<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Fractional Order, State Space Model of the Temperature Field in the PCB Plate

Department of Automatic Control and Robotics

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Fractional Order, State Space Model of the Temperature Field in the PCB Plate"}

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...

Fractional Order, State Space Model of the Temperature Field in the PCB Plate

Published Online: Mar 19, 2023

Page range: 180 - 187

Received: Jul 09, 2022

Accepted: Nov 06, 2022

DOI: https://doi.org/10.2478/ama-2023-0020

Keywords
fractional order systems, fractional order state equation, temperature field, heat transfer, thermal camera

© 2023 Krzysztof Oprzędkiewicz et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fractional Order, State Space Model of the Temperature Field in the PCB Plate

Published Online: Mar 19, 2023

Page range: 180 - 187

Received: Jul 09, 2022

Accepted: Nov 06, 2022

DOI: https://doi.org/10.2478/ama-2023-0020

Keywordsfractional order systems, fractional order state equation, temperature field, heat transfer, thermal camera

© 2023 Krzysztof Oprzędkiewicz et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
fractional order systems, fractional order state equation, temperature field, heat transfer, thermal camera