In the context of "carbon peak" and "carbon neutrality" and large-scale new energy applications, hydrogen energy storage has the characteristics of clean and large-capacity storage. It is favored by all parties and helps to improve the utilization and efficiency of new energy. The power system operates stably and further reduces carbon emissions. Therefore, hydrogen energy has become one of the vigorously developed future energy sources. Hydrogen storage is the focus of research at this stage in terms of capacity allocation and economic perspective. This article takes the basic structure of hydrogen-containing energy storage microgrid as an example, introduces the mathematical models of its devices and related research progress, and introduces in detail the characteristics and applications of hydrogen storage and some aspects of other energy storage technologies.And it explores the current status of capacity planning, the corresponding optimization goals and existing problems of the research optimization configuration; finally, the future innovation and research directions of future research are analyzed and prospected. Low-carbon economic indicators as the economic optimization assessment of the capacity of new energy storage systems containing hydrogen will become the research focus of the "dual carbon" goal.