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Recursive least squares algorithm for estimation of heat source

Journal Article · · Numerical Heat Transfer. Part A, Applications
;  [1]
  1. Chung-Cheng Inst. of Tech., Tao-Yuan (Taiwan, Province of China). Dept. of System Engineering

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.

Sponsoring Organization:
USDOE
OSTI ID:
418044
Journal Information:
Numerical Heat Transfer. Part A, Applications, Journal Name: Numerical Heat Transfer. Part A, Applications Journal Issue: 6 Vol. 30; ISSN NHAAES; ISSN 1040-7782
Country of Publication:
United States
Language:
English