In this paper based on the fundamental laws of physics, thermodynamics principles and energy semi- empirical laws for heat transfer, the mathematical models are developed and applied to electrical power generating plants in order to characterize the essential dynamic behavior of the boiler subsystems. These models are developed for a sub-critical once-through Benson type boiler based on the experimental data obtained in field experiments. An optimization approach based on genetic algorithm (GA) is executed to estimate the model parameters and fit the models response on the real system dynamics. Comparison between the responses of the corresponding models with the response of the real plants validates the accuracy and performance of modeling approach.
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