Mathematical Analysis of N-R Algorithm for Experimental Implementation of SHEPWM Control on Single-phase Inverter

  IJETT-book-cover  International Journal of Engineering Trends and Technology (IJETT)          
  
© 2020 by IJETT Journal
Volume-68 Issue-2
Year of Publication : 2020
Authors : Alla Eddine TOUBAL MAAMAR, M’hamed HELAIMI, Rachid TALEB, Hadj MOULOUDJ,Oumaymah ELAMRI, Abdelatif GADOUM
DOI :  10.14445/22315381/IJETT-V68I2P202

Citation 

MLA Style: Alla Eddine TOUBAL MAAMAR, M’hamed HELAIMI, Rachid TALEB, Hadj MOULOUDJ,Oumaymah ELAMRI, Abdelatif GADOUM  "Mathematical Analysis of N-R Algorithm for Experimental Implementation of SHEPWM Control on Single-phase Inverter" International Journal of Engineering Trends and Technology 68.2 (2020):9-16.

APA Style:Alla Eddine TOUBAL MAAMAR, M’hamed HELAIMI, Rachid TALEB, Hadj MOULOUDJ,Oumaymah ELAMRI, Abdelatif GADOUM. Mathematical Analysis of N-R Algorithm for Experimental Implementation of SHEPWM Control on Single-phase Inverter  International Journal of Engineering Trends and Technology, 68(2),9-16.

Abstract
This paper presents a simulation and experimental validation of H-bridge inverter with the implementation of a Newton-Raphson algorithm for selective harmonics elimination. Contributions are made in interfacing and programming of Arduino ATmega328P microcontroller and use it to control of single-phase inverter by selective harmonic elimination technique. Through this work, we have given a general analytical description of the total harmonic distortion and present the method of application of the Newton-Raphson algorithm for selective harmonic elimination. MATLAB Simulink used for simulation and Arduino IDE software was used to program the Arduino board. The validity of the simulation model is verified by experimental results, the inverter was realized and the algorithm control is tested, results of the simulation and realization are compared, they show the efficiency of the system analysis and demonstrate the ability of Arduino to control the inverter and to generate complex signals for the electrical systems control.

Reference

[1] H. Hosseinnia and D. Nazarpour, ?Utilization of a New Meta Heuristic Algorithm to Minimize Total Harmonic Distortion (THD), ? Majlesi Journal of Electrical Engineering, vol. 12, no. 3, pp. 77-84, Feb. 2018.
[2] M. Elkholy, M.A. El-Hameed, A.A. El-Fergany, ?Harmonic analysis of hybrid renewable microgrids comprising optimal design of passive filters and uncertainties, ? Electric Power Systems Research, vol. 163, pp. 491-501, 2018.
[3] M. Srndovic, A. Zhetessov, T. Alizadeh, Y. L. Familiant, G. Grandi and A. Ruderman, ?Simultaneous Selective Harmonic Elimination and THD Minimization for a Single-Phase Multilevel Inverter With Staircase Modulation, ? IEEE Transactions on Industry Applications, vol. 54, pp. 1532-1541, March-Apr. 2018.
[4] S. S. Rangarajan, E. R. Collins and J. C. Fox, ?Detuning of harmonic resonant modes in accordance with IEEE 519 standard in an exemplary north american distribution system with PV and wind,? 2017 IEEE 6th International Conference on Renewable Energy Research and Applications (ICRERA), San Diego, CA, pp. 435-440, 2017.
[5] N.J. Steffy, S. Vinod Selvaganesh, Madan Kumar L, A.K. Sahu, ?Online monitoring of fuel starvation and water management in an operating polymer electrolyte membrane fuel cell by a novel diagnostic tool based on total harmonic distortion analysis, ? Journal of Power Sources, vol. 404, pp. 81-88, 2018.
[6] T. Rakesh, V. Madhusudhan, M. Sushama, ?MLI Power Topologies and Voltage Eminence: An Exploratory Review,? Indonesian Journal of Electrical Engineering and Informatics (IJEEI), vol. 5, pp. 1-15, March 2017.
[7] S. Kumari, S.Y. Kumar, ?Design Analysis and Development of Inverter Topologies for Industries? Indonesian Journal of Electrical Engineering and Informatics (IJEEI), vol. 6, pp. 53-60, March. 2018.
[8] N. Piskounov, ?Calcul différentiel et intégral : tome 2, ? Edition Ellipses, 1998.
[9] J. Peyriere, ?Convolution, séries et intégrales de Fourier, ? Edition Ellipses, 2012.
[10] P. Bensoit-Gueutal, M. Courbage, ?Mathématiques pour la physique: Séries de Fourier, transformations de Fourier et de Laplace, distributions,? Tome 2, Eyrolles, 1994.
[11] M. S. A. Dahidah, G. Konstantinou and V. G. Agelidis, ?A Review of Multilevel Selective Harmonic Elimination PWM: Formulations, Solving Algorithms, Implementation and Applications,? IEEE Transactions on Power Electronics, vol. 30, pp. 4091-4106, Aug. 2015.
[12] M.S.A. Dahidah, G. Konstantinou, V.G. Agelidis, ?A Review of Multilevel Selective Harmonic Elimination PWM: Formulations, Solving Algorithms, Implementation and Applications,? IEEE Transactions on Power Electronics, vol. 30, pp.4091–4106, 2015.

Keywords
Power Electronics, Newton-Raphson Algorithm, Selective Harmonic Elimination SHE, MATLAB/Simulink, Half-bridge Inverter Topology, Arduino Microcontroller