电网最优负荷削减的动态校正域及Ward等值模型
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摘要
为提高电网可靠性评估效率,提出一种基于动态校正域及Ward等值的最优负荷削减模型。首先,为求取过载线路的有效校正区域,根据Wood Bury矩阵变换推导了节点交叉权重的解析表达式,基于此给出了动态校正域的计算流程;其次,为反映动态校正域外部网络的影响,提出计及等效平衡节点的静态Ward等值方法,实现了外部网络的灵活等值;最后,构建了基于动态校正域的最优负荷削减模型,从而将常规负荷削减计算由全网整体优化转换成动态校正域中的一系列小规模逐次优化,降低了优化计算规模,提高了可靠性评估计算效率。对RBTS、IEEE-RTS79和IEEE-RTS96系统的仿真结果验证了本文模型的有效性和快速性。
A modified load curtailment model based on dynamic correction area and static Ward equivalent method is proposed to improve the calculation efficiency of power system reliability assessment.Firstly,an analytical expression of cross-weight for node was deduced using Wood Bury matrix transformation,on the basis of which the dynamic correction area that reflected the effective adjustment area for overload lines was determined.Secondly,a static Ward equivalent method of considering equivalent slack node was developed,thus realizing the flexible equivalence of external network of dynamic correction area.Furthermore,a modified load curtailment model for dynamic correction area was presented.The proposed model transforms traditional load curtailment method which is a global optimization,to a series of consecutive sub-optimizations in the dynamic correction areas,reducing the optimization scale and improving the calculation efficiency greatly.The effectiveness of the proposed method is verified by the simulation results of RBTS,IEEE-RTS79 and IEEE-RTS96 systems.
A modified load curtailment model based on dynamic correction area and static Ward equivalent method is proposed to improve the calculation efficiency of power system reliability assessment.Firstly,an analytical expression of cross-weight for node was deduced using Wood Bury matrix transformation,on the basis of which the dynamic correction area that reflected the effective adjustment area for overload lines was determined.Secondly,a static Ward equivalent method of considering equivalent slack node was developed,thus realizing the flexible equivalence of external network of dynamic correction area.Furthermore,a modified load curtailment model for dynamic correction area was presented.The proposed model transforms traditional load curtailment method which is a global optimization,to a series of consecutive sub-optimizations in the dynamic correction areas,reducing the optimization scale and improving the calculation efficiency greatly.The effectiveness of the proposed method is verified by the simulation results of RBTS,IEEE-RTS79 and IEEE-RTS96 systems.
引文
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[2]赵渊,周家启,周念成,等.发输电系统可靠性评估的启发式就近负荷削减模型[J].电网技术,2005,29(23):34-39.ZHAO Yuan,ZHOU Jiaqi,ZHOU Niancheng,et al.A heuristic approach to local load shedding scheme for reliability assessment of composite generation and transmission system[J].Power System Technology,2005,29(23):34-39.(in Chinese)
[3]焦建林,元一平,赵渊.电网可靠性评估的反向等量配对负荷削减模型[J].重庆大学学报,2018,41(4):43-53.JIAO Jianlin,YUAN Yiping,ZHAO Yuan.A reverse equivalent paring load shedding model for assessing power system reliability[J].Journal of Chongqing University,2018,41(4):43-53.(in Chinese)
[4]Sakis A P,Xia F.Optimal power flow application to composite power system reliability analysis[C]∥Athens Power Tech,Apt 93Joint International Power Conference,September 5-8,1993,Athens,Greece.IEEE,1993:185-190.
[5]杨金刚,李顺昕,赵炜炜,等.电网可靠性评估的网络静态等值模型分析[J].重庆大学学报,2017,40(4):35-43.YANG Jingang,LI Shunxin,ZHAO Weiwei,et al.Network static equivalent model for power system reliability evaluation[J].Journal of Chongqing University,2017,40(4):35-43.(in Chinese)
[6]Akhavein A,Firuzabad M F,Billinton R,et al.Review of reduction techniques in the determination of composite system adequacy equivalents[J].Electric Power Systems Research,2010,80(12):1385-1393.
[7]Zhang W,Billinton R.Application of an adequacy equivalent method in bulk power system reliability evaluation[J].IEEE Transactions on Power Systems,1998,13(2):661-666.
[8]Kumar S,Billinton R.Adequacy equivalents in composite power system evaluation[J].IEEE Transactions on Power Systems,1988,3(3):1167-1173.
[9]Maghraby H A M,Allan R N.Application of DC equivalents to the reliability evaluation of composite power systems[J].IEEE Transactions on Power Systems,1999,14(1):355-361.
[10]Audomvongseree K,Eua-Arporn B.Composite system reliability evaluation using AC equivalent network[C]∥International Conference on Power System Technology,December 4-7,2000,Perth,WA,Australia.IEEE,2000:751-756.
[11]da Silva A M L,Resende L C,Manso L A F.Application of monte carlo simulation to well-being analysis of large composite power systems[C]∥9th International Conference on Probabilistic Methods Applied to Power Systems,June 11-15,2006,Stockholm,Sweden.IEEE,2006:1-6.
[12]Oatts M L,Erwin S R,Hart J L.Application of the REI equivalent for operations planning analysis of interchange schedules[J].IEEE Transactions on Power Systems,1990,5(2):547-555.
[13]刘文颖,徐鹏,梁才,等.一种计及交叉权重的有功校正控制算法[J].电工技术学报,2014,29(8):281-288.LIU Wenyin,XU Peng,LIANG Cai,et al.A new algorithm of active power correction control using cross-weight factor[J].Transactions of China Electrotechnical Society,2014,29(8):281-288.(in Chinese)
[14]Sherman J,Morrison W J.Adjustment of an inverse matrix corresponding to a change in one element of a given matrix[J].The Annals of Mathematical Statistics,1950,21(1):124-127.
[15]Billinton R,Kumar S,Chowdhury N,et al.A reliability test system for educational purposes-basic data[J].IEEE Transactions on Power Systems,1989,4(3):1238-1244.
[16]Probability Methods Subcommittee.IEEE reliability test system[J].IEEE Transactions on Power Apparatus and Systems,1979,PAS-98(6):2047-2054.
[17]Grigg C,Wong P,Albrecht P,et al.The IEEE reliability test system-1996[J].IEEE Transactions on Power Systems,1999,14(3):1019-1020.