© 2004 by Institute of Mathematics and its Applications
Market power analysis in electricity markets using supply function equilibrium model
1 Electric Power and Power Electronics Center, Department of Electrical and Computer Engineering, Illinois Institute of Technology, Chicago, IL 60616, USA, 2 Electrical Engineering Department, Ohio State University, USA
This paper presents a surveillance method based on the game theory which is used by the ISO to find whether a power supplier in an electricity market has market power. The paper uses the supply function equilibrium model to analyse the generation suppliers’ bidding behaviour and models the ISO's market power monitoring problem as a bi-level multi-objective problem. The outer sub-problem is a multi-objective problem which maximizes suppliers’ payoffs, while the inner one is the ISO's market clearing problem based on the locational marginal pricing mechanism. A discrete method is adopted to find ‘good enough’ solutions, in a continuous bidding strategy space, which are the intersection of all suppliers’ optimal response spaces according to Nash equilibrium. The paper utilizes the IEEE 118-bus system to illustrate the application of the proposed method with three suppliers as price setters in the energy market and the other generators as price takers. The numerical results show that the transmission congestion may enhance the suppliers’ ability to exercise market power. Likewise, suppliers’ gaming behaviour could relieve the transmission congestion. It is shown that applying price caps is an efficient way of mitigating market power.
Keywords: electricity market; game theory; market power; supply function equilibrium; Nash equilibrium; price cap; Cournot model