Three port power electronic transformer (PET) with AC and DC port, can easy implement the coordinate optimization of main network, AC micro-grid and DC micro-grid. According to PET structure, dividing grid-connected AC/DC hybrid micro-grid into microgrid layer, hybrid layer and gridSconnectionSpoint layer. Establishing hierarchical multi-objective optimization model with the goal of minimizing power fluctuation at grid-connected point, maximizing consumption of new energy at hybrid layer, and minimizing change rate of new energy and load power at microgrid layer. Based on capacity of PET port and transmission efficiency, improving the supply and storage index of microgrid and gridSconnectionSpoint, reducing the optimization constraints. On this basis, the weighted multi-objective solution is realized and the solution efficiency is improved. The example verifies the effectiveness of hierarchical multi-objective optimization and supply-storage index.