Abstract: Mobile energy storage technology has the advantages of strong flexibility and wide application scenarios. In addition to emergency power supply, mobile energy storage technology also has good application prospects in distribution network in peak load shifting, improving power quality, and so on. In view of the optimal operation of the active distribution network with the integration of distributed generation, this paper proposes a hierarchical control strategy for an active distribution network that integrates mobile energy storage dispatch and reactive power optimization by making full use of the daily idle situation of mobile energy storage. The upper-level optimization model integrates the optimal net load variance and total operation cost of mobile energy storage, and the lower-level optimization model considers mobile energy storage dispatch in conjunction with reactive power optimization, with the objectives of minimizing grid voltage deviation, network loss cost and migration cost. In addition, this paper considers that the model has multidimensional nonlinear characteristics, introduces quantum behavior and probabilistic expression characteristics, proposes an improved quantum particle swarm algorithm, adopts quantum bits to encode the current position of particles, and uses quantum behavior evolution equation to realize the search for the optimal position of particles, which improves the convergence speed and the accuracy of the algorithm to find the optimal position. Finally, a simulation analysis is conducted with the IEEE 33-bus distribution system to verify the effectiveness of the proposed control strategy and algorithm.