A Voronoi Diagram‐Based Approach for AC Optimal Power Flow

ABSTRACT The primary goal of optimal power flow (OPF) is to optimise the operation of a power system while meeting the demand and adhering to operational constraints. This paper presents a new approach for AC OPF. First, the approach constructs a Voronoi diagram by distributing multiple sample points representing potential solutions throughout the search space. Then, it recursively adds new sample points, including a tentative optimal point from the continuous gradient‐projection method, a point in the most sparsely populated region to ensure high fidelity and the connecting point, until the stopping criterion is met. The proposed approach is illustrated in detail using the IEEE 9‐bus system and then validated on the IEEE 39‐bus and 118‐bus systems to verify the quality of the obtained solution.

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Publication Details

Journal
IET Generation Transmission & Distribution
Published
2026-01-01
DOI
https://doi.org/10.1049/gtd2.70222
Primary Topic
Optimal Power Flow Distribution
Type
article
Field-Weighted Citation Impact
0.00
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article

A Voronoi Diagram‐Based Approach for AC Optimal Power Flow

Mohammed N. Khamees, Kai Sun
IET Generation Transmission & Distribution
Optimal Power Flow Distribution
article

A Voronoi Diagram‐Based Approach for AC Optimal Power Flow

Mohammed N. Khamees, Kai Sun
article en

Abstract

ABSTRACT The primary goal of optimal power flow (OPF) is to optimise the operation of a power system while meeting the demand and adhering to operational constraints. This paper presents a new approach for AC OPF. First, the approach constructs a Voronoi diagram by distributing multiple sample points representing potential solutions throughout the search space. Then, it recursively adds new sample points, including a tentative optimal point from the continuous gradient‐projection method, a point in the most sparsely populated region to ensure high fidelity and the connecting point, until the stopping criterion is met. The proposed approach is illustrated in detail using the IEEE 9‐bus system and then validated on the IEEE 39‐bus and 118‐bus systems to verify the quality of the obtained solution.

IET Generation Transmission & DistributionVol. 20(1)
Knoxville College (US), University of Tennessee at Knoxville (US)
Openalex Percentile: Top 95%
Optimal Power Flow Distribution
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