Game analysis of electricity markets considering bidding of ramp-rate

A game model considering the ramping strategy of the units in electricity markets was presented to give full play to the units' rapid ramping capabilities. Based on the uniform-price auction, inelastic demand and marginal cost pricing, the ramping cost and the probability and restrictions of the decreasing of ramp-rate bidding were discussed. The analytic solutions of the Nash equilibrium of the increasing of ramp-rate bidding was obtained by replacement method combining graphic analysis under the condition that the marginal cost was nonlinear. The results of examples showed that reasonable ramp-rate bidding of the generators can reduce the clearing price and purchase cost of the market, the operation of the high cost unit, and the unnecessary unit up-down effectively, and enhance the stability of the market.