基于有向图的网损分摊机理分析与建模
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摘要
电力市场环境下,如何公平合理地进行网损分摊是市场各参与方十分关注的难点问题。针对电力市场中的网损分摊问题做了两部分研究:首先将网损分摊问题转化为运筹学中的多目标规划问题,应用优化方法证明比例分摊原则的合理性;其次为了合理分摊线路上的网损,利用图论中有向图理论和组合矩阵中幂序列的基本性质提出了域的定义及算法,然后在此基础上结合交叉项问题提出了一种基于有向图的网损分摊算法,并通过仿真运算说明了该方法的合理性及可行性。
In the electricity market environment,how to realize fairness and reasonable loss allocation is a difficult issues issue market participants are much concerned about. In this paper,the net loss allocation in the electricity market is divided into two parts. Firstly,loss allocation problem is transformed into a multiple objective programming problem in operations research. Based on the optimization methods,a proof of the rationality of the proportional sharing principle is also given. Then,in order to reasonably allocate the loss on the line,graph theory and the power sequence of matrix combinations are used to give the definition and algorithm of domain. And then on this basis,a cross-question loss allocation algorithm for domain-based network is given and the algorithm flow chart is also presented. Finally,the rationality and feasibility of the method is illustrated according to simulation.
In the electricity market environment,how to realize fairness and reasonable loss allocation is a difficult issues issue market participants are much concerned about. In this paper,the net loss allocation in the electricity market is divided into two parts. Firstly,loss allocation problem is transformed into a multiple objective programming problem in operations research. Based on the optimization methods,a proof of the rationality of the proportional sharing principle is also given. Then,in order to reasonably allocate the loss on the line,graph theory and the power sequence of matrix combinations are used to give the definition and algorithm of domain. And then on this basis,a cross-question loss allocation algorithm for domain-based network is given and the algorithm flow chart is also presented. Finally,the rationality and feasibility of the method is illustrated according to simulation.
引文
[1]杜正春,夏道止(Du Zhengchun,Xia Daozhi).输电系统网损的合理分摊(A novel method for allocation of transmission losses)[J].电力系统自动化(Automation of Electric Power Systems),2002,26(4):18-22.
[2]Shuttleworth,W I.Allocation Transmission Losses:Methods and Criteria[C]//A Submission to the DICG Prepared by NERA.London England:1999.
[3]鲁广明,鲍海,杨以涵,等(Lu Guangming,Bao Hai,Yang Yihan,et al).输电网网损分摊方法的比较研究(Study of transmission loss allocation methods)[J].华东电力(East China Electric Power),2008,36(5):37-40.
[4]董世勇,倪广魁(Dong Shiyong,Ni Guangkui).电力系统网损分摊方法研究(Discussion on loss allocation method for power system)[J].四川电力技术(Sichuan Electric Power Technology),2010,33(3):6-10,46.
[5]杜松怀,温步壕,蒋传文.电力市场[M].北京:中国电力出版社,2004.
[6]Baldick R,Kahn E.Contract paths,path-shifters,and efficient electricity trade[J].IEEE Trans on Power Systems,1997,12(2):749-755.
[7]Conejo A J,Arroyo J M,Alguacil N,et al.Transmission loss allocation:A comparison of different practical algorithms[J].IEEE Trans on Power Systems,2002,17(3):571-576.
[8]伍期刚,程浩忠,刘梓洪(Wu Qigang,Cheng Haozong,Liu Zihong).边际网损系数法中的网损分摊调整方法(New regulation method of marginal loss coefficient in loss allocation of power market)[J].电力系统及其自动化学报(Proceedings of the CSU-EPSA),2005,17(3):78-81.
[9]艾东平,鲍海,杨以涵(Ai Dongping,Bao Hai,Yang Yihang).基于电路理论的发电权交易网损增量补偿解析(Analysis of incremental loss compensation on generation rights trade based on circuit theory)[J].电力系统保护与控制(Power System Protection and Control),2010,38(22):135-140.
[10]Bialek J.Tracing the flow of electricity[J].IEEE Proceedings-Generation,Transmission and Distribution,1996,143(4):313-320.
[11]Wu Z Q,Chen G Z.MVA power flow and loss analysis for electricity market[J].IEE Proceedings-Generation,Transmission and Distribution,2001,148(2):153-158.
[12]谢开贵,周家启(Xie Kaigui,Zhou Jiaqi).基于有向通路的潮流跟踪新方法(A new power flow tracing method based on directed path)[J].中国电机工程学报(Proceedings of the CSEE),2001,21(11):87-91,95.
[13]Chai Soon-Kin,Sekar A.Graph theory application to deregulated power system[C]//33rd Southeastern Symposium on System Theory.Athens,USA:2001.
[14]龚卫国,张伟民(Gong Weiguo,Zhang Weimin).基于有向通路的潮流跟踪新算法(A new power flow tracing method based on directed circuit)[J].电测与仪表(Eletrical Measurement&Instrumentation),2011,48(542):54-57.
[15]Tan X,Lie T T.Application of the shapley value on transmission cost allocation in the competitive power market environment[J].IEE Proceedings-Generation,Transmission and Distribution,2002,149(1):15-20.
[16]胡朝阳,韩祯祥(Hu Zhaoyang,Han Zhenxiang).基于Shapley值的网损分摊新方法(A new Shapley value based method for allocation of transmission losses)[J].电力系统自动化(Automation of Electric Power Systems),2003,27(7):32-35.
[17]胡福年,刘亚军,胥璐(Hu Funian,Liu Yajun,Xu Lu).基于同胚映射和微元分析的网损交叉项分摊方法研究(Research on the cross item allocation of power losses based on homeomorphism mapping and microelement methods)[J].电力系统保护与控制(Power System Protection and Control),2012,40(19):96-102.
[18]刘福斌,李扬,陈珩(Liu Fubin,Li Yang,Chen Heng).电力市场中按比例分配原则的证明及其推广(Proof and extension of proportional sharing principle in electricity market)[J].电网技术(Power System Technology),2001,25(5):25-29.
[19]Wu Z Q,Chen Z G.MVA power flow and loss analysis for electricity market[J].IEE Proceedings-Generation,Transmission and Distribution,2001,148(2):153-158.
[20]Bialek J W,Kattuman P A.Proportional sharing assumption in tracing methodology[J].IEE Proceedings-Generation,Transmission and Distribution,2004,151(4):526-532.
[21]钱颂迪.运筹学[M].北京:清华大学出版社,1990.
[22]柳柏濂.组合矩阵论[M].北京:科学出版社,1996.
[2]Shuttleworth,W I.Allocation Transmission Losses:Methods and Criteria[C]//A Submission to the DICG Prepared by NERA.London England:1999.
[3]鲁广明,鲍海,杨以涵,等(Lu Guangming,Bao Hai,Yang Yihan,et al).输电网网损分摊方法的比较研究(Study of transmission loss allocation methods)[J].华东电力(East China Electric Power),2008,36(5):37-40.
[4]董世勇,倪广魁(Dong Shiyong,Ni Guangkui).电力系统网损分摊方法研究(Discussion on loss allocation method for power system)[J].四川电力技术(Sichuan Electric Power Technology),2010,33(3):6-10,46.
[5]杜松怀,温步壕,蒋传文.电力市场[M].北京:中国电力出版社,2004.
[6]Baldick R,Kahn E.Contract paths,path-shifters,and efficient electricity trade[J].IEEE Trans on Power Systems,1997,12(2):749-755.
[7]Conejo A J,Arroyo J M,Alguacil N,et al.Transmission loss allocation:A comparison of different practical algorithms[J].IEEE Trans on Power Systems,2002,17(3):571-576.
[8]伍期刚,程浩忠,刘梓洪(Wu Qigang,Cheng Haozong,Liu Zihong).边际网损系数法中的网损分摊调整方法(New regulation method of marginal loss coefficient in loss allocation of power market)[J].电力系统及其自动化学报(Proceedings of the CSU-EPSA),2005,17(3):78-81.
[9]艾东平,鲍海,杨以涵(Ai Dongping,Bao Hai,Yang Yihang).基于电路理论的发电权交易网损增量补偿解析(Analysis of incremental loss compensation on generation rights trade based on circuit theory)[J].电力系统保护与控制(Power System Protection and Control),2010,38(22):135-140.
[10]Bialek J.Tracing the flow of electricity[J].IEEE Proceedings-Generation,Transmission and Distribution,1996,143(4):313-320.
[11]Wu Z Q,Chen G Z.MVA power flow and loss analysis for electricity market[J].IEE Proceedings-Generation,Transmission and Distribution,2001,148(2):153-158.
[12]谢开贵,周家启(Xie Kaigui,Zhou Jiaqi).基于有向通路的潮流跟踪新方法(A new power flow tracing method based on directed path)[J].中国电机工程学报(Proceedings of the CSEE),2001,21(11):87-91,95.
[13]Chai Soon-Kin,Sekar A.Graph theory application to deregulated power system[C]//33rd Southeastern Symposium on System Theory.Athens,USA:2001.
[14]龚卫国,张伟民(Gong Weiguo,Zhang Weimin).基于有向通路的潮流跟踪新算法(A new power flow tracing method based on directed circuit)[J].电测与仪表(Eletrical Measurement&Instrumentation),2011,48(542):54-57.
[15]Tan X,Lie T T.Application of the shapley value on transmission cost allocation in the competitive power market environment[J].IEE Proceedings-Generation,Transmission and Distribution,2002,149(1):15-20.
[16]胡朝阳,韩祯祥(Hu Zhaoyang,Han Zhenxiang).基于Shapley值的网损分摊新方法(A new Shapley value based method for allocation of transmission losses)[J].电力系统自动化(Automation of Electric Power Systems),2003,27(7):32-35.
[17]胡福年,刘亚军,胥璐(Hu Funian,Liu Yajun,Xu Lu).基于同胚映射和微元分析的网损交叉项分摊方法研究(Research on the cross item allocation of power losses based on homeomorphism mapping and microelement methods)[J].电力系统保护与控制(Power System Protection and Control),2012,40(19):96-102.
[18]刘福斌,李扬,陈珩(Liu Fubin,Li Yang,Chen Heng).电力市场中按比例分配原则的证明及其推广(Proof and extension of proportional sharing principle in electricity market)[J].电网技术(Power System Technology),2001,25(5):25-29.
[19]Wu Z Q,Chen Z G.MVA power flow and loss analysis for electricity market[J].IEE Proceedings-Generation,Transmission and Distribution,2001,148(2):153-158.
[20]Bialek J W,Kattuman P A.Proportional sharing assumption in tracing methodology[J].IEE Proceedings-Generation,Transmission and Distribution,2004,151(4):526-532.
[21]钱颂迪.运筹学[M].北京:清华大学出版社,1990.
[22]柳柏濂.组合矩阵论[M].北京:科学出版社,1996.