TY  - JOUR
T1  - Mathematical Modelling of the Stochastic Nonlinear Thermal Processes in
Electronic Systems by the Method of Pseudoinverse Matrix
AU - G. Madera, Alexander 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 23
SP  - 8786
EP  - 8796
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.8786.8796
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.8786.8796
KW  - Pseudoinverse matrix
KW  -thermal processes
KW  -electronic system
KW  -nonlinear
KW  -stochastic
KW  -mathematical
model
AB  - Thermal processes in electronic systems are stochastic and nonlinear. The stochasticity of thermal
processes in electronic systems can be caused by both external stochastic environmental factors and internal
stochastic factors of the electronic systems. Methods existing in the literature allow modeling thermal processes
caused only by external stochastic factors. At the same time, there are no methods that would have the ability
to simulate thermal processes, taking into account both nonlinearities and stochasticities of external and internal
factors. In this study is developed a method that allows us to simulate stationary stochastic thermal processes
in electronic systems taking into account the stochasticity of both external and internal factors and nonlinearity
too. The method is based on the concept of a pseudoinverse matrix as well as on the decomposition of a
stochastic temperature-dependent matrix of thermal conductivities into a product of two matrices. One of this
matrix depends only on temperature and the other matrix depends only on stochastic factors. The application
of the proposed method to the design of real electronic systems has shown its adequacy and efficiency
sufficient for engineering practice.
ER  -