Bidding Model Of Electric Power Producers And Its Analysis Based On Differential Game

As the power industry market-oriented reforming, and the power market gradually establishing and perfect, the power generations to obtain the Internet electricity competitively. For the power generators, the bidding strategy in a certain extent decide the amount of its revenue; while for the entire electricity market, the equilibrium pricing in a large extent to maintain the balance of market supply and demand, and the relative stable power market is the premise to ensure the stability of the power supply, and the power shortages will lead to huge economic losses and social losses due to the basic of power industry. Therefore, it is important for the power generator and the healthy development of electricity industry as well as on the whole society to study the bidding and their equilibrium.Firstly, Based on Differential game, with the same discount rate the dynamic bidding model is presented and solved by using the Hamilton-Jacobi-Bellman method, and the situations of three electric power producers are analyzed by numerical simulations; on the basis of this, Based on Differential game, with the different discount rate the dynamic bidding model in the complete situation is presented, and for the two factors of discount rate as well as the learning speed, their different values are analyzed , and bidding strategy function in the completely state solved were separately returned to the part state as well as the static state, and taking into account the discount factor influenced on the discount earnings of power generators in the three kinds of state, and its analysis and comparison is conducted by numerical simulations; finally, because the power demand is uncertain in the actual electricity market and assumed to be a random process, Based on Stochastic Differential game, the dynamic bidding model is presented and solved and analyzed by numerical simulations. The stochastic process expression about market clear price can be got by solving the partial differential equations, and let the expression into the optimization equation, it is not difficult to obtain optimal bidding strategy of power generators in considering the case of market demand that is stochastic. But it is difficult to solve in the actual situation, and when some parameters is a specific value, the stochastic differential equation can be returned to the form of ordinary differential equations, that is the contents of the two previous chapters, therefore, this chapter can be seen as an extension to the contents of the two previous chapters. It can be indicated that, the bidding strategy's dynamic Nash equilibrium will be greater than Cournot-Nash equilibrium of the electric power producer with higher marginal cost ,but the bidding strategy's dynamic Nash equilibrium will be slightly lower than Cournot-Nash equilibrium of the generator with lower marginal cost; with the discount rate increasing, the equilibrium bidding will experience the process from increasing to decreasing, whereas the influence of learning speed on the equilibrium bidding has opposite process; And when the discount rate and learning speed change at the same time, the partial impact of market clear price is more complex , but when both of them gradually increase, the bidding strategy's dynamic Nash equilibrium will gradually stabilize at a high level.