Formation of the Z-form of equations of steady-state modes of energy systems’ complex electric networks

This paper describes the state of the methodological problem of calculating steady-state modes of energy systems’ complex electric networks. It also describes the topological method of forming the Z-form of equations of steady-state modes of complex electric networks. The analytical dependence of th...

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Main Authors: Akhmetbayev Dauren, Akhmetbayev Arman, Zhantlessova Assemgul
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:E3S Web of Conferences
Online Access:https://doi.org/10.1051/e3sconf/20185802021
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author Akhmetbayev Dauren
Akhmetbayev Arman
Zhantlessova Assemgul
author_facet Akhmetbayev Dauren
Akhmetbayev Arman
Zhantlessova Assemgul
author_sort Akhmetbayev Dauren
collection DOAJ
description This paper describes the state of the methodological problem of calculating steady-state modes of energy systems’ complex electric networks. It also describes the topological method of forming the Z-form of equations of steady-state modes of complex electric networks. The analytical dependence of the node impedance matrix with the matrix of the nodal currents distribution coefficients is established. The matrix of infeed coefficients is determined during the initial data preparation. An analytical approach for determining infeed coefficients topological essence is considered. A simplified method for calculating the driving current distribution coefficients is proposed based on all possible graph trees of a complex electric network. An algorithm for forming infeed coefficients matrix in the environment is developed. A technique for obtaining real solutions of the steady-state mode equations is developed. Steady-state modes direct formation significantly reduces the amount of work performed, increases the visibility of the calculation algorithms performance, and ensures fast and reliable iteration convergence. Increases the level of automation and efficiency of the calculations performed.
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spelling doaj.art-d23f8939820d427dacdd21894569d4902022-12-21T22:24:09ZengEDP SciencesE3S Web of Conferences2267-12422018-01-01580202110.1051/e3sconf/20185802021e3sconf_rses2018_02021Formation of the Z-form of equations of steady-state modes of energy systems’ complex electric networksAkhmetbayev Dauren0Akhmetbayev Arman1Zhantlessova Assemgul2Power Supply Department, S.Seifullin Kazakh Agrotechnical UniversityDirection of Information Systems of JSC KaztelecomPower Supply Department, S.Seifullin Kazakh Agrotechnical UniversityThis paper describes the state of the methodological problem of calculating steady-state modes of energy systems’ complex electric networks. It also describes the topological method of forming the Z-form of equations of steady-state modes of complex electric networks. The analytical dependence of the node impedance matrix with the matrix of the nodal currents distribution coefficients is established. The matrix of infeed coefficients is determined during the initial data preparation. An analytical approach for determining infeed coefficients topological essence is considered. A simplified method for calculating the driving current distribution coefficients is proposed based on all possible graph trees of a complex electric network. An algorithm for forming infeed coefficients matrix in the environment is developed. A technique for obtaining real solutions of the steady-state mode equations is developed. Steady-state modes direct formation significantly reduces the amount of work performed, increases the visibility of the calculation algorithms performance, and ensures fast and reliable iteration convergence. Increases the level of automation and efficiency of the calculations performed.https://doi.org/10.1051/e3sconf/20185802021
spellingShingle Akhmetbayev Dauren
Akhmetbayev Arman
Zhantlessova Assemgul
Formation of the Z-form of equations of steady-state modes of energy systems’ complex electric networks
E3S Web of Conferences
title Formation of the Z-form of equations of steady-state modes of energy systems’ complex electric networks
title_full Formation of the Z-form of equations of steady-state modes of energy systems’ complex electric networks
title_fullStr Formation of the Z-form of equations of steady-state modes of energy systems’ complex electric networks
title_full_unstemmed Formation of the Z-form of equations of steady-state modes of energy systems’ complex electric networks
title_short Formation of the Z-form of equations of steady-state modes of energy systems’ complex electric networks
title_sort formation of the z form of equations of steady state modes of energy systems complex electric networks
url https://doi.org/10.1051/e3sconf/20185802021
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AT zhantlessovaassemgul formationofthezformofequationsofsteadystatemodesofenergysystemscomplexelectricnetworks