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



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