Game-Theoretic Control of Small-Scale Power Systems

A power system is a collection of individual components that compete for system resources. This paper presents a game theoretic approach to the control decision process of individual sources and loads in small-scale and dc power systems. Framing the power system as a game between players facilitates the definition of individual objectives, which adds modularity and adaptability. The proposed methodology enhances the reliability and robustness of the system by avoiding the need for a central or supervisory control. It is also a way to integrate and combine supply and demand side management into a single approach. Examples are presented that use a simple nine bus dc power system to demonstrate the proposed method for various scenarios and player formulations.

[1]  A. M. Wildberger,et al.  Complex adaptive systems: concepts and power industry applications , 1997 .

[2]  P.T. Krein,et al.  Mitigation of power system collapse through active dynamic buffers , 2004, 2004 IEEE 35th Annual Power Electronics Specialists Conference (IEEE Cat. No.04CH37551).

[3]  Tansu Alpcan,et al.  A globally stable adaptive congestion control scheme for Internet-style networks with delay , 2005, IEEE/ACM Transactions on Networking.

[4]  Dimitri P. Bertsekas,et al.  Nonlinear Programming , 1997 .

[5]  T. Başar,et al.  Dynamic Noncooperative Game Theory , 1982 .

[6]  Oscar Garcia,et al.  Single phase power factor correction: a survey , 2003 .

[7]  S. Soares,et al.  MW and MVar management on supply and demand side for meeting voltage stability margin criteria , 2004, IEEE Transactions on Power Systems.

[8]  E.L. Zivi Integrated shipboard power and automation control challenge problem , 2002, IEEE Power Engineering Society Summer Meeting,.

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

[10]  R.H. Lasseter,et al.  Microgrid: a conceptual solution , 2004, 2004 IEEE 35th Annual Power Electronics Specialists Conference (IEEE Cat. No.04CH37551).

[11]  R. Isaacs Differential games: a mathematical theory with applications to warfare and pursuit , 1999 .

[12]  M. Dufwenberg Game theory. , 2011, Wiley interdisciplinary reviews. Cognitive science.

[13]  M.R. Iravani,et al.  A Control Strategy for a Distributed Generation Unit in Grid-Connected and Autonomous Modes of Operation , 2008, IEEE Transactions on Power Delivery.

[14]  T. M. Gruzs,et al.  AC, DC or hybrid power solutions for today's telecommunications facilities , 2000, INTELEC. Twenty-Second International Telecommunications Energy Conference (Cat. No.00CH37131).

[15]  Arthur R. Bergen,et al.  Power Systems Analysis , 1986 .

[16]  Dietrich Braess,et al.  Über ein Paradoxon aus der Verkehrsplanung , 1968, Unternehmensforschung.

[17]  Y. Khersonsky,et al.  Power electronics and future marine electrical systems , 2004, Fifty-First Annual Conference 2004 Petroleum and Chemical Industry Technical Conference, 2004..

[18]  R. D. Middlebrook,et al.  Input filter considerations in design and application of switching regulators. , 1976 .

[19]  R. M. Bass,et al.  On the use of averaging for the analysis of power electronic systems , 1989, 20th Annual IEEE Power Electronics Specialists Conference.

[20]  H. Singh,et al.  Introduction to game theory and its application in electric power markets , 1999 .