| In the market reform and operation, how to effectively master and supervise the dynamic market behaviors is an important research topic, especially for the power market in its infancy. After reviewing research achievements about dynamic evolution of market and chaos control, in this paper, by using precise mathematical theories, the dynamic power market model considering physical characteristics of monopolistic network is established and the complicated evolvement mechanism in the state of equilibrium, period and chaos is analyzed. Because in periodic or chaotic state, the economic performance is worse than in the state of equilibrium, the chaos control is proposed in order to improve the benefit of the market.In order to simulate the dynamic behaviors of participants in power market, two kind of dynamic power market models considering transmission constraints are proposed, there are the Cournot game with bounded rationality model and the dynamic supply function model, which are present as discrete difference equations embedded with the optimization problem in mathematics. The former is the combination of power suppliers'decision dynamic model and the market clearing optimize model considering transmission constraints, the latter the combination of the participants'bidding decision dynamic model and the market clearing optimize model considering transmission constraints.The Nash equilibrium and its stability of the dynamic model is analyzed qualitatively, indicating that in power market there are different Nash equilibriums in different market parameters corresponding to different operational conditions of transmission network, i.e., congestion and non-congestion, even in some cases there is not Nash equilibrium at all. The periodic or chaotic dynamic behaviors are present when the market parameters are out of the stability region of Nash equilibrium. The economic performances in the state of Nash equilibrium, period and chaos are analyzed, where the performance is optimal is in the state of Nash equilibrium.The time-delayed feedback chaos control is proposed. The output signal of system is taken as control signal after time delay and feedback to the chaotic system. The control to the periodic and chaotic behaviors of the market is achived by adjusting the size of the control signal, and the economic behavior is improved.Through compiling program using MATLAB, the dynamics and chaos control of two-node, three-node and fourteen-node model are achieved, so that the validity and feasibility of proposed model and algorithm are testified by calculated results. |
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