On computational complexity of the electric power flow optimization problem in market environment


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Abstract

Under consideration is the electric power flow optimization problem for an electric power system which typically arises in calculation of electrical power auctions in the “day-ahead” and balancing markets. It was established that the problem of finding a feasible flow in the balancing market is NP-hard in the strong sense even in case of one generator. The problem of finding an optimal flow in the day-ahead market is proved to be NP-hard even with one generator and without controlled cuts.

About the authors

A. V. Eremeev

Sobolev Institute of Mathematics; Dostoevskii Omsk State University

Author for correspondence.
Email: eremeev@ofim.oscsbras.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; pr.Mira 55A, Omsk, 644077

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