• The multi-period active-reactive coordination scheduling strategy considering the operation characteristics and reactive power adjustment ability of adjustable resources is proposed to formulate a reasonable and efficient scheduling plan. Meanwhile, the effectiveness and practicality of the proposed strategy are verified through four typical operating scenarios and three proposed evaluation indicators. • An efficient solution method for active-reactive coordinated scheduling model is proposed based on the accurate linearization modeling of ESS, CB and OLTC. Then, the MISOCP are further converted into 0–1 MISOCP to solve accurately and efficiently. Finally, the excellent performances of the proposed linear modelling method have been validated by four operating schemes. • The sensitivity for adjustment step and action time of discrete controllable devices are analyzed in depth. Meanwhile, the adjustment step and action time of discrete controllable devices influence on the optimization results is discussed in detail. Nowadays, the active distribution network (ADN) is facing great challenges on safe operation and coordinated scheduling. To resolve these issues, a novel multi-period active-reactive coordination scheduling strategy efficient solution method is proposed in this paper after addressing the uncertainty of DG and load by probabilistic scenario method. Firstly, based on the second-order cone relaxation (SOCR), the power flow equations are convexized and relaxed to transform the original model into mixed integer second-order cone programming (MISOCP). Then, the controllable resources such as on-load tap changer (OLTC), capacitor banks (CB) and ESS are accurately linearized, so the model is converted to 0–1 MISOCP problem. Finally, compared with the existing strategies, numerical tests on the modified IEEE 33-bus test system demonstrate that on the premise of realizing the maximum utilization of DG, the proposed strategy can also achieve the purposes of energy-saving, loss reduction and improvement in voltage level and the utilization of ESS. Meanwhile, the accuracy and efficiency of the 0–1 MISOCP model are verified through four operating schemes. In addition, the sensitivity analysis of adjustment step and action time of the discrete adjustment devices on optimization results is carried out in detail. [ABSTRACT FROM AUTHOR]