Finite Element Method (FEM) in Harmonic Reactor Design
DOI:
https://doi.org/10.47526/2026-1/2505-3123.01Keywords:
Harmonic reactor design, FEM, ANSYS Maxwell, COMSOL, Magnetic field analysisAbstract
The increasing integration of power electronic converters in modern electrical power systems has led to a significant rise in harmonic distortion, posing serious challenges to power quality, system stability, electromagnetic compatibility, and equipment lifetime. Harmonic filter reactors play a critical role in mitigating harmonic propagation and limiting resonance phenomena in electrical networks by providing controlled inductive impedance and stabilizing system behavior under distorted operating conditions; however, conventional analytical design approaches are often insufficient to accurately capture nonlinear magnetic behavior, leakage flux distribution, fringing effects, and core saturation phenomena under realistic loading and frequency-dependent operating conditions. This paper revisits the use and effect of Finite Element Method (FEM) in the design and analysis of harmonic filter reactors. It is shown that FEM-based approach significantly improves the accuracy of inductance estimation and electromagnetic performance prediction compared to classical analytical methods, particularly in the presence of nonlinear effects and complex flux paths, while enhancing overall design reliability and supporting improved harmonic mitigation performance in compliance with IEEE 519 power quality requirements
References
1. IEEE Standard 519-2014, IEEE Recommended Practice and Requirements for Harmonic Control in Electric Power Systems, 2014.
2. R. C. Dugan, M. F. McGranaghan, S. Santoso, and H. W. Beaty, Electrical Power Systems Quality, 3rd ed. New York, NY, USA: McGraw-Hill, 2012
3. A. Dönük, “Optimum design of single and three phase iron core shunt reactors,” Journal of the Faculty of Engineering and Architecture of Gazi University, vol. 37, no. 2, pp. 1063–1076, 2022.
4. IEEE Standard 519-2022, IEEE Recommended Practice and Requirements for Harmonic Control in Electric Power Systems, IEEE, 2022.
5. M. H. J. Bollen and I. Y. H. Gu, Signal Processing of Power Quality Disturbances. New York, NY, USA: Wiley-IEEE Press, 2006.
6. M. S. Rahman et al., “Advanced Harmonic Mitigation Techniques in Power Systems with High Penetration of Power Electronics,” IEEE Access, vol. 12, pp. 14523–14540, 2024.
7. Y. Zhang, L. Wang, and H. Li, “Design and Optimization of Passive Harmonic Filters Using Simulation-Based Meth-ods,” Electric Power Systems Research, vol. 229, 2025.
8. A. Dönük, “Effect of air gaps on iron losses in shunt reactors,” Journal of the Faculty of Engineering and Architecture of Gazi University, vol. 37, no. 2, 2022.
9. J. Jin, The Finite Element Method in Electromagnetics, 3rd ed., Wiley-IEEE Press, Hoboken, NJ, USA, 2014.
10. S. J. Salon, Finite Element Analysis of Electrical Machines, Springer, 1995.
11. M. N. O. Sadiku, Numerical Techniques in Electromagnetics, CRC Press, 2009.
12. P. Kundur, Power System Stability and Control, McGraw-Hill, 1994.
13. A. Khodadad and M. Samimi, "Acoustic Noise Estimation of Air-Core Reactors Using the Finite Element Meth-od," 2025 5th International Conference on Electrical Machines and Drives (ICEMD), Tehran, Iran, Islamic Republic of, 2025.
14. G. W. Alexander, R. H. Hopkinson, and A. U. Welch, “Design and application of EHV shunt reactors,” IEEE Trans. Power Apparatus and Systems, vol. PAS-85, no. 12, pp. 1247–1258, Dec. 1966.
15. Y. Hao, Y. Xu, Y. Liu, Y. Zhu, and X. Xiao, “Study of nonlinear model of shunt reactor in 1000 kV AC transmission system,” in Proc. Int. Conf. Energy and Environment Technology, vol. 2, 2009, pp. 305–308.
16. ANSYS Inc., ANSYS Maxwell User’s Guide, Release 2025 R1, 2025.
17. A. Dönük Et Al., "Defining and computing equivalent inductances of gapped iron core reactors," PRZEGLAD EL-EKTROTECHNICZNY, vol.88, pp.52-55, 2012.
18. D. Azizian, M. Bigdeli and S. Saberi, "Calculation of Inductance and Winding Losses of Dry Type Detuned Reactor Using Finite Element Method," 2024 28th International Electrical Power Distribution Conference (EPDC), Zanjan, Iran, Is-lamic Republic of, 2024.
19. A. Kumar and P. Singh, “Finite Element Analysis of Reactor Losses Under Harmonic Conditions,” IET Electric Power Applications, vol. 18, no. 2, pp. 210–222, 2024.
20. J. Müller et al., “FEM-Based Optimization of Power Reactors for Harmonic Filtering Applications,” IEEE Transactions on Magnetics, vol. 61, no. 3, 2025.
21. P. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers, Cambridge University Press, 1996.
Downloads
Published
Issue
Section
License
Copyright (c) 2026 International Journal of Energy and Applied Sciences

This work is licensed under a Creative Commons Attribution 4.0 International License.


