Microgrid Modelling and Analysis Using Game Theory Methods

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.

[1]  Peter C. Reiss,et al.  Household Electricity Demand, Revisited , 2005 .

[2]  Steven Braithwait Behavior Modification , 2010, IEEE Power and Energy Magazine.

[3]  Michael Wooldridge,et al.  Game Theory and Decision Theory in Multi-Agent Systems , 2002, Autonomous Agents and Multi-Agent Systems.

[4]  A.L. Dimeas,et al.  Operation of a multiagent system for microgrid control , 2005, IEEE Transactions on Power Systems.

[5]  Colin Camerer Behavioral Game Theory: Experiments in Strategic Interaction , 2003 .

[6]  R. Gibbons Game theory for applied economists , 1992 .

[7]  Sukumar Brahma,et al.  Continue Your Learning , 2010, IEEE Power and Energy Magazine.

[8]  R. Iravani,et al.  Microgrids management , 2008, IEEE Power and Energy Magazine.

[9]  K. Arrow,et al.  The New Palgrave Dictionary of Economics , 2020 .

[10]  J. Neumann,et al.  Theory of games and economic behavior , 1945, 100 Years of Math Milestones.

[11]  1 What Is Game Theory Trying to Accomplish ? , 1985 .

[12]  S.D.J. McArthur,et al.  Multi-Agent Systems for Power Engineering Applications—Part II: Technologies, Standards, and Tools for Building Multi-agent Systems , 2007, IEEE Transactions on Power Systems.