Fouling Detection in a Parallel Flow Heat Exchanger via a Roesser Model Identification Procedure

Abstract In this paper, the problem of fouling detection in a parallel flow heat exchanger is tackled. Because the behavior of a heat exchanger is governed by coupled partial differential equations, we suggest describing its dynamics by using a 2D linear time-invariant gray-box Roesser model. A non-linear optimization of a standard non-convex cost function is introduced to estimate the state-space matrices of the Roesser model, more specifically to estimate its physical parameters. After the parameter estimation, the output temperatures of the obtained model are compared to the output temperatures of the process and residuals are generated in order to detect a potential fouling. Numerical simulations illustrate the efficiency of this new fouling detection approach.

[1]  Carlos S. Kubrusly,et al.  Distributed parameter system indentification A survey , 1977 .

[2]  Laurent Bouvier,et al.  Structure and rate of growth of whey protein deposit from in situ electrical conductivity during fouling in a plate heat exchanger , 2007 .

[3]  Joannes J. Westerink,et al.  Consistent higher degree Petrov–Galerkin methods for the solution of the transient convection–diffusion equation , 1989 .

[4]  P. Khargonekar,et al.  Approximation of infinite-dimensional systems , 1989 .

[5]  S. Lalot,et al.  Use of extended Kalman filtering in detecting fouling in heat exchangers , 2007 .

[6]  Thierry Poinot,et al.  Continuous-Time Linear Parameter-Varying Identification of a Cross Flow Heat Exchanger: A Local Approach , 2011, IEEE Transactions on Control Systems Technology.

[7]  R. Roesser A discrete state-space model for linear image processing , 1975 .

[8]  Régis Ouvrard,et al.  Combining least-squares and gradient-based algorithms for the identification of a co-current flow heat exchanger , 2019, Int. J. Control.

[9]  B. P. Leonard,et al.  A stable and accurate convective modelling procedure based on quadratic upstream interpolation , 1990 .

[10]  Michael K. Jensen,et al.  Analytic model for transient heat exchanger response , 2003 .

[11]  Petre Stoica,et al.  Decentralized Control , 2018, The Control Systems Handbook.

[12]  Guillaume Delaplace,et al.  Design and performance of a low-frequency non-intrusive acoustic technique for monitoring fouling in plate heat exchangers , 2007 .

[13]  B. L. Yeap,et al.  Use of crude oil fouling threshold data in heat exchanger design , 2002 .

[14]  W. Marszalek,et al.  Heat exchangers and linear image processing theory , 1989 .