Abstract
Game theory is a branch of applied mathematics that is, most notably, used in economics as well as in engineering and other disciplines. Game theory attempts to mathematically capture behaviour in strategic situations, in which an individual’s success in making choices depends on the choices of others. The microgrid encompasses a portion of an electric power distribution system that is located downstream of the distribution substation, and it includes a variety of DER units and different types of end users of electricity and/or heat. Microgrids promote the use of new technologies, under the general Smart Grids’ umbrella, in order to achieve more efficient use of electric energy, better protection, improved control and provide services to the users. For the materialization of the infrastructure needed to implement this model, engineers have nominated technologies like smart agents, distributed computing, smart sensors and others, as well as, a solid and fast communication infrastructure. In this decentralized environment, multiple decision making participants interact, each striving to optimize its own objectives. Thus, a game theoretic approach is attempted to model and analyse the strategic situations arising from the interactions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aumann, R.J.: What is game theory trying to accomplish. Frontiers of economics 29, 28–99 (1985)
Braithwait, S.: Behavior modification. IEEE Power and Energy Magazine 8(3), 36–45 (2010)
Colin, C.: Behavioral game theory: experiments in strategic interaction. Russesll Sage Foundation, London (2003)
Dimeas, A.L., Hatziargyriou, N.D.: Operation of a multiagent system for microgrid control. IEEE Transactions on Power Systems 20(3), 1447–1455 (2005)
Eatwell, J., Milgate, M., Newman, P. (eds.): The new palgrave: A dictionary of economics, ch. 2, p. 46082. Palgrave Macmillan, Oxford (1987)
Gibbons, R.: Game Theory for Applied Economists (1992)
Katiraei, F., Iravani, R., Hatziargyriou, N., Dimeas, A.: MicroGrids Management, control and Operation Aspects of MicroGrids. IEEE Power Energy Mag. 6(3), 54–65 (2008)
McArthur, S.D.J., Davidson, E.M., Catterson, V.M., Dimeas, A.L., Hatziargyriou, N.D., Ponci, F., Funabashi, T.: Multi-agent systems for power engineering applications Part II: Technologies, standards, and tools for building multi-agent systems. IEEE Transactions on Power Systems 22(4), 1753–1759 (2007)
Parsons, S., Wooldridge, M.: Game theory and decision theory in multi-agent systems. Autonomous Agents and Multi-Agent Systems 5(3), 243–254 (2002)
Reiss, P.C., White, M.W.: Household electricity demand (2002)
Shor, M.: Dictionary of game theory terms, game theory. net (July 2010) (online)
von Neumann, J., Morgenstern, O.: Theory of games and economic behavior. Princeton University Press, Princeton (1944)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
About this paper
Cite this paper
Aristidou, P., Dimeas, A., Hatziargyriou, N. (2011). Microgrid Modelling and Analysis Using Game Theory Methods. In: Hatziargyriou, N., Dimeas, A., Tomtsi, T., Weidlich, A. (eds) Energy-Efficient Computing and Networking. E-Energy 2010. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19322-4_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-19322-4_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19321-7
Online ISBN: 978-3-642-19322-4
eBook Packages: Computer ScienceComputer Science (R0)