Engineering-Based Steady-State Analysis of Voltage Profile and Power Flow in Three-Phase Unbalanced Distribution Systems
Abstract
This study presents a detailed engineering-based assessment of the steady-state electrical behavior of three-phase unbalanced distribution systems. The modeling and simulation were conducted on a professional-grade engineering platform, enabling high resolution analysis of phase asymmetries inherent in the system. Power flow distribution, voltage profiles, regulator responses, and system losses were examined on a per-phase basis to capture the impact of asymmetrical loading conditions. According to the simulation results, voltage unbalance factors reached up to 1.2% with voltage deviations exceeding 2.5% at certain nodes, and significant drops were observed especially in phase C at terminal busbars. Most of the total active and reactive power losses were concentrated in heavily loaded phases and long feeder branches, and these losses were calculated as 111.06 kW and 324.65 kVAr, respectively. The findings provide a technically based reference for understanding the voltage behavior in unbalanced systems. In addition, this study contributes to the development of phase balancing strategies, regulator control algorithms, and advanced load integration scenarios within distribution networks. The findings provide a technically based reference for understanding the voltage behavior in unbalanced systems and serve as a foundation for future investigations into harmonics, probabilistic load dynamics, and renewable energy integration.
Keywords
References
- 1. D. V. Lindberg, and H. K. H. Lee, “Optimization under constraints by applying an asymmetric entropy measure,” J. Comput. Graph. Stat., vol. 24, no. 2, pp. 379–393, Jun. 2015.
- 2. M. Dubey, S. K. Sharma, and R. Saxena, “Solar power-driven position sensorless control of permanent magnet brushless DC motor for refrigeration plant,” Int. Trans. Electr. Energy Syst., vol. 30, no. 7, e12408, 2020.
- 3. A. Saeed, and M. A. Awadallah, “Optimal phase balancing of unbalanced distribution feeders using advanced heuristics,” Electr. Power Syst. Res., vol. 160, pp. 182–193, 2018.
- 4. D. Das, “Series compensation and phase balancing of unbalanced radial distribution systems,” IEEE Trans. Power Deliv., vol. 16, no. 2, pp. 354–359, 2001.
- 5. IEEE Power Quality Standards Committee, IEEE Recommended Practice for Monitoring Electric Power Quality, IEEE Std 1159–2019, 2019.
- 6. M. H. J. Bollen, Understanding Power Quality Problems: Voltage Sags and Interruptions. IEEE Press – Wiley, 2000.
- 7. T. J. Smith, and R. A. Walling, “Voltage unbalance impacts in electric distribution systems,” IEEE Trans. Ind. Appl., vol. 49, no. 3, pp. 1499–1507, 2013.
- 8. K. Nara, and H. Ishihara, “Voltage control using phase unbalance detection in distribution systems,” Electr. Eng. Jpn., vol. 181, no. 2, pp. 28–37, 2012.
Details
Primary Language
English
Subjects
Electrical Energy Transmission, Networks and Systems
Journal Section
Research Article
Authors
Publication Date
October 30, 2025
Submission Date
July 11, 2025
Acceptance Date
August 12, 2025
Published in Issue
Year 2025 Volume: 5 Number: 3
APA
Avli Fırış, F. (2025). Engineering-Based Steady-State Analysis of Voltage Profile and Power Flow in Three-Phase Unbalanced Distribution Systems. Turkish Journal of Electrical Power and Energy Systems, 5(3), 176-184. https://doi.org/10.5152/tepes.2025.25023
AMA
1.Avli Fırış F. Engineering-Based Steady-State Analysis of Voltage Profile and Power Flow in Three-Phase Unbalanced Distribution Systems. TEPES. 2025;5(3):176-184. doi:10.5152/tepes.2025.25023
Chicago
Avli Fırış, Fatma. 2025. “Engineering-Based Steady-State Analysis of Voltage Profile and Power Flow in Three-Phase Unbalanced Distribution Systems”. Turkish Journal of Electrical Power and Energy Systems 5 (3): 176-84. https://doi.org/10.5152/tepes.2025.25023.
EndNote
Avli Fırış F (October 1, 2025) Engineering-Based Steady-State Analysis of Voltage Profile and Power Flow in Three-Phase Unbalanced Distribution Systems. Turkish Journal of Electrical Power and Energy Systems 5 3 176–184.
IEEE
[1]F. Avli Fırış, “Engineering-Based Steady-State Analysis of Voltage Profile and Power Flow in Three-Phase Unbalanced Distribution Systems”, TEPES, vol. 5, no. 3, pp. 176–184, Oct. 2025, doi: 10.5152/tepes.2025.25023.
ISNAD
Avli Fırış, Fatma. “Engineering-Based Steady-State Analysis of Voltage Profile and Power Flow in Three-Phase Unbalanced Distribution Systems”. Turkish Journal of Electrical Power and Energy Systems 5/3 (October 1, 2025): 176-184. https://doi.org/10.5152/tepes.2025.25023.
JAMA
1.Avli Fırış F. Engineering-Based Steady-State Analysis of Voltage Profile and Power Flow in Three-Phase Unbalanced Distribution Systems. TEPES. 2025;5:176–184.
MLA
Avli Fırış, Fatma. “Engineering-Based Steady-State Analysis of Voltage Profile and Power Flow in Three-Phase Unbalanced Distribution Systems”. Turkish Journal of Electrical Power and Energy Systems, vol. 5, no. 3, Oct. 2025, pp. 176-84, doi:10.5152/tepes.2025.25023.
Vancouver
1.Fatma Avli Fırış. Engineering-Based Steady-State Analysis of Voltage Profile and Power Flow in Three-Phase Unbalanced Distribution Systems. TEPES. 2025 Oct. 1;5(3):176-84. doi:10.5152/tepes.2025.25023