A bivariate stochastic optimization model of bidding strategy considering the competition among renewable power producers

The competition among renewable power producers (RPPs) may lead the cleared power of RPPs to be less than the bidding power while the impacts of competition are neglected in the existing price-taker methods. To overcome the above deficiency, this paper develops an optimal bidding strategy considering the competition among RPPs. First, a bivariate stochastic optimization (BSO) model of bidding strategy is proposed by considering the variable power output of RPPs and the competition among RPPs. Particularly, the cleared power estimated by the demand-supply ratio is a random variable in the proposed BSO model. Then, the Newton method and particle swarm optimization (PSO) are combined to solve the BSO model in which various probability distribution functions (PDFs) of renewable energy generation are considered. Finally, the effectiveness of the proposed method is verified based on the results of a case study and the proposed model is performed better than the traditional chance-constrained programming (CCP) model in power market competition.