NUMERICAL ANALYSIS OF A NONLINEAR RADIOTECHNICAL CIRCUIT
Zauytbek K. Kuralbaev, Assel A. Yerzhan
Pages: 13-30
Published: 1 Jan 2013
Views: 491
Downloads: 53
Abstract: Analysis of nonlinear electronic circuits requires solutions to two important problems: determination of a functional relationship between current and voltage in a nonlinear element, and solution of a mathematical problem related to non-linear equations. The article deals with the solution of these problems for an RC-circuit. To solve the first problem, the results of experiments and their mathematical treatment in order to obtain explicit dependency of current and voltage, expressed in the form of equations of the current-voltage characteristics (CVC) were used. Various nonlinear elements of a radio technical circuit were considered. A number of approximating function types was suggested. The method of least squares was used for the mathematical treatment of experimental data, and the obtained transcendental equations were solved by iterative methods on a computer. Functional dependencies found were used for formulating and solving mathematical problems derived from the mathematical modeling of processes in the RC-circuit. As a result of mathematical modeling of the electronic circuit with a nonlinear element, the Cauchy problem for a system of nonlinear differential equations was obtained. The numerical solution to the mathematical problem allowed conducting a comparative analysis of various special cases of the effect a nonlinear element has on the process in an RC-circuit.
Keywords: radio systems, the transition process, the electrical circuit, circuit theory
Cite this article: Zauytbek K. Kuralbaev, Assel A. Yerzhan. NUMERICAL ANALYSIS OF A NONLINEAR RADIOTECHNICAL CIRCUIT. Journal of International Scientific Publications: Materials, Methods & Technologies 7, 13-30 (2013). https://www.scientific-publications.net/en/article/1003134/
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