Building-to-grid predictive power flow control for demand response and demand flexibility programs

•Proposes a predictive method to control power flow of ESS, PV, buildings and grid.•Presents two configurations for grid integration of buildings with ESS and PV.•Develops model predictive control for demand response for building-to-grid systems.•Develops a predictive method to prevent grid duck-curve by reducing load ramp-rate.•Presents deterministic/probabilistic analysis of the proposed predictive framework.