Abstract
This paper presents a Genetic Algorithm-based approach for optimal placement and sizing of passive power filters to mitigate harmonics in radial distribution systems with linear and nonlinear loads. The problem is formulated as a nonlinear multi-objective optimisation problem with equality and inequality constraints. For solving this problem, the Genetic Algorithm’s performances are analysed and evaluated using the standard IEEE 18- and 33-bus test systems. The optimal solutions are obtained based on the following four optimisation criteria: (1) minimisation of the maximum level of the total harmonic distortion in voltage, (2) minimisation of the initial investment costs of the filters, (3) minimisation of total active power losses in distribution lines and (4) a simultaneous minimisation of the maximum total harmonic distortion in voltage, initial investment costs of filters and total active power losses. The system harmonic levels are estimated using the Decoupled Harmonic Power Flow algorithm. Simulation results, obtained using the proposed Genetic Algorithm-based approach, are compared with those obtained using other optimisation algorithms and verified using the Harmonic Analysis module of the Electrical Transient Analysis Program. It is shown that the Genetic Algorithm-based approach provides effective, robust and high-quality solutions.
Similar content being viewed by others
References
Fuchs E, Masoum MAS (2008) Power quality in power systems and electrical machines. Elsevier/Academic Press, Cambridge
IEEE recommended practices and requirements for harmonic control in electrical power systems (1993). IEEE Std. 519-1992. IEEE New York
Mohammadi M (2015) Bacterial foraging optimization and adaptive version for economically optimum sitting, sizing and harmonic tuning orders setting of LC harmonic passive power filters in radial distribution systems with linear and nonlinear loads. Appl Soft Comput 29:345–356
Juan Z, Yi-nan G, Shu-ying Z (2009) Optimal design of passive power filters of an asymmetrical system based on Genetic Algorithm. Procedia Earth Planet Sci 1:1440–1447
Hsiao YT (2001) Design of filters for reducing harmonic distortion and correcting power factor in industrial distribution systems. Tamkang J Sci Eng 4:193–199
Dehini R, Sefiane S (2011) Power quality and cost improvement by passive power filters synthesis using ant colony algorithm. J Theor Appl Inf Technol 23:70–79
Aghaei M, Dastfan A (2015) A graph search algorithm: optimal placement of passive harmonic filters in a power system. J Artif Intell Data Min 3:217–224
Yue H et al (2011) Multi-objective optimal power filter planning in distribution network based on fast nondominated sorting Genetic Algorithms. In: 4th international conference on electric utility deregulation and restructuring and power technologies (DRPT) 234-240, Weihai, Shandong, China, July 6–9
Abril IP (2019) Passive filters’ placement considering parameters’ variations. Int Trans Electr Energy Syst 29:1–13
Mazlumi K et al (2013) Proper designing of passive LCL filters via imperialist competitive algorithm. Int J Tech Phys Probl Eng 5:24–29
Tosun S et al (2015) An approach for designing passive power filters for industrial power systems by using gravitational search algorithm. Tehnički vjesnik 22:343–349
Mohammadi M, Rozbahani AM, Montazeri M (2016) Multi criteria simultaneous planning of passive filters and distributed generation simultaneously in distribution system considering nonlinear loads with adaptive bacterial foraging optimization approach. Int J Electr Power Energy Syst 79:253–262
Jannesar MR et al (2019) Optimal probabilistic planning of passive harmonic filters in distribution networks with high penetration of photovoltaic generation. Int J Electr Power Energy Syst 110:332–348
Pandi VR, Zeineldin HH, Xiao W (2012) Passive harmonic filter planning to overcome power quality issues in radial distribution systems. IEEE Power and Energy Society General Meeting 1–6, San Diego, CA, USA, July 22–26
Radosavljević J (2018) Metaheuristic optimization in power engineering. The Institution of Engineering and Technology (IET), Stevenage
Teng JH, Liao SH, Leou RC (2014) Three-phase harmonic analysis method for unbalanced distribution systems. Energies 7:365–384
Power transformers—Part 5 (2006): Ability to withstand short circuit. IEC Std. 60076-5. IEC Geneva
IEEE guide for application and specification of harmonic filters (2003). IEEE Std.1531-2003. IEEE New York
Karaboga D (2005) An idea based on honey bee swarm for numerical optimization. Technical report-TR06, Erciyes University, Engineering Faculty, Computer Engineering Department, Kayseri/Türkiye
Ma H, Simon D (2011) Blended biogeography-based optimization for constrained optimization. Eng Appl Artif Intell 24:517–525
Civicioglu P (2013) Backtracking search optimization algorithm for numerical optimization problems. Appl Math Comput 219:8121–8144
Rashedi E, Nezamabadi-pour H, Saryazdi S (2009) GSA: a gravitational search algorithm. Inf Sci 179:2232–2248
Mirjalili S, Mirjalili SM, Lewis A (2014) Grey wolf optimizer. Adv Eng Softw 69:46–61
Atashpaz-Gargari E, Lucas C (2007) Imperialist competitive algorithm: An algorithm for optimization inspired by imperialistic competition. In: 2007 IEEE congress on evolutionary computation (CEC 2007) 4661–4667, Singapore, Singapore, September 25–28
Bayraktar Z, Komurcu M, Werner DH (2010) Wind driven optimization (WDO): A novel nature-inspired optimization algorithm and its application to electromagnetics. In: 2010 IEEE antennas and propagation society international symposium, Toronto, ON, Canada, July 11–17
Kao Y-T, Zahara E (2008) A hybrid Genetic Algorithm and particle swarm optimization for multimodal functions. Appl Soft Comput 8:849–857
ETAP 12.6 user guide (2014). Operation Technology, Inc
Nassif AB, Xu W, Freitas W (2009) An investigation on the selection of filter topologies for passive filter applications. IEEE Trans Power Deliv 24:1710–1718
Chou CJ et al (2000) Optimal planning of large passive-harmonic-filters set at high voltage level. IEEE Trans Power Syst 15:433–441
Ulinuha A, Masoum MAS (2007) Harmonic power flow calculations for a large power system with multiple nonlinear loads using decouple approach. In: Australasian Universities power engineering conference 1–6, Perth, WA, Australia, Dec. 9–12
Shirmohammadi D et al (1988) A compensation-based power flow method for weakly meshed distribution and transmission networks. IEEE Trans Power Syst 3:753–762
Cheng CS, Shirmohammadi D (1995) A three-phase power flow method for real-time distribution system analysis. IEEE Trans Power Syst 10:671–679
Grady WM, Samotyj MJ, Noyola AH (1992) The application of network objective functions for actively minimising the impact of voltage harmonics in power systems. IEEE Trans Power Delivery 7:1379–1386
Goswami SK, Basu SK (1992) A new algorithm for the reconfiguration of distribution feeders for loss minimization. IEEE Trans Power Deliv 7:1484–1491
Acknowledgements
This paper was based on research conducted within the project TR33046 funded by the Government of the Republic of Serbia.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations
Rights and permissions
About this article
Cite this article
Milovanović, M., Radosavljević, J., Klimenta, D. et al. GA-based approach for optimal placement and sizing of passive power filters to reduce harmonics in distorted radial distribution systems. Electr Eng 101, 787–803 (2019). https://doi.org/10.1007/s00202-019-00805-w
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00202-019-00805-w