Computational Mathematics and Modeling

, Volume 30, Issue 4, pp 413–426 | Cite as

Energy Markets: Optimization of Transmission Networks

  • A. A. VasinEmail author
  • O. M. Grigor’eva

We consider the maximization of the welfare function in the process of expansion of the energy transmission network. Production and transportation costs as well as the utility of consumption are taken into consideration. The article presents previously developed methods for the calculation of optimal (or nearly optimal) transmission capacities, flows, and production volumes with a model of a network energy market. We also examine the dynamic problem of optimal expansion of the transmission system given that the demand and cost functions are exogenous for each time interval during the planning period,


energy market perfect competition transportation network social welfare 


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Faculty of Computational Mathematics and CyberneticsLomonosov Moscow State UniversityMoscowRussia

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