0
TECHNICAL PAPERS: Thermal Systems

Estimating Parameters and Refining Thermal Models by Using the Extended Kalman Filter Approach

[+] Author and Article Information
Ashley F. Emery

Department of Mechanical Engineering, University of Washington, Seattle, WA 98195-2600

J. Heat Transfer 126(5), 809-817 (Nov 16, 2004) (9 pages) doi:10.1115/1.1795811 History: Received February 10, 2003; Revised June 30, 2004; Online November 16, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Gans, P., 1992, Data Fitting in the Chemical Sciences, J. Wiley and Sons, New York, NY.
Sorenson H. W., 1980, Parameter Estimation: Principles and Problems, Marcel Dekker, Inc., New York, NY.
Cowan, G., 1998, Statistical Data Analysis, Oxford Press, Oxford, England.
Young, P., 1984, Recursive Estimation and Time Series Analysis, Springer Verlag, New York, NY.
Chui, C. K., and Chen, G., 1999, Kalman Filtering with Real Time Applications, Springer Publ., New York, NY.
Anderson, B. D. O., and Moore, J. B., 1979, Optimal Filtering, Prentice-Hall Publ. New York, NY.
Ghanem,  R., and Shinozuka,  M., 1995, “Structural-System Identification I: Theory,” J. Eng. Mech., 121, pp. 255–264.
Blackwell, B. F., Gill, W., Dowding, K. J., and Easterling, R. G., 2000, “Uncertainty Estimation in the Determination of Thermal Conductivity of 304 Stainless Steel,” Proc. IMECE 2000, ASME, New York, NY.
Beck, J. V., and Arnold, K. J., 1977, Parameter Estimation in Engineering and Science, J. Wiley and Sons, New York, NY.
Beck,  J. V., Blackwell,  B., and Haji-Sheikh,  A., 1996, “Comparison of Some Inverse Heat Conduction Methods using Experimental Data,” Int. J. Heat Mass Transfer, 39, pp. 3649–3657.
Emery,  A. F., Blackwell,  B., and Dowding,  K. J., 2002, “The Relationship between Information, Sampling Rates, and Parameter Estimation Models,” ASME J. Heat Transfer, 124(6), pp. 1192–1199.
Pope, A. J., 1976, “The Statistics of Residuals and the Detection of Outliers,” NOAA Tech. Rept. NOS 65 NGS 1.
Emery, A. F., and Bardot, D., 2003, “Parameter Estimation for Highly Nonlinear Models with Noisy Data,” Paper HT2003-40193, presented at the ASME Summer Heat Transfer Conference, Las Vegas, NV.
Emery, A. F., 2002, “Transient and Steady State Free Convection from a Horizontal Cylinder,” Proc. 4th International Conference on Inverse Problems in Engineering, Rio de Janeiro, Brazil.
Jonsson,  G., and Palsson,  O. P., 1994, “An Application of Extended Kalman Filtering to Heat Exchanger Models,” ASME J. Dyn. Syst., Meas., Control, 116, pp. 257–264.
Al-Haik, M. S., and Haik, Y. S., 1999, “System Identification of a Lumped Heat Exchanger Using the Extended Information Filter,” SPIE Conf. Sensor Fusion and Decentralized Control in Robotic Systems II, pp. 9–20.
Scarpa,  F., and Milano,  G., 1995, “Kalman Smoothing Technique Applied to the Inverse Heat Conduction Problem,” Numer. Heat Transfer, Part B, 28, pp. 79–96.
Al-Khalidy,  N., 1998, “Application of Stochastic Method for Solving Inverse Heat Conduction Problems,” Numer. Heat Transfer, Part A, 34, pp. 331–342.
Moultanovsky,  A. V., and Rekada,  M., 2002, “Inverse Heat Conduction Problem Approach to Identify the Thermal Characteristics of Super-Hard Synthetic Materials,” Inverse Probl. Eng., 10(1), pp. 19–39.
Moultanovsky,  A. V., 2002, “Mobile HVAC System Evaporator Optimization and Cooling Capacity Estimation by Means of Inverse Problem Solution,” Inverse Probl. Eng., 10(1), pp. 1–18.
Incropera, F. P., and DeWitt, D. P., 2002, Introduction to Heat Transfer, J. Wiley and Sons, New York, NY.
Dowding, K. J., 2003, personal communication.
Johnston, J., 1972, Econometric Methods, McGraw-Hill, New York, NY.

Figures

Grahic Jump Location
Schematic of the experiment
Grahic Jump Location
Measured temperatures at the indicated thermocouples with TC 1 and 14 located at x=±L and 7 and 8 located adjacent to the centerline, x=0: (a) estimated conductivity; and (b) estimated standard deviation.
Grahic Jump Location
Sequential least squares fitting during heating showing individual results from thermocouples 2–7 and that from averaging values from thermocouples 2–13
Grahic Jump Location
Residuals for thermocouples 2–13 (the curves for TC 4-11 are not identified)
Grahic Jump Location
Comparison of estimated axial heat transfer averaged over nodes 2–13 to the flux at the boundaries, TC 1, and 14
Grahic Jump Location
Estimated surface heat flux for free convection from a cylinder showing the effect of inaccuracies in the heat supplied and stored
Grahic Jump Location
(a) Estimated k⁁ computed using the extended Kalman filter; and (b) the residuals computed using the extended Kalman filter
Grahic Jump Location
Correlation between T2 and the other sensors
Grahic Jump Location
(a) The effect of considering qji on the estimated k⁁; and (b) the effect of considering qji on the residuals
Grahic Jump Location
(a) Values of qji at each node; and (b) average of qji over nodes 2-13
Grahic Jump Location
Estimated conductivity using an artificial set of measured temperatures as compared to the real data
Grahic Jump Location
(a) Estimated k over the combined heating and cooling periods; and (b) cross correlation when considering qji over the combined heating and cooling periods
Grahic Jump Location
Residuals over the combined heating and cooling periods when considering qji as state variables
Grahic Jump Location
Estimated conductivity using an artificial set of measured temperatures as compared to the real data (the lower curve is the time history of the boundary temperature)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In