An approach to determine a pair of power-flow solutions related to the voltage stability of unbalanced three-phase networks.

This paper proposes an approach to determine a pair of power-flow solutions associated with the voltage stability of unbalanced three-phase networks. The approach is derived from the observations of the multiple three-phase power-flow solutions of a two-bus network. It is found that there are two pa...

Full description

Bibliographic Details
Main Authors: Abdel-Akher, Mamdouh, Ahmad, Mahrous E., Mahanty, Rabindra N., Nor, Khaled Mohamed
Format: Article
Language:English
Published: IEEE 2008
Subjects:
Online Access:http://eprints.utm.my/7571/
http://eprints.utm.my/7571/1/Khaled_Mohamed_Nor_2008_Approach_To_Determine_A_Pair.pdf
_version_ 1848891493324947456
author Abdel-Akher, Mamdouh
Ahmad, Mahrous E.
Mahanty, Rabindra N.
Nor, Khaled Mohamed
author_facet Abdel-Akher, Mamdouh
Ahmad, Mahrous E.
Mahanty, Rabindra N.
Nor, Khaled Mohamed
author_sort Abdel-Akher, Mamdouh
building UTeM Institutional Repository
collection Online Access
description This paper proposes an approach to determine a pair of power-flow solutions associated with the voltage stability of unbalanced three-phase networks. The approach is derived from the observations of the multiple three-phase power-flow solutions of a two-bus network. It is found that there are two pairs of solutions at the load bus. The plot of the voltage magnitude of each pair against the power demand at the load bus shows that two possible PV curves can be constructed for each phase. Each of the two curves is a combination of the two pairs of solutions. One of these curves is associated with the voltage stability of the system whereas the other is associated with the imbalance of the three-phase network. Based on the above observations, a constant impedance load model is utilized to calculate the solution associated with the voltage stability of the study system. Then the equivalent complex power load demand is used to calculate the two pairs of solutions, i.e., the multiple three-phase power-flow solutions. Simulation studies have been carried out for the multiple solutions. The results show that there is a point which is directly proportional to the imbalance in the power demand at the load bus. This point is used to set a criterion to differentiate between the two PV curves. Hence, the PV curve which is related to the voltage stability can be determined without the assumption of the linear load model at the start of the study.
first_indexed 2025-11-15T20:58:50Z
format Article
id utm-7571
institution Universiti Teknologi Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T20:58:50Z
publishDate 2008
publisher IEEE
recordtype eprints
repository_type Digital Repository
spelling utm-75712010-06-01T15:53:31Z http://eprints.utm.my/7571/ An approach to determine a pair of power-flow solutions related to the voltage stability of unbalanced three-phase networks. Abdel-Akher, Mamdouh Ahmad, Mahrous E. Mahanty, Rabindra N. Nor, Khaled Mohamed TK Electrical engineering. Electronics Nuclear engineering This paper proposes an approach to determine a pair of power-flow solutions associated with the voltage stability of unbalanced three-phase networks. The approach is derived from the observations of the multiple three-phase power-flow solutions of a two-bus network. It is found that there are two pairs of solutions at the load bus. The plot of the voltage magnitude of each pair against the power demand at the load bus shows that two possible PV curves can be constructed for each phase. Each of the two curves is a combination of the two pairs of solutions. One of these curves is associated with the voltage stability of the system whereas the other is associated with the imbalance of the three-phase network. Based on the above observations, a constant impedance load model is utilized to calculate the solution associated with the voltage stability of the study system. Then the equivalent complex power load demand is used to calculate the two pairs of solutions, i.e., the multiple three-phase power-flow solutions. Simulation studies have been carried out for the multiple solutions. The results show that there is a point which is directly proportional to the imbalance in the power demand at the load bus. This point is used to set a criterion to differentiate between the two PV curves. Hence, the PV curve which is related to the voltage stability can be determined without the assumption of the linear load model at the start of the study. IEEE 2008 Article PeerReviewed application/pdf en http://eprints.utm.my/7571/1/Khaled_Mohamed_Nor_2008_Approach_To_Determine_A_Pair.pdf Abdel-Akher, Mamdouh and Ahmad, Mahrous E. and Mahanty, Rabindra N. and Nor, Khaled Mohamed (2008) An approach to determine a pair of power-flow solutions related to the voltage stability of unbalanced three-phase networks. IEEE Transactions on Power Systems, 23 (3). pp. 1249-1257. ISSN 0885-8950 http://dx.doi.org/10.1109/TPWRS.2008.926476 10.1109/TPWRS.2008.926476
spellingShingle TK Electrical engineering. Electronics Nuclear engineering
Abdel-Akher, Mamdouh
Ahmad, Mahrous E.
Mahanty, Rabindra N.
Nor, Khaled Mohamed
An approach to determine a pair of power-flow solutions related to the voltage stability of unbalanced three-phase networks.
title An approach to determine a pair of power-flow solutions related to the voltage stability of unbalanced three-phase networks.
title_full An approach to determine a pair of power-flow solutions related to the voltage stability of unbalanced three-phase networks.
title_fullStr An approach to determine a pair of power-flow solutions related to the voltage stability of unbalanced three-phase networks.
title_full_unstemmed An approach to determine a pair of power-flow solutions related to the voltage stability of unbalanced three-phase networks.
title_short An approach to determine a pair of power-flow solutions related to the voltage stability of unbalanced three-phase networks.
title_sort approach to determine a pair of power-flow solutions related to the voltage stability of unbalanced three-phase networks.
topic TK Electrical engineering. Electronics Nuclear engineering
url http://eprints.utm.my/7571/
http://eprints.utm.my/7571/
http://eprints.utm.my/7571/
http://eprints.utm.my/7571/1/Khaled_Mohamed_Nor_2008_Approach_To_Determine_A_Pair.pdf