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...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
IEEE
2020-01-01
|
Series: | IEEE Access |
Subjects: | |
Online Access: | https://ieeexplore.ieee.org/document/9016232/ |
id |
doaj-db819aa4ce1b46f38f432714e4c0fd02 |
---|---|
record_format |
Article |
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 |
_version_ |
1724184681863184384 |