ISSN 1991-2927

ACP № 3 (65) 2021

Author: "Ivan Alekseevich Prokofev"

Sergei Aleksandrovich Kurganov, Doctor of Sciences in Engineering; graduated from Ulyanovsk Polytechnic Institute with a degree in Design and Production of Radio Equipment; Professor of the Department of Electric Supply of Ulyanovsk State Technical University; an author of articles and monographs in the field of theoretical foundations of electrical engineering. e-mail: sak@ulstu.ruS.A. Kurganov,

Ivan Alekseevich Prokofev, graduated from Ulyanovsk State Technical University with Bachelor’s degree in Electric Power and Electrical Engineering; Master Student of the Department of Electric Supply of UlSTU; an author of articles in the field of theoretical foundations of electrical engineering. e-mail: prokofev.ivan.2015@yandex.ruI.A. Prokofev

Formula for finding the sensitivity functions of linear electrical circuits in parts58_14.pdf

A formula for finding symbolic expressions of sensitivity of arbitrary linear electrical circuits in parts by dividing the circuit into subsystems is proposed. Electrical circuits can contain both bipolar elements and controlled sources (UIs) of voltage and current including ideal UIs – nullors. The scheme division is performed on the basis of an equivalent multidimensional generator (EMG) by the scheme-algebraic reduction method. The circuit sensitivity formula contains the sensitivity quotients of the EMG elements or their numerators, which are found using the difference circuit-algebraic sensitivity formula. The proposed formula excludes reducing multipliers and zero terms, and it requires to find the symbolic functions of relative sensitivity of the disclosure of a much smaller number of determinants of subcircuits-circuit minors than the known sensitivity formula based on bisection of determinants.

Electrical circuits, sensitivity, symbolic function, piecemeal analysis, circuit determinants, partial sensitivity, equivalent multidimensional generator, circuit minor.

2019_ 4

Sections: Electrical engineering and electronics

Subjects: Electrical engineering and electronics.

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