A directional-based branches current method for transmission loss allocation in the pool-based electricity market

Document Type : Research Paper


1 Faculty of Engineering, Ilam University, Ilam, Iran

2 Faculty of ECE, University of Tehran, Tehran, Iran


This paper proposes a new method for transmission loss allocation. The share of each bus in the transmission line losses is determined using transmission line loss equations with respect to bus-injected currents. Then, it is applied to the total network transmission lines. In the proposed method, comparing with other methods, a solution to remove the negative loss allocation has been introduced. This algorithm is based on the electric network relations and the injected power in various buses considering the network topology. The proposed method is studied on a typical three-bus network, and applied to the IEEE 14-bus networks. In comparison with other methods, a new solution for removing negative loss allocation is proposed.


[1] Ilic M., Galiana F., Fink L., Power Systems Restructuring, Engineering and Economics, Norwell, MA, Kluwer(1998).  
[2] Sheblé G.B., Computational Auction Mechanisms for Restructured Power Industry Operation, Norwell, MA, Kluwer (1999).
[3] Conejo A.J., Arroyo J.M., Guijarro A.L., Transmission Loss Allocation, A Comparison of Different Practical Algorithms, IEEE Trans. Power Systems (2002)17(3): 571-576.
[4] Bialek J.W., Tracing the Flow of Electricity,IEE  Proceedings Generation,   Transmission and Distribution (1996) 143(4):313-320.
[5] Kirschen D., Strbac G., Tracing Active and Reactive Power between Generators and Loads Using Real and Imaginary Currents, IEEE Transmission Power Systems (1999) 14: 1312-1319.
[6] Rau N.S., Radial Equivalents to Map Networks to Market Formats, IEEE Transmission Power Systems (2001) 16(4): 856-861.
[7] Bialek J.W., Tracing the Flow of Electricity,IEE Proceedings Generation,  Transmission and Distribution (1996) 143: 313–320.
[8] Macqueen C. N., Irving M.R., An Algorithm for the Allocation of Distribution System Demand and Energy Losses, IEEE Transmission Power Systems (1996) 11(1): 147–156.
[9] Kirschen D., Allan R., Strbac G., Contributions of Individual Generators to Loads and Flows, IEEE Transmission Power Systems (1997) 12(1):52–60.
[10] Tsukamoto Y.,  Iyoda I., Allocation of Fixed Transmission Cost to Wheeling Transactions by Cooperative Game Theory, IEEE Transmission Power Systems (1996)11(2):620-627.
[11] Chang Y.C., Lu C. N., An Electricity Tracing Method with Application to Power Loss Allocation, International Journal of Electrical Power and Energy Systems (2000)23(1): 13-17.
[12] Gomez Exposito  A., Riquelme  Santos J.M., Gonzalez Garcia T., Ruiz Velasco E. A., Fair Allocation of Transmission Power Losses, IEEE Transmission Power Systems (2000) 15(1):184–188.
[13] Galiana F. D., Phelan M., Allocation of Transmission Losses to Bilateral Contracts in a Competitive Environment, IEEE Transmission Power Systems (2000) 15(1):143–150.
[14] Conejo A. J., Galiana F. D., Kockar I., Z-Bus Loss Allocation, IEEE Transmission Power Systems (2001) 16: 105-110.
[15] Adsoongnoen C., Ongsakul W., Maurer C., Haubrich H., Transmission Pricing Using the Exact Power and Loss Allocation Method for Bilateral Contracts in a Deregulated Electricity Supply Industry, European Transactions on Electrical Power (2007) 17:240–254  DOI: 10.1002/etep.131.
[16] Wang H.X., Liu R., Li W.D., Transmission Loss Allocation Based on Circuit Theories and Orthogonal Projection, IEEE Transmission Power Systems (2009) 24(2): 868-877.
[17] Min K.I., Ha S. H., Lee S.W., Moon Y. H., Transmission Loss Allocation Algorithm Using Path-Integral Based on Transaction Strategy, IEEE Transmission Power Systems (2010) 25(1): 195-205.
[18] Li X., Yamashiro S., Wu L., Liu Z.,  Ouyang M., Generation Scheduling in Deregulated Power Market Taking into Account Transmission Loss Allocation, IET  Generation, Transmission & Distribution (2010)4( 7): 883–892.
[19] Satyaramesh P.V., RadhaKrishna C.,Usage-Based Transmission Loss Allocation under Open Access in Deregulated Power Systems, IET Generation, Transmission & Distribution  (2010) 4 (11): 1261–1274.
[20] Kazemi A., Jadid S., Andami H., A Circuit Based Method for Multi Area Transmission Networks Loss Allocation, European Transactions on Electrical Power (2008) 18:753–766 DOI: 10.1002/etep.225.