MATHEMATICAL MODELING OF THERMAL PROCESSES IN SPACE FRAMES OF POWER DEVICES

Authors

  • Анатолий Павлович Слесаренко The A.N. Podgorny Institute for Mechanical Engineering Problems of the NAS of Ukraine. 2/10 Dm. Pozharsky St., Kharkiv, 61046, Ukraine, Ukraine
  • Юлия Олеговна Кобринович The A.N. Podgorny Institute for Mechanical Engineering Problems of the NAS of Ukraine. 2/10 Dm. Pozharsky St., Kharkiv, 61046, Ukraine, Ukraine
  • Андрей Александрович Марченко The A.N. Podgorny Institute for Mechanical Engineering Problems of the NAS of Ukraine. 2/10 Dm. Pozharsky St., Kharkiv, 61046, Ukraine, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2012.4517

Keywords:

mathematical modeling, thermal processes, regional-structural method, regional-analytical decision structure, S-codes.

Abstract

The article represents the effectiveness of the S-codes in the regional-analytical structures of thermal conductivity problems decision by giving the example of calculation of stationary thermal field of the magnetic conductor of a transformer. The finite integral transformation, regional-structural and projection methods are applied for jointly decision. Decision structures exactly satisfy the thermal conductivity equation in the regions and the junction conditions of the contact boundaries, and include S-codes, accurately accounting the geometry of the studied area. Regionalanalytical structures are universal regarding the model parameters. Thus, it is possible to use them for multivariate diagnosis and forecasting of thermal conditions in three-dimensional structures. Results of a decision can be represented in an approximate analytical form, so that a compact database of thermal behavior of structures can be created. Regional-analytical decision structures in boundary-value problems have more natural approximation apparatus than analytical structures have in a single expression, which makes them a useful tool for modeling of compound objects.

Author Biographies

Анатолий Павлович Слесаренко, The A.N. Podgorny Institute for Mechanical Engineering Problems of the NAS of Ukraine. 2/10 Dm. Pozharsky St., Kharkiv, 61046, Ukraine

Doctor of physical-mathematical sciences, professor, leading researcher, laureate of State Prize of Ukraine

Юлия Олеговна Кобринович, The A.N. Podgorny Institute for Mechanical Engineering Problems of the NAS of Ukraine. 2/10 Dm. Pozharsky St., Kharkiv, 61046, Ukraine

Master's degree, post-graduate student

Андрей Александрович Марченко, The A.N. Podgorny Institute for Mechanical Engineering Problems of the NAS of Ukraine. 2/10 Dm. Pozharsky St., Kharkiv, 61046, Ukraine

Master's degree, post-graduate student

References

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Published

2012-10-09

How to Cite

Слесаренко, А. П., Кобринович, Ю. О., & Марченко, А. А. (2012). MATHEMATICAL MODELING OF THERMAL PROCESSES IN SPACE FRAMES OF POWER DEVICES. Eastern-European Journal of Enterprise Technologies, 5(4(59), 4–9. https://doi.org/10.15587/1729-4061.2012.4517

Issue

Vol. 5 No. 4(59) (2012): Mathematics and cybernetics - fundamental and applied aspects

Section

Mathematics and Cybernetics - applied aspects

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Copyright (c) 2014 Анатолий Павлович Слесаренко, Юлия Олеговна Кобринович, Андрей Александрович Марченко

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