Estimating the Basin of Attraction for the Power Flow Equations in Power Distribution Networks

This letter presents an inner and outer estimation for the basin of attraction of the power flow in power distribution networks. The proposed methodology can be used to define the convergence region of the power flow algorithm and to estimate the minimum and maximum voltage of the grid without expli...

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Published in:IEEE transactions on power systems Vol. 39; no. 6; pp. 7457 - 7460
Main Author: Garces-Ruiz, Alejandro
Format: Journal Article
Language:English
Published: New York IEEE 01.11.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
Convergence
Electric power distribution
Estimation
Fixed-point algorithm
Flow equations
Load flow
Polynomials
Power flow
quasi-dynamic power flow
Renewable energy sources
three-phase unbalanced power distribution networks
Vectors
Voltage
ISSN:0885-8950, 1558-0679
Online Access:Get full text
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Abstract This letter presents an inner and outer estimation for the basin of attraction of the power flow in power distribution networks. The proposed methodology can be used to define the convergence region of the power flow algorithm and to estimate the minimum and maximum voltage of the grid without explicitly solving the power flow equations. Numerical experiments in the three-phase unbalanced IEEE 906 nodes test system show the use of the proposed methodology. Results include convergence analysis as well as a quasi-dynamic simulation considering 1440 different scenarios of load and renewable power generation.
AbstractList This letter presents an inner and outer estimation for the basin of attraction of the power flow in power distribution networks. The proposed methodology can be used to define the convergence region of the power flow algorithm and to estimate the minimum and maximum voltage of the grid without explicitly solving the power flow equations. Numerical experiments in the three-phase unbalanced IEEE 906 nodes test system show the use of the proposed methodology. Results include convergence analysis as well as a quasi-dynamic simulation considering 1440 different scenarios of load and renewable power generation.
Author Garces-Ruiz, Alejandro
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  organization: Department of Electric Power Engineering, Universidad Tecnológica de Pereira, Pereira, Colombia
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Cites_doi 10.1109/TPWRS.2017.2760011
10.1109/TCSII.2017.2751542
10.1109/TPWRS.2020.2974164
10.1142/9095
10.1016/j.epsr.2016.02.008
10.1109/TPWRS.2013.2282086
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SubjectTerms Algorithms
Convergence
Electric power distribution
Estimation
Fixed-point algorithm
Flow equations
Load flow
Polynomials
Power flow
quasi-dynamic power flow
Renewable energy sources
three-phase unbalanced power distribution networks
Vectors
Voltage
Title Estimating the Basin of Attraction for the Power Flow Equations in Power Distribution Networks
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