Forvehicle-to-grid(V2G)frequencyregulationservices,weproposeanaggregatorthatmakesefficientuseofthedistributedpowerofelectricvehiclestoproducethedesiredgrid-scalepower.Thecostarisingfromthebatterychargingandtherevenueobtainedbyprovidingtheregulationareinvestigatedandrepresentedmathematica