This paper shows how an extended Kalman filter can be applied to the parameter estimation in continuous time heat exchanger models. The model is based on lumping of the heat exchanger. It is on state space form where the temperature in each section is a model state. By letting the model parameters be functions of the massflows and the temperatures one obtains a model that is capable of accurately describing the dynamics of the heat exchanger for all relevant working conditions. Since the parameters are functions of temperature, the model is nonlinear in the states and an extended Kalman filter is applied to the state estimation. Empirical relations of the heat transfer coefficients are incorporated in the model parameters in order to cope with the massflow and temperature dependence. Some of the parameters in the empirical relations are also estimated, thereby adjusting the formulas to the specific heat exchanger.
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June 1994
Research Papers
An Application of Extended Kalman Filtering to Heat Exchanger Models
G. Jonsson,
G. Jonsson
Department of Mechanical Engineering, University of Iceland, Hjardarhaga 2-6, IS 107 Reykjavik, Iceland
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O. P. Palsson
O. P. Palsson
The Institute of Mathematical Statistics and Operations Research, The Technical University of Denmark, DK-2800 Lyngby, Denmark
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G. Jonsson
Department of Mechanical Engineering, University of Iceland, Hjardarhaga 2-6, IS 107 Reykjavik, Iceland
O. P. Palsson
The Institute of Mathematical Statistics and Operations Research, The Technical University of Denmark, DK-2800 Lyngby, Denmark
J. Dyn. Sys., Meas., Control. Jun 1994, 116(2): 257-264 (8 pages)
Published Online: June 1, 1994
Article history
Received:
October 27, 1992
Revised:
February 17, 1993
Online:
March 17, 2008
Citation
Jonsson, G., and Palsson, O. P. (June 1, 1994). "An Application of Extended Kalman Filtering to Heat Exchanger Models." ASME. J. Dyn. Sys., Meas., Control. June 1994; 116(2): 257–264. https://doi.org/10.1115/1.2899218
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