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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 30, 1996 - Issue 6
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Original Articles

RECURSIVE LEAST SQUARES ALGORITHM FOR ESTIMATION OF HEAT SOURCE

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Pages 619-634 | Received 20 Nov 1995, Accepted 17 Apr 1996, Published online: 15 Mar 2007
 

Abstract

A recursive least squares algorithm (RLSA) is used to estimate a timewise variation plane heat source inside a plate with insulated boundaries, The one-dimensional heat conduction equation with heat source at known location is expressed in continuous-time state equations. By virtue of the Kalman filter adaptor with the input estimation technique, the residual innovation sequence is generated to estimate the strength of a time-varying plane heat source. In order to examine the accuracy of the method, comparison is made with the results of the conjugate gradient method. The RLSA method is found to be more accurate than the conjugate gradient method for these special test cases,

Notes

Address correspondence to Dr. Ching-China Ji, Department of System Engineering, Chung-Cheng Institute of Technology, Tashi, Taoyuan 33509, Taiwan, Republic of China.

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