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Cascaded Hybrid Multi-level Inverter for Selective Harmonics Elimination

  • Hassan Rahman
  • Muhammad Yaqoob JavedEmail author
  • Yasir Saleem
  • Qiang Ling
  • Muhammad Majid Gulzar
Research Paper
  • 170 Downloads

Abstract

This paper aimed at the prospect of an optimized algorithm for Selective Harmonic Elimination (SHE) through a hybrid control mechanism using fmincon and Newton–Raphson iterative method. In search of minimizing the Total Harmonic Distortion (THD), appropriate multi-level sequences and firing angles are used. This technique not only reduces the execution time but also improves the convergence rate. MATLAB simulations confirm that the algorithm is robust and the desired response is achieved within a few iterations for any range of modulation index. PSpice simulation verifies the successful removal of harmonics and confirms THD lies within limits specified by IEEE 519 standard. The implementation of this SHEPWM algorithm will improve the working of cascaded multi-level inverters by increasing their efficiency rate with respect to their speed.

Keywords

Cascaded multi-level inverters (CMI) Selective Harmonic Elimination (SHE) fmincon Newton–Raphson (NR) Harmonics MATLAB PSpice 

Abbreviations

SHE

Selective Harmonics Elimination

INR

Improved Newton–Raphson

PWM

Pulse width modulation

PE

Power electronics

PSO

Particle swarm optimization

DE

Differential evaluation

QP

Quadratic programming

FFT

Fast Fourier transform

NR

Newton–Raphson

THD

Total harmonics distortions

C-MLI

Cascaded multilevel inverter

PV

Photovoltaic

GA

Genetic algorithm

MI

Modulation index

SQP

Sequential quadratic programming

PWL

Piecewise linear

References

  1. Abdelkrim T, Berkouk EM, Benamrane K (2012) Study and control of 5-level PWM rectifier-5-level NPC active power filter cascade using feedback control and redundant vectors. Turk J Electr Eng Comput Sci 20:655–677.  https://doi.org/10.3906/elk-1012-931 Google Scholar
  2. Ahmad A, Asghar M, Abdul S et al (2016) Impact of wide-spread use of uninterruptible power supplies on Pakistan’ s power system. Energy Policy 98:629–636.  https://doi.org/10.1016/j.enpol.2016.09.039 CrossRefGoogle Scholar
  3. Ahmadi D, Wang J (2009) Selective harmonic elimination for multilevel inverters with unbalanced DC inputs. In: 5th IEEE Vehicle Power and Propulsion Conference VPPC’09, pp. 773–778.  https://doi.org/10.1109/vppc.2009.5289771
  4. Ahmadi D, Zou K, Li C et al (2011) A universal selective harmonic elimination method for high-power inverters. IEEE Trans Power Electron 26:2743–2752.  https://doi.org/10.1109/TPEL.2011.2116042 CrossRefGoogle Scholar
  5. Al-Othman AK, Abdelhamid TH (2009) Elimination of harmonics in multilevel inverters with non-equal DC sources using PSO. Energy Convers Manag 50:756–764.  https://doi.org/10.1016/j.enconman.2008.09.047 CrossRefGoogle Scholar
  6. Amini J (2014) An effortless space-vector-based modulation for N-level flying capacitor multilevel inverter with capacitor voltage balancing capability. IEEE Trans Power Electron 29:6188–6195CrossRefGoogle Scholar
  7. Arani AAK, Zaferani HR, Sanjari MJ, Gharehpetian GB (2014) Using genetic algorithm and simulated annealing for 27-level PV inverter THD minimization. In: Smart grid conference, pp 1–6Google Scholar
  8. Babaei E, Gowgani SS, Sabahi M (2015a) A new cascaded multilevel inverter with series and parallel connection ability of DC voltage sources. Turk J Electr Eng Comput Sci.  https://doi.org/10.3906/elk-1210-106 Google Scholar
  9. Babaei E, Laali S, Member S, Bayat Z (2015b) A single-phase cascaded multilevel inverter based on a new basic unit with reduced number of power switches. IEEE Trans Ind Electron 62:922–929CrossRefGoogle Scholar
  10. Babu TS, Priya K, Maheswaran D et al (2015) Selective voltage harmonic elimination in PWM inverter using bacterial foraging algorithm. Swarm Evol Comput 20:74–81.  https://doi.org/10.1016/j.swevo.2014.11.002 CrossRefGoogle Scholar
  11. Besanger Y, Caire R, Chilard O, Deschamps P (2013) Distribution state estimation performances with different state vectors. In: PowerTech (POWERTECH), 2013 IEEE Grenoble, pp 1–6.  https://doi.org/10.1109/ptc.2013.6652134
  12. Chandwani HB, Matnani MK (2012) A review of modulation techniques for hybrid multilevel inverter. In: Proceedings of the first international conference emergency technology trends in electronic system, communication networking, ET2ECN 2012.  https://doi.org/10.1109/et2ecn.2012.6470069
  13. Chiasson JN, Tolbert LM, McKenzie KJ, Du Z (2005) Elimination of harmonics in a multilevel converter using the theory of symmetric polynomials and resultants. IEEE Trans Control Syst Technol 13:216–223.  https://doi.org/10.1109/TCST.2004.839556 CrossRefGoogle Scholar
  14. Javed MY, Faisal A, Ling Q et al (2016) A novel MPPT design using generalized pattern search for partial shading condition. Energy Build 133:59–69.  https://doi.org/10.1016/j.enbuild.2016.09.054 CrossRefGoogle Scholar
  15. Jeevabharathi T, Padmathilagam V (2012) Harmonic elimination of cascaded multilevel inverters using particle swarm optimization. Int Conf Comput Electron Electr Technol 2012:301–306.  https://doi.org/10.1109/ICCEET.2012.6203775 Google Scholar
  16. Kato T (1999) Sequential homotopy-based computation of multiple solutions for selected harmonic elimination in PWM inverters. IEEE Trans Circ Syst I Fundam Theory Appl 46:586–593.  https://doi.org/10.1109/81.762924 CrossRefGoogle Scholar
  17. Liang TJ, O’Connell RM, Hoft RG (1997) Inverter harmonic reduction using Walsh function harmonic elimination method. IEEE Trans Power Electron 12:971–982.  https://doi.org/10.1109/63.641495 CrossRefGoogle Scholar
  18. Liu Y, Hong H, Huang AQ (2009) Real-time calculation of switching angles minimizing THD for multilevel inverters with step modulation. IEEE Trans Ind Electron 56:285–293.  https://doi.org/10.1109/TIE.2008.918461 CrossRefGoogle Scholar
  19. Luis J, Rodriguez D, David L, et al (2014) Harmonic distortion optimization of multilevel PWM inverter using genetic algorithmsGoogle Scholar
  20. Massrur HR, Niknam T, Mardaneh M, Rajaei AH (2016) Harmonic elimination in multilevel inverters under unbalanced voltages and switching deviation using a new stochastic strategy. IEEE Trans Ind Inf 12:716–725.  https://doi.org/10.1109/TII.2016.2529589 CrossRefGoogle Scholar
  21. Mathworks (2016) Find minimum of constrained nonlinear multivariable function—MATLAB fmincon. https://www.mathworks.com/help/optim/ug/fmincon.html?s_tid=gn_loc_drop. Accessed 14 Dec 2016
  22. Mohammadi HR, Akhavan A (2014) A new adaptive selective harmonic elimination method for cascaded multilevel inverters using evolutionary methods. In: 2014 IEEE 23rd international symposium on industrial electronics, pp 1484–1489Google Scholar
  23. Murugan M, Balaraman P (2014) Selective harmonic elimination PWM method in two level inverter by differential evolution optimization technique, pp 1–6Google Scholar
  24. Panda AK, Patnaik SS (2015) Analysis of cascaded multilevel inverters for active harmonic filtering in distribution networks. Int J Electr Power Energy Syst 66:216–226.  https://doi.org/10.1016/j.ijepes.2014.10.034 CrossRefGoogle Scholar
  25. Patel HS, Hoft RG (1973) Generalized techniques of harmonic elimination and voltage control in thyristor inverters: part I-harmonic elimination. IEEE Trans Ind Appl.  https://doi.org/10.1109/TIA.1973.349908 Google Scholar
  26. Reddy M, Gowrimanohar T (2012) Comparison of five level and seven level cascaded multilevel inverter based dstacom for compensation of harmonics and reactive power using instantaneous real-power theory. In: Proc-ICETEEEM 2012, international conference emerging trends in electrical engineering and energy management, pp 355–360.  https://doi.org/10.1109/iceteeem.2012.6494507
  27. Renu V, Scholar MT (2014) Optimal control of selective harmonic elimination in a grid-connected single-phase PV inverter. In: International conference on advance research in green energy, pp 265–271Google Scholar
  28. Salam Z, Soon Yee S, Saleem Y (2013a) On the improved computational speed and convergence of the Newton Raphson iteration method for selective harmonics elimination PWM applied to cascaded multilevel inverter with equal and non-equal DC sources. COMPEL-Int J Comput Math Electr Electron Eng 32:901–922.  https://doi.org/10.1108/03321641311305827 CrossRefzbMATHGoogle Scholar
  29. Salam Z, Soon SY, Saleem Y (2013b) An improved Newton-Raphson iteration method to compute the selective harmonics elimination pulse width modulation angles for cascaded multilevel inverters with equal and nonequal DC sources. Comput Electr Eng 32(3):901–922zbMATHGoogle Scholar
  30. Sun J, Beineke S, Grotstollen H (1996) Optimal PWM based on real-time solution of harmonic elimination equations. IEEE Trans Power Electron 11:612–621.  https://doi.org/10.1109/63.506127 CrossRefGoogle Scholar
  31. Tai B, Gao C, Liu X, Lv J (2014) A voltage balancing controller with fuzzy logic strategy for neutral point clamped multilevel converter. In: 17th international conference on electrical machines and systems, pp 2490–2494Google Scholar
  32. Tuteja A, Mahor A, Sirsat A (2013) A review on mitigation of harmonics in cascaded H-bridge multilevel inverter using optimization techniques. Int J Emerg Technol Adv Eng 3:30–34Google Scholar
  33. Vijayakumar R, Devalalitha C (2014) selective harmonic elimination PWM method using two level inverter by differential evolution optimization technique, pp 3–8Google Scholar
  34. Wang J, Ahmadi D (2010) A precise and practical harmonic elimination method for multilevel inverters. IEEE Trans Ind Appl 46:857–865.  https://doi.org/10.1109/TIA.2010.2041620 CrossRefGoogle Scholar
  35. Yang K, Zhang Q, Yuan R et al (2016) Selective harmonic elimination with Groebner bases and symmetric polynomials. IEEE Trans Power Electron 31:2742–2752.  https://doi.org/10.1109/TPEL.2015.2447555 CrossRefGoogle Scholar
  36. Zhao H, Jin T, Wang S, Sun L (2016) A real-time selective harmonic elimination based on a transient-free inner closed-loop control for cascaded multilevel inverters. IEEE Trans Power Electron 31:1000–1014.  https://doi.org/10.1109/TPEL.2015.2413898 CrossRefGoogle Scholar
  37. Zhou K, Yang Y, Blaabjerg F et al (2014) Selective harmonic control for power converters. Energy Convers Congr Expo.  https://doi.org/10.1109/TIE.2014.2336629 Google Scholar

Copyright information

© Shiraz University 2018

Authors and Affiliations

  1. 1.Department of Computer Science and Computer EngineeringU E TLahorePakistan
  2. 2.Department of Electrical EngineeringCOMSATS Insitute of Information TechnologyLahorePakistan
  3. 3.Department of AutomationUniversity of Science and Technology of ChinaHefeiChina
  4. 4.Departments of Electrical EngineeringUniversity of Central PunjabLahorePakistan

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