Finding an optimal strategy of incorporating renewable sources of energy and electricity storing systems in a regional electrical grid
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12667_2015_Article_144.pdf
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208.46 KB
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0b8e9b01f73b97f487d3c9ddec96bb57
Author(s)
Belenky, Alexander S.
Date Issued
March 2015
Journal
Energy Systems
Publisher
Springer Berlin Heidelberg
Citation
Belenky, Alexander S. “Finding an Optimal Strategy of Incorporating Renewable Sources of Energy and Electricity Storing Systems in a Regional Electrical Grid.” Energy Systems 6, no. 2 (March 25, 2015): 291–308.
Version
Author's final manuscript
Abstract
A game with a finite (more than three) number of players on a polyhedron of connected player strategies is studied. This game describes the interaction among (a) the base load power plant (the generator), (b) all the large customers of a regional electrical grid that receive electric energy from the generator, as well as from the available renewable sources of energy, both directly and via electricity storing facilities, and (c) the transmission company. An auxiliary three-person game on polyhedra of disjoint player strategies that is associated with the initial game is also considered. It is shown that an equilibrium point in the auxiliary game is an equilibrium point in the above game with connected player strategies. Verifiable necessary and sufficient conditions of an equilibrium in the auxiliary three-person game are proposed, and these conditions allow one to find equilibria in (the auxiliary) solvable game by solving three linear programming problems two of which form a dual pair.
MIT Department
Massachusetts Institute of Technology. Center for Engineering Systems Fundamentals
MIT Sociotechnical Systems Research Center
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s12667-015-0144-x
