reactive optimization based on predictor corrector primal dual interior point method[J].Proceedings of the CSEE,2005,25(11):146-151.
[18] 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.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.