A STATE MODEL FOR THE DRYING PAPER IN THE PAPER PRODUCT INDUSTRY

The purpose of this paper is to present a state variable model for the drying section of a paper-making machine. This model is based on the mass and energy balance relationships written for steam, paper, cylind rical heater wall, and moisture. These relationships give a set of six nonlinear partial derivative equations. The form of these equations c hanges somewhat from one cylindrical heater to another. The solution f or this model yields the operating parameters needed to achieve the de sired steam temperature while obtaining good paper drying. Boundary co nditions are specified by a stochastic generator, and initial conditio ns are obtained by solving the static model. The dynamic model is pres ented in [1]. In this paper, we present only the state variable model for the paper drying, as well as comparing the obtained results with d ynamic model results. Solving the set of differential equations with r espect to the boundary conditions, we obtain the standard form of the state representation, which represents the dynamic version of the mode l used for process control. In conclusion, it can be said that the con sistency of the model with experimental results seems to be reasonably good and can be used for process control.