Simulation approach to the study and modelling of electrical converters degradation processes

Аuthors

Lisov A. A.^*, Chernova T. A.^**, Gorbunov M. S.^***

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: 3141220@mail.ru
**e-mail: chernova3244@gmail.com
***e-mail: alfred.hammersmit@yandex.ru

Abstract

Under real operation conditions of electrical industry products, the degradation variance of their features should be allowed for. The subject of research is various kinds of electrical converters which even slight degradation results in serious technogenic disasters. The paper considers and suggests basic principles for such type of problems solution, and establishes a number of degradation variances regularities.

Characteristic parameters variances analysis allows separate out four most characteristic types of functions for the named regularities description: entire irrational functions or polynomials, fractional rational functions, and functions for processes with description. Evaluation of degradation variances simulation results supposes tabulation of the measured values and selection of such an approximating function which would ensure it the least mean square deviation fr om the tabular dependence. The OLS method ensures the best results for solving the problems of such type.

Analysis the considered functions, describing the degradation process, allows state the following: all functions have the initial value, known for the unit in use fr om the its datasheet. Thus, in the course of degradation variance studies it is expedient to examine only the function degradation variations, instead of the whole function. Initial value of the deviations function equals to zero, and its plot passes through the origin of coordinates. While determining the number of parameters of approximation functions, their number would be one less for deviations function. Thus, the order of normal OLS system reduces.

The residual resource prediction was performed based on solving non-linear equation, wh ere degradation deviation function takes the normative allowable values. While solving the equation, the function arguments lim it value should be defined as an instant of failure. The evaluation of the residual resource was performed based on the instant of failure.

Keywords:

electrical converters degradation processes simulation, types of nonlinear characteristic parameters degradation variance functions, least square modeling method of degradation processes, electrical devices residual resource

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