Improving the harmonic composition of output voltage in multilevel inverters under an optimum mode of amplitude modulation

Authors

DOI:

https://doi.org/10.15587/1729-4061.2020.200021

Keywords:

amplitude modulation, total harmonic distortion, an optimum of the sinusoidal output voltage of an inverter

Abstract

One of the most important parameters of multilevel inverters is the sinusoidal output voltage. There are many different modulation algorithms, which make it possible to obtain different indicators of the sinusoidal output voltage and different content of the higher harmonics. This paper reports a universal modulation algorithm, which makes it possible to obtain the shape of the output voltage of a multilevel inverter at any number of stages, optimized for the content of the higher harmonics, namely a minimum of the coefficient of harmonic distortions. The proposed algorithm enables obtaining the lowest possible THD for any level voltage. The advantage of the proposed algorithm compared to similar optimization algorithms is ensuring smaller harmonic distortions, as well as its relative simplicity. The reported algorithm is based on the amplitude modulation of the sine signal with a 25 % modulation relative to the highest discreteness. The analytical expressions have been given that make it possible to determine the time (angle) of enabling each level of the output voltage to form a minimum of the root mean square value of higher harmonics. To confirm the optimum analytic point, the MATLAB/Simulink programming environment was employed to design a series of multi-level voltage inverters, which form the five-, seven-, nine-, and eleven-level shapes of output voltage. The current study has shown that the optimum points for all shapes of multilevel voltages are achieved at the same coefficient of amplitude modulation. It has been demonstrated that the proposed modulation algorithm could also be used to control the amplitude and frequency of the output voltage in a multilevel inverter. The paper gives a control characteristic of the output voltage of a multilevel inverter at the pulse amplitude modulation

Author Biographies

Oleksandr Plakhtii, Limited Liability Company «VО ОVЕN» Hvardiytsiv-Shyronivtsiv str., 3A, Kharkiv, Ukraine, 61153

PhD, Electronic Engineer

Volodymyr Nerubatskyi, Ukrainian State University of Railway Transport Feierbakha sq., 7, Kharkiv, Ukraine, 61050

PhD, Associate Professor

Department of Electric Power Engineering, Electrical Engineering and Electromechanics

Dmytro Sushko, Ukrainian State University of Railway Transport Feierbakha sq., 7, Kharkiv, Ukraine, 61050

PhD, Associate Professor

Department of Electric Power Engineering, Electrical Engineering and Electromechanics

Denys Hordiienko, Ukrainian State University of Railway Transport Feierbakha sq., 7, Kharkiv, Ukraine, 61050

Postgraduate Student

Department of Electric Power Engineering, Electrical Engineering and Electromechanics

Hryhorii Khoruzhevskyi, Limited Liability Company «VО ОVЕN» Hvardiytsiv-Shyronivtsiv str., 3A, Kharkiv, Ukraine, 61153

Сonstructor Engineer

References

  1. Chen, F., Qiao, W. (2016). A general space vector PWM scheme for multilevel inverters. 2016 IEEE Energy Conversion Congress and Exposition (ECCE). doi: https://doi.org/10.1109/ecce.2016.7854687
  2. Dai, P., Guo, G., Gong, Z. (2016). A Selection Precharge Method for Modular Multilevel Converter. International Journal of Control and Automation, 9 (4), 161–170. doi: https://doi.org/10.14257/ijca.2016.9.4.16
  3. Adapa, A. K., John, V. (2019). An Auxiliary-Capacitor-Based Active Phase Converter With Reduced Device Current Stress. IEEE Transactions on Industrial Electronics, 66 (9), 6925–6935. doi: https://doi.org/10.1109/tie.2018.2877087
  4. Bharadwaj, P., John, V. (2019). Subcell Modeling of Partially Shaded Photovoltaic Modules. IEEE Transactions on Industry Applications, 55 (3), 3046–3054. doi: https://doi.org/10.1109/tia.2019.2899813
  5. Nerubatskyi, V., Plakhtii, O., Ananіeva, O., Zinchenko, O. (2019). Analysis of the Smart Grid concept for DC power supply systems. International scientific journal «INDUSTRY 4.0», 4 (4), 179–182.
  6. Vamanan, N., John, V. (2018). Dual-Comparison One-Cycle Control for Single-Phase Bidirectional Power Converters. IEEE Transactions on Industry Applications, 54 (5), 4621–4631. doi: https://doi.org/10.1109/tia.2018.2836359
  7. Du, S., Dekka, A., Wu, B., Zargari, N. (2017). Modular Multilevel Converters: Analysis, Control, and Applications. John Wiley & Sons. doi: https://doi.org/10.1002/9781119367291
  8. Helmers, E., Weiss, M. (2017). Advances and critical aspects in the life-cycle assessment of battery electric cars. Energy and Emission Control Technologies, 5, 1–18. doi: https://doi.org/10.2147/eect.s60408
  9. Deng, F., Chen, Z. (2015). Voltage-Balancing Method for Modular Multilevel Converters Switched at Grid Frequency. IEEE Transactions on Industrial Electronics, 62 (5), 2835–2847. doi: https://doi.org/10.1109/tie.2014.2362881
  10. Plakhtii, O., Nerubatskyi, V., Sushko, D., Ryshchenko, I., Tsybulnyk, V., Hordiienko, D. (2019). Improving energy characteristics of ac electric rolling stock by using the three-level active four-quadrant rectifiers. Eastern-European Journal of Enterprise Technologies, 4 (8 (100)), 6–14. doi: https://doi.org/10.15587/1729-4061.2019.174112
  11. Shruti, K. K., Valsalan, T., Poorani, S. (2017). Single phase active front end rectifier system employed in three phase variable frequency drive. International Journal of Innovative Research in Electrical, Electronics, Instrumentation and Control Engineering, 121–129. Available at: https://ijireeice.com/wp-content/uploads/2017/05/IJIREEICE-nCORETech-16.pdf
  12. Kumari, B., Sankar, M. (2014). Modeling and individual voltage balancing control of modular multilevel cascade converter. International Journal of Emerging Engineering Research and Technology, 2 (1), 42–48.
  13. Plakhtii, O., Nerubatskyi, V., Ryshchenko, I., Zinchenko, O., Tykhonravov, S., Hordiienko, D. (2019). Determining additional power losses in the electricity supply systems due to current's higher harmonics. Eastern-European Journal of Enterprise Technologies, 1 (8 (97)), 6–13. doi: https://doi.org/10.15587/1729-4061.2019.155672
  14. Venkatramanan, D., Bharadwaj, P., Adapa, A. K., John, V. (2019). Power Conversion Technologies for High-Performance AC Micro-grid. INAE Letters, 4 (1), 27–35. doi: https://doi.org/10.1007/s41403-018-00062-6
  15. Martinez-Rodrigo, F., Ramirez, D., Rey-Boue, A., de Pablo, S., Herrero-de Lucas, L. (2017). Modular Multilevel Converters: Control and Applications. Energies, 10 (11), 1709. doi: https://doi.org/10.3390/en10111709
  16. Nerubatskyi, V. P., Plakhtii, O. A., Karpenko, N. P., Hordiienko, D. A., Tsybulnyk, V. R. (2019). Analysis of energy processes in a seven-level autonomous voltage inverter at various modulation algorithms. Information and control systems on railway transport, 5, 8–18. doi: https://doi.org/10.18664/ikszt.v24i5.181286
  17. Plakhtiy, A., Nerubatskyi, V., Tsibulnyk, V. (2019). Stabilization of voltages on capacitors of cells in modular multilevel inverters with space-vector PWM. Bulletin of NTU "Kharkiv Polytechnic Institute" Series: Electrical Machines and Electromechanical Energy Conversion, 20 (1345), 42–52. doi: https://doi.org/10.20998/2409-9295.2019.20.06
  18. Mali, S. M., Patil, B. G. (2018). THD Minimization in Multilevel Inverter Using Optimization Approach. International Journal of Engineering Research & Technology (IJERT), 7 (6), 97–100.
  19. Sonia, K., Seshadri, G. (2015). Analysis and modelling of a multilevel inverter in distribution system with FACTS capability. International Journal of Innovative Research in Science, Engineering and Technology, 4 (5), 3015–3021.
  20. Aghdam, M., Fathi, S., Gharehpetian, G. B. (2008). Harmonic Optimization Techniques in Multi-Level Voltage-Source Inverter with Unequal DC Sources. Journal of Power Electronics, 8 (2), 171–180.
  21. Kurwale, M. V., Sharma, P. G., Bacher, G. (2014). Performance analysis of modular multilevel converter (MMC) with continuous and discontinuous pulse width modulation (PWM). International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, 3 (2), 7463–7474. Available at: https://pdfs.semanticscholar.org/d351/b7b2b80426065468fd39c8d746f70fee1296.pdf
  22. Plakhtii, O., Nerubatskyi, V., Karpenko, N., Hordiienko, D., Butova, O., Khoruzhevskyi, H. (2019). Research into energy characteristics of single-phase active four-quadrant rectifiers with the improved hysteresis modulation. Eastern-European Journal of Enterprise Technologies, 5 (8 (101)), 36–44. doi: https://doi.org/10.15587/1729-4061.2019.179205
  23. Zhou J., Suand J., Wang X. (2014). Pre-charging control of modular multilevel converter. High Voltage Apparatus, 50 (4), 103–107.
  24. Solas, E., Abad, G., Barrena, J. A., Aurtenetxea, S., Carcar, A., Zajac, L. (2013). Modular Multilevel Converter With Different Submodule Concepts – Part I: Capacitor Voltage Balancing Method. IEEE Transactions on Industrial Electronics, 60 (10), 4525–4535. doi: https://doi.org/10.1109/tie.2012.2210378
  25. Plakhtii, O. A., Nerubatskyi, V. P., Hordiienko, D. A., Tsybulnyk, V. R. (2019). Analysis of the energy efficiency of a two-level voltage source inverter in the overmodulation mode. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 4 (172), 68–72. doi: https://doi.org/10.29202/nvngu/2019-4/9
  26. Yang, H., Saeedifard, M. (2017). A Capacitor Voltage Balancing Strategy With Minimized AC Circulating Current for the DC–DC Modular Multilevel Converter. IEEE Transactions on Industrial Electronics, 64 (2), 956–965. doi: https://doi.org/10.1109/tie.2016.2613059
  27. Kelrykh, М., Fomin, О. (2014). Perspective directions of planning carrying systems of gondolas. Metallurgical and Mining Industry, 6, 64–67.
  28. Fomin, O. (2015). Improvement of upper bundling of side wall of gondola cars of 12-9745 model. Metallurgical and Mining Industry, 1, 45–48.
  29. Nerubatskyi, V., Plakhtii, O., Hordiienko, D., Khoruzhevskyi, H. (2019). Simulation of surge protection according IEC 61000-4-5. International scientific journal «Industry 4.0», 4 (6), 293–296.
  30. Korneliuk, S., Dmitriev, P., Tugay, D. (2019). Empirical support of the mathematical model of the wind turbine WPI. Lighting Engineering & Power Engineering, 2 (55), 68–72. doi: https://doi.org/10.33042/2079-424x-2019-2-55-68-72
  31. Bashir, S. B., Beig, A. R. (2018). An improved voltage balancing algorithm for grid connected MMC for medium voltage energy conversion. International Journal of Electrical Power & Energy Systems, 95, 550–560. doi: https://doi.org/10.1016/j.ijepes.2017.09.002
  32. Plakhtii, O. A., Nerubatskyi, V. P., Kavun, V. Y., Hordiienko, D. A. (2019). Active single-phase four-quadrant rectifier with improved hysteresis modulation algorithm. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, (5), 93–98. doi: https://doi.org/10.29202/nvngu/2019-5/16
  33. Scherback, Y. V., Plakhtiy, O. A., Nerubatskiy, V. P. (2017). Control characteristics of active four-quadrant converter in rectifier and recovery mode. Tekhnichna Elektrodynamika, 6, 26–31. doi: https://doi.org/10.15407/techned2017.06.026
  34. Zhemerov, G. G., Krylov, D. S. (2018). Concept of construction of power circuits of a multilevel modular converter and its transistor modules. Electrical Engineering & Electromechanics, 6, 26–32. doi: https://doi.org/10.20998/2074-272x.2018.6.03
  35. Fomin, О. V., Burlutsky, O. V., Fomina, Yu. V. (2015). Development and application of cataloging in structural design of freight car building. Metallurgical and Mining Industry, 2, 250–256.
  36. Franco, V., Zacharopoulou, T., Hammer, J., Schmidt, H., Mock, P., Weiss, M., Samaras, Z. (2016). Evaluation of Exhaust Emissions from Three Diesel-Hybrid Cars and Simulation of After-Treatment Systems for Ultralow Real-World NOx Emissions. Environmental Science & Technology, 50 (23), 13151–13159. doi: https://doi.org/10.1021/acs.est.6b03585
  37. Nerubatskyi, V., Plakhtii, O., Kotlyarov, V. (2019). Analysis of topologies of active four-quadrant rectifiers for implementing the INDUSTRY 4.0 principles in traffic power supply systems. International scientific journal «Industry 4.0», 4 (3), 106–109.
  38. Plakhtii, O., Nerubatskyi, V., Philipjeva, M., Mashura, A. (2019). Research of mathematical models of lithium-ion storages. International scientific journal «Mathematical modeling», 3 (4), 127–130.
  39. Gevorkyan, E. S., Rucki, M., Kagramanyan, A. A., Nerubatskiy, V. P. (2019). Composite material for instrumental applications based on micro powder Al2O3 with additives nano-powder SiC. International Journal of Refractory Metals and Hard Materials, 82, 336–339. doi: https://doi.org/10.1016/j.ijrmhm.2019.05.010
  40. Meshram, P. M., Borghate, V. B. (2015). A Simplified Nearest Level Control (NLC) Voltage Balancing Method for Modular Multilevel Converter (MMC). IEEE Transactions on Power Electronics, 30 (1), 450–462. doi: https://doi.org/10.1109/tpel.2014.2317705
  41. Tugay, D., Sayenko, Y., Kolontaevsky, Y., Shkurpela, A. (2019). Distributed solar photovoltaic power station conversion system with power filtration function. International Ukraine-Poland Seminar «Power quality in distribution networks with distributed generation», 131–138. doi: http://doi.org/10.32073/iepl.2019.15
  42. Emel'yanov, A. A., Pesterov, D. I., Votyakov, A. S., Gusev, V. M., Beskletkin, V. V., Bystryh, D. A., Gabzalilov, E. F. (2017). K ponimaniyu vektornoy sistemy shirotno-impul'snoy modulyatsii invertora napryazheniya. Molodoy ucheniy, 52 (186), 1–14.
  43. Ramadan, S. Gh., Sarhan, G. M., Yousef, A. Y. (2015). Microcontroller Based Space Vector PWM Control of Three Phase Voltage Source Inverter. HCTL Open International Journal of Technology Innovations and Research (IJTIR), 17, 1–13.
  44. Gaballah, M. M. (2012). Design and Implementation of Space Vector PWM Inverter Based on a Low Cost Microcontroller. Arabian Journal for Science and Engineering, 38 (11), 3059–3070. doi: https://doi.org/10.1007/s13369-012-0464-2

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Published

2020-04-30

How to Cite

Plakhtii, O., Nerubatskyi, V., Sushko, D., Hordiienko, D., & Khoruzhevskyi, H. (2020). Improving the harmonic composition of output voltage in multilevel inverters under an optimum mode of amplitude modulation. Eastern-European Journal of Enterprise Technologies, 2(8 (104), 17–24. https://doi.org/10.15587/1729-4061.2020.200021

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Section

Energy-saving technologies and equipment