New approach of optimized SHE modulation using genetic algorithm for three-phase half-bridge converter
Keywords:
Selective harmonic elimination modulation, Genetic algorithm, THD, SHE.
Abstract
One of the challenges of the Selective Harmonic Elimination Pulse Width Modulation (SHE-PWM) method is to solve the system of nonlinear equations to extract the switching angles. In the conventional approach, using Newton-Raphson equations, guessing initial values for the algorithm is difficult, as choosing incorrect initial values may lead to algorithm divergence. Therefore, the genetic algorithm is used to obtain the required initial values in the Newton-Raphson method, which reduces the number of iterations in calculating the desired values. This paper introduces a method for using the SHE-PWM technique for a wide range of modulation index to obtain a high-quality output waveform in a three-level three-phase inverter. This Technique reduces additional hardware and decreases design costs. The proposed strategies are tested by simulation in MATLAB-Simulink. The results indicate a significant improvement in the quality of the output waveform, a reduction in algorithm iterations, and its convergence.
References
[1] S. Alatai, M. Salem, D. Ishak, H. S. Das, M. Alhuyi Nazari, A. Bughneda, et al., "A Review on State-of-the-Art Power Converters: Bidirectional, Resonant, Multilevel Converters and Their Derivatives," Applied Sciences, vol. 11, p. 10172, 2021.
[2] M. A. Perez, S. Ceballos, G. Konstantinou, J. Pou, and R. P. Aguilera, "Modular multilevel converters: Recent achievements and challenges," IEEE Open Journal of the Industrial Electronics Society, vol. 2, pp. 224-239, 2021.
[3] P. Meloni and A. Serpi, "Integration of Energy Storage Systems within Modular Multilevel Converters for Medium-Voltage Distribution Networks," in IECON 2022–48th Annual Conference of the IEEE Industrial Electronics Society, 2022, pp. 1-6.
[4] S. ali Hoseinian and A. H. Zaeri, "Balancing the load of 20 kV feeder using FACTS based on fuzzy control method," Majlesi Journal of Mechatronic Systems, vol. 10, pp. 1-4, 2021.
[5] H. BENBOUHENNI, B. Zinelaabidine, and A. BELAIDI, "DFIG-based wind turbine system using three-level neural space vector modulation technique," Majlesi Journal of Mechatronic Systems, vol. 7, pp. 37-48, 2018.
[6] E. Nandhini and A. Sivaprakasam, "A review of various control strategies based on space vector pulse width modulation for the voltage source inverter," IETE Journal Of Research, vol. 68, pp. 3187-3201, 2022.
[7] N. Rai and S. Chakravorty, "A review on the generalized formulations for selective harmonic elimination (SHE-PWM) strategy," in 2020 IEEE First International Conference on Smart Technologies for Power, Energy and Control (STPEC), 2020, pp. 1-6.
[8] S. Chatterjee and A. Das, "A review on technological aspects of different PWM techniques and its comparison based on different performance parameters," International Journal of Circuit Theory and Applications, vol. 51, pp. 2446-2498, 2023.
[9] T. Abedinzadeh, J. Pouladi, and A. Daghigh, "Output Power Optimization of DFIG-based Wind Turbine," Majlesi Journal of Mechatronic Systems, vol. 11, pp. 31-35, 2022.
[10] S. Ürgün, H. Yiğit, and S. Mirjalili, "Investigation of Recent Metaheuristics Based Selective Harmonic Elimination Problem for Different Levels of Multilevel Inverters," Electronics, vol. 12, p. 1058, 2023.
[11] G. Krithiga, V. Mohan, G. Chitrakala, and S. Senthilkumar, "OPTIMIZATION OF SWITCHING ANGLES FOR SELECTIVE HARMONIC ELIMINATION IN CASCADED H-BRIDGE MULTILEVEL INVERTERS EMPLOYING ARTIFICIAL INTELLIGENCE TECHNIQUES–A MINI REVIEW," International Journal of Engineering Technologies and Management Research, vol. 10, pp. 1-16, 2023.
[12] I. Sajid, A. Sarwar, M. Tariq, F. I. Bakhsh, M. R. Hussan, S. Ahmad, et al., "Runge Kutta optimization‐based selective harmonic elimination in an H‐bridge multilevel inverter," IET Power Electronics, 2023.
[13] G. Li, Z. Wu, D. Cao, and J. Li, "Random PWM Selective Harmonic Elimination Method With Master-Slave Mode for Seven-Level MPUC Inverter," CPSS Transactions on Power Electronics and Applications, vol. 8, pp. 87-96, 2023.
[14] P. Janngam and CC, "New twelfth order iterative method for solving nonlinear equations and their dynamical aspects," J. Math. Comput. Sci., vol. 28, pp. 52-59, 2023.
[15] E. Jarlebring, "Broyden's method for nonlinear eigenproblems," SIAM Journal on Scientific Computing, vol. 41, pp. A989-A1012, 2019.J. Wang and R. Wu, "The extended Galerkin method for approximate solutions of nonlinear vibration equations," Applied Sciences, vol. 12, p. 2979, 2022.
[16] G. I. Toth, "A measure theoretical approach to non-uniform phases of matter with no long-range spatial order," arXiv preprint arXiv:2002.09240, 2020.
[17] A. Zafar, M. Shakeel, A. Ali, L. Akinyemi, and H. Rezazadeh, "Optical solitons of nonlinear complex Ginzburg–Landau equation via two modified expansion schemes," Optical and Quantum Electronics, vol. 54, pp. 1-15, 2022.
[18] H. Yiğit, S. Ürgün, and S. Mirjalili, "Comparison of recent metaheuristic optimization algorithms to solve the SHE optimization problem in MLI," Neural Computing and Applications, vol. 35, pp. 7369-7388, 2023.
[19] M. E. Çimen, Z. Garip, and A. F. Boz, "Comparison of metaheuristic optimization algorithms for numerical solutions of optimal control problems," Concurrency and Computation: Practice and Experience, vol. 35, p. e7663, 2023.
[20] V. Lai, Y. F. Huang, C. H. Koo, A. N. Ahmed, and A. El-Shafie, "A review of reservoir operation optimisations: from traditional models to metaheuristic algorithms," Archives of Computational Methods in Engineering, vol. 29, pp. 3435-3457, 2022.
[21] S. B. Joseph, E. G. Dada, A. Abidemi, D. O. Oyewola, and B. M. Khammas, "Metaheuristic algorithms for PID controller parameters tuning: Review, approaches and open problems," Heliyon, 2022.
[22] A. R. Lopez, C. J. Cortés, C. A. Limones-Pozos, J. M. Sosa, J. Aguayo, and S. D. L. Aldaco, "Optimal Switching Angles Calculation for a Multilevel Inverter through the SHE Method and the PSO Algorithm, a comparison," in 2020 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC), 2020, pp. 1-6.
[23] S. Ahmad, I. Ashraf, A. Iqbal, and M. Fatimi, "SHE PWM for multilevel inverter using modified NR and pattern generation for wide range of solutions," in 2018 IEEE 12th international conference on compatibility, power electronics and power engineering (CPE-POWERENG 2018), 2018, pp. 1-6.
[24] M. Sadoughi, A. Pourdadashnia, M. Farhadi-Kangarlu, and S. Galvani, "PSO-optimized SHE-PWM technique in a cascaded H-bridge multilevel inverter for variable output voltage applications," IEEE Transactions on Power Electronics, vol. 37, pp. 8065-8075, 2022.
[25] U. Ozdemir, "Comparison of the Newton–Raphson Method and genetic algorithm solutions for nonlinear aircraft trim analysis," Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, vol. 237, pp. 725-740, 2023.
[2] M. A. Perez, S. Ceballos, G. Konstantinou, J. Pou, and R. P. Aguilera, "Modular multilevel converters: Recent achievements and challenges," IEEE Open Journal of the Industrial Electronics Society, vol. 2, pp. 224-239, 2021.
[3] P. Meloni and A. Serpi, "Integration of Energy Storage Systems within Modular Multilevel Converters for Medium-Voltage Distribution Networks," in IECON 2022–48th Annual Conference of the IEEE Industrial Electronics Society, 2022, pp. 1-6.
[4] S. ali Hoseinian and A. H. Zaeri, "Balancing the load of 20 kV feeder using FACTS based on fuzzy control method," Majlesi Journal of Mechatronic Systems, vol. 10, pp. 1-4, 2021.
[5] H. BENBOUHENNI, B. Zinelaabidine, and A. BELAIDI, "DFIG-based wind turbine system using three-level neural space vector modulation technique," Majlesi Journal of Mechatronic Systems, vol. 7, pp. 37-48, 2018.
[6] E. Nandhini and A. Sivaprakasam, "A review of various control strategies based on space vector pulse width modulation for the voltage source inverter," IETE Journal Of Research, vol. 68, pp. 3187-3201, 2022.
[7] N. Rai and S. Chakravorty, "A review on the generalized formulations for selective harmonic elimination (SHE-PWM) strategy," in 2020 IEEE First International Conference on Smart Technologies for Power, Energy and Control (STPEC), 2020, pp. 1-6.
[8] S. Chatterjee and A. Das, "A review on technological aspects of different PWM techniques and its comparison based on different performance parameters," International Journal of Circuit Theory and Applications, vol. 51, pp. 2446-2498, 2023.
[9] T. Abedinzadeh, J. Pouladi, and A. Daghigh, "Output Power Optimization of DFIG-based Wind Turbine," Majlesi Journal of Mechatronic Systems, vol. 11, pp. 31-35, 2022.
[10] S. Ürgün, H. Yiğit, and S. Mirjalili, "Investigation of Recent Metaheuristics Based Selective Harmonic Elimination Problem for Different Levels of Multilevel Inverters," Electronics, vol. 12, p. 1058, 2023.
[11] G. Krithiga, V. Mohan, G. Chitrakala, and S. Senthilkumar, "OPTIMIZATION OF SWITCHING ANGLES FOR SELECTIVE HARMONIC ELIMINATION IN CASCADED H-BRIDGE MULTILEVEL INVERTERS EMPLOYING ARTIFICIAL INTELLIGENCE TECHNIQUES–A MINI REVIEW," International Journal of Engineering Technologies and Management Research, vol. 10, pp. 1-16, 2023.
[12] I. Sajid, A. Sarwar, M. Tariq, F. I. Bakhsh, M. R. Hussan, S. Ahmad, et al., "Runge Kutta optimization‐based selective harmonic elimination in an H‐bridge multilevel inverter," IET Power Electronics, 2023.
[13] G. Li, Z. Wu, D. Cao, and J. Li, "Random PWM Selective Harmonic Elimination Method With Master-Slave Mode for Seven-Level MPUC Inverter," CPSS Transactions on Power Electronics and Applications, vol. 8, pp. 87-96, 2023.
[14] P. Janngam and CC, "New twelfth order iterative method for solving nonlinear equations and their dynamical aspects," J. Math. Comput. Sci., vol. 28, pp. 52-59, 2023.
[15] E. Jarlebring, "Broyden's method for nonlinear eigenproblems," SIAM Journal on Scientific Computing, vol. 41, pp. A989-A1012, 2019.J. Wang and R. Wu, "The extended Galerkin method for approximate solutions of nonlinear vibration equations," Applied Sciences, vol. 12, p. 2979, 2022.
[16] G. I. Toth, "A measure theoretical approach to non-uniform phases of matter with no long-range spatial order," arXiv preprint arXiv:2002.09240, 2020.
[17] A. Zafar, M. Shakeel, A. Ali, L. Akinyemi, and H. Rezazadeh, "Optical solitons of nonlinear complex Ginzburg–Landau equation via two modified expansion schemes," Optical and Quantum Electronics, vol. 54, pp. 1-15, 2022.
[18] H. Yiğit, S. Ürgün, and S. Mirjalili, "Comparison of recent metaheuristic optimization algorithms to solve the SHE optimization problem in MLI," Neural Computing and Applications, vol. 35, pp. 7369-7388, 2023.
[19] M. E. Çimen, Z. Garip, and A. F. Boz, "Comparison of metaheuristic optimization algorithms for numerical solutions of optimal control problems," Concurrency and Computation: Practice and Experience, vol. 35, p. e7663, 2023.
[20] V. Lai, Y. F. Huang, C. H. Koo, A. N. Ahmed, and A. El-Shafie, "A review of reservoir operation optimisations: from traditional models to metaheuristic algorithms," Archives of Computational Methods in Engineering, vol. 29, pp. 3435-3457, 2022.
[21] S. B. Joseph, E. G. Dada, A. Abidemi, D. O. Oyewola, and B. M. Khammas, "Metaheuristic algorithms for PID controller parameters tuning: Review, approaches and open problems," Heliyon, 2022.
[22] A. R. Lopez, C. J. Cortés, C. A. Limones-Pozos, J. M. Sosa, J. Aguayo, and S. D. L. Aldaco, "Optimal Switching Angles Calculation for a Multilevel Inverter through the SHE Method and the PSO Algorithm, a comparison," in 2020 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC), 2020, pp. 1-6.
[23] S. Ahmad, I. Ashraf, A. Iqbal, and M. Fatimi, "SHE PWM for multilevel inverter using modified NR and pattern generation for wide range of solutions," in 2018 IEEE 12th international conference on compatibility, power electronics and power engineering (CPE-POWERENG 2018), 2018, pp. 1-6.
[24] M. Sadoughi, A. Pourdadashnia, M. Farhadi-Kangarlu, and S. Galvani, "PSO-optimized SHE-PWM technique in a cascaded H-bridge multilevel inverter for variable output voltage applications," IEEE Transactions on Power Electronics, vol. 37, pp. 8065-8075, 2022.
[25] U. Ozdemir, "Comparison of the Newton–Raphson Method and genetic algorithm solutions for nonlinear aircraft trim analysis," Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, vol. 237, pp. 725-740, 2023.
Published
2023-12-11
How to Cite
Salimi, B., zakipour, adel, & Nazemorroaya, E. (2023). New approach of optimized SHE modulation using genetic algorithm for three-phase half-bridge converter. Majlesi Journal of Mechatronic Systems, 12(1), 21-26. Retrieved from https://ms.majlesi.info/index.php/ms/article/view/559
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Articles
