Potential of vehicle-to-grid ancillary services considering the uncertainties in plug-in electric vehicle availability and service/localization limitations in distribution grids

•The availability uncertainty of PEVs are modelled using Gaussian mixture model.•Interdependency of stochastic variables are modelled using copula function.•V2G bidding capacity is calculated using Free Pattern search optimization method.•Localization limitation is considered for V2G service potential assessment.•Competitive services for fleet of V2G-enabled PEVs are identified using fuzzy sets.