RESEARCH PAPER
Fractional Order, State Space Model of the Temperature Field in the PCB Plate
1
Faculty of Electrical Engineering Automatic Control Informatics and Biomedical Engineering, Department of Automatic Control and Robotics, AGH University of Science and Technology, al. A Mickiewicza 30, 30-059 Kraków, Poland
Submission date: 2022-07-09
Acceptance date: 2022-11-06
Online publication date: 2023-03-19
Publication date: 2023-06-01
Acta Mechanica et Automatica 2023;17(2):180-187
KEYWORDS
ABSTRACT
In the paper the fractional order, state space model of a temperature field in a two-dimensional metallic surface is addressed. The proposed model is the two dimensional generalization of the one dimensional, fractional order, state space of model of the heat transfer process. It uses fractional derivatives along time and length. The proposed model assures better accuracy with lower order than models using integer order derivatives. Elementary properties of the proposed model are analysed. Theoretical results are experimentally verifed using data from industrial thermal camera.
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| ISSN: | 1898-4088 |
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