Abstract
The present investigation obtained a system of mathematical models of operation of the steel ingot heating furnaces. For this, the systems analysis and synthesis methodology were used, from which the conceptual mathematical model was derived, as well as the interrelation of the furnace with the rest of the plant systems. The model was validated under static and dynamic operating conditions by purchasing the values of the variables measured in a Case Study facility with the values obtained by simulation. In addition, objective function optimization tools were applied by exploring a network of variables with a penalty for breach of constraints. The system responded satisfactorily to the disturbances inherent in the production process.
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