PCB板温度场的分数阶状态空间模型

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-03-19 DOI:10.2478/ama-2023-0020

K. Oprzȩdkiewicz, W. Mitkowski, M. Rosół

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引用次数: 0

摘要

本文讨论了二维金属表面温度场的分数阶状态空间模型。所提出的模型是传热过程模型的一维分数阶状态空间的二维推广。它使用沿时间和长度的分数导数。与使用整数阶导数的模型相比，所提出的模型在较低阶下确保了更好的精度。分析了该模型的基本性质。利用工业热像仪的数据对理论结果进行了实验验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.