Chaotic phenomena are observed in the combustion control systems of refuse incinerators. Since chaotic behavior is not desirable in refuse combustion control, it is necessary to develop a new control system which does not generate the chaotic behavior. In this paper, a new model is constructed with the aim of developing a refuse combustion control system in future studies. The model is based on operation data of a plant and its structure is easy to understand. A numerical simulation was carried out using the model obtained and the results were compared with the plant data from the viewpoint of the chaotic analysis. It was found that both of the steam flow rates are chaotic oscillations in which the embedding dimensions, the fractal dimensions and the maximum Lyapunov exponents are equal to each other.