“…The active-reactive power collaborative optimization scheduling within clusters can be formulated as a multi-object optimization model based on the flexibility of buildingintegrated flexible DERs, while the uncertainties in PV outputs, ES performance, EV parking behaviors, TCL heating/cooling behaviors, and SVC regulation capacity are considered and represented by various stochastic scenarios based on historical data in [3,30,31]. Specifically, each cluster k aims to minimize operational cost f 1 k , power-loss cost f 2 k , and penalty cost for flexibility deficiency f 3 k , as shown in (11a), (12), and (13a). f 1 k is composed of the maintenance cost C PV k,i,t,s of BIPVs due to the renewable generation curtailment, the lifetime degradation cost C ES k,i,t,s of BIESs, the compensation cost C CL k,i,t,s of BIEVs and BITCs stemmed from power regulation and the operation cost C SVC k,i,t,s of static var compensator (SVC) under scenario s. f 2 k can be derived from the power-flow calculation during the scheduling circulation, where U k,i,t,s , G k,i,t,s , B k,i,t,s , and δ k,ij,s represent the nodal voltage magnitudes, the conductance, the susceptance, and the phase angle of line ij at time t within cluster k under scenario s; λ Loss k,s is the compensation price of the network loss.…”