Optimal Design of Double Tuned Filter Using LAGRANGE interpolation method to Attenuate THD in Power System
DOI:
https://doi.org/10.65419/albahit.v5i3.151Keywords:
Double tuned passive filter, Total harmonic distortion, Nonlinear loads, Lagrange methodAbstract
Nonlinear loads, including power electronic converters and arc furnaces, are now widely deployed across both industrial and residential settings. As the penetration of such loads increases, the harmonic currents injected back into the supply also grow, raising the total harmonic distortion (THD) and causing a range of faults in electrical equipment. Among the available mitigation techniques for current harmonics is the double-tuned passive filter. This type of filter reduces reactive power by utilizing passive elements to supply local reactive power compensation at the fundamental frequency. This work presents an optimal design of a double-tuned filter using the Lagrange interpolation method to suppress harmonics within a power system. Lagrange interpolation is employed to obtain the filter’s optimal parameters. Simulation carried out in MATLAB SIMULINK confirms that the resulting design fulfill to recognized limits such as those of IEEE 519.
References
1. Grady, W. Mack, and Surya Santoso. "Understanding power system hannonics." IEEE Power Engineering Review 21.11 (2001): 8-11.
2. Yong, B. H., and V. K. Ramachandaramurthy. "Double Tuned filter design for harmonic mitigation in grid connected solar PV." Power and Energy (PECon), 2014 IEEE International Conference on. IEEE, 2014.
3. IEEE Standard Association. "519-1992. IEEE Recommended Practices and Requirements for Harmonics Control in Electric Power Systems." New York: IEEE Inc (1992).
4. McGranaghan, M., and G. Beaulieu. "Update on IEC 61000-3-6: Harmonic emission limits for customers connected to MV HV and EHV." Transmission and Distribution Conference and Exhibition. 2006.
5. Fujita, Hideaki, Takahiro Yamasaki, and Hirofumi Akagi. "A hybrid active filter for damping of harmonic resonance in industrial power systems." IEEJ Transactions on Industry Applications 118.10 (1998): 1193-1200.
6. HE, Yi-hong, and Heng SU. "A New Method of Designing Double–tuned Filter." Proc. of the 2nd International Conference on Computer Science and Electronics Engineering (ICCSEE 2013). 2013.
7. Tan, Jun Zhe, and Rodney HG Tan. "Double-tuned harmonic passive filter design for harmonic mitigation at LV distribution network caused by electric vehicle on-board charger." 2023 Innovations in Power and Advanced Computing Technologies (i-PACT). IEEE, 2023.
8. Widagdo, Reza Sarwo, Kukuh Setyadjit, and Izzah Aula Wardah. "Analysis and Mitigation of Harmonics Distortion with Optimization Capacitor Banks and Single-Tuned Passive Filters." Jambura Journal of Electrical and Electronics Engineering 5.2 (2023): 204-209.
9. Pasaribu, Faisal Irsan, et al. "A New Damped Double-Tuned Filter to Improve Power Quality and System Performance for Nonlinear Household Loads." IEEE Open Access Journal of Power and Energy 13 (2026): 76-87.
10. Malik, Mochamad Irlan, et al. "Hybrid Double-Tuned and High-Pass Filter for Harmonic Mitigation in Inverter HVAC Systems." ELECTRON Jurnal Ilmiah Teknik Elektro 6.2 (2025): 139-152.
11. Soomro, Dur Muhammad, and M_ M_ Almelian. "Optimal design of a single tuned passive filter to mitigate harmonics in power frequency." (2015).
12. Memon, Zubair Ahmed, Mohammad Aslam Uquaili, and Mukhtiar Ali Unar. "Harmonics mitigation of industrial power system using passive filters." arXiv preprint arXiv:1605.06684 (2016).
13. Berrut, Jean-Paul, and Lloyd N. Trefethen. "Barycentric lagrange interpolation." Siam Review 46.3 (2004): 501-517.
14. Cheepati, Kumar Reddy, Sardar Ali, and M. Surya Kalavathi. "Performance Analysis of Double Tuned Passive Filter for Power Quality." International Journal of Control Theory and Applications9.07 (2016): 3295-3305.
15. Dastfan, Ali, Hossain Yassami, and Mohammad Reza Rafiei. "Optimum design of passive harmonic filter by using game theory concepts." Intelligence Systems in Electrical Engineering Journal4.4 (2014): 13-22.
16. Anooja, C. L., and N. Leena. "Passive Filter For Harmonic Mitigation Of Power Diode Rectifier And SCR Rectifier Fed Loads."International Journal of Scientific & Engineering Research 4.6 (2013).
17. Modeling and Simulation of Energization Overvoltage Phenomena During Capacitor Switching Transient. (2026). Albahit Journal of Applied Sciences, 5(1), 126-140. https://doi.org/10.65419/albahit.v5i1.122
18. Modeling the Performance and Frictional Head Losses of the Control Oil Pump at Derna Steam Power Plant. (2025). Albahit Journal of Applied Sciences, 4(1), 161-170. https://doi.org/10.65419/albahit.v4i1.54
19. Quantitative Analysis of Renewable Energy Systems Efficiency and Reliability: A Meta-Study of Solar, Wind, and Energy Storage Experimental Data. (2025). Albahit Journal of Applied Sciences, 4(1), 9-17. https://doi.org/10.65419/albahit.v4i1.38
