THE «SMALL» SIGNAL MODE OF A MATHEMATICAL MODEL OF AN ELECTRIC MULTIPOLE WITH MEMRESISTIVE BRANCHES UNDER CONDITIONS OF INTERVAL UNCERTAINTY

Examines the mode of one of the modes of operation of an electric multipole, in accordance with the generally accepted classification, called the small signal mode. The studied multipole has a number of features: a new element of the basic set is taken into account – a memristor, and the calculation is carried out not on the specified values of the parameters of the elements, but on their interval-specified final increments. To solve this problem, it is proposed to use classical methods of hybrid analysis of electronic circuits. The system of equations obtained as a result of the transformations for the «small» signal mode is analyzed using the Gauss-Seidel method adapted to Kahan interval arithmetic. As a result of the study, a computational algorithm for analyzing the operation of an electric multipole in the «small» signal mode is obtained. In conclusion, the article sets the task of verifying the adequacy of the obtained model and the computational algorithm.

Authors: A. V. Bondarev, V. N. Efanov

Direction: Electrical Engineering

Keywords: Mathematical model, electric multipole, interval uncertainty, research

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