With unceasing increase of plug-in electric vehicles and distributed generators integrated into power grid

virtual power plant(VPP)provides an idea for solving grid-integration problems of plug-in electric vehicles and distributed generators. The uncertainties containing the number of dispatchable plug-in electric vehicles and the output of distributed generators should be considered in optimal dispatching of VPP. Given this background

the uncertainty of wind output is described by typical scenarios produced by scenario generation and reduction techniques. Considering the uncertain and stochastic nature of dispatchable plug-in electric vehicles

a dual model of the original one is constructed based on robust optimization

and a robust stochastic optimal dispatching model of a VPP including plug-in electric vehicles is proposed. Case study shows the effectiveness and feasibility of the proposed model

and the consideration of uncertainties in optimal dispatching model reduces daily operation cost and improves the robustness of the optimal schemes. The results show that confidence level and robust coefficients have effects on operation costs. Operation costs can be reduced by making rational generation plan of conventional generating units such as gas turbine.