Optimization of Power Stability Index and its Application in Load Shedding

Authors

  • Trong Nghia Le Faculty of Electrical and Electronics Engineering, HCMC University of Technology and Education, Ho Chi Minh City, Vietnam https://orcid.org/0000-0002-4337-7014
  • Chau Le Thi Minh Department of Electric Power Systems, School of Electrical and Electronic Engineering, Hanoi University of Science and Technology, Hanoi, Vietnam https://orcid.org/0000-0002-9161-2146
  • Ngoc Au Nguyen Faculty of Electrical and Electronics Engineering, HCMC University of Technology and Education, Ho Chi Minh City, Vietnam
  • Hoang Minh Vu Nguyen Department of Urban Engineering, Ho Chi Minh City University of Architecture, Ho Chi Minh City, Vietnam
  • Thi Mi Sa Nguyen Faculty of Electrical and Electronics Engineering, HCMC University of Technology and Education, Ho Chi Minh City, Vietnam
Volume: 15 | Issue: 3 | Pages: 23806-23812 | June 2025 | https://doi.org/10.48084/etasr.10950

Received: 15 March 2025 | Revised: 5 April 2025 and 15 April 2025 | Accepted: 19 April 2025 | Online: 4 June 2025


Corresponding author: Trong Nghia Le

Abstract

This paper presents a load shedding method to optimize the Power Stability Index (PSI), with the objective of enhancing the stability of microgrid power systems. In instances where the system encounters demand that exceeds its operational capacity, the loads in the power network are selectively curtailed to ensure that this index remains within acceptable limits. This approach ensures power balance, frequency stability, and a more efficient load-shedding process. To address this issue, the paper proposes a comprehensive PSI optimization method, where PSI is used not only as an evaluation metric but also as a key optimization variable to improve decision-making effectiveness. The Particle Swarm Optimization (PSO) algorithm is employed to determine the optimal load-shedding power that would satisfy operational constraints. This method leverages PSI to enhance the accuracy of load-shedding decisions and improve the adaptability and stability of the microgrid system under fluctuating load conditions. The effectiveness of the proposed method is validated on the IEEE 16-bus microgrid test system, thereby demonstrating its feasibility and efficiency.

Keywords:

load shedding optimization, Power Stability Index (PSI), power system stability, power balance constraints, Particle Swarm Optimization (PSO)

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References

S. Sahoo and P. Timmann, "Energy Storage Technologies for Modern Power Systems: A Detailed Analysis of Functionalities, Potentials, and Impacts," IEEE Access, vol. 11, pp. 49689–49729, 2023.

Y. Ma, S. Lv, X. Zhou, and Z. Gao, "Review analysis of voltage stability in power system," in 2017 IEEE International Conference on Mechatronics and Automation, Takamatsu, Japan, 2017, pp. 7–12.

J. Marqusee and D. Jenket, "Reliability of emergency and standby diesel generators: Impact on energy resiliency solutions," Applied Energy, vol. 268, Jun. 2020, Art. no. 114918.

M. A. Raza, K. L. Khatri, A. Hussain, M. H. A. Khan, A. Shah, and H. Taj, "Analysis and Proposed Remedies for Power System Blackouts around the Globe," Engineering Proceedings, vol. 20, no. 1, Jul. 2022, Art. no. 5.

Z. Ying and R. Hongtao, "Influence and Suppression of Large Capacity Impact Load on Power Quality of Power System," in 2021 11th International Conference on Power, Energy and Electrical Engineering (CPEEE), Shiga, Japan, 2021, pp. 226–229.

T. Madiba, R. C. Bansal, N. T. Mbungu, M. Bettayeb, R. M. Naidoo, and M. W. Siti, "Under-frequency load shedding of microgrid systems: a review," International Journal of Modelling and Simulation, vol. 42, no. 4, pp. 653–679, Jul. 2022.

A. Ebrahimi, R. Haghighi, H. Yektamoghadam, M. Dehghani, and A. Nikoofard, "Optimal Power Flow by Genetic Algorithm," in Frontiers in Genetics Algorithm Theory and Applications, M. Khosravy, N. Gupta, and O. Witkowski, Eds. Singapore: Springer Nature, 2024, pp. 121–136.

A. N. Hussain and W. K. S. Al-Jubori, "Dual techniques of load shedding and capacitor placement considering load models for optimal distribution system," International Journal of Electrical and Computer Engineering, vol. 12, no. 6, pp. 5683–5696, Dec. 2022.

N. Md. Sapari, M. R. M. Dahalan, M. M. Rasyid, and M. Z. Daud, "Analytical Hierarchy Process (AHP) Analysis for Load Shedding Scheme in Islanded Distribution System Connected with Mini Hydro Generation," in 2023 IEEE Conference on Energy Conversion, Kuching, Malaysia, 2023, pp. 120–125.

S. A. Adegoke and Y. Sun, "Power system optimization approach to mitigate voltage instability issues: A review," Cogent Engineering, vol. 10, no. 1, Dec. 2023, Art. no. 2153416.

D. V. Ngo, K. V. Pham, D. D. Le, K. H. Le, and K. V. Huynh, "Assessing Power System Stability Following Load Changes and Considering Uncertainty," Engineering, Technology & Applied Science Research, vol. 8, no. 2, pp. 2758–2763, Apr. 2018.

S. H. E. Osman, G. K. Irungu, and D. K. Murage, "Application of FVSI, Lmn and CPF Techniques for Proper Positioning of FACTS Devices and SCIG Wind Turbine Integrated to a Distributed Network for Voltage Stability Enhancement," Engineering, Technology & Applied Science Research, vol. 9, no. 5, pp. 4824–4829, Oct. 2019.

M. A. Zdiri, A. S. Alshammari, A. A. Alzamil, M. B. Ammar, and H. H. Abdallah, "Optimal Shedding Against Voltage Collapse Based on Genetic Algorithm," Engineering, Technology & Applied Science Research, vol. 11, no. 5, pp. 7695–7701, Oct. 2021.

R. M. Larik, M. W. Mustafa, M. N. Aman, T. A. Jumani, S. Sajid, and M. K. Panjwani, "An Improved Algorithm for Optimal Load Shedding in Power Systems," Energies, vol. 11, no. 7, Jul. 2018, Art. no. 1808.

H. Nemouchi, A. Tiguercha, and A. A. Ladjici, "An adaptive decentralized under voltage load shedding in distribution networks," International Transactions on Electrical Energy Systems, vol. 30, no. 11, Sep. 2020, Art. no. e12592.

S. Sarwar et al., "Application of polynomial regression and MILP for under-frequency load shedding scheme in islanded distribution system," Alexandria Engineering Journal, vol. 61, no. 1, pp. 659–674, Jan. 2022.

P. Singh, R. Arya, L. S. Titare, and L. D. Arya, "Optimal Load Shedding to Avoid Risks of Voltage Collapse Using Black Hole Algorithm," Journal of The Institution of Engineers (India): Series B, vol. 102, no. 2, pp. 261–276, Apr. 2021.

A. Kerboua, F. Boukli-Hacene, and K. A. Mourad, "Particle Swarm Optimization for Micro-Grid Power Management and Load Scheduling," International Journal of Energy Economics and Policy, vol. 10, no. 2, pp. 71–80, Jan. 2020.

H. M. Rosli, H. Mokhlis, N. N. Mansor, N. M. Sapari, and S. A. Halim, "A Modified DEP and AHP for Load Shedding Scheme of Islanded Distribution System Incorporating Stability Index," Journal of Electrical Engineering & Technology, vol. 17, no. 3, pp. 1581–1592, May 2022.

N. Md. Sapari, H. Mokhlis, A. H. Abu Bakar, H. Mohamad, J. A. Laghari, and M. R. M. Dahalan, "Load shedding scheme based on rate of change of frequency and ranked stability index for islanded distribution system connected to mini hydro," IEEJ Transactions on Electrical and Electronic Engineering, vol. 12, no. 3, pp. 347–356, May 2017.

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How to Cite

[1]
Le, T.N., Minh, C.L.T., Nguyen, N.A., Nguyen, H.M.V. and Nguyen, T.M.S. 2025. Optimization of Power Stability Index and its Application in Load Shedding. Engineering, Technology & Applied Science Research. 15, 3 (Jun. 2025), 23806–23812. DOI:https://doi.org/10.48084/etasr.10950.

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Copyright (c) 2025 Trong Nghia Le, Chau Le Thi Minh, Ngoc Au Nguyen, Hoang Minh Vu Nguyen, Thi Mi Sa Nguyen

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