Multilinear Model of Heat Exchanger with Hammerstein Structure

Abstract

The multilinear model control design approach is based on the approximation of the nonlinear model of the system by a set of linear models. The paper presents the method of creation of a bank of linear models of the two-pass shell and tube heat exchanger. The nonlinear model is assumed to have a Hammerstein structure. The set of linear models is formed by decomposition of the nonlinear steady-state characteristic by using the modified Included Angle Dividing method. Two modifications of this method are proposed. The first one refers to the addition to the algorithm for decomposition, which reduces the number of linear segments. The second one refers to determination of the threshold value. The dependence between decomposition of the nonlinear characteristic and the linear dynamics of the closed-loop system is established. The decoupling process is more formal and it can be easily implemented by using software tools. Due to its simplicity, the method is particularly suitable in complex systems, such as heat exchanger networks.

Identification of nonlinear processes based on Wiener-Hammerstein models and heuristic optimization.

“…This structure was introduced in 1930 by the mathematician A. Hammerstein [40], however, the first identification algorithm was presented in 1966 by Narendra and Gallman [75]. Like Wiener's models, Hammerstein's models have also been widely used to model real processes including distillation columns [25], heat ex-changers [86,20], biological systems [14,18] and solid oxide fuel cells [48].…”