考虑阻塞费用的电网输电成本分析
摘要
输电成本是制定输电电价的基础,只有弄清输电成本特性才能制定出科学合理的输电电价。输电成本中网损和阻塞费用只占输电总费用的很小部分,但它与电网实际运行状况紧密相连,对于提高输电定价的有效性以及引导输电用户合理利用输电资源具有重要作用。这部分费用与系统物理潮流密切相关,不能采用财务方法进行分摊,必须在掌握电网潮流分布的物理本质后再附加具体的经济原则来进行公平合理的分摊。
在确定的电力网络断面潮流下,形成电力网络的等值电路网络。通过经典电路理论进行严格的数学推导得到电源电流分布系数,此分布系数是一个无量纲的比例值,只由电力网络的运行(接线)方式以及电网中的设备参数决定。通过此分布系数和电源电流可直接确定各个电源在支路中的电流分布情况,进而提出了基于电源注入电流的潮流追踪方法,从物理层面上明确了功率的来源,通过理论和算例证明追踪结果完全符合电路基本定律。该方法无需将网络等值为无损网,完全基于经典电路理论,不需要作任何近似假设,反映了系统潮流的物理分布情况,而且该方法计算量小,容易具体应用。这是本文分析输电成本的物理基础,也是分摊阻塞费用时计算阻塞消除前后潮流变化量的依据。对于双边交易模式的潮流追踪,本文首先将双边交易功率等效成电流源,并将其引入节点电压方程,以此为基础推导出交易电流在网络中的分布系数,确定各交易的电流分布,进而可以明确支路上各交易的功率份额。
电力市场开放后,各市场成员公开、公平地使用电网资源,增加了电网阻塞的机会。阻塞管理不只是消除阻塞,还必须对阻塞费用进行分摊,促进输电网的有效使用,从而减少阻塞的发生。在阻塞费用分摊之前,本文先分析了阻塞产生的物理成因,从而确定了各市场成员对阻塞的责任。在此基础上提出了基于电源注入电流的潮流追踪的阻塞费用分摊方法。该方法分两步实现阻塞费用的分摊,首先利用边际微增混合费用法将阻塞费用分摊给各阻塞线路,以线路边际微增混合费用与总阻塞成本的比值作为惩罚因子,将阻塞费用在线路间分摊时产生的不平衡分量分摊到各阻塞线路中,实现盈亏平衡。然后根据阻塞消除前后各市场成员在阻塞线路上的功率变化量,把该线路的阻塞费用分摊给联营交易模式的各个电源、负荷和双边交易模式的各个交易。由于各线路上的潮流变化量即为各电源在线路上潮流变化量之和,该方法分摊阻塞费用过程中不会产生任何交易盈余,而且体现了“谁用谁付,多用多付”的原则。
以往的输电成本分析方法及输电定价方法都是利用网损去修正发电报价,结算时发电商用修正电价去结算,更多的关注可变成本的分摊,而系统中真正产生多少网损费用,每个电源产生的网损费用又是多少,很少有学者去重视。本文认为把网损费用隐含在修正电价中,既不利于系统运行机构了解系统的运行状态,也不利于各市场成员掌握自己的运行费用,应当在可变成本分摊的同时明确地计算出系统的可变成本和各电源的可变成本。因此,本文根据市场成员对阻塞的影响程度将阻塞费用分摊至各市场成员后,又将阻塞费用折算为每个电源的单位阻塞成本。基于支路费用守恒原则和节点费用守恒原则,计算出电源在网络中计及网损和阻塞费用的各节点单位成本,在此基础上建立了计及网损和阻塞费用的各电源及系统的可变成本模型,使用该模型可以计算出整个电网的可变成本以及每个电源向系统输送功率的可变成本。
Transimission cost is the basis of the electricity price. The scientific and reasonable electricity price is maden after the characters of transimission cost are be clarified. The congestion cost and transimission loss accounts for only a small portion of the total cost of transmission cost. But it is closely connected with power system power state, it has a significant role to improve the effectiveness of transmission pricing and to help transmission user rationally using transmission resources. This part of the costs closely relates to the physical power flow.It cann't be allocated using financial methods and it should be allocated according to the additional specific economic principles after the physical nature of the power flow distribution is clear.
In the premise of the determining power flow of the power system, this paper can get the equivalent circuit network of the power system. According to the classic circuit theories, by mathematical reasoning the current distribution coefficients of the power supply are obtained. The distribution coefficients are decisied only by the power network operation mode (wiring) as well as the network device parameter. The contribution of branches and loads current supplied by every power supply can be obtained through the distribution coefficients. Then based on the current supplied by every power supply this paper puts forward a power flow tracing method.The power flow distribution can be physically defined. In this paper, the method is proved by Kirchhoff's Current Law and power conservation theorem. Without any assuming, the network needn't be equivalent to a lossless network.The method is simple and has small calculations. This is the basis of the transimission cost analysis considering the congestion cost in this paper. In bilateral mode,the bilateral transactions are described as current supplies.Based on the nodes voltage equation, the current distribution coefficients of the transaction current are obtained.According to the coefficients the usage of the branches by the transactions can be obtained and the transimission loss can be allocated to the transactions.
In the open electricity market, the electricity business free biding increased congestion opportunity.Congestion management is not only to eliminate the congestion, but also the to allocate the congestion cost.So congestion management can promote the effective use of power system, thereby reduce the congestion opportunities. Before the allocation of congestion costs, this paper first analyzes the congestion resulting from the physical causes, which identifies the congestion responsibility of each market member. Based on the power flow tracing this paper puts forward a congestion cost allocation method. The method includes two steps to achieve congestion cost allocation. First the congestion cost is allocated to congested branches according to marginal mixed incremental cost. Because the power system is nonlinear, it exists the imbalance congestion cost while allocating the congestion cost. The imbalance congestion cost shall be allocated to the congestion branches according to the proportion of marginal mixed incremental cost. Then the power distribution of every branch and load provided by each power supply (transaction) is calculated based on the power flow trancing, considering the active power and reactive power. The power flow change of each power supply in each congested branch can be calculated, and the congestion cost of congested branch is allocated to each power supply (transaction) according to the power flow change. Because of the sum of all the lines power flow change of each power supply is equal to the lines power flow change,the congestion cost allocation method does not produce any trade surplus.And the allocation reflects the principle that is" who use who pay, use much and pay more".
The transmission losses are used to correcting quoted price and the variable costs alloction is focus in the other transimission cost allocation methods.But the reachers do not pay attention to how many are the loss costs and the power supply costs.It is the disadvantage of the acquaintance of the system operator to the system running and the understanding of the power supply to the transmission cost.In this paper, the variable costs of the system and the power supply are calculated and allocated. Therefore, after the congetion cost are allocated to the market members according to the influence for the congestion of each market member, each power unit congestion cost is also calculated. Based on branch cost conservation and node cost conservation, this paper calculates unit cost of the power supply at each node considering network loss and congestion cost. The variable cost model of the power system and every power supply considering network losses and congestion cost is established.The model can calculate the entire network variable cost and each power supply to the system output variable cost.
在确定的电力网络断面潮流下,形成电力网络的等值电路网络。通过经典电路理论进行严格的数学推导得到电源电流分布系数,此分布系数是一个无量纲的比例值,只由电力网络的运行(接线)方式以及电网中的设备参数决定。通过此分布系数和电源电流可直接确定各个电源在支路中的电流分布情况,进而提出了基于电源注入电流的潮流追踪方法,从物理层面上明确了功率的来源,通过理论和算例证明追踪结果完全符合电路基本定律。该方法无需将网络等值为无损网,完全基于经典电路理论,不需要作任何近似假设,反映了系统潮流的物理分布情况,而且该方法计算量小,容易具体应用。这是本文分析输电成本的物理基础,也是分摊阻塞费用时计算阻塞消除前后潮流变化量的依据。对于双边交易模式的潮流追踪,本文首先将双边交易功率等效成电流源,并将其引入节点电压方程,以此为基础推导出交易电流在网络中的分布系数,确定各交易的电流分布,进而可以明确支路上各交易的功率份额。
电力市场开放后,各市场成员公开、公平地使用电网资源,增加了电网阻塞的机会。阻塞管理不只是消除阻塞,还必须对阻塞费用进行分摊,促进输电网的有效使用,从而减少阻塞的发生。在阻塞费用分摊之前,本文先分析了阻塞产生的物理成因,从而确定了各市场成员对阻塞的责任。在此基础上提出了基于电源注入电流的潮流追踪的阻塞费用分摊方法。该方法分两步实现阻塞费用的分摊,首先利用边际微增混合费用法将阻塞费用分摊给各阻塞线路,以线路边际微增混合费用与总阻塞成本的比值作为惩罚因子,将阻塞费用在线路间分摊时产生的不平衡分量分摊到各阻塞线路中,实现盈亏平衡。然后根据阻塞消除前后各市场成员在阻塞线路上的功率变化量,把该线路的阻塞费用分摊给联营交易模式的各个电源、负荷和双边交易模式的各个交易。由于各线路上的潮流变化量即为各电源在线路上潮流变化量之和,该方法分摊阻塞费用过程中不会产生任何交易盈余,而且体现了“谁用谁付,多用多付”的原则。
以往的输电成本分析方法及输电定价方法都是利用网损去修正发电报价,结算时发电商用修正电价去结算,更多的关注可变成本的分摊,而系统中真正产生多少网损费用,每个电源产生的网损费用又是多少,很少有学者去重视。本文认为把网损费用隐含在修正电价中,既不利于系统运行机构了解系统的运行状态,也不利于各市场成员掌握自己的运行费用,应当在可变成本分摊的同时明确地计算出系统的可变成本和各电源的可变成本。因此,本文根据市场成员对阻塞的影响程度将阻塞费用分摊至各市场成员后,又将阻塞费用折算为每个电源的单位阻塞成本。基于支路费用守恒原则和节点费用守恒原则,计算出电源在网络中计及网损和阻塞费用的各节点单位成本,在此基础上建立了计及网损和阻塞费用的各电源及系统的可变成本模型,使用该模型可以计算出整个电网的可变成本以及每个电源向系统输送功率的可变成本。
Transimission cost is the basis of the electricity price. The scientific and reasonable electricity price is maden after the characters of transimission cost are be clarified. The congestion cost and transimission loss accounts for only a small portion of the total cost of transmission cost. But it is closely connected with power system power state, it has a significant role to improve the effectiveness of transmission pricing and to help transmission user rationally using transmission resources. This part of the costs closely relates to the physical power flow.It cann't be allocated using financial methods and it should be allocated according to the additional specific economic principles after the physical nature of the power flow distribution is clear.
In the premise of the determining power flow of the power system, this paper can get the equivalent circuit network of the power system. According to the classic circuit theories, by mathematical reasoning the current distribution coefficients of the power supply are obtained. The distribution coefficients are decisied only by the power network operation mode (wiring) as well as the network device parameter. The contribution of branches and loads current supplied by every power supply can be obtained through the distribution coefficients. Then based on the current supplied by every power supply this paper puts forward a power flow tracing method.The power flow distribution can be physically defined. In this paper, the method is proved by Kirchhoff's Current Law and power conservation theorem. Without any assuming, the network needn't be equivalent to a lossless network.The method is simple and has small calculations. This is the basis of the transimission cost analysis considering the congestion cost in this paper. In bilateral mode,the bilateral transactions are described as current supplies.Based on the nodes voltage equation, the current distribution coefficients of the transaction current are obtained.According to the coefficients the usage of the branches by the transactions can be obtained and the transimission loss can be allocated to the transactions.
In the open electricity market, the electricity business free biding increased congestion opportunity.Congestion management is not only to eliminate the congestion, but also the to allocate the congestion cost.So congestion management can promote the effective use of power system, thereby reduce the congestion opportunities. Before the allocation of congestion costs, this paper first analyzes the congestion resulting from the physical causes, which identifies the congestion responsibility of each market member. Based on the power flow tracing this paper puts forward a congestion cost allocation method. The method includes two steps to achieve congestion cost allocation. First the congestion cost is allocated to congested branches according to marginal mixed incremental cost. Because the power system is nonlinear, it exists the imbalance congestion cost while allocating the congestion cost. The imbalance congestion cost shall be allocated to the congestion branches according to the proportion of marginal mixed incremental cost. Then the power distribution of every branch and load provided by each power supply (transaction) is calculated based on the power flow trancing, considering the active power and reactive power. The power flow change of each power supply in each congested branch can be calculated, and the congestion cost of congested branch is allocated to each power supply (transaction) according to the power flow change. Because of the sum of all the lines power flow change of each power supply is equal to the lines power flow change,the congestion cost allocation method does not produce any trade surplus.And the allocation reflects the principle that is" who use who pay, use much and pay more".
The transmission losses are used to correcting quoted price and the variable costs alloction is focus in the other transimission cost allocation methods.But the reachers do not pay attention to how many are the loss costs and the power supply costs.It is the disadvantage of the acquaintance of the system operator to the system running and the understanding of the power supply to the transmission cost.In this paper, the variable costs of the system and the power supply are calculated and allocated. Therefore, after the congetion cost are allocated to the market members according to the influence for the congestion of each market member, each power unit congestion cost is also calculated. Based on branch cost conservation and node cost conservation, this paper calculates unit cost of the power supply at each node considering network loss and congestion cost. The variable cost model of the power system and every power supply considering network losses and congestion cost is established.The model can calculate the entire network variable cost and each power supply to the system output variable cost.
引文
[1]魏萍,文福拴,倪以信,等.三峡电力市场的输电定价与阻塞管理[J].电力系统自动化,2002,26(1)：7-13
[2]张永平,焦连伟,倪以信,等.区域电力市场双边交易阻塞管理实用计算方法[J].电力系统自动化,2003,27(14)：18-22
[3]王功涛,丁鹏,刘霞,等.东北区域电力市场月电量计划的分区安全校核[J].电网技术,2004,28(10)：18-21
[4]Ilic M, Faliana F, Fink L. Power systems restructuring engineering and economics[M]. Kluwer Academic Publisher,1998
[5]魏立明.输电损耗分摊理论与应用研究[D].大连：大连理工大学,2004
[6]于尔铿,韩放,谢开,等.电力市场[M].北京：中国电力出版社,1998
[7]张粒子,郑华,程瑜,等.区域电力市场电价机制[M].北京：中国电力出版社,2004
[8]Rundnick H,Varela R, Hogan W. Evaluation of alternatives for power system coordination and pooling in a competitive environment. IEEE Transactions on Power Systems,1997,12(2):605-613
[9]Lamoureux M A. Evaluation of electric utility restructuring in the UK. IEEE Power Engineering Review,2001,21(6):6-9
[10]宋永华,孙锦鑫.英国电力市场面临新的改革——现行模式比较及其问题.电网技术,1999,23(7)：55-60
[11]Kumar J, Sheble G. Framework for Energy Brokerage System with Reserve Margin and Transmission Losses. IEEE Transactions on Power Systems,1996, 11(4):1763-1769
[12]宋永华,孙锦鑫.英国将推出电力市场新模式.电网技术,1999,23(8)：69-73
[13]王兴,宋永华,徐贵光.英国新电力市场模式中的平衡调度机制.电力系统自动化,2000,24(12)：4-8
[14]Mensah-Bonsu C, Oren S. California Electricity Market Crisis:Causes, Remedies, and Prevention. IEEE Power Engineering Review,2002,22(8): 4-5
[15]文福栓,David A K.加州电力市场失败的教训.电力系统自动化,2001,25(5)：1-5
[16]Hartman R S, Tabors R D. Optimal operating arrangements in the restructured world:economic issues. Energy Policy,1998,26(2):75-83
[17]Wang X, Song Y H, Lu Q. Primal-dual Interior Point Linear Programming Optimal Power Flow for Real-time Congestion Management[C]. IEEE Power Engineering Society Winter Meeting,2000,1643-1649
[18]张森林,张尧,陈皓勇,等.水电参与电力市场竞价的关键问题研究[J].电网技术,2010,34(1)：107-117
[19]艾芊,章健.基于多代理系统的微电网竞价优化策略[J].电网技术,2010,34(1)：46-52
[20]刘莉,江辉,彭建春,等.基于多标度分形理论的发电商竞价策略[J].电网技术,2010,34(3)：129-135
[21]周明,李科阳,李庚银,等.兼顾竞价和奖惩机制的节能发电调度方法[J].电网技术,2009,33(16)：70-75
[22]尚金成.兼顾市场机制的主要节能发电调度模式比较研究[J].电网技术,2008,32(4)：78-85
[23]尚金成,黄永皓,夏清,等.电力市场理论研究与应用[M].北京：中国电力出版社,2002,8
[24]王海霞,李卫东,陶家琪,等.东北区域电力市场发电报价网损修正方法[J].电网技术,2005,29(13)：73-79
[25]陈永权,肖湘宁,宋永华.考虑报价经验的发电商竞价策略模型[J].中国电机工程学报,2009,29(25)：71-77
[26]曾亮,齐翔,陈迎春.发电商的模仿学习竞价策略[J].2008,28(31)：74-80.
[27]王高琴,沈炯,刘西陲.基于市场影响力评估的发电企业分类竞价决策[J].电力系统自动化,2008,32(5)：47-53
[28]王成文,王绵斌,谭忠富,等.上网电价服从布朗运动条件下的销售电价计算模型[J].电网技术,2008,32(9)：21-26
[29]丁晓莺,王锡凡.考虑输电网损耗的节点电价计算方法[J].电力系统自动化,2005,29(22)：14-18
[30]常乃超,郭志忠.网损分摊问题的思考[J].中国电机工程学报,2003,23(4)：43-47
[31]汤振飞,唐国庆,于尔铿,等.电力市场输电定价[J].中国电机工程学报,2001,21(10)：91-95
[32]Caramanis M C, Bohn R E, Schweppe F C. The cost of wheeling and optimal wheeling rate[J]. IEEE Transaction on Power Systems,1989,4(1):63-73
[33]Merril H M, Erickson B W. Wheeling rates based on marginal-cost theory[J]. IEEE Transaction on Power Systems,1989,4(4):1445-1451
[34]Perez-Arriaga I J, Rubio F J, Puerta J, etc. Marginal pricing of transmission service:analysis of cost recovery[J]. IEEE Transaction on Power Systems,1995, 10(1):546-553
[35]Rudniek H, R Palma, J E Femandez.Magrinal pricing and supplement cost allocation in transmission open access[J]. IEEE Transaction on Power Systems, 1995,10(5):1125-1142
[36]Happ H H. Cost of wheeling methodologies[J]. IEEE transaction on Power Systems,1994,9(1):147-156
[37]Bialek J. Allocation of transmission supplementary charge to real and reactive loads[J]. IEEE Transaction on Power Systems,1998,13(3):749-754
[38]刘皓明,吴军基,邹云.电力市场环境下网损分摊方法研究[J].南京理工大学学报,2004,28(1)：38-41
[39]Tan X, Lie T. Application of the shapley value on transmission cost allocation in the competitive power market environment[J]. IEE Proceedings-Gene, Transm & Distrib,2002,149(1):15-20
[40]Tan X, Lie T. Allocation of transmission loss cost using cooperative game theory in the context of open transmission accession[J]. IEEE Power Engineering Society Winter Meeting, Columbus(USA):2001,3:1215-1219
[41]胡朝阳,韩祯祥.基于Shapley值的网损分摊新方法[J].电力系统自动化,2003,27(7)：32-35
[42]Bialek J. Tracing the flow of electricity[J]. IEE Proceedings:Generation, Transmission and Distribution 1996,143(4):313-320
[43]孙洪波,常宝波,周家启.网损分摊决策研究[J].电力系统自动化,2002,26(17)：24-26
[44]Kirschen D S, Allan R N, Strbac G. Contributions of individual generators to loads and flows[J]. IEEE Transactions on Power Systems,1997,12(1):52-60
[45]Bialek J. Topological generation and load distribution factors for supplement charge allocation transmission open access[J]. IEEE Transactions on Power Systems,1997,12(3):1185-1193
[46]Shu T, George Gross. Transmission loss compensation in multiple transaction networks[J]. IEEE Transactions on Power Systems,2000,15(3):909-915
[47]Kirschen D S, Strbac G. Tracing active and reactive power between generators and loads using real and imaginary currents[J]. IEEE Transactions on Power Systems,1999,14(4):1312-1319
[48]王锡凡,王秀丽.电流追踪问题[J].中国科学(E辑),2000,30(3)：265-270
[49]Bialek J. Topological generation and load distribution factors for supplementary charge allocation in transmission open access[J]. IEEE Transactions on Power Systems,1997,12(3):1185-1193
[50]李春燕,俞集辉,谢开贵,等.共轭电流全损耗功率分量定义及其叠加原理[J].电工技术学报,2008,23(4)：104-111
[51]Gedra T W. On transmission congestion and pricing[J]. IEEE Transactions on Power Systems,1999,14(1):241-248
[52]Harry Singh, Shangyou Hao, Alex Papalexopoulos. Transmission congestion management in competitive electricity markets[J]. IEEE Transactions on Power Systems,1998,13(2):672-680
[53]张哲,江长明,许晓菲,等.基于节点电价的阻塞管理理论在华北电网的应用[J].电网技术,2008,32(6)：81-86
[54]潘敬东,谢开.节点边际电价的优化原理[J].电力系统自动化,2006,30(22)：38-42
[55]肖宏飞,李卫东,魏立明.基于阻塞支路潮流变化量的阻塞成本分摊[J].中国电机工程学报,2004,24(2)：83-87
[56]杨洪明,段献忠.双边交易基于Aumann-Shapley值的阻塞成本分摊方法研究[J].中国电机工程学报,2002,22(11)：59-63
[57]Bakirtzis A G, Shapley A. Transmission congestion pricing[J]. IEEE Power Engineering Review,2001,3:67-69
[58]贺辉,徐政,黄莹,等.基于合作博弈的阻塞成本分配[J].华东电力,2004,32(3)：27-30
[59]杨洪明,段献忠.双边交易模式下基于Aumann-Shapley值的阻塞费用分摊方法研究[J].中国电机工程学报,2002,22(11)：59-63
[60]肖宏飞,李卫东.联营交易模式下的阻塞成本分摊[J].电网技术,2009,33(9)：84-89
[61]IupingP, TekluY, Ranman S, etc. Review of Usage-based Transmission Cost Allocation Methods under Open Access[J]. IEEE Trans On Power Systems,2000, 15(4):1218-1224
[62]Ang R S, David A K. An Integrated Congestion Management Strategy for Real-time System Operation[J]. IEEE Trans. On Power Systems,1997,12(1): 52-54
[63]Bialek J W, Germond A, Cherkaoui R. Improving NERC Transmission Loading Relief Procedures[J]. The Electricity Journal,2000,13(5):11-19
[64]陈锐,彭建春,鲁栗等.基于Shapley值的双边交易阻塞成本分摊[J].浙江电力,2005,12(2)：10-14
[65]杨洪明,段献忠.双边交易模式下基于Aumann-Shapley值的阻塞成本分摊方法研究[J].中国电机工程学报,2002,22(11)：59-63
[66]付慧颖,周渝慧,金鑫.输电阻塞机会成本及风险规避机制[J].东北电力技术,2008,5：35-38
[67]Baran M E, Banunarryanan V, Garren K E. Equitable allocation of congestion relief cost to transactions[J]. IEEE Transactions on Power Systems,2000,15(2): 579-585
[68]Rudnick H, Palma R, Fernandez J E. Marginal pricing and supplement cost allocation in transmission open access[J]. IEEE Transactions on Power Systems, 1995,10(2):1125-1132
[69]Shirmohammadi D, Gribik P R, Law E T K, et al. Evaluation of transmission network capacity use for wheeling transactions[J]. IEEE Transactions on Power Systems,1989,4(4):1405-1413
[70]Fradi A, Brignone S, Wollenberg B E. Calculation of energy transaction allocation factors[J]. IEEE Transactions on Power Systems,2001,16(2):266-272
[71]Yang J, Anderson M D. Tracing the flow of power in transmission networks for use-of-transmission-system charges and congestion management[C]. IEEE Power Engineering Society 1999 Winter Meeting,1999,1:399-405
[72]Baran M E, Banunarryanan V, Garren K E. A transaction assessment method for allocation of transmission services[J]. IEEE Transactions on Power Systems, 1999,14(3):920-928
[73]肖宏飞,李卫东.基于潮流变化量的解析阻塞成本分配[J].中国电机工程学报,2007,27(4)：72-78
[74]Happ H H. Cost of wheeling methodologies[J]. IEEE Transactions on Power Systems,1994,9(1):147-156
[75]Ilic M. Toward regional transmission provision and its pricing in New England[J]. Utility Policy,1997,6(3):245-256
[76]刘洪波,穆钢,刘明,等.电力市场下基于会计学原理的输电费计算方法比较[J].电力自动化设备,2005,25(11)：11-14
[77]Shirmohammadi D, Gribik P R, Law E T K, et al. Evaluation of transmission network capacity use for wheeling transactions[J]. IEEE Transactions on Power Systems,1989,4(4):1405-1413
[78]Shirmohammadi D, Filho X V, Gorenstin B, et al. Some fundamental technical concepts about cost based transmissin pricing[J]. IEEE Transactions on Power Systems,1990,11(2):1002-1008
[79]Galiana F D, Conejo J A, Kockar I. Incremental Transmission Loss Allocation Under Pool Dispatch[J]. IEEE Trans on Power Systems,2002,17(1):226-331
[80]伍期刚,程浩忠,刘梓洪.边际网损系数法中的网损分摊调整方法[J].电力系统及其自动化学报,2005,17(3)：78-81
[81]言茂松,辛洁晴.在电力市场环境下网嵌入的边际成本输电定价新方法[J].中国电机工程学报,1998,18(2)：111-116
[82]付承桂,韩学山,孟祥星,等.边际成本定价下的成本补偿[J].山东大学学报(工学版),2005,35(1)：42-46
[83]任震,吴国玥,黄雯莹.计算和分配输电成本的一种新方法[J].电力自动化设备,2002,24(2)：14-15
[84]Richard D, Tabors. Transmission system management and pricing:New Paradigms and International Comparisons[J]. IEEE Trans, on Power Systems, 1994,9(1):206-215
[85]张瑞友,韩水,张近朱,等.PJM节点边际电价计算方法及其应用[J].东北大学学报(自然科学版),2005,26(11)：1033-1035
[86]Sood Y R, Padhy N P, Gupta H O. Deregulated model and locational marginal pricing[J]. Electric Power Systems Research,2007,77(5-6):574-582
[87]宋昆,黎平,刘洪波,等.基于费用流法的输电阻塞费用计算及分摊[J].东北电力学院学报,2005,25(1)：54-58
[88]穆刚,王华伟,韩学山.基于费用流法的输电网节点电力成本分析[J].中国电机工程学报,2002,22(12)：36-40
[89]穆钢,曹建军,刘洪波.基于费用流模型的输电网网损分摊方法[J].电网技术,2005,29(13)：36-39
[90]亚当·斯密.国富论[M].北京：华夏出版社,2005
[91]保罗·海恩.经济学的思维方式[M].北京：世界图书出版社,2011
[92]冯林桥,许文玉,邓昌安,等.共轭电流全损耗功率分量定义及其叠加原理[J].中国电机工程学报.2002,22(5)：65-69.
[93]乔振宇,陈学允,等.功率分解潮流计算方法[J].中国电机工程学报,2001,21(1)：77-79.
[94]鲍海,马千.电网线损物理分布机理[J].中国电机工程学报,2005,25(21)：82-86
[95]李伟.基于分量理论的功率分解新方法研究[D].北京：华北电力大学,2007
[96]杨洪明.电力市场的阻塞管理和动态行为研究[D].华中科技大学,2003
[97]Baran M E, Banunarayanan V, Garren K E. Equitable Allocation of Congestion Relief Cost to Transaction[J]. IEEE Trans on Power Systems,2000,15(2): 579-585
[98]张瑞友,韩水,张近朱,等.一种点对点阻塞电价计算方法[J].电力自动化 设备,2007,27(6)：13-16
[99]汤奕,袁飞,周霞,等.基于电气剖分方法的阻塞费用分摊[J].电力系统自动化,2007,31(19)：14-17
[100]Bakirtzis A G. Aumann-shapley transmission congestion pricing[J]. IEEE Power Engineering Review,2001,21(2):67-69
[101]许林,余贻鑫,刘怀东,等.双侧输电阻塞管理与拟Aumann-Shapley定价[J].中国电机工程学报,2002,22(10)：56-60
[102]Rau N S. Transmission loss and congestion cost allocation-an approach based on responsibility [J]. IEEE Transactions on Power Systems,2000,15(4): 1401-1409
[103]Schweppe F C, Caramanis M C Tabors R D et al. Spot price of electricity[M]. Kluwer Academic Publishers,1988
[104]David A K. Dispatch methodologies for open access transmission systems[J]. IEEE Trans on Power Systems,1998,13(2):46-53
[105]Fang R S, David A K. Optimal dispatch under transmission contracts[J]. IEEE Transactions on Power Systems,1999,14(2):132-131
[106]谢松.电力市场下阻塞费用分摊方法研究[D].重庆：重庆大学,2005
[107]R S Fang, A K David. Transmission Congestion Management in an Electricity Market[J]. IEEE Transactions on Power Systems,1999,14(3):877-883
[108]Galiana F D, Ilic M. A mathematical framework for the analysis and management of power transactions under open access[J]. IEEE Transactions on Power Systems,1998,13(2):681-687.
[109]Galiana F D, Kockarl, Franco P C. Combined pool/bilateral dispatch-Part I: performance of trading strategies[J]. IEEE Transactions on Power Systems, 2002,17(11):92-99
[110]刘路登,张粒子,杨静.电力市场联营-双边交易模式下的阻塞费用分摊[J].电网技术,2006,30(15)：50-53
[111]杨右虹,杨宗权,潘永贺,等.联营-双边混合交易模式下的阻塞费用分摊[J].电力系统保护与控制,2009,37(11)：50-53
[112]陈星莺,林其友.应用交易——损失矩阵分摊不同运营模式下的输电损失[J].中国电机工程学报,2006,26(18)：34-40
[2]张永平,焦连伟,倪以信,等.区域电力市场双边交易阻塞管理实用计算方法[J].电力系统自动化,2003,27(14)：18-22
[3]王功涛,丁鹏,刘霞,等.东北区域电力市场月电量计划的分区安全校核[J].电网技术,2004,28(10)：18-21
[4]Ilic M, Faliana F, Fink L. Power systems restructuring engineering and economics[M]. Kluwer Academic Publisher,1998
[5]魏立明.输电损耗分摊理论与应用研究[D].大连：大连理工大学,2004
[6]于尔铿,韩放,谢开,等.电力市场[M].北京：中国电力出版社,1998
[7]张粒子,郑华,程瑜,等.区域电力市场电价机制[M].北京：中国电力出版社,2004
[8]Rundnick H,Varela R, Hogan W. Evaluation of alternatives for power system coordination and pooling in a competitive environment. IEEE Transactions on Power Systems,1997,12(2):605-613
[9]Lamoureux M A. Evaluation of electric utility restructuring in the UK. IEEE Power Engineering Review,2001,21(6):6-9
[10]宋永华,孙锦鑫.英国电力市场面临新的改革——现行模式比较及其问题.电网技术,1999,23(7)：55-60
[11]Kumar J, Sheble G. Framework for Energy Brokerage System with Reserve Margin and Transmission Losses. IEEE Transactions on Power Systems,1996, 11(4):1763-1769
[12]宋永华,孙锦鑫.英国将推出电力市场新模式.电网技术,1999,23(8)：69-73
[13]王兴,宋永华,徐贵光.英国新电力市场模式中的平衡调度机制.电力系统自动化,2000,24(12)：4-8
[14]Mensah-Bonsu C, Oren S. California Electricity Market Crisis:Causes, Remedies, and Prevention. IEEE Power Engineering Review,2002,22(8): 4-5
[15]文福栓,David A K.加州电力市场失败的教训.电力系统自动化,2001,25(5)：1-5
[16]Hartman R S, Tabors R D. Optimal operating arrangements in the restructured world:economic issues. Energy Policy,1998,26(2):75-83
[17]Wang X, Song Y H, Lu Q. Primal-dual Interior Point Linear Programming Optimal Power Flow for Real-time Congestion Management[C]. IEEE Power Engineering Society Winter Meeting,2000,1643-1649
[18]张森林,张尧,陈皓勇,等.水电参与电力市场竞价的关键问题研究[J].电网技术,2010,34(1)：107-117
[19]艾芊,章健.基于多代理系统的微电网竞价优化策略[J].电网技术,2010,34(1)：46-52
[20]刘莉,江辉,彭建春,等.基于多标度分形理论的发电商竞价策略[J].电网技术,2010,34(3)：129-135
[21]周明,李科阳,李庚银,等.兼顾竞价和奖惩机制的节能发电调度方法[J].电网技术,2009,33(16)：70-75
[22]尚金成.兼顾市场机制的主要节能发电调度模式比较研究[J].电网技术,2008,32(4)：78-85
[23]尚金成,黄永皓,夏清,等.电力市场理论研究与应用[M].北京：中国电力出版社,2002,8
[24]王海霞,李卫东,陶家琪,等.东北区域电力市场发电报价网损修正方法[J].电网技术,2005,29(13)：73-79
[25]陈永权,肖湘宁,宋永华.考虑报价经验的发电商竞价策略模型[J].中国电机工程学报,2009,29(25)：71-77
[26]曾亮,齐翔,陈迎春.发电商的模仿学习竞价策略[J].2008,28(31)：74-80.
[27]王高琴,沈炯,刘西陲.基于市场影响力评估的发电企业分类竞价决策[J].电力系统自动化,2008,32(5)：47-53
[28]王成文,王绵斌,谭忠富,等.上网电价服从布朗运动条件下的销售电价计算模型[J].电网技术,2008,32(9)：21-26
[29]丁晓莺,王锡凡.考虑输电网损耗的节点电价计算方法[J].电力系统自动化,2005,29(22)：14-18
[30]常乃超,郭志忠.网损分摊问题的思考[J].中国电机工程学报,2003,23(4)：43-47
[31]汤振飞,唐国庆,于尔铿,等.电力市场输电定价[J].中国电机工程学报,2001,21(10)：91-95
[32]Caramanis M C, Bohn R E, Schweppe F C. The cost of wheeling and optimal wheeling rate[J]. IEEE Transaction on Power Systems,1989,4(1):63-73
[33]Merril H M, Erickson B W. Wheeling rates based on marginal-cost theory[J]. IEEE Transaction on Power Systems,1989,4(4):1445-1451
[34]Perez-Arriaga I J, Rubio F J, Puerta J, etc. Marginal pricing of transmission service:analysis of cost recovery[J]. IEEE Transaction on Power Systems,1995, 10(1):546-553
[35]Rudniek H, R Palma, J E Femandez.Magrinal pricing and supplement cost allocation in transmission open access[J]. IEEE Transaction on Power Systems, 1995,10(5):1125-1142
[36]Happ H H. Cost of wheeling methodologies[J]. IEEE transaction on Power Systems,1994,9(1):147-156
[37]Bialek J. Allocation of transmission supplementary charge to real and reactive loads[J]. IEEE Transaction on Power Systems,1998,13(3):749-754
[38]刘皓明,吴军基,邹云.电力市场环境下网损分摊方法研究[J].南京理工大学学报,2004,28(1)：38-41
[39]Tan X, Lie T. Application of the shapley value on transmission cost allocation in the competitive power market environment[J]. IEE Proceedings-Gene, Transm & Distrib,2002,149(1):15-20
[40]Tan X, Lie T. Allocation of transmission loss cost using cooperative game theory in the context of open transmission accession[J]. IEEE Power Engineering Society Winter Meeting, Columbus(USA):2001,3:1215-1219
[41]胡朝阳,韩祯祥.基于Shapley值的网损分摊新方法[J].电力系统自动化,2003,27(7)：32-35
[42]Bialek J. Tracing the flow of electricity[J]. IEE Proceedings:Generation, Transmission and Distribution 1996,143(4):313-320
[43]孙洪波,常宝波,周家启.网损分摊决策研究[J].电力系统自动化,2002,26(17)：24-26
[44]Kirschen D S, Allan R N, Strbac G. Contributions of individual generators to loads and flows[J]. IEEE Transactions on Power Systems,1997,12(1):52-60
[45]Bialek J. Topological generation and load distribution factors for supplement charge allocation transmission open access[J]. IEEE Transactions on Power Systems,1997,12(3):1185-1193
[46]Shu T, George Gross. Transmission loss compensation in multiple transaction networks[J]. IEEE Transactions on Power Systems,2000,15(3):909-915
[47]Kirschen D S, Strbac G. Tracing active and reactive power between generators and loads using real and imaginary currents[J]. IEEE Transactions on Power Systems,1999,14(4):1312-1319
[48]王锡凡,王秀丽.电流追踪问题[J].中国科学(E辑),2000,30(3)：265-270
[49]Bialek J. Topological generation and load distribution factors for supplementary charge allocation in transmission open access[J]. IEEE Transactions on Power Systems,1997,12(3):1185-1193
[50]李春燕,俞集辉,谢开贵,等.共轭电流全损耗功率分量定义及其叠加原理[J].电工技术学报,2008,23(4)：104-111
[51]Gedra T W. On transmission congestion and pricing[J]. IEEE Transactions on Power Systems,1999,14(1):241-248
[52]Harry Singh, Shangyou Hao, Alex Papalexopoulos. Transmission congestion management in competitive electricity markets[J]. IEEE Transactions on Power Systems,1998,13(2):672-680
[53]张哲,江长明,许晓菲,等.基于节点电价的阻塞管理理论在华北电网的应用[J].电网技术,2008,32(6)：81-86
[54]潘敬东,谢开.节点边际电价的优化原理[J].电力系统自动化,2006,30(22)：38-42
[55]肖宏飞,李卫东,魏立明.基于阻塞支路潮流变化量的阻塞成本分摊[J].中国电机工程学报,2004,24(2)：83-87
[56]杨洪明,段献忠.双边交易基于Aumann-Shapley值的阻塞成本分摊方法研究[J].中国电机工程学报,2002,22(11)：59-63
[57]Bakirtzis A G, Shapley A. Transmission congestion pricing[J]. IEEE Power Engineering Review,2001,3:67-69
[58]贺辉,徐政,黄莹,等.基于合作博弈的阻塞成本分配[J].华东电力,2004,32(3)：27-30
[59]杨洪明,段献忠.双边交易模式下基于Aumann-Shapley值的阻塞费用分摊方法研究[J].中国电机工程学报,2002,22(11)：59-63
[60]肖宏飞,李卫东.联营交易模式下的阻塞成本分摊[J].电网技术,2009,33(9)：84-89
[61]IupingP, TekluY, Ranman S, etc. Review of Usage-based Transmission Cost Allocation Methods under Open Access[J]. IEEE Trans On Power Systems,2000, 15(4):1218-1224
[62]Ang R S, David A K. An Integrated Congestion Management Strategy for Real-time System Operation[J]. IEEE Trans. On Power Systems,1997,12(1): 52-54
[63]Bialek J W, Germond A, Cherkaoui R. Improving NERC Transmission Loading Relief Procedures[J]. The Electricity Journal,2000,13(5):11-19
[64]陈锐,彭建春,鲁栗等.基于Shapley值的双边交易阻塞成本分摊[J].浙江电力,2005,12(2)：10-14
[65]杨洪明,段献忠.双边交易模式下基于Aumann-Shapley值的阻塞成本分摊方法研究[J].中国电机工程学报,2002,22(11)：59-63
[66]付慧颖,周渝慧,金鑫.输电阻塞机会成本及风险规避机制[J].东北电力技术,2008,5：35-38
[67]Baran M E, Banunarryanan V, Garren K E. Equitable allocation of congestion relief cost to transactions[J]. IEEE Transactions on Power Systems,2000,15(2): 579-585
[68]Rudnick H, Palma R, Fernandez J E. Marginal pricing and supplement cost allocation in transmission open access[J]. IEEE Transactions on Power Systems, 1995,10(2):1125-1132
[69]Shirmohammadi D, Gribik P R, Law E T K, et al. Evaluation of transmission network capacity use for wheeling transactions[J]. IEEE Transactions on Power Systems,1989,4(4):1405-1413
[70]Fradi A, Brignone S, Wollenberg B E. Calculation of energy transaction allocation factors[J]. IEEE Transactions on Power Systems,2001,16(2):266-272
[71]Yang J, Anderson M D. Tracing the flow of power in transmission networks for use-of-transmission-system charges and congestion management[C]. IEEE Power Engineering Society 1999 Winter Meeting,1999,1:399-405
[72]Baran M E, Banunarryanan V, Garren K E. A transaction assessment method for allocation of transmission services[J]. IEEE Transactions on Power Systems, 1999,14(3):920-928
[73]肖宏飞,李卫东.基于潮流变化量的解析阻塞成本分配[J].中国电机工程学报,2007,27(4)：72-78
[74]Happ H H. Cost of wheeling methodologies[J]. IEEE Transactions on Power Systems,1994,9(1):147-156
[75]Ilic M. Toward regional transmission provision and its pricing in New England[J]. Utility Policy,1997,6(3):245-256
[76]刘洪波,穆钢,刘明,等.电力市场下基于会计学原理的输电费计算方法比较[J].电力自动化设备,2005,25(11)：11-14
[77]Shirmohammadi D, Gribik P R, Law E T K, et al. Evaluation of transmission network capacity use for wheeling transactions[J]. IEEE Transactions on Power Systems,1989,4(4):1405-1413
[78]Shirmohammadi D, Filho X V, Gorenstin B, et al. Some fundamental technical concepts about cost based transmissin pricing[J]. IEEE Transactions on Power Systems,1990,11(2):1002-1008
[79]Galiana F D, Conejo J A, Kockar I. Incremental Transmission Loss Allocation Under Pool Dispatch[J]. IEEE Trans on Power Systems,2002,17(1):226-331
[80]伍期刚,程浩忠,刘梓洪.边际网损系数法中的网损分摊调整方法[J].电力系统及其自动化学报,2005,17(3)：78-81
[81]言茂松,辛洁晴.在电力市场环境下网嵌入的边际成本输电定价新方法[J].中国电机工程学报,1998,18(2)：111-116
[82]付承桂,韩学山,孟祥星,等.边际成本定价下的成本补偿[J].山东大学学报(工学版),2005,35(1)：42-46
[83]任震,吴国玥,黄雯莹.计算和分配输电成本的一种新方法[J].电力自动化设备,2002,24(2)：14-15
[84]Richard D, Tabors. Transmission system management and pricing:New Paradigms and International Comparisons[J]. IEEE Trans, on Power Systems, 1994,9(1):206-215
[85]张瑞友,韩水,张近朱,等.PJM节点边际电价计算方法及其应用[J].东北大学学报(自然科学版),2005,26(11)：1033-1035
[86]Sood Y R, Padhy N P, Gupta H O. Deregulated model and locational marginal pricing[J]. Electric Power Systems Research,2007,77(5-6):574-582
[87]宋昆,黎平,刘洪波,等.基于费用流法的输电阻塞费用计算及分摊[J].东北电力学院学报,2005,25(1)：54-58
[88]穆刚,王华伟,韩学山.基于费用流法的输电网节点电力成本分析[J].中国电机工程学报,2002,22(12)：36-40
[89]穆钢,曹建军,刘洪波.基于费用流模型的输电网网损分摊方法[J].电网技术,2005,29(13)：36-39
[90]亚当·斯密.国富论[M].北京：华夏出版社,2005
[91]保罗·海恩.经济学的思维方式[M].北京：世界图书出版社,2011
[92]冯林桥,许文玉,邓昌安,等.共轭电流全损耗功率分量定义及其叠加原理[J].中国电机工程学报.2002,22(5)：65-69.
[93]乔振宇,陈学允,等.功率分解潮流计算方法[J].中国电机工程学报,2001,21(1)：77-79.
[94]鲍海,马千.电网线损物理分布机理[J].中国电机工程学报,2005,25(21)：82-86
[95]李伟.基于分量理论的功率分解新方法研究[D].北京：华北电力大学,2007
[96]杨洪明.电力市场的阻塞管理和动态行为研究[D].华中科技大学,2003
[97]Baran M E, Banunarayanan V, Garren K E. Equitable Allocation of Congestion Relief Cost to Transaction[J]. IEEE Trans on Power Systems,2000,15(2): 579-585
[98]张瑞友,韩水,张近朱,等.一种点对点阻塞电价计算方法[J].电力自动化 设备,2007,27(6)：13-16
[99]汤奕,袁飞,周霞,等.基于电气剖分方法的阻塞费用分摊[J].电力系统自动化,2007,31(19)：14-17
[100]Bakirtzis A G. Aumann-shapley transmission congestion pricing[J]. IEEE Power Engineering Review,2001,21(2):67-69
[101]许林,余贻鑫,刘怀东,等.双侧输电阻塞管理与拟Aumann-Shapley定价[J].中国电机工程学报,2002,22(10)：56-60
[102]Rau N S. Transmission loss and congestion cost allocation-an approach based on responsibility [J]. IEEE Transactions on Power Systems,2000,15(4): 1401-1409
[103]Schweppe F C, Caramanis M C Tabors R D et al. Spot price of electricity[M]. Kluwer Academic Publishers,1988
[104]David A K. Dispatch methodologies for open access transmission systems[J]. IEEE Trans on Power Systems,1998,13(2):46-53
[105]Fang R S, David A K. Optimal dispatch under transmission contracts[J]. IEEE Transactions on Power Systems,1999,14(2):132-131
[106]谢松.电力市场下阻塞费用分摊方法研究[D].重庆：重庆大学,2005
[107]R S Fang, A K David. Transmission Congestion Management in an Electricity Market[J]. IEEE Transactions on Power Systems,1999,14(3):877-883
[108]Galiana F D, Ilic M. A mathematical framework for the analysis and management of power transactions under open access[J]. IEEE Transactions on Power Systems,1998,13(2):681-687.
[109]Galiana F D, Kockarl, Franco P C. Combined pool/bilateral dispatch-Part I: performance of trading strategies[J]. IEEE Transactions on Power Systems, 2002,17(11):92-99
[110]刘路登,张粒子,杨静.电力市场联营-双边交易模式下的阻塞费用分摊[J].电网技术,2006,30(15)：50-53
[111]杨右虹,杨宗权,潘永贺,等.联营-双边混合交易模式下的阻塞费用分摊[J].电力系统保护与控制,2009,37(11)：50-53
[112]陈星莺,林其友.应用交易——损失矩阵分摊不同运营模式下的输电损失[J].中国电机工程学报,2006,26(18)：34-40