By means of constructing mathematical morphology filter,the binary image composed by allelic genes of chromosome is filtered and the problem that deals with the action times of voltage regulating devices for compensation is turned into filtering problem of discrete binary image.

Aiming at the problem of the action times of switching equipment in voltage/reactive power optimization for high and medium voltage distribution networks,a real time voltage/reactive power optimization methods based on the modified particle swarm optimization is presented.

This model with the objective of minimal daily energy loss not only includes time-separated equality and inequality constraints,but also includes time-related inequality constraints,such as action number constraints of transformers with on-load tap changer and switchable shunt capacitor banks.

In this method,action number constraint of control devices is converted into objective function,and the fitness function for the transformed multi-objective optimization problem is designed,which solves the coordination between discretization of variables and action number restriction of control devices.