Formulation of Oligopolistic Competition in AC Power Networks: An NLP Approach

Guillermo Bautista(gbautistengmail.uwaterloo.ca)
Miguel F. Anjos(anjosstanfordalumni.org)
Anthony Vannelli(vannelliuoguelph.ca)

Abstract: In this paper, oligopolistic competition in a centralized power market is characterized by a multi-leader single-follower game, and formulated as a nonlinear programming (NLP) problem. An AC network is used to represent the transmission system and is modeled using rectangular coordinates. The follower is composed of a set of competitive suppliers, demands, and the system operator, while the leaders are the dominant suppliers. The AC approach allows one to capture the strategic behavior of suppliers regarding not only active but also reactive power. In addition, the impact of voltage and apparent power flow constraints can be analyzed. Different case studies are presented using a three-node system to highlight the features of the formulation. Results on a 14-node system are also presented.

Keywords: Competition, complementarity, Cournot, mathematical problem with equilibrium constraints (MPEC), Nash equilibrium, Oligopoly

Category 1: Applications -- Science and Engineering

Category 2: Other Topics (Game Theory )

Category 3: Nonlinear Optimization (Constrained Nonlinear Optimization )

Citation: IEEE Transactions on Power Systems, Vol. 22 (1), 2007, 105-115.

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Entry Submitted: 01/27/2008
Entry Accepted: 01/28/2008
Entry Last Modified: 01/27/2008

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