Small sodium-cooled fast reactor nuclear power supply is widely used in islands, remote mountains and other areas with stable power supply demand because of its flexibility and modularity. It is necessary to carry out analysis and verification of self-start-stop function for the remote location and far away from the external power grid. In this paper, the non-nuclear integrated test device for the small sodium-cooled fast reactor is designed, and the above analysis and verification are completed by using the non-nuclear device. The non-nuclear device is consistent with the design of the nuclear power supply, in which the thermoelectric conversion system uses the Stirling engine as the main equipment. The non-nuclear device uses electric heating core to simulate the reactor, which has a variety of auxiliary systems such as sodium charging and exhaust purification system, argon vacuum pumping system and waste heat removal system. Due to the application requirements of nuclear power supply, the design and application of automatic start-up and shutdown of modular small sodium reactors are emphasized in non-nuclear device. In order to verify the feasibility of the self-start-stop design, the non-nuclear device is used to verify and analyze the start-up and shutdown strategies. The design scheme for an energy storage module suitable for MW nuclear power supply is obtained based on the design requirements and power consumption of startup and auxiliary systems. Additionally, this paper conducts various verification and analysis tasks, such as power step and start-stop control operations, considering the characteristics of Stirling engine equipment. The results show that the small sodium reactor power supply can be started and shut down quickly and efficiently with the energy storage module.