LAPSE:2023.14802
Published Article
LAPSE:2023.14802
Modeling of Thermal Traces Using Fractional Order, a Discrete, Memory-Efficient Model
March 1, 2023
Abstract
In the paper, the problem of modeling of thermal traces is addressed. The proposed model allows prediction of the behaviour of a thermal mark left by a warm body on cooler ground. In the model, a fractional order (FO) approach is employed. This allows consideration of an inital function (not only a condition in one, initial time instant). The proposed model uses a scalar FO differential equation approximated with the use of Continuous Fraction Expansion (CFE) approximation. This allows maintenance of a relatively small size of the model with good accuracy in the sense of a Mean Square Error (MSE) cost function. Experimental verification confirms good accuracy of the proposed model in modeling of thermal traces.
Keywords
2D heat transfer, CFE approximation, fractional order state equation, initial problem, non integer order systems, thermal camera, thermal trace
Suggested Citation
Oprzędkiewicz K, Rosół M, Mitkowski W. Modeling of Thermal Traces Using Fractional Order, a Discrete, Memory-Efficient Model. (2023). LAPSE:2023.14802
Author Affiliations
Oprzędkiewicz K: Department of Automatic Control and Robotics, AGH University, al. A. Mickiewicza 30, 30059 Krakow, Poland [ORCID]
Rosół M: Department of Automatic Control and Robotics, AGH University, al. A. Mickiewicza 30, 30059 Krakow, Poland [ORCID]
Mitkowski W: Department of Automatic Control and Robotics, AGH University, al. A. Mickiewicza 30, 30059 Krakow, Poland
Journal Name
Energies
Volume
15
Issue
6
First Page
2257
Year
2022
Publication Date
2022-03-19
ISSN
1996-1073
Version Comments
Original Submission
Other Meta
PII: en15062257, Publication Type: Journal Article
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LAPSE:2023.14802
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https://doi.org/10.3390/en15062257
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