CALCULATION OF THREE-PHASE CIRCUIT WITH ARBITRARY NUMBER OF LOADS

An algorithm for calculating the normal and emergency modes of three-phase circuits with distributed loads is elaborated. We propose to divide the required unknown currents into two groups: load currents are considered as principal, and currents in the other circuit branches are considered as comple...

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Main Author: Berzan V.
Format: Article
Language:English
Published: Academy of Sciences of Moldova 2014-08-01
Series:Problems of the Regional Energetics
Subjects:
Online Access:http://journal.ie.asm.md/assets/files/07_02_25_2014.pdf
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author Berzan V.
author_facet Berzan V.
author_sort Berzan V.
collection DOAJ
description An algorithm for calculating the normal and emergency modes of three-phase circuits with distributed loads is elaborated. We propose to divide the required unknown currents into two groups: load currents are considered as principal, and currents in the other circuit branches are considered as complementary. This approach allows calculating at the first phase the load currents, and then other currents using the first Kirchhoff's law. The form of the matrix equation and rules of matrix coefficients composition for each phase depends on the number of loads connected to the phases of the circuit. Matrix equation includes 3n unknown currents. The proposed method allows calculating both the symmetric and asymmetric modes in the three-phase unbalanced network, using the same calculation algorithm. The fault modes, such as a single-phase, two-phase, three-phase and phase-to-phase short-circuits as well as the open circuits with some phase loads (simulation of the no-load mode in any node and in any phase of the circuit), could be also calculated.
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spelling doaj-art-e384558a5324450cb757eff698c5c8fe2025-08-20T02:50:56ZengAcademy of Sciences of MoldovaProblems of the Regional Energetics1857-00702014-08-012014-22(25)3037CALCULATION OF THREE-PHASE CIRCUIT WITH ARBITRARY NUMBER OF LOADSBerzan V. 0Institute of Power Engineering of the Academy of Sciences of MoldovaAn algorithm for calculating the normal and emergency modes of three-phase circuits with distributed loads is elaborated. We propose to divide the required unknown currents into two groups: load currents are considered as principal, and currents in the other circuit branches are considered as complementary. This approach allows calculating at the first phase the load currents, and then other currents using the first Kirchhoff's law. The form of the matrix equation and rules of matrix coefficients composition for each phase depends on the number of loads connected to the phases of the circuit. Matrix equation includes 3n unknown currents. The proposed method allows calculating both the symmetric and asymmetric modes in the three-phase unbalanced network, using the same calculation algorithm. The fault modes, such as a single-phase, two-phase, three-phase and phase-to-phase short-circuits as well as the open circuits with some phase loads (simulation of the no-load mode in any node and in any phase of the circuit), could be also calculated.http://journal.ie.asm.md/assets/files/07_02_25_2014.pdfMatrix methodathree-phase circuit
spellingShingle Berzan V.
CALCULATION OF THREE-PHASE CIRCUIT WITH ARBITRARY NUMBER OF LOADS
Problems of the Regional Energetics
Matrix method
a
three-phase circuit
title CALCULATION OF THREE-PHASE CIRCUIT WITH ARBITRARY NUMBER OF LOADS
title_full CALCULATION OF THREE-PHASE CIRCUIT WITH ARBITRARY NUMBER OF LOADS
title_fullStr CALCULATION OF THREE-PHASE CIRCUIT WITH ARBITRARY NUMBER OF LOADS
title_full_unstemmed CALCULATION OF THREE-PHASE CIRCUIT WITH ARBITRARY NUMBER OF LOADS
title_short CALCULATION OF THREE-PHASE CIRCUIT WITH ARBITRARY NUMBER OF LOADS
title_sort calculation of three phase circuit with arbitrary number of loads
topic Matrix method
a
three-phase circuit
url http://journal.ie.asm.md/assets/files/07_02_25_2014.pdf
work_keys_str_mv AT berzanv calculationofthreephasecircuitwitharbitrarynumberofloads