The validation of the robust input estimation approach to two-dimensional inverse heat conduction problems

Journal Article · Wed Mar 01 04:00:00 EST 2000 · Numerical Heat Transfer. Part B, Fundamentals

OSTI ID:20020777

Tuan, P C; Ju, M C

A novel adaptive and robust input estimation inverse methodology of estimating the time-varying unknown heat flux, named as the input, on the two active boundaries of a 2-D inverse heat conduction problem is presented. The algorithm includes using the Kalman filter to propose a regression model between the residual innovation and the two thermal unknown boundaries flux through given 2-D heat conduction state-space models and noisy measurement sequence. Based on this regression equation, a recursive least-square estimator (RLSE) weighted by the forgetting factor is proposed to on-line estimate these unknowns. The adaptive and robust weighting technique is essential since unknowns input are time-varied and have unpredictable changing status. In this article, the authors provide the bandwidth analysis together with bias and variance tests to construct an efficient and robust forgetting factor as the ratio between the standard deviation of measurement and observable bias innovation at each time step. Herein, the unknowns are robustly and adaptively estimated under the system involving measurement noise, process error, and unpredictable change status of time-varying unknowns. The capabilities of the proposed algorithm are demonstrated through the comparison with the conventional input estimation algorithm and validated by two benchmark performance tests in 2-D cases. Results show that the proposed algorithm not only exhibits superior robust capability but also enhances the estimation performance and highly facilitates practical implementation.

• Research Organization: Chung Cheng Inst. of Tech., Tahsi, Taoyuan (TW)
• OSTI ID: 20020777
• Journal Information: Numerical Heat Transfer. Part B, Fundamentals, Journal Name: Numerical Heat Transfer. Part B, Fundamentals Journal Issue: 2 Vol. 37; ISSN 1040-7790; ISSN NHBFEE
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
ALGORITHMS
DIGITAL FILTERS
HEAT FLUX
LEAST SQUARE FIT
REGRESSION ANALYSIS
THERMAL CONDUCTION
TWO-DIMENSIONAL CALCULATIONS