METHOD FOR DETERMINING AVERAGE VOLUME PARAMETERS OF THE DYNAMICS OF THE ELECTROTHERMAL STATE OF MEDIA USING THE GAUSS – OSTROGRADSKY THEOREM

In this paper, using the methodology of spatial averaging of partial differential equations, based on the application of the divergence theorem, the average volume parameters of the dynamics of the electrothermal state of media associated with the geometric shape of the medium limited in space are determined. It is shown that the volume-averaged parameters of the dynamics of the electrothermal state of media can be represented by the parameters averaged over the surface surrounding the volume. This allows us to significantly simplify the analysis of the final results of research into the processes of interaction of solar radiation with the active surfaces of elements of solar energy systems, in particular, the influence of the surrounding medium.

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Publication Details

Journal
Vidnovluvana energetika
Published
2024-12-10
DOI
https://doi.org/10.36296/1819-8058.2024.4(79).64-67
Primary Topic
Electric Power Systems and Control
Type
article
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article

METHOD FOR DETERMINING AVERAGE VOLUME PARAMETERS OF THE DYNAMICS OF THE ELECTROTHERMAL STATE OF MEDIA USING THE GAUSS – OSTROGRADSKY THEOREM

Т. Surzhyk, І. О. Шейко, С. В. Матях
Vidnovluvana energetika
Electric Power Systems and Control
article

METHOD FOR DETERMINING AVERAGE VOLUME PARAMETERS OF THE DYNAMICS OF THE ELECTROTHERMAL STATE OF MEDIA USING THE GAUSS – OSTROGRADSKY THEOREM

Т. Surzhyk, І. О. Шейко, С. В. Матях
article en

Abstract

In this paper, using the methodology of spatial averaging of partial differential equations, based on the application of the divergence theorem, the average volume parameters of the dynamics of the electrothermal state of media associated with the geometric shape of the medium limited in space are determined. It is shown that the volume-averaged parameters of the dynamics of the electrothermal state of media can be represented by the parameters averaged over the surface surrounding the volume. This allows us to significantly simplify the analysis of the final results of research into the processes of interaction of solar radiation with the active surfaces of elements of solar energy systems, in particular, the influence of the surrounding medium.

Vidnovluvana energetika(4(79))
National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” (UA)
Affordable and clean energy
Openalex Percentile: Top 80%
Electric Power Systems and Control
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