The present study addresses the problem of estimating time-varying time constants associated with thermocouple sensors by a set of basis functions. By expanding each time-varying time constant onto a finite set of basis sequences, the time-varying identification problem reduces to a parameter estimation problem of a time-invariant system. The proposed algorithm, to be called as orthogonal least-squares with basis function expansion algorithm, combines the orthogonal least-squares algorithm with an error reduction ratio test to include significant basis functions into the model, which results in a parsimonious model structure. The performance of the method was compared with a linear Kalman filter. Simulations on engine data have demonstrated that the proposed method performs satisfactorily and is better than the Kalman filter. The new technique has been applied in a Stirling cycle compressor. The sinusoidal variations in time constant are tracked properly using the new technique, but the linear Kalman filter fails to do so. Both model validation and thermodynamic laws confirm that the new technique gives unbiased estimates and that the assumed thermocouple model is adequate.
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January 2009
Research Papers
Identification of Time-Varying Time Constants of Thermocouple Sensors and Its Application to Temperature Measurement
Kenneth Kar,
Kenneth Kar
Department of Mechanical Engineering,
The University of Auckland
, Private Bag-92019, Auckland Mail Center, Auckland-1142, New Zealand
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Akshya K. Swain,
Akshya K. Swain
Department of Electrical and Computer Engineering,
The University of Auckland
, Private Bag-92019, Auckland Mail Center, Auckland-1142, New Zealand
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Robert Raine
Robert Raine
Department of Mechanical Engineering,
The University of Auckland
, Private Bag-92019, Auckland Mail Center, Auckland-1142, New Zealand
Search for other works by this author on:
Kenneth Kar
Department of Mechanical Engineering,
The University of Auckland
, Private Bag-92019, Auckland Mail Center, Auckland-1142, New Zealand
Akshya K. Swain
Department of Electrical and Computer Engineering,
The University of Auckland
, Private Bag-92019, Auckland Mail Center, Auckland-1142, New Zealand
Robert Raine
Department of Mechanical Engineering,
The University of Auckland
, Private Bag-92019, Auckland Mail Center, Auckland-1142, New ZealandJ. Dyn. Sys., Meas., Control. Jan 2009, 131(1): 011005 (10 pages)
Published Online: December 5, 2008
Article history
Received:
June 24, 2007
Revised:
September 7, 2008
Published:
December 5, 2008
Citation
Kar, K., Swain, A. K., and Raine, R. (December 5, 2008). "Identification of Time-Varying Time Constants of Thermocouple Sensors and Its Application to Temperature Measurement." ASME. J. Dyn. Sys., Meas., Control. January 2009; 131(1): 011005. https://doi.org/10.1115/1.3023111
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