The economic and stable operation of AC/DC hybrid micro-grid is the basic requirement for the construction and operation of micro-grid. From the perspective of electric energy economic dispatch, a joint economic optimization model considering the maintenance cost, energy storage loss cost, AC/DC converter cost, and grid-connected electricity purchase cost of micro-grid equipment was established. Aiming at the shortcomings of the traditional grey wolf algorithm (GWO) in global search ability, the chaotic sequence was introduced to improve the gray wolf algorithm, and the simulation analysis was based on the actual example to verify the correctness and effectiveness of the proposed model and algorithm. In the actual example analysis, the optimization results of chaotic grey wolf algorithm (CGWO) were compared with GWO, particle swarm optimization (PSO) and chaotic particle swarm optimization (CPSO). The results show that CGWO can effectively perform economic scheduling and ensure good global search characteristics and convergence speed.