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A multi-objective approach to optimal placement and sizing of multiple active power filters using a music-inspired algorithm
Affiliation:1. Department of Electrical and Computer Engineering, Islamic Azad University (IAU), Mahdishahr-Branch, Semnan, Iran;2. Department of Electrical and Computer Engineering, Shahid Beheshti University (SBU), AC, Tehran, Iran;1. School of Electrical and Electronic Engineering, Yonsei University, Sinchon-dong, Seodaemun-gu, Seoul 120-749, Republic of Korea;2. Department of Electrical Electronic and Control Engineering, Hankyong National University, Sukjong-dong, Ansung-si, Gyunggi-do 456-749, Republic of Korea;1. KERMIT, Department of Mathematical Modelling, Statistics and Bioinformatics, Ghent University, Coupure links 653, B-9000 Gent, Belgium;2. Laboratory of Hydrology and Water Management, Ghent University, Coupure links 653, B-9000 Gent, Belgium;1. Department of Industrial Power, Faculty of Electrical Engineering, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100 Durian Tunggal Melaka, Malaysia;2. Center for Industrial and Applied Mathematics, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia;3. Department of Mathematical Sciences, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia;1. Department of Electronics Technology, Industrial Technical Engineering School of Bilbao, University of the Basque Country (UPV/EHU), Paseo Rafael Moreno 3, 48013 Bilbao, Basque Country, Spain;2. Department of Electricity and Electronics, Faculty of Science and Technology, University of the Basque Country (UPV/EHU), Leioa, Barrio Sarriena s/n, 48940 Basque Country, Spain;1. Geotechnical Research Institute, Hohai University, Nanjing 210098, China;2. Laboratory of Mechanics of Lille, University of Lille I, 59655 Villeneuve d’Ascq, France;1. Center for Biomedical Engineering, Universiti Teknologi Malaysia, Malaysia;2. Centre for Industrial and Applied Mathematics, Universiti Teknologi Malaysia, Malaysia
Abstract:This paper proposes a new multi-objective framework for optimal placement and sizing of the active power filters (APFs) with satisfactory and acceptable standard levels. total harmonic distortion (THD) of voltage, harmonic transmission line loss (HTLL), motor load loss function (MLLF), and total APFs currents are the four objectives considered in the optimization, while harmonic distortions within standard level, and maximum allowable APF size, are modeled as constraints. The proposed model is one of non-convex optimization problem having a non-linear, mixed-integer nature. Since, a new modified harmony search algorithm (MHSA) is used and followed by a min–max technique in order to obtain the final optimal solution. The harmony search algorithm is a recently developed optimization algorithm, which imitates the music improvisation process. In this process, the Harmonists improvise their instrument pitches searching for the perfect state of harmony. The newly developed method has been applied on the IEEE 18-bus test system and IEEE 30-bus test system by different scenarios and cases to demonstrate the feasibility and effectiveness of the proposed method. The detailed results of the case studies are presented and thoroughly analyzed. The obtained results illustrate the sufficiency and profitableness of the newly developed method in the placement and sizing of the multiple active power filters, when compared with other methods.
Keywords:Active power filters (APFs)  Harmonic transmission line loss (HTLL)  Min–max technique  Modified harmony search algorithm (MHSA)  Motor load loss function (MLLF)  Total harmonic distortion (THD)
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