Mathematical modeling of a magnetic gear for an autonomous wind turbine

User Rating:  / 0
PoorBest 

Authors:


M.A.Kovalenko, orcid.org/0000-0002-5602-2001, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

I.Ya.Kovalenko*, orcid.org/0000-0003-1097-2041, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

I.V.Tkachuk, orcid.org/0000-0002-5717-2458, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

A.G.Harford, orcid.org/0000-0002-9898-6474, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

D.V.Tsyplenkov, orcid.org/0000-0002-0378-5400, Dnipro University of Technology, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

* Corresponding author e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.


повний текст / full article



Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2024, (2): 088 - 095

https://doi.org/10.33271/nvngu/2024-2/088



Abstract:



Purpose.
Development of a two-dimensional field mathematical model of a magnetic gearbox operating as part of a low-power wind turbine for the purpose of evaluating its parameters and characteristics and optimizing geometric parameters from the point of view of electromagnetic torque pulsations.


Methodology.
To carry out the research, the methods of the general theory of electromechanical energy converters, numerical methods of mathematical modeling based on the finite element method, numerical solution of nonlinear differential equations, and methods of spectral analysis to estimate pulsations of the electromagnetic torque were used in the work.


Findings.
The paper developed a two-dimensional numerical field mathematical model of a magnetic gearbox for an autonomous wind turbine. The model was developed to evaluate the parameters and characteristics of the magnetic gear, as well as to evaluate the influence of the design parameters on the magnitude of the electromagnetic torque and the magnitude of the pulsations of the electromagnetic torque. The effect of the configuration of permanent magnets, the parameters of the ferromagnetic inserts of the magnetic flux modulator and the size of the air gap was investigated in the paper. The obtained results show that there is an optimal configuration of permanent magnets and ferromagnetic elements of the magnetic flux modulator in which the maximum electromagnetic torque and minimum pulsations are achieved. Changing the parameters of the magnetic system affects the dynamics of the magnetic gear, its reliability and efficiency, therefore configuration optimization is an important task in the design, development and implementation of such systems.


Originality.
A two-dimensional field mathematical model of the magnetic gear has been developed, which makes it possible to estimate the change in its parameters and characteristics when the geometric dimensions change. This allows investigating the influence of various parameters of the magnetic system, such as the height of the permanent magnets and the width of the ferromagnetic inserts, on the electromagnetic torque. This makes it possible to obtain the optimal configuration of the system to achieve the optimal value of the torque and minimal pulsations and to determine the regularity of the change of the electromagnetic torque and other parameters of the gearbox under different operating modes in the future.


Practical value.
The simulation results indicate the prospects of industrial implementation of magnetic gaers as part of a wind power plant, and the obtained research results indicate the possibility of optimizing the design of magnetic gears in order to increase their reliability and efficiency.



Keywords:
magnetic gear, permanent magnets, wind energy, wind-power engineering, electromagnetic torque, torque pulsations

References.


1. Golovko, V., Ostroverkhov, M., Kovalenko, M., Kovalenko, I., & Tsyplenkov, D. (2022). Mathematical simulation of autonomous wind electric installation with magnetoelectric generator. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, (5), 74-79. https://doi.org/10.33271/nvngu/2022-5/074.

2. Chumack, V., Bazenov, V., Tymoshchuk, O., Kovalenko, M., Tsyvinskyi, S., Kovalenko, I., & Tkachuk, I. (2021). Voltage stabilization of a controlled autonomous magnetoelectric generator with a magnetic shunt and permanent magnet excitation. Eastern-European Journal of Enterprise Technologies, 6(5(114), 56-62. https://doi.org/10.15587/1729-4061.2021.246601.

3. Ostroverkhov, M., Chumack, V., Kovalenko, M., & Kovalenko, I. (2022). Development of the control system for taking off the maximum power of an autonomous wind plant with a synchronous magnetoelectric generator. Eastern-European Journal of Enterprise Technologies, 4(2(118), 67-78. https://doi.org/10.15587/1729-4061.2022.263432.

4. Beshta, O.O., Beshta, O.S., Beshta, D., Tkachenko, S., Khalai­mov, T., & Skliar, D. (2023). Technologies for Increasing the Energy Efficiency of Electric Vehicles. IEEE 5 th International Conference on Modern Electrical and Energy System (MEES), 1-5. https://doi.org/10.1109/MEES61502.2023.10402470.

5. Jian, H., Yao, L., Li, W.-J., & Zhang, J. (2017). Design and realization of a novel magnetic nutation drive for industry robotic wrist reducer. Industrial Robot: An International Journal, 44, 58-63. https://doi.org/10.1108/IR-04-2016-0130.

6. Yu, W., Wang, C., & Xu, T. (2019). The design method of a novel magnetic suction gear reducer. IOP Conference Series: Materials Science and Engineering, 504, 012093. https://doi.org/10.1088/1757-899X/504/1/012093.

7. Hasanpour, S., Johnson, M., Gardner, M., & Toliyat, H. (2022). Cycloidal Reluctance Magnetic Gears for High Gear Ratio Applications. IEEE Transactions on Magnetics, 58(6), 1-10, 8001210. https://doi.org/10.1109/TMAG.2022.3163419.

8. Gardner, M., Praslicka, B., Johnson, M., & Toliyat, H. (2021). Optimization of Coaxial Magnetic Gear Design and Magnet Material Grade at Different Temperatures and Gear Ratios. IEEE Transactions on Energy Conversion, 36(3), 2493-2501. https://doi.org/10.1109/TEC.2021.3054806.

9. Dai, B., Nakamura, K., Suzuki, Y., Tachiya, Y., & Kuritani, K. (2022). Cogging Torque Reduction of Integer Gear Ratio Axial-Flux Magnetic Gear for Wind-Power Generation Application by Using Two New Types of Pole Pieces. IEEE Transactions on Magnetics, 58(8), 1-5, 8002205. https://doi.org/10.1109/TMAG.2022.3159002.

10. Chumak, V., Ostrovierkhov, M., Kovalenko, M., Holovko, V., & Kovalenko, I. (2022). Correction of the output power of the generator of the multiplierless wind power plant at discrete and random values of the wind speed. Bulletin of NTU “KhPI”. Series: Problems of improvement of electric machines and devices. Theory and practice, 2(8), 39-46. https://doi.org/10.20998/2079-3944.2022.2.07.

11. Chumak, V., Kovalenko, M., Tkachuk, I., & Kovalenko, I. (2022). Comparison of synchronous generators for an autonomous gasoline installation. Bulletin of NTU “KhPI”. Series: Problems of improvement of electric machines and devices. Theory and practice, 2(8), 32-38. https://doi.org/10.20998/2079-3944.2022.2.06.

12. Moghimi, A., Aliabadi, M., & Farahani, H. (2022). Triple-speed coaxial magnetic gear for wind turbine applications: introduction and comprehensive analysis. COMPEL – The international journal for computation and mathematics in electrical and electronic engineering, 41(4). https://doi.org/10.1108/Compel-01-2022-0001.

13. Aiso, K., Akatsu, K., & Aoyama, Y. (2021). A Novel Flux-Switching Magnetic Gear for High-Speed Motor Drive System. IEEE Transactions on Industrial Electronics, 68(6), 4727-4736. https://doi.org/10.1109/TIE.2020.2988230.

14. Ruiz-Ponce, G., Arjona, M., Hernandez, C., & Escarela-Pe­rez, R. (2023). A Review of Magnetic Gear Technologies Used in Mechanical Power Transmission. Energies, 16, 1721. https://doi.org/10.3390/en16041721.

15. Wang, Y., Filippini, M., Bianchi, N., & Alotto, P. (2019). A Review on Magnetic Gears: Topologies, Computational Models, and Design Aspects. IEEE Transactions on Industry Applications, 55(5), 4557-4566. https://doi.org/10.1109/TIA.2019.2916765.

16. Nielsen, S., Wong, H., Baninajar, H., Bird, J., & Rasmussen, P. (2022). Pole and Segment Combination in Concentric Magnetic Gears: Vibrations and Acoustic Signature. IEEE Transactions on Energy Conversion, 37(3), 1644-1654. https://doi.org/10.1109/TEC.2022.3151654.

17. Ding, J., Yao, L., Xie, Z., Wang, Z., & Chen, G. (2022). A Novel 3-D Mathematical Modeling Method on the Magnetic Field in Nutation Magnetic Gear. IEEE Transactions on Magnetics, 58(5), 1-10. https://doi.org/10.1109/TMAG.2022.3158973.

18. Syam, S., Kurniati, S., & Ramang, R. (2022). Design and Characteristics of Axial Magnetic Gear Using Rectangular. Magnet. https://doi.org/10.31219/osf.io/5c724.

19. Mizuana Yuma, Nakamura Kenji, Suzuki Yuma, Oishi Yuhei, Tachiya Yuichi & Kuritani Kingo (2020). Development of spoke-type IPM magnetic gear. International Journal of Applied Electromagnetics and Mechanics, 64, 771-778. https://doi.org/10.3233/JAE-209389.

20. Cansiz, A., & Akyerden, E. (2019). The use of high temperature superconductor bulk in a coaxial magnetic gear. Cryogenics. https://doi.org/98.10.1016/j.cryogenics.2019.01.008.

21. Tzouganakis, P., Gakos, V., Kalligeros, C., Papalexis, C., Tsolakis, A., & Spitas, V. (2022). Torque ripple investigation in coaxial magnetic gears. MATEC Web of Conferences, 366. https://doi.org/01004.10.1051/matecconf/202236601004.

22. Misron, N., Mohd Saini, L., Aris, I., Vaithilingam, C. A., & Tsuyoshi, H. (2020). Simplified Design of Magnetic Gear by Considering the Maximum Transmission Torque Line. Applied Sciences. https://doi.org/10.3390/app10238581.

23. Ishikawa, S., & Todaka, T. (2020). Transient-operation phenomena of a magnetic reducer analyzed with the time-stepping FEM. 23 rd International Conference on Electrical Machines and Systems, 1898-1901. https://doi.org/10.23919/ICEMS50442.2020.9291208.

24. Tzouganakis, P., Gakos, V., Kalligeros, C., Tsolakis, A., & Spi­tas, V. (2022). Fast and efficient simulation of the dynamical response of coaxial magnetic gears through direct analytical torque modelling. Simulation Modelling Practice and Theory, 123. https://doi.org/10.1016/j.simpat.2022.102699.

25. Kastawan, I., & Rusmana (2016). Pengujian pembangkitan tegangan generator axial-flux permanent magnet (AFPM) tiga-fasa ganda. Jurnal Teknik Energi, 6, 503-509. https://doi.org/10.35313/energi.v6i2.1713.

26. Asfirane, S., Hlioui, S., Amara, Y., & Gabsi, M. (2019). Study of a Hybrid Excitation Synchronous Machine: Modeling and Experimental Validation. Mathematical and Computational Applications, 24(2), 34. https://doi.org/10.3390/mca24020034.

 

Visitors

6375625
Today
This Month
All days
2414
50520
6375625

Guest Book

If you have questions, comments or suggestions, you can write them in our "Guest Book"

Registration data

ISSN (print) 2071-2227,
ISSN (online) 2223-2362.
Journal was registered by Ministry of Justice of Ukraine.
Registration number КВ No.17742-6592PR dated April 27, 2011.

Contacts

D.Yavornytskyi ave.,19, pavilion 3, room 24-а, Dnipro, 49005
Tel.: +38 (056) 746 32 79.
e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
You are here: Home Authors and readers requirements to authors EngCat Archive 2024 Content №2 2024 Mathematical modeling of a magnetic gear for an autonomous wind turbine