考虑负荷变化影响的综合无功优化并行计算模型
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摘要
实际综合无功优化中,保证系统尽量远离可能的崩溃点十分重要。提出基于ε-支配域并行算法的综合无功优化模型,通过负荷裕度指标对系统电压稳定性进行评估,利用基于ε-支配域的并行计算方法,解决了单独依靠状态指标难以准确估计系统崩溃点和裕度指标应用到多目标无功优化中导致的速度瓶颈问题,实现了系统电压稳定水平的实时、全面的评估,为运行人员提供了更全面的系统信息。通过IEEE14、IEEE30和IEEE118节点系统验证了所提模型和算法的正确性和有效性。
It is necessary,in reactive power optimization,to have power system to run stable and keep away from voltage collapse as possible.This paper presents a coordinated reactive power optimization model based on aε-domination parallel algorithm.It calculates load power margin by Primal-dual interior point nonlinear programming,which can assess voltage stability quickly and completely,solve the difficulty in evaluating the voltage collapse point by status indicators only,and provide operators more important information.Simulation results of IEEE 14,IEEE30 and IEEE118 node systems show that the approach is right and efficient.
It is necessary,in reactive power optimization,to have power system to run stable and keep away from voltage collapse as possible.This paper presents a coordinated reactive power optimization model based on aε-domination parallel algorithm.It calculates load power margin by Primal-dual interior point nonlinear programming,which can assess voltage stability quickly and completely,solve the difficulty in evaluating the voltage collapse point by status indicators only,and provide operators more important information.Simulation results of IEEE 14,IEEE30 and IEEE118 node systems show that the approach is right and efficient.
引文
[1]Popovic,Dragana H.Optimal voltage security control of power systems[J].International Journal of Electrical Power & Energy Systems,2002,24(4):305-320.
[2]张安安,杨洪耕.基于ε-支配域的模糊多目标无功优化方法[J].电力系统自动化,2009,33(5):34-39. ZHANG An-an,YANG Hong-geng.A newε-dominatior based fuzzy multi-objective reactive power optimization approach[J].Automation of Electric Power Systems,2009, 33(5):34-39.
[3]熊虎岗,程浩忠,李宏仲.基于免疫算法的多目标无功优化[J].中国电机工程学报,2006,26(11):102-108. XIONG Hu-gang,CHENG Hao-zhong,LI Hong-zhong. Multi-objective reactive power optimization based on immune algorithm[J].Proceedings of the CSEE,2006, 26(11):102-108.
[4]王勤,方鸽飞.考虑电压稳定性的电力系统多目标无功优化[J].电力系统自动化,1999,23(3):31-34. WANG Qin,FANG Ge-fei.Multi-objective reactive power optimization considering voltage stability[J]. Automation of Electric Power Systems,1999,23(3): 31-34.
[5]冯士刚,艾芊.带精英策略的快速非支配排序遗传算法在多目标无功优化中的应用[J].电工技术学报, 2007,22(12):146-151. FENG Shi-gang,AI Qian.Application of fast and elitist non-dominated sorting generic algorithm in multi-objective reactive power optimization[J]. Transactions of China Electrotechnical Society,2007,22 (12):146-151.
[6]Narendranath Udupa A,Thukaram D,Parthasarathy K. An expert fuzzy control approach to voltage stability enhancement[J].International Journal of Electrical Power & Energy Systems,1999,21(4):279-287.
[7]ZHANG,Wen,LIU Yu-tian.Multi-objective reactive power and voltage control based on fuzzy optimization strategy and fuzzy adaptive particle swarm[J]. International Journal of Electrical Power & Energy Systems,2008,30(9):525-532.
[8]刘佳,李丹,高立群.多目标无功优化的向量评价自适应粒子群算法[J].中国电机工程学报,2008,28(31): 22-28. LIU Jia,LI Dan,GAO Li-qun.Vector evaluated adaptive particle swarm optimization algorithm for multi-objective reactive power optimization[J].Proceedings of the CSEE, 2008,28(31):22-28.
[9]Chattopadhyay D,Chakrabarti B B.Reactive power planning incorporating voltage stability[J].International Journal of Electrical Power & Energy Systems,2002,24 (3):185-200.
[10]刘明波,杨勇.计及静态电压稳定约束的无功优化规划[J].电力系统自动化,2005,29(5):21-25. LIU Ming-bo,YANG Yong.Optimal reactive power planning incorporating steady state voltage stability constraints[J].Automation of Electric Power Systems, 2005,29(5):21-25.
[11]de souza A C Z,Honorio L M,Torres G L.Increasing the loadability of power systems through optimal-local-control actions[J].IEEE Transactions on Power Systems, 2004,19(1):188-194.
[12]He R,Taylor G A,Song Y H.Multi-objective optimal reactive power fow including voltage security and demand profile classification[J].International Journal of Electrical Power & Energy Systems,2008,30(5): 327-336.
[13]刘明波,曲绍杰,马冠雄.含静态电压稳定裕度约束的无功优化[J].华南理工大学学报,2009,37(2): 107-112. LIU Ming-bo,QU Shao-jie,MA Guan-xiong.Reactive power optimization with constraints of static voltage stability margin[J].Journal of South China University of Technology,2009,37(2):107-112.
[14]Kessel P,Glavitsch H.Estimating the voltage stability of a power system[J].IEEE Transactions on Power Delivery, 1986,PWRD1(3):346-354.
[15]Tiranuchit A,Thomas R J.A posturing strategy against voltage instabilities in electric power systems[J].IEEE Transactions on Power Systems,1988,3(1):87-93.
[16]李华强,刘亚梅,Yorino N.鞍结分岔与极限诱导分岔的电压稳定性评估[J].中国电机工程学报,2005,25 (24):56-60. LI Hua-qiang,LIU Ya-mei,YORINO N.Voltage stability assessment for saddle node bifurcation and limit induced bifurcation[J].Proceedings of the CSEE,2005,25 (24):56-60.
[17]Wei H,Sasaki H,Kunbkawa J et al.An interior point programming for optimal power flow problems with a novel data structure[J].IEEE Transactions on Power Systems,1998,13(3):870-877.
[18]Deb K,Mohan M,Mishra.Evaluating theε-domination based multi-objective evolutionary algorithm for a quick computation of pareto-optimal solutions[J].Evolutionary Computation,2005,13(4):501-525.
[19]刘劲松,刘福田,刘俊.地震层析成像LSQR算法的并行化[J].地球物理学报,2006,49(2):540-545. LIU Jin-song,LIU Fu-tian,LIU Jun.Parallization of LSQR algorithms used in seismic tomography[J]. Chinese Journal of Geophysics,2006,49(2):540-545.
[2]张安安,杨洪耕.基于ε-支配域的模糊多目标无功优化方法[J].电力系统自动化,2009,33(5):34-39. ZHANG An-an,YANG Hong-geng.A newε-dominatior based fuzzy multi-objective reactive power optimization approach[J].Automation of Electric Power Systems,2009, 33(5):34-39.
[3]熊虎岗,程浩忠,李宏仲.基于免疫算法的多目标无功优化[J].中国电机工程学报,2006,26(11):102-108. XIONG Hu-gang,CHENG Hao-zhong,LI Hong-zhong. Multi-objective reactive power optimization based on immune algorithm[J].Proceedings of the CSEE,2006, 26(11):102-108.
[4]王勤,方鸽飞.考虑电压稳定性的电力系统多目标无功优化[J].电力系统自动化,1999,23(3):31-34. WANG Qin,FANG Ge-fei.Multi-objective reactive power optimization considering voltage stability[J]. Automation of Electric Power Systems,1999,23(3): 31-34.
[5]冯士刚,艾芊.带精英策略的快速非支配排序遗传算法在多目标无功优化中的应用[J].电工技术学报, 2007,22(12):146-151. FENG Shi-gang,AI Qian.Application of fast and elitist non-dominated sorting generic algorithm in multi-objective reactive power optimization[J]. Transactions of China Electrotechnical Society,2007,22 (12):146-151.
[6]Narendranath Udupa A,Thukaram D,Parthasarathy K. An expert fuzzy control approach to voltage stability enhancement[J].International Journal of Electrical Power & Energy Systems,1999,21(4):279-287.
[7]ZHANG,Wen,LIU Yu-tian.Multi-objective reactive power and voltage control based on fuzzy optimization strategy and fuzzy adaptive particle swarm[J]. International Journal of Electrical Power & Energy Systems,2008,30(9):525-532.
[8]刘佳,李丹,高立群.多目标无功优化的向量评价自适应粒子群算法[J].中国电机工程学报,2008,28(31): 22-28. LIU Jia,LI Dan,GAO Li-qun.Vector evaluated adaptive particle swarm optimization algorithm for multi-objective reactive power optimization[J].Proceedings of the CSEE, 2008,28(31):22-28.
[9]Chattopadhyay D,Chakrabarti B B.Reactive power planning incorporating voltage stability[J].International Journal of Electrical Power & Energy Systems,2002,24 (3):185-200.
[10]刘明波,杨勇.计及静态电压稳定约束的无功优化规划[J].电力系统自动化,2005,29(5):21-25. LIU Ming-bo,YANG Yong.Optimal reactive power planning incorporating steady state voltage stability constraints[J].Automation of Electric Power Systems, 2005,29(5):21-25.
[11]de souza A C Z,Honorio L M,Torres G L.Increasing the loadability of power systems through optimal-local-control actions[J].IEEE Transactions on Power Systems, 2004,19(1):188-194.
[12]He R,Taylor G A,Song Y H.Multi-objective optimal reactive power fow including voltage security and demand profile classification[J].International Journal of Electrical Power & Energy Systems,2008,30(5): 327-336.
[13]刘明波,曲绍杰,马冠雄.含静态电压稳定裕度约束的无功优化[J].华南理工大学学报,2009,37(2): 107-112. LIU Ming-bo,QU Shao-jie,MA Guan-xiong.Reactive power optimization with constraints of static voltage stability margin[J].Journal of South China University of Technology,2009,37(2):107-112.
[14]Kessel P,Glavitsch H.Estimating the voltage stability of a power system[J].IEEE Transactions on Power Delivery, 1986,PWRD1(3):346-354.
[15]Tiranuchit A,Thomas R J.A posturing strategy against voltage instabilities in electric power systems[J].IEEE Transactions on Power Systems,1988,3(1):87-93.
[16]李华强,刘亚梅,Yorino N.鞍结分岔与极限诱导分岔的电压稳定性评估[J].中国电机工程学报,2005,25 (24):56-60. LI Hua-qiang,LIU Ya-mei,YORINO N.Voltage stability assessment for saddle node bifurcation and limit induced bifurcation[J].Proceedings of the CSEE,2005,25 (24):56-60.
[17]Wei H,Sasaki H,Kunbkawa J et al.An interior point programming for optimal power flow problems with a novel data structure[J].IEEE Transactions on Power Systems,1998,13(3):870-877.
[18]Deb K,Mohan M,Mishra.Evaluating theε-domination based multi-objective evolutionary algorithm for a quick computation of pareto-optimal solutions[J].Evolutionary Computation,2005,13(4):501-525.
[19]刘劲松,刘福田,刘俊.地震层析成像LSQR算法的并行化[J].地球物理学报,2006,49(2):540-545. LIU Jin-song,LIU Fu-tian,LIU Jun.Parallization of LSQR algorithms used in seismic tomography[J]. Chinese Journal of Geophysics,2006,49(2):540-545.
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