Parameterization of linear supply functions in nonlinear AC electricity market equilibrium models - Part II: Case studies

This study utilizes the primal-dual nonlinear interior point algorithm formulated in Part I of this two-series paper, to obtain electricity market supply function equilibrium solutions for the bi-level market problem of nonlinear power systems with AC meshed networks. The strategic offers of the market players are modeled by parameterizing the generation marginal cost functions using any of the four available parameterization methods to obtain profit-maximizing linear supply function bids. The analysis takes into account a variety of test systems and examines the relation between the equilibrium solutions obtained from the different parameterization methods and the role of network complexity. An analysis of multiple equilibria in AC network constrained systems is also provided.