1. Predictive functional control of a counter current heat exchanger using convexity property
- Author
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J. Richalet, M.A. Arbaoui, Lionel Estel, M.A. Abdelghani-Idrissi, Université de Rouen Normandie (UNIROUEN), Normandie Université (NU), Laboratoire de Sécurité des Procédés Chimiques (LSPC), Normandie Université (NU)-Normandie Université (NU)-Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie), Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA), Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie), and Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)
- Subjects
0209 industrial biotechnology ,Countercurrent exchange ,General Chemical Engineering ,Energy Engineering and Power Technology ,02 engineering and technology ,Industrial and Manufacturing Engineering ,Convexity ,[SPI.AUTO]Engineering Sciences [physics]/Automatic ,Physics::Fluid Dynamics ,[SPI]Engineering Sciences [physics] ,020901 industrial engineering & automation ,020401 chemical engineering ,Control theory ,Heat exchanger ,[SPI.GPROC]Engineering Sciences [physics]/Chemical and Process Engineering ,0204 chemical engineering ,ComputingMilieux_MISCELLANEOUS ,Mathematics ,geography ,geography.geographical_feature_category ,Process Chemistry and Technology ,[SPI.FLUID]Engineering Sciences [physics]/Reactive fluid environment ,General Chemistry ,Solver ,Inlet ,Heat capacity rate ,Volumetric flow rate ,Model predictive control - Abstract
This paper deals with the global modelling and the predictive functional control (PFC) of a tubular counter current heat exchanger. The hot product flowing through the inner tube is cooled and its outlet temperature is monitored under varying the flow rate of cold fluid circulating in the annular duct. A global model representing the response to inlet temperature variations is used to implement the PFC algorithm. The control law takes into account the convexity property of the heat exchanger, which distinguishes the linear effects of state perturbations from the non-linear effects of structure disturbances. The control equation corresponds to a generic algebraic solver, which enables to assess the inlet temperature or the flow rate of cold fluid. In this study, the manipulated variable used to control the heat exchanger is the flow rate of cold fluid corresponding to a parameter of the dynamic model while the inlet temperature, which is the principal input, is kept constant. The PFC algorithm is then ‘parametric’ and the manipulated parameter is derived from the control equation. The robustness of this controller has also been studied when inlet temperatures and flow rate of product are subjected to sudden fluctuations.
- Published
- 2001
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