Mathematical Model of a Continuous Galvanizing Annealing Furnace

A state space model discrete in time and space was developed for on-line and real-time computation and prediction of strip temperature in a continuous galvanizing annealing furnace. The model development was based on a combination of physical modeling and system identification. An equivalent heat transfer coefficient was introduced to simplify the physical relations of the process. Compact model expressions suitable for on-line and real-time computation were obtained using the finite difference technique. A stability analysis of the model was conducted to guide the selections of time and space steps. System identification aspects were also discussed. The model was successfully applied to industry with good performance.