The power loss on a branch are the function of power flows which are caused by various participants present in the network and it varies nearly quadratic with respect to these power flows. There are several methods present in literature to unbundle or allocate the branch power losses based on different assumptions. In this paper, three game theoretic models are presented and compared, namely, Nash equilibrium, Shapley value and nucleolus, so as to allocate the cross-terms in branch power flow to each participant of the network. Additionally, these game theoretic models are compared with some of the classical methods present in the literature. Further, it is observed that all these game theoretic models give the same solution for the allocation of the branch losses. It satisfies all the axioms of fairness and provide unbiased solution for loss allocation. The results are discussed and illustrated using an example.

Loss cross-term allocation, Nash equilibrium, Nucleolus, Shapley value
International Conference on Power Systems
Centrum Wiskunde & Informatica, Amsterdam, The Netherlands

Sharma, S, Kiran, D, & Abhyankar, A.R. (2017). Cross-terms allocation of line losses using game theory. In Proceedings of the Seventh International Conference on Power Systems (pp. 761–764). doi:10.1109/ICPES.2017.8387391