Fault Detection and Diagnosis using Multivariate Statistical Techniques in a Wastewater Treatment Plant

Diego Garcia-Alvarez1,  Maria Jesus Fuente1,  Pastora Vega2,  Gregorio Sainz1
1Department of Systems Engineering and Automatic Control, University of Valladolid, 2Department of Computer Science and Control, University of Salamanca


Abstract

In this paper Principal Components Analysis (PCA) is used for detecting faults in a simulated wastewater treatment plant (WWTP). Diagnosis tasks are treated using Fisher discriminant analysis (FDA). Both techniques are multivariate statistical techniques used in multivariate statistical process control (MSPC) and fault detection and isolation (FDI) perspectives. PCA reduces the dimensionality of the original historical data by projecting it onto a lower dimensionality space. It obtains the principal causes of variability in a process. If some of these causes change, it can be due to a fault in the process. FDA provides an optimal lower dimensional representation in terms of a discriminant between classes of data, where, in this context of fault diagnosis, each class corresponds to data collected during a specific and known fault. A discriminant function is applied to diagnose faults using data collected from the plant.