International Journal of Advanced Engineering Research and Science (IJAERS) [Vol-5, Issue-8, Aug- 2018] https://dx.doi.org/10.22161/ijaers.5.8.41 ISSN: 2349-6495(P) | 2456-1908(O) www.ijaers.com Page | 332 Approach of Passive Filters using NSGA II in industrial installations: Part I Jandecy Cabral Leite 1* , Jorge de Almeida Brito Júnior 2 , Carlos Alberto Oliveira de Freitas 3 , Manoel Henrique Reis Nascimento 4 , Tirso Lorenzo Reyes Carvajal 5 and Milton Fonseca Junior 6 1,2,3,4,5 Research department the Institute of Technology and Education Galileo of Amazon (ITEGAM). Manaus, Amazonas, Brazil. *jandecy.cabral@itegam.org.br, jorge.brito@itegam.org.br, carlos.freitas@itegam.org.br, hreys@itegam.org.br, tirso.lorenzo@itegam.org.br 6 Generation Eletrobras Amazonas GT Manaus, Amazonas, Brazil. milton.fonseca@eletrobrasamazonasgt.com Abstract —The optimization of passive filters in industrial systems has been presented by different computational methods. The objective of this paper is to develop a computational algorithm with NSGA II to select the configuration and design parameters of a set of passive filters for industrial installations. As a methodology, the optimization problem was addressed using three independent objective functions of innovative character for compensation of harmonics through passive filters as a multiobjective problem. The results were the computational solution to this problem that determines a set of Pareto optimal solutions (Frontier). In addition, the computational tool has several new features such as: calculates the parameters that characterize the filters, but also selects the type of configuration and the number of branches of the filter in each candidate bar according to a set of pre-established configurations according to PRODIST-M8 (Brazilian Standard) and IEEE 519-2014. Also determine solutions with good power quality indicators (THD, TDD and NPV) for several characteristic and non-characteristic scenarios of the system that allow to represent: daily variations of the load, and variations of system parameters and filters. It evaluates the cost of energy bills in an industrial power grid that has different operating conditions (characteristic scenarios) and evaluates the economic effect of harmonic filters as reactive power compensators. Keywords—Quality Power, NSGA II, Passive Filters, multiobjective optimization. I. INTRODUCTION Modern electrical systems contain the quantities of sources capable of contaminating or producing various harmonic impacts in the distribution network where the non-linear loads found in industrial sectors, commercial and residential installations stand out. The optimization of passive filters in distribution systems has been approached through different approaches. In general, these can be classified as single goal formulations (Ghiasi, Rashtchi, & Hoseini, 2008; J. C. A. Leite, I.P.; Azevedo, M.S.S., Nascimento, M.H.R.; Moraes, N. M., Reis, A.M. , 2015; Mahaboob, Ajithan, & Jayaraman, 2018; A. Zobaa, Vaccaro, Zeineldin, Lecci, & Monem, 2010) and multiobjective optimization (J. C. Leite, Abril, de Lima Tostes, & De Oliveira, 2017; C. f. Yang, Lai, & Su, 2013). Medium and high-power contaminant sources generally focus on industrial electrical systems. These include static power converters and electric arc furnaces. For this purpose single goal formulations usually attempt to determine the least costly filters that ensure compliance with relevant standards of power quality standards. In multiobjective approaches, other objectives are added to achieve the following: minimum total current distortion (Acuna et al., 2015; Ji, Liu, Zeng, & Zhang, 2012), minimum total demand ratio(Beres, Wang, Liserre, Blaabjerg, & Bak, 2016), minimum total voltage distortion(A. F. Zobaa, 2014), minimum investment cost of filters(Busarello, Pomilio, & Simões, 2016), minimum cost losses(Hu, He, & Gao, 2015; N.-C. Yang & Le, 2015), etc. In commercial and residential installations, a large number of nonlinear loads of small power are employed, which due to their large numbers cannot be neglected as a source of distortion. This is the case of home and office equipment, discharge lamps as shown by the standards (Association, 2014; Maciel, Lins, & Cunha, 1996), among others. The harmonics injected into the electrical system by the non-linear loads produce effects: in the electric