Equilibrium Analysis Of Electricity Markets Using Nonlinear Complementarity Methods

The worldwide restructuring and deregulation of electric power industry has being significantly changed the operation style of power systems. In the deregulated market environment, participants are required to pay much attention to the consequence of their own decisions, while market regulators need to understand the corresponding market features and efficiency of different market modes. As such, developments of reasonable decision-making models and methods have significant implications in both theoretic and practical respects. The unique features of electric power industry make the electricity market more akin to an oligopoly. Consequently, a variety of oligopolistic equilibrium models are used to quantitatively examine the strategic behaviors of market participants and their impacts on the whole market. These examinations are extremely helpful for market regulators'decision-makings. This dissertation addresses issues of equilibrium analysis of large-scale, complicated power market systems. The main research work includes: solution approach to equilibrium models of complicated electricity markets using a special nonlinear complementarity function, equilibrium analysis of a bid-based-pool (BBP) generation market with DC power flow constraints, multi-period equilibrium analysis of electricity market taking into account cross-time response of load demand and transmission constraints, equilibrium analysis of regional bilateral electricity markets using a DC transmission model, joint equilibrium analysis for electricity forward and spot markets with transmission constraints. The main work and key contributions of this dissertation are as follows:First, this dissertation launches the introduction of nonlinear complementarity approach in the solution of large-scale complicated equilibrium models. The proposed method involves gathering the Karush-Kuhn-Tucker (KKT) conditions of each participant to form a mixed nonlinear complementarity problem (NCP). Using a special nonlinear complementarity function, the mixed NCP is reformulated as a set of nonlinear algebraic equations. Then the market equilibrium can be obtained by solving these equations. Since equilibrium problems for large-scale electricity markets with transmission constraints are sophisticated mathematical programs, the proposed method provides an efficient way to the solution of these equilibrium models, and also paves the way for our subsequence research work. This part is one of the key contributions of this dissertation.Second, a LSFE model with DC power flow constraints is developed to analyze the generators'competition behaviors in BBP generation markets. In this model, each...