Next Article in Journal
Asymptotic Solutions for Atmospheric Internal Gravity Waves Generated by a Thermal Forcing in an Anelastic Fluid Flow with Vertical Shear
Previous Article in Journal
Canonical Fixed Points of Recursive Preference Functors: A Categorical Approach to Hierarchies of Ambiguity
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Optimal Performance Design of Passive Power Filters Using a Multi-Objective Firefly Algorithm

by
Mahmoud B. Mahmoud
1,
Amira M. Salama
1,
Mustafa AL-Tawfiq
2,
Khaled H. Ibrahim
3,4 and
Eslam M. Abd Elaziz
1,*
1
Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University, Fayoum 43518, Egypt
2
General Manager, Electricity and Lighting Department in the Eastern Province, Dammam 31441, Saudi Arabia
3
Electrical Engineering Department, Faculty of Engineering, Fayoum University, Fayoum 43518, Egypt
4
Research and Development Unit Manager, Menaa Company for Engineering Consultancy, Riyadh 89898, Saudi Arabia
*
Author to whom correspondence should be addressed.
AppliedMath 2026, 6(4), 62; https://doi.org/10.3390/appliedmath6040062
Submission received: 8 March 2026 / Revised: 8 April 2026 / Accepted: 9 April 2026 / Published: 16 April 2026

Abstract

Harmonic distortion in power systems, primarily caused by nonlinear loads, leads to significant power quality issues such as increased losses, reduced power factor, and equipment malfunctions. To mitigate these effects, passive power filters (PPFs) are widely employed due to their cost-effectiveness and simplicity. This paper presents an optimized design of a single-tuned passive filter (STPF) using the Firefly Algorithm (FFA) and its multi-objective extension, the Multi-Objective Firefly Algorithm (MOFA). The optimization aims to minimize both voltage total harmonic distortion (VTHD) and power loss and to maximize the power factor (PF) while complying with IEEE 519-2014 standards. The study evaluates the proposed method under two different industrial case studies with varying system parameters and harmonic profiles. Simulation results demonstrate that the proposed FFA-based optimization outperforms the Mixed Integer Distributed Ant Colony Optimization (MIDACO) method, achieving superior VTHD reduction, power loss minimization, and power factor enhancement. The MOFA approach provides a Pareto-optimal front, offering trade-offs among competing objectives. Comparative analysis confirms the efficiency, robustness, and faster convergence of FFA-based optimization, making it a promising approach for optimal filter design in power systems.
Keywords: harmonics; passive filter; VTHD; transmission loss; PF; multi-objective optimization and firefly algorithm harmonics; passive filter; VTHD; transmission loss; PF; multi-objective optimization and firefly algorithm

Share and Cite

MDPI and ACS Style

Mahmoud, M.B.; Salama, A.M.; AL-Tawfiq, M.; Ibrahim, K.H.; Abd Elaziz, E.M. Optimal Performance Design of Passive Power Filters Using a Multi-Objective Firefly Algorithm. AppliedMath 2026, 6, 62. https://doi.org/10.3390/appliedmath6040062

AMA Style

Mahmoud MB, Salama AM, AL-Tawfiq M, Ibrahim KH, Abd Elaziz EM. Optimal Performance Design of Passive Power Filters Using a Multi-Objective Firefly Algorithm. AppliedMath. 2026; 6(4):62. https://doi.org/10.3390/appliedmath6040062

Chicago/Turabian Style

Mahmoud, Mahmoud B., Amira M. Salama, Mustafa AL-Tawfiq, Khaled H. Ibrahim, and Eslam M. Abd Elaziz. 2026. "Optimal Performance Design of Passive Power Filters Using a Multi-Objective Firefly Algorithm" AppliedMath 6, no. 4: 62. https://doi.org/10.3390/appliedmath6040062

APA Style

Mahmoud, M. B., Salama, A. M., AL-Tawfiq, M., Ibrahim, K. H., & Abd Elaziz, E. M. (2026). Optimal Performance Design of Passive Power Filters Using a Multi-Objective Firefly Algorithm. AppliedMath, 6(4), 62. https://doi.org/10.3390/appliedmath6040062

Article Metrics

Back to TopTop