Matrix-Based Generalization for Power-Mismatch Newton-Raphson Load Flow Computations With Arbitrary Number of Phases

The standard power-mismatch Newton method is still frequently used for computing load flow due to its simplicity and generality. In this paper, a matrix-based generalization for the usual power flow equations to an arbitrary number of phases is derived. The proposed equations enable computing power...

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Main Authors: Henrique P. Correa, Flavio H. T. Vieira
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9016232/
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spelling doaj-db819aa4ce1b46f38f432714e4c0fd022021-03-30T02:44:27ZengIEEEIEEE Access2169-35362020-01-018402614026810.1109/ACCESS.2020.29767709016232Matrix-Based Generalization for Power-Mismatch Newton-Raphson Load Flow Computations With Arbitrary Number of PhasesHenrique P. Correa0https://orcid.org/0000-0002-4857-990XFlavio H. T. Vieira1https://orcid.org/0000-0003-3572-4036School of Electrical, Mechanical, and Computer Engineering, Federal University of Goiás, Goiânia, BrazilSchool of Electrical, Mechanical, and Computer Engineering, Federal University of Goiás, Goiânia, BrazilThe standard power-mismatch Newton method is still frequently used for computing load flow due to its simplicity and generality. In this paper, a matrix-based generalization for the usual power flow equations to an arbitrary number of phases is derived. The proposed equations enable computing power injections and the Jacobian matrix in terms of submatrices that compose the network admittance matrix. Besides the more compact representation, another advantage of the proposed generalization is execution time reduction compared to the standard scalar formulation. Simulations are carried out to demonstrate the time reduction achieved via the proposed equations.https://ieeexplore.ieee.org/document/9016232/Load flowNewton methodpower-mismatchmatrix equations
collection DOAJ
language English
format Article
sources DOAJ
author Henrique P. Correa
Flavio H. T. Vieira
spellingShingle Henrique P. Correa
Flavio H. T. Vieira
Matrix-Based Generalization for Power-Mismatch Newton-Raphson Load Flow Computations With Arbitrary Number of Phases
IEEE Access
Load flow
Newton method
power-mismatch
matrix equations
author_facet Henrique P. Correa
Flavio H. T. Vieira
author_sort Henrique P. Correa
title Matrix-Based Generalization for Power-Mismatch Newton-Raphson Load Flow Computations With Arbitrary Number of Phases
title_short Matrix-Based Generalization for Power-Mismatch Newton-Raphson Load Flow Computations With Arbitrary Number of Phases
title_full Matrix-Based Generalization for Power-Mismatch Newton-Raphson Load Flow Computations With Arbitrary Number of Phases
title_fullStr Matrix-Based Generalization for Power-Mismatch Newton-Raphson Load Flow Computations With Arbitrary Number of Phases
title_full_unstemmed Matrix-Based Generalization for Power-Mismatch Newton-Raphson Load Flow Computations With Arbitrary Number of Phases
title_sort matrix-based generalization for power-mismatch newton-raphson load flow computations with arbitrary number of phases
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2020-01-01
description The standard power-mismatch Newton method is still frequently used for computing load flow due to its simplicity and generality. In this paper, a matrix-based generalization for the usual power flow equations to an arbitrary number of phases is derived. The proposed equations enable computing power injections and the Jacobian matrix in terms of submatrices that compose the network admittance matrix. Besides the more compact representation, another advantage of the proposed generalization is execution time reduction compared to the standard scalar formulation. Simulations are carried out to demonstrate the time reduction achieved via the proposed equations.
topic Load flow
Newton method
power-mismatch
matrix equations
url https://ieeexplore.ieee.org/document/9016232/
work_keys_str_mv AT henriquepcorrea matrixbasedgeneralizationforpowermismatchnewtonraphsonloadflowcomputationswitharbitrarynumberofphases
AT flaviohtvieira matrixbasedgeneralizationforpowermismatchnewtonraphsonloadflowcomputationswitharbitrarynumberofphases
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