With the continuous increase of the proportion of renewable energy connected to the grid, energy storage technology to suppress the fluctuation of renewable energy generation has received widespread attention. As a new energy storage method, hydrogen energy storage can transfer large-scale electric energy for a long time and in a wide area. It is an important technology to absorb a high proportion of renewable energy. In this paper, a hydrogen-electric joint coupling system including electrochemical energy storage, hydrogen energy storage and superior power grid is constructed, a long short-term hybrid time scale joint energy storage mechanism of long-term hydrogen energy storage and short-term electrochemical energy storage is constructed, and a mathematical model of each device in the joint energy storage system is established. In order to reduce the complexity of the conventional bi-level robust programming method in dealing with the uncertainty of wind/light/load and overcome the dependence on the solver, an improved bi-level robust planning is proposed, which fully takes the most unfavorable situation of wind/light/load into account and realizes the planning of equipment configuration capacity in the long short-term hydrogen-electric hybrid energy storage system. In order to analyze the charging and discharging process of hydrogen storage energy in a long-time scale, the typical day weight coefficient method is used to couple the typical days, and the annual hydrogen storage charging and discharging energy is described with a small amount of calculation. The feasibility and effectiveness of the proposed method are verified by a case study in a certain area and a comparative analysis of the results from the configuration capacity/power of each device, the total cost and the power sequence of each device in the system.