Based on the theory of dissipative structures, this paper explored the self-organizing evolution of the energy system. Combination with the connotations and structure of the energy system, and analyzed the characteristics of its dissipative structure. On this basis, an entropy flux index system for the energy system was created. Scientifically translating the Brusselator, a typical model in the theory of dissipative structures, a dissipative structure judgement model was built. By collecting data through a questionnaire survey, the entropy of the system is calculated to determine the Chinese energy system in the dissipative structure now and relevant policy suggestions are put forward to promote the stability of dissipative structure of energy system.