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Article information
2017 , Volume 22, ¹ 3, p.32-44
Korneeva A.A., Shaidurov V.V.
Numerical analysis of temperature data from film thermistors of electronic boards
In this paper, the printed circuit board with electronic components is considered as a geometric structure consisted of rectangular cells coated by thin film thermistors whose local resistance essentially depends on the local temperature of the cell. Resistance measurement of long conductors is not carried out locally but rather on the horizontal and vertical segments. Therefore, the amount of these data on the resistance of the conductors is considerably less than the number of local resistances of all cells. However, using physical and qualitative considerations in some cases, it is possible to obtain the numerical solution. In particular, during functioning of the board, an overheating of individual elements may occur, resulting in temperature rise of the respective cells with corresponding increase of resistance of some circuit segments. In the paper, the problem for identifying such cells with overheating as well as their temperature using two additional physical considerations is set. Firstly, while overheating an element, the temperature of any cell cannot reduce. Secondly, the temperature gradient is mitigated by the heat transfer between the elements and cells. The mathematical formulation of these considerations leads to a non-singular system of linear equations for the determining of the overheating cells and their approximate temperature. The presented algorithms and computational experiments demonstrate the applicability of this approach.
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Keywords: electronic boards, film thermistors, physical-mathematical model, numerical algorithms
Author(s):
Korneeva Anna Anatolyevna
Position: Senior Fellow
Office: Siberian Federal University, Institute of space and information technology
Address: 660041, Russia, Krasnoyarsk, 79 Svobodny pr.
E-mail: korneeva_ikit@mail.ru
SPIN-code: 4798-1758Shaidurov Vladimir Victorovich
Dr. , Correspondent member of RAS, Professor
Position: Head of Research
Office: Federal Research Center Krasnoyarsk Science Center of the Siberian Branch of the Russian Academy of Science
Address: 660036, Russia, Krasnoyarsk 36, Akademgorodok 50, building 44
Phone Office: (391) 243 27 56
E-mail: shaidurov04@gmail.com
SPIN-code: 7075-6423 References:
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Bibliography link:
Korneeva A.A., Shaidurov V.V. Numerical analysis of temperature data from film thermistors of electronic boards // Computational technologies. 2017. V. 22. ¹ 3. P. 32-44
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