In order to solve the problems of voltage violation and voltage fluctuation caused by high proportion of distributed photovoltaic (DPV) in distribution network (DN)

take full advantages of the reactive power adjusting capacity of photovoltaic (PV) inverter in real time and improve the accommodation rate of PV

a slack optimal control method in DN based on voltage optimization of point of common coupling (PCC) for PV via multi-time-scale coordination is proposed. On the long-time-scale

a two-stage dynamic stochastic optimal dispatch (DSOD) model considering chance constraint of state variables is built to minimize the operation cost

and an economic slack optimal dispatching plan of traditional reactive power and voltage equipment and PCC voltage of PV is developed. On the short-time-scale

in order to track the PCC voltage dispatching value

an adaptively slack optimal control strategy based on node type transformation of PCC is proposed to adjust the real-time reactive power output and active power curtailment of PV. In order to improve algorithm efficiency

a stochastic optimal power flow decoupling method by interactive iteration between second-order cone programing and probabilistic power flow based on Latin hypercube sampling is proposed to solve the two-stage DSOD model. The simulation results show that the proposed method can effectively solve the problems of voltage security and improve the operation economy of DN in real-time mode.