The compressed air energy storage (CAES) is one of the mature large-scale energy storage technologies currently available, which can play essential roles in the current energy system. The distributed CAES (DT-CAES) can break through geographical limitations. The DT-CAES can be combined with distributed renewable energy or used for terminal grid governance, which improves the quality of renewable energy and maintains grid stability. Presently, research on the DT-CAES has yet to consider the impact of dynamic changes during the operation of solar collectors. This study focuses on the issue of the fluctuation of solar collector heat collection affecting the air inlet temperature during the turbine process, which in turn involves the stability of system power generation. The adjustment of the gas storage margin can effectively improve the power generation stability of the DT-CAES. At the same time, a criterion calculation method that adapts the system design conditions to actual engineering requirements was proposed. This study is beneficial for improving the stability of distributed compressed air promotion and promoting the development of related industries.