Open AccessCalculation of the optimal number of redundant elements of power systems using the Lagrange multipliers method and information theory
Author(s) -
D. J. Karandeev,
А. С. Дулесов,
Руслан Иванович Баженов,
I J Karandeeva
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/862/6/062026
Subject(s) - lagrange multiplier , reliability (semiconductor) , redundancy (engineering) , mathematical optimization , computer science , measure (data warehouse) , random variable , information theory , value (mathematics) , power (physics) , mathematics , reliability engineering , data mining , engineering , statistics , physics , quantum mechanics , machine learning , operating system
The article analyzes the applicability of information theory tools in solving problems of analysis of functioning engineering networks. This applicability is justified by the laws of distribution of random variables. There is a need to develop methods for determining the number of redundant elements. A method for calculating the optimal number of redundant elements of an engineering network based on the method of Lagrange multipliers taking into account the measure of information uncertainty is proposed. At the end of the article, an example of calculating the number of redundant elements that should be added to the system to increase the system reliability level to the required value is shown.