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This paper focuses on a super distributed energy system that consists of a number of dispersed generation systems such as fuel cells, micro gas-turbines, and so on. The behavior of a customer with a dispersed generation system is modeled on the Ising spin model in statistical mechanics. The validity of the modeling of the behavior of a customer is verified based on the Monte Carlo simulation. The feasibility of autonomous distributed control using vicinity information is also investigated on the basis of stability analysis of the Hopfield neural network model.