Mixed Integer Nonlinear Programming for Joint Coordination of Plug-in Electrical Vehicles Charging and Smart Grid Operations

The joint coordination of plug-in electric vehicles(PEVs) charging and grid power control is to minimize both PEVs' charging cost and energy generation cost in meeting both PEVs' power demands and power grid operational constraints. A bang-bang PEV charging strategy is adopted to exploit its simple online implementation, which requires computation of a mixed integer nonlinear programming problem (MINP) in binary variables of the PEV charging and continuous variables of the grid voltages. A novel solver for this challenging MINP is proposed. Its efficiency is shown by numerical simulations.