Transmission Cost Allocation Based on Data Envelopment Analysis and Cooperative Game Method

Abstract Transmission cost allocation is a traditional but challenging problem in electric power industries. Many factors can affect the transmission cost allocation. But most traditional allocation methods focus on just one point. The Data Envelopment Analysis (DEA) approach has the characteristic of multi-criterion. It can overcome the drawbacks of traditional allocation methods. This paper combines the game theory and DEA approach to solve the problem of transmission cost allocation. In order to take various key points of power transmission into account, three criterions are proposed. These criterions reflect the effect of load demand, transmission line usage and marginal cost on transmission cost allocation. Nucleolus and Shapley value are used to solve the DEA game programming. For measuring the fairness of the transmission cost allocation methods, this paper proposes an algorithm to evaluate the satisfaction of users with the different allocation methods. The DEA game approach is applied to IEEE 14-bus system. The results which are compared with that of other three traditional allocation methods demonstrate the applicability of the proposed method.

[1]  I. Pérez-Arriaga,et al.  Marginal pricing of transmission services: a comparative analysis of network cost allocation methods , 2000 .

[2]  Wade D. Cook,et al.  Characterizing an equitable allocation of shared costs: A DEA approach , 1999, Eur. J. Oper. Res..

[3]  Y. Molina,et al.  Transmission Network Cost Allocation Based on Circuit Theory and the Aumann-Shapley Method , 2013, IEEE Transactions on Power Systems.

[4]  N. Hemachandra,et al.  Min-Max Fair Power Flow Tracing for Transmission System Usage Cost Allocation: A Large System Perspective , 2010, IEEE Transactions on Power Systems.

[5]  Liang Liang,et al.  Allocating a fixed cost based on data envelopment analysis and satisfaction degree , 2013 .

[6]  Manoj Fozdar,et al.  Transmission tariff allocation using combined MW-Mile & Postage stamp methods , 2011, ISGT2011-India.

[7]  Sebastián Lozano,et al.  Set-valued DEA production games , 2015 .

[8]  Narayana Prasad Padhy,et al.  Transmission Embedded Cost Allocation in Restructured Environment: A Game-theoretic Approach , 2009 .

[9]  A. K. David,et al.  Capacity-use and reliability based transmission embedded cost allocation with temporal considerations , 2003 .

[10]  Sebastián Lozano,et al.  Information sharing in DEA: A cooperative game theory approach , 2012, Eur. J. Oper. Res..

[11]  Furong Li,et al.  Long-Run Incremental Cost Pricing Based on Unused Capacity , 2007, IEEE Transactions on Power Systems.

[12]  Javier Contreras,et al.  Min–max long run marginal cost to allocate transmission tariffs for transmission users , 2013 .

[13]  Yongjun Li,et al.  A Shapley value index on the importance of variables in DEA models , 2010, Expert Syst. Appl..

[14]  Joe Zhu,et al.  Allocation of shared costs among decision making units: a DEA approach , 2005, Comput. Oper. Res..

[15]  Janusz Bialek,et al.  Topological generation and load distribution factors for supplement charge allocation in transmission open access , 1997 .

[16]  Jie Wu,et al.  Determination of the weights for the ultimate cross efficiency using Shapley value in cooperative game , 2009, Expert Syst. Appl..

[17]  Halim Yanikomeroglu,et al.  Optimal tradeoff between efficiency and Jain's fairness index in resource allocation , 2012, 2012 IEEE 23rd International Symposium on Personal, Indoor and Mobile Radio Communications - (PIMRC).

[18]  M. Pereira,et al.  An Aumann-Shapley Approach to Allocate Transmission Service Cost Among Network Users in Electricity Markets , 2007, IEEE Transactions on Power Systems.

[19]  H. Rudnick,et al.  Transmission Cost Allocation by Cooperative Games and Coalition Formation , 2002, IEEE Power Engineering Review.

[20]  I. Iyoda,et al.  Allocation of fixed transmission cost to wheeling transactions by cooperative game theory , 1995 .

[21]  Ruiyue Lin,et al.  Allocating fixed costs or resources and setting targets via data envelopment analysis , 2011, Appl. Math. Comput..

[22]  Yongjun Li,et al.  Proportional sharing and DEA in allocating the fixed cost , 2013, Appl. Math. Comput..

[23]  Felix F. Wu,et al.  Load flow tracing in power systems with circulating power , 2002 .

[24]  Ruiyue Lin,et al.  Allocating fixed costs and common revenue via data envelopment analysis , 2011, Appl. Math. Comput..

[25]  Kaoru Tone,et al.  Egoist's Dilemma: A DEA Game , 2003 .

[26]  John E. Beasley,et al.  Allocating fixed costs and resources via data envelopment analysis , 2003, Eur. J. Oper. Res..

[27]  Jiuping Pan,et al.  Review of usage-based transmission cost allocation methods under open access , 2000 .

[28]  Sebastián Lozano DEA production games , 2013, Eur. J. Oper. Res..

[29]  Joe Zhu,et al.  Fixed cost and resource allocation based on DEA cross-efficiency , 2014, Eur. J. Oper. Res..

[30]  M. Ilić,et al.  Toward regional transmission provision and its pricing in New England , 1997 .