Abstract
Thermal processes in electronic systems are subjected to thermal feedback is described by matrix nonlinear equations with polynomials on the right side. The solving such nonlinear matrix equations is very difficult task. This article describes a method for solving such equations. According to the developed method, the system of nonlinear interconnected equations is reduced to a system of independent algebraic equations, each of one is easy to solve. The method has a significant scientific novelty and has no analogues in the existing literature currently. This article describes a mathematical model of an electronic system with electronic components which have temperature-dependent power consumption and thermal feedback. Comparison of the results obtained by the developed and numerical methods show their complete match.
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Madera, A.G., Grebennikova, E.K. (2021). Thermal Processes with Thermal Feedback in Electronic Systems and Their Modeling by Nonlinear Matrix Equations. In: Silhavy, R., Silhavy, P., Prokopova, Z. (eds) Software Engineering Application in Informatics. CoMeSySo 2021. Lecture Notes in Networks and Systems, vol 232. Springer, Cham. https://doi.org/10.1007/978-3-030-90318-3_14
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DOI: https://doi.org/10.1007/978-3-030-90318-3_14
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