Tj. Vanderwalt et al., THE DYNAMIC MODELING OF ILL-DEFINED PROCESSING OPERATIONS USING CONNECTIONIST NETWORKS, Chemical Engineering Science, 48(11), 1993, pp. 1945-1958
This paper proposes a new methodology to model ill-defined processing
operations using neural nets (NNs). A process with many variables (lar
ge dimensionality) cannot be modelled adequately if limited process da
ta are available. This problem of multidimensionality is addressed and
an approach suggested to reduce the dimensionality using NNs. An NN i
s trained on process data for the global variable space, whereafter th
e first-order partial derivatives of the process are estimated with th
e NN and used to perform perturbation analyses. As a result, the varia
ble space can be subdivided into subspaces with reduced dimensionality
. The final product of this modelling methodology is a combined model
of phenomenological expressions and NNs. The model can be incorporated
successfully in a dynamic simulator of the process. A new approach to
conduct modelling on the basis of continuous data collected directly
from an industrial processing unit is also proposed. The modelling met
hodology is applied to a typical processing operation, i.e. the carbon
-in-leach (CIL) process.