Abstract: Considering the influence of the randomness of the distributed power supply on the operation of the active distribution network ( ADN) ，an adaptive robust optimization ( AＲO) method is proposed and combined with active and reactive power optimization for ADN to improve system performance． First of all，considering all kinds of discrete and continuous adjustable devices，an ADN operation optimization model based on Distflow power flow model is established; then， the AＲO model is used to deal with the model in consideration of the randomness of the PV output and the column-and-constraint generation algorithm is used to deal with the model; an improved outer approximation algorithm is proposed to solve the dual problem of nonlinearity． In addition， the battery energy storage system ( BESS) is used as the realtime controllable adjustment，and applied to the second stage of AＲO method． Finally， the extended IEEE33-node and PG＆E69-node system are used to perform the simulation calculation，the deterministic method and the method of the first stage control device used only as BESS are compared and analyzed， and the validity and reliability of the method of this paper which is used to improve the operation ability of ADN are thus verified． 

Key words:  active distribution network, adaptive robust optimization, PV power randomness, column-and-constraints generation algorithm