三相不平衡配电网不确定性分布式电源运行域仿射求解算法
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摘要
高不确定性分布式电源(DG)的大量并网,给配电网安全、可靠运行带来了极大挑战。DG运行域可为DG的接入位置提供参考依据,并可实时监控配电网的运行安全,实现预警和预防性控制。提出了一种三相不平衡配电网中不确定性DG运行域的仿射求解算法。利用基于仿射算术的潮流计算求取节点电压关于DG出力不确定变量的近似线性表达式,综合考虑馈线容量、反向潮流以及电压表达式的安全范围等约束条件,构建三相不平衡配电网的DG运行域的优化求解模型,继而求取配电网中各DG的运行域边界。通过对改进的IEEE 123三相不平衡系统进行仿真,并与近似精确的仿真逼近法进行对比,验证了所提求解算法的准确性及高效性。
There is a great challenge to the safe and reliable operation of distribution networks based on a large number of highly uncertain distributed generators(DGs)connected to the grid.The dispatchable region of DG can provide a reference for the access location of the DG and be used for real-time monitoring of safety of distribution networks to achieve early warning and preventive control.An affine algorithm for solving the dispatchable region of DGs with uncertain in three-phase unbalanced distribution networks is proposed.Firstly,the approximate linear expression of the node voltage on the DG output uncertain variable is obtained by the power flow based on affine arithmetic.Then,considering the constraints,such as feeder capacity,reverse current flow and safety range of voltage expression,the optimal solution model of dispatchable region is constructed.Finally,the dispatchable region boundary of each DG in the distribution network is obtained by solving the model.By the simulation of modified IEEE 123 three-phase unbalanced system and comparison with the approximate exact simulation approximation method,the accuracy and efficiency of the proposed methodology are proved.
There is a great challenge to the safe and reliable operation of distribution networks based on a large number of highly uncertain distributed generators(DGs)connected to the grid.The dispatchable region of DG can provide a reference for the access location of the DG and be used for real-time monitoring of safety of distribution networks to achieve early warning and preventive control.An affine algorithm for solving the dispatchable region of DGs with uncertain in three-phase unbalanced distribution networks is proposed.Firstly,the approximate linear expression of the node voltage on the DG output uncertain variable is obtained by the power flow based on affine arithmetic.Then,considering the constraints,such as feeder capacity,reverse current flow and safety range of voltage expression,the optimal solution model of dispatchable region is constructed.Finally,the dispatchable region boundary of each DG in the distribution network is obtained by solving the model.By the simulation of modified IEEE 123 three-phase unbalanced system and comparison with the approximate exact simulation approximation method,the accuracy and efficiency of the proposed methodology are proved.
引文
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[11]肖峻,祖国强,周欢,等.有源配电网的全象限安全域[J].电力系统自动化,2017,41(21):79-85.DOI:10.7500/AEPS20170119001.XIAO Jun,ZU Guoqiang,ZHOU Huan,et al.Total-quadrant security region for active distribution network[J].Automation of Electric Power Systems,2017,41(21):79-85.DOI:10.7500/AEPS20170119001.
[12]王博,肖峻,周济,等.主动配电网中分布式电源和微网的运行域[J].电网技术,2017,41(2):364-370.WANG Bo,XIAO Jun,ZHOU Ji,et al.Dispatchable region of distributed generators and microgrids in distribution systems[J].Power System Technology,2017,41(2):364-370.
[13]PICCOLO A,VACCARO A,VILLACCI D.Thermal rating assessment of overhead lines by affine arithmetic[J].Electric Power Systems Research,2004,71:275-283.
[14]丁涛,柏瑞,郭庆来,等.一种非迭代仿射算法的输电网区间潮流计算方法[J].中国电机工程学报,2013,33(19):76-83.DING Tao,BO Rui,GUO Qinglai,et al.A non-iterative affine arithmetic methodology for interval power flow analysis of transmission network[J].Proceedings of the CSEE,2013,33(19):76-83.
[15]GARCES A.A linear three-phase load flow for power distribution systems[J].IEEE Transactions on Power Systems,2016,31(1):827-828.
[16]GARCIA P A N,PEREIRA J L R,CARNEIRO J S,et al.Three-phase power flow calculations using the current injection method[J].IEEE Transactions on Power Systems,2000,15(2):508-514.
[17]王洋.主动配电网优化运行策略研究[D].南京:东南大学,2016.
[18]GU W,LUO L,DING T,et al.An affine arithmetic-based algorithm for radial distribution system power flow with uncertainties[J].International Journal of Electrical Power&Energy Systems,2014,58:242-245.
[2]MOKHTARI G,NOURBAKHSH G,ZARE F,et al.Overvoltage prevention in LV smart grid using customer resources coordination[J].Energy and Buildings,2013,61:387-395.
[3]许晓艳,黄越辉,刘纯,等.分布式光伏发电对配电网电压的影响及电压越限的解决方案[J].电网技术,2010,34(10):140-146.XU Xiaoyan,HUANG Yuehui,LIU Chun,et al.Influence of distributed photovoltaic generation on voltage in distribution network and solution of voltage beyond limits[J].Power System Technology,2010,34(10):140-146.
[4]胡骅,吴汕,夏翔,等.考虑电压调整约束的多个分布式电源准入功率计算[J].中国电机工程学报,2006,26(19):13-17.HU Hua,WU Shan,XIA Xiang,et al.Computing the maximum penetration level of multiple distributed generators in distribution network taking into account voltage regulation constraints[J].Proceedings of the CSEE,2006,26(19):13-17.
[5]IEEE standard for interconnecting distributed resources with electric power systems:IEEE Std 1547-2003[S].New York,USA:The Institute of Electrical and Electronics Engineers,2009.
[6]刘科研,刘永梅,盛万兴,等.考虑电压约束的分布式电源接入配电网最大准入容量计算方法[J].电力自动化设备,2016,36(6):81-87.LIU Keyan,LIU Yongmei,SHENG Wanxing,et al.Maximal allowable DG penetration capacity calculation considering voltage constraints[J].Electric Power Automation Equipment,2016,36(6):81-87.
[7]余贻鑫,李鹏,贾宏杰.基于混合法的潮流可行域边界计算[J].电力系统自动化,2004,18(13):18-25.YU Yixin,LI Peng,JIA Hongjie.Computing the boundary of the power flow feasible region based on the hybrid method[J].Automation of Electric Power Systems,2004,18(13):18-25.
[8]余贻鑫,李鹏,孙强,等.电力系统潮流可行域边界拓扑性质及边界算法[J].电力系统自动化,2006,30(10):6-11.YU Yixin,LI Peng,SUN Qiang,et al.Study on topological properties of boundary of power flow feasibility region and algorithm for boundary computation[J].Automation of Electric Power Systems,2006,30(10):6-11.
[9]肖峻,张苗苗,祖国强,等.配电系统安全域的体积[J].中国电机工程学报,2017,37(8):2222-2230.XIAO Jun,ZHANG Miaomiao,ZU Guoqiang,et al.Volume of distribution system security region[J].Proceedings of the CSEE,2017,37(8):2222-2230.
[10]刘佳,程浩忠,李思韬,等.考虑N-1安全约束的分布式电源出力控制可视化方法[J].电力系统自动化,2016,40(11):24-30.DOI:10.7500/AEPS20150512002.LIU Jia,CHENG Haozhong,LI Sitao,et al.Visualization method of output power control of distributed generators considering N-1 security constraint[J].Automation of Electric Power Systems,2016,40(11):24-30.DOI:10.7500/AEPS20150512002.
[11]肖峻,祖国强,周欢,等.有源配电网的全象限安全域[J].电力系统自动化,2017,41(21):79-85.DOI:10.7500/AEPS20170119001.XIAO Jun,ZU Guoqiang,ZHOU Huan,et al.Total-quadrant security region for active distribution network[J].Automation of Electric Power Systems,2017,41(21):79-85.DOI:10.7500/AEPS20170119001.
[12]王博,肖峻,周济,等.主动配电网中分布式电源和微网的运行域[J].电网技术,2017,41(2):364-370.WANG Bo,XIAO Jun,ZHOU Ji,et al.Dispatchable region of distributed generators and microgrids in distribution systems[J].Power System Technology,2017,41(2):364-370.
[13]PICCOLO A,VACCARO A,VILLACCI D.Thermal rating assessment of overhead lines by affine arithmetic[J].Electric Power Systems Research,2004,71:275-283.
[14]丁涛,柏瑞,郭庆来,等.一种非迭代仿射算法的输电网区间潮流计算方法[J].中国电机工程学报,2013,33(19):76-83.DING Tao,BO Rui,GUO Qinglai,et al.A non-iterative affine arithmetic methodology for interval power flow analysis of transmission network[J].Proceedings of the CSEE,2013,33(19):76-83.
[15]GARCES A.A linear three-phase load flow for power distribution systems[J].IEEE Transactions on Power Systems,2016,31(1):827-828.
[16]GARCIA P A N,PEREIRA J L R,CARNEIRO J S,et al.Three-phase power flow calculations using the current injection method[J].IEEE Transactions on Power Systems,2000,15(2):508-514.
[17]王洋.主动配电网优化运行策略研究[D].南京:东南大学,2016.
[18]GU W,LUO L,DING T,et al.An affine arithmetic-based algorithm for radial distribution system power flow with uncertainties[J].International Journal of Electrical Power&Energy Systems,2014,58:242-245.