Novel Mathematical Design of Triple-Tuned Filters for Harmonics Distortion Mitigation

Mohamed Maher, Shady H. E. Abdel Aleem, Ahmed M. Ibrahim and Adel El-Shahat ()
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Mohamed Maher: Electrical Power and Machines Department, Faculty of Engineering, Cairo University, Cairo 12613, Egypt
Shady H. E. Abdel Aleem: Department of Electrical Engineering, Valley High Institute of Engineering and Technology, Science Valley Academy, Qalyubia 44971, Egypt
Ahmed M. Ibrahim: Electrical Power and Machines Department, Faculty of Engineering, Cairo University, Cairo 12613, Egypt
Adel El-Shahat: Energy Technology Program, School of Engineering Technology, Purdue University, West Lafayette, IN 47907, USA

Energies, 2022, vol. 16, issue 1, 1-22

Abstract: The design of AC filters must meet the criteria of harmonic distortion mitigation and reactive power support in various operating modes. The stringent reactive power-sharing requirements currently lead to sophisticated filter schemes with high component ratings. In this regard, triple-tuned filters (TTFs) have good potential in harmonic mitigation of a broad range of harmonics. In the literature, the TTF design has been presented using a parametric method, assuming that the TTF is equivalent to a three-arm single-tuned filter (TASTF). However, no direct methods of designing it or finding its optimal parameters have been provided. This paper presents novel mathematical designs of TTFs. Three different design methods are considered—the direct triple-tuned filter (DTTF) design method, as a TASTF, and a method based on the equivalence between the two design methods called the equivalence hypothesis method to design the triple-tuned filter (EHF). The parameters of the three proposed design methods are optimized based on the minimization of a proposed multi-objective function using a recent metaheuristic algorithm called artificial rabbits optimization (ARO) to mitigate harmonics, improve power quality, and minimize power losses in an exemplary system presented in IEEE STD-519. Further, the system’s performance has been compared to the system optimized by the ant lion optimizer (ALO) and whale optimization algorithm (WOA) to validate the effectiveness of the proposed design. Simulation results emphasized harmonics mitigation in the system, the system losses reduction, and power quality improvement with lower reactive power filter ratings than conventional single and double-tuned filters.

Keywords: triple-tuned filter; passive filter; power quality; harmonics; optimization; artificial rabbits optimization; ant lion optimizer; whale optimization algorithm (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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