Equilibrium analysis in imperfect Traders' and GenCos' market

The paper models the strategic behavior of traders, GenCos and ISO using the multi-leader-follower framework. The outcomes of the strategic behavior of the players have been modeled using an equilibrium problem with equilibrium constraints. From a policy perspective it is seen that allowing the GenCos to hold FTRs may be welfare enhancing under certain demand conditions and ownership patterns of transmission rights and generation assets. The proposed model has been simulated on a 3 bus system. © 2010 IEEE.published_or_final_versionThe IEEE/PES Transmission and Distribution Conference and Exposition, New Orleans, LA., 19-22 April 2010. In Conference Proceedings, 2010, p. 1-

Using EPECs to model bilevel games in restructured electricity markets with locational prices

CWPE0619 (EPRG0602) Xinmin Hu and Daniel Ralph (Feb 2006) Using EPECs to model bilevel games in restructured electricity markets with locational prices We study a bilevel noncooperative game-theoretic model of electricity markets with locational marginal prices. Each player faces a bilevel optimization problem that we remodel as a mathematical program with equilibrium constraints, MPEC. This gives an EPEC, equilibrium problem with equilibrium constraints. We establish sufficient conditions for existence of pure strategy Nash equilibria for this class of bilevel games and give some applications. We show by examples the effect of network transmission limits, i.e. congestion, on existence of equilibria. Then we study, for more general EPECs, the weaker pure strategy concepts of local Nash and Nash stationary equilibria. We model the latter via complementarity problems, CPs. Finally, we present numerical examples of methods that attempt to find local Nash or Nash stationary equilibria of randomly generated electricity market games. The CP solver PATH is found to be rather effective in this context

Electric power network oligopoly as a dynamic Stackelberg game

Over the last two decades, the electricity industry has shifted from regulation of monopolistic and centralized utilities towards deregulation and promoted competition. With increased competition in electric power markets, system operators are recognizing their pivotal role in ensuring the efficient operation of the electric grid and the maximization of social welfare. In this article, we propose a hypothetical new market of dynamic spa- tial network equilibrium among consumers, system operators and electricity generators as the solution of a dynamic Stackelberg game. In that game, generators form an oligopoly and act as Cournot-Nash competitors who non-cooperatively maximize their own profits. The market monitor attempts to increase social welfare by intelligently employing equi- librium congestion pricing anticipating the actions of generators. The market monitor influences the generators by charging network access fees that influence power flows to- wards a perfectly competitive scenario. Our approach anticipates uncompetitive behavior and minimizes the impacts upon society. The resulting game is modeled as a Mathemat- ical Program with Equilibrium Constraints (MPEC). We present an illustrative example as well as a stylized 15-node network of the Western European electric grid