Dynamic Bidding Model And Numerical Method Studies Of Power Market Based On Nonlinear Complementarity Problem

Nonlinear complementarity function method could transfer the complementarity programming to a system of semismooth equations, it has been widely raised in solving nonlinear programming and variational inequality etc. Considering the principle of power market, we present a new dynamic bidding model with Nonlinear complementarity function. Furthermore, the characteristic and calculation method of this new model is investigated. The primary contents are as follows:In the first section, we mainly introduce the bidding models, equilibrium theory and math knowledge. In addition, our research works of this paper are also briefly introduced.In the second section, we analysis bidding equilibrium involving transmission constraints based on bilevel programming. The property of equilibrium points is studied through the intersection of optimal response curves in different region. As an example with three lines and three buses, the Nash equilibrium is analyzed in different market parameters and different operational conditions of transmission network, i.e. congestion and non-congestion; By using the numerical simulation approach, the result of numerical simulations is identical to the analysis.In the third section, we present a dynamic bidding model of power markets based on the supply function and the nonlinear complementarity theory in which the transmission constraints of the network and bounded constraints of bidding variables are involved. The new model is composed of difference dynamic system and semi-smooth equations reformulated by NCP. As two examples, three buses and five buses of a power market are as numerical examples to test the dynamic models, the Nash equilibrium and its stability are analyzed with different market parameters and different operational conditions of transmission network, i.e. congestion and non-congestion; By using the numerical simulations, the effect of different market parameters to the dynamic behaviors and stability of markets is studied. The simulating results show that the new model is valid.In the fourth section, to accurately simulate the bidding of market participants, introducing the multi-team model based on the model in the third section, propose a dynamic multi-team model of electricity market. As examples with three buses, numerical simulations analyze that under the different parameters of the market, the system will appear different operation states of transmission (i.e., congestion and non-congestion) and different Nash equilibriums.