A Review Analysis on Performance and Classification of Wind Turbine Gearbox Technologies

References

• T. B. Johansson, H. Kelly, A. K. N. Reddy, and R. H. Williams, “Renewable fuels and electricity for a growing world economy: Defining and achieving the potential,” Energy Stud. Rev., Vol. 4, no. 3, pp. 199–212, 1993.
   Google Scholar
• Indian Wind energy – A brief outlook 2016. Global Wind Energy Council, 2016.
   Google Scholar
• J. F. Hall, and D. Chen, “Dynamic optimization of drivetrain gear ratio to maximize wind turbine power generation-Part 1: System model and control framework,” J. Dyn. Syst. Meas. Control Trans. Asme., Vol. 135, no. 1, pp. 1–10, Oct. 2013.
   Web of Science ®Google Scholar
• J. F. Hall, and D. Chen, “Dynamic optimization of drivetrain gear ratio to maximize wind turbine power generation-Part 2: Control design,” J. Dyn. Syst. Meas. Control Trans. Asme., Vol. 135, no. 1, pp. 1–10, Oct. 2013.
   Web of Science ®Google Scholar
• K. N. Hamid, C. Swanil, and F. H. John, “A design methodology for selecting ratios for a variable ratio gearbox used in a wind turbine with active blades,” Renew. Energ., Vol. 118, pp. 1041–51, Apr. 2018.
   Web of Science ®Google Scholar
• F. H. John, A. M. Christine, C. Dongmei, and B. P. Siddharth, “Wind energy conversion with a variable-ratio gearbox: Design and analysis,” Renew. Energ., Vol. 36, pp. 1075–80, Mar. 2011.
   Web of Science ®Google Scholar
• P. Carlin, A. Laxson, and E. Muljadi, “The history and state of the art of variable-speed wind turbine technology,” Report No. NREL/TP-28607 United States Department of Energy, Feb. 2001.
   Google Scholar
• R. C. Bansal, A. F. Zobaa, and R. K. Saket, “Some issues related to power generation using wind energy conversion systems: An overview,” Int. J. Emerg. Electr. Power Syst., Vol. 3, no. 2, pp. 1–17, Jan. 2005.
   Google Scholar
• J. A. Baroudi, V. Dinavahi, and A. M. Knight, “A review of power converter topologies for wind generators,” Renew. Energ., Vol. 32, no. 14, pp. 458–65, Jun. 2005.
   Web of Science ®Google Scholar
• E. Muljadi, C. P. Butterfield, and P. Migliore, “Variable speed operation of generators with rotor-speed feedback in wind power applications,” J. Sol. Energ. Eng., Vol. 118, pp. 270–7, Feb. 1996.
   Web of Science ®Google Scholar
• L. Fingersh, and M. Robinson, “The effects of variable speed and drive train component efficiencies on wind turbine energy capture,” Report No. CP-500-22082. United States Department of Energy, May. 1998.
   Google Scholar
• K. Fanchen, Z. Xiaoyong, Q. Li, G. Yeming, and Q. Lei, “Optimizing design of magnetic planetary gearbox for reduction of cogging torque,” in IEEE Vehicle Power and Propulsion Conference (VPPC), Beijing, China, Nov. 2013, pp. 239–43.
   Google Scholar
• X. Zhiqiang, Z. Jianhua, J. Jingfang, and Y. Xiangjun, “A review of condition monitoring and fault diagnosis of wind turbine gearbox using signal processing,” Adv. Mat. Res., Vol. 608, no. 609, pp. 673–6, 2013.
   Google Scholar
• C. Ming, and Z. Ying, “The state of the art of wind energy conversion systems and technologies: A review,” Energ. Convers. Manag., Vol. 88, pp. 332–47, Dec. 2014.
   Web of Science ®Google Scholar
• C. Zhe, M. G. Josep, and B. Frede, “A review of the state of the art of power electronics for wind turbines,” IEEE Trans. Power Electron., Vol. 24, no. 8, pp. 1859–75, Aug. 2009.
   Web of Science ®Google Scholar
• L. Xihui, J. Z. Ming, and F. Zhipeng, “Dynamic modeling of gearbox faults: A review,” Mech. Syst. Signal. Process., Vol. 98, pp. 852–76, Jan. 2018.
   Web of Science ®Google Scholar
• I. Joel, A. Kazem, D. Christopher, and H. Keld, “Performance assessment of wind turbine gearboxes using in-service data: Current approaches and future trends,” Renew. Sust. Energ. Rev., Vol. 50, pp. 144–59, Oct. 2015.
   Web of Science ®Google Scholar
• W. Y. Liu, B. P. Tang, J. G. Han, X. N. Lu, N. N. Hu, and Z. Z. He, “The structure healthy condition monitoring and fault diagnosis methods in wind turbines: A review,” Renew. Sust. Energ. Rev., Vol. 44, pp. 466–72, Apr. 2015.
   Web of Science ®Google Scholar
• A. Giallanza, M. Porretto, L. Cannizzaro, and G. Marannano, “Analysis of the maximization of wind turbine energy yield using a continuously variable transmission system,” Renew Energ, Vol. 102, pp. 481–6, Mar. 2017.
   Web of Science ®Google Scholar
• T. C. Georgios, and N. G. Pantelis, “Development and friction estimation of the half-toroidal continuously variable transmission: A wind generator application,” Simul Model Pract Th, Vol. 66, pp. 63–80, Aug. 2016.
   Web of Science ®Google Scholar
• J. W. Rong, and G. Stiaan, “Magnetically geared wind generator technologies: Opportunities and challenges,” Appl. Energy, Vol. 136, pp. 817–26, Dec. 2014.
   Web of Science ®Google Scholar
• L. Changzhao, Q. Datong, C. L. Teik, and L. Yinghua, “Dynamic characteristics of the herringbone planetary gear set during the variable speed process,” J. Sound. Vib., Vol. 333, no. 24, pp. 6498–515, Dec. 2014.
   Web of Science ®Google Scholar
• X. Ling, G. Nan, and H. Aijun, “Dynamic analysis of a planetary gear system with multiple nonlinear parameters,” J. Comput. Appl. Math., Vol. 327, pp. 325–40, Jan. 2018.
   Web of Science ®Google Scholar
• N. Charles, K. Adam, S. Jussi, M. Aki, and I. P. Jose, “Planetary gear sets power loss modeling: Application to wind turbines,” Tribol. Int., Vol. 105, pp. 42–54, Jan. 2017.
   Web of Science ®Google Scholar
• A. Kahraman, “Free torsional vibration characteristics of compound planetary gear sets,” Mech. Mach. Theory., Vol. 36, pp. 953–71, Aug. 2001.
   Web of Science ®Google Scholar
• V. J. Ambarisha, and R. G. Parker, “Nonlinear dynamics of planetary gears using analytical and finite element models,” J. Sound. Vib., Vol. 302, pp. 577–95, May. 2007.
   Web of Science ®Google Scholar
• F. Chaari, T. Fakhfakh, R. Hbaieb, J. Louati, and M. Haddar, “Influence of manufacturing errors on the dynamic behavior of planetary gears,” Int. J. Adv. Manuf. Technol., Vol. 27, pp. 738–46, Jan. 2006.
   Web of Science ®Google Scholar
• J. Damir, P. Srdjan, and P. Milan, “A novel hybrid transmission for variable speed wind turbines,” Renew Energ, Vol. 83, pp. 78–84, Nov. 2015.
   Web of Science ®Google Scholar
• Z. Xueyong, and M. Peter, “A novel power splitting drive train for variable speed wind power generators,” Renew Energ, Vol. 28, pp. 2001–11, Oct. 2003.
   Web of Science ®Google Scholar
• J. F. Hall, and D. Chen, “Performance of a 100 kW wind turbine with a variable ratio gearbox,” Renew Energ, Vol. 44, pp. 261–6, Aug. 2012.
   Web of Science ®Google Scholar
• Z. Zijun, V. Anoop, and K. Andrew, “Fault analysis and condition monitoring of the wind turbine gearbox,” IEEE Trans. Energy Convers., Vol. 27, no. 2, pp. 526–35, Apr. 2012.
   Web of Science ®Google Scholar
• A. Bodas, and A. Kahraman, “Influence of carrier and gear manufacturing errors on the static load sharing behavior of planetary gear sets,” JSME Int J C Mech Sy, Vol. 47, no. 3, pp. 908–15, 2004.
   Web of Science ®Google Scholar
• International organization for standardization (ISO) standards 21771. Gears-Cylindrical Involute Gears and Gear Pairs-Concepts and Geometry. Geneva, Switzerland: ISO, 2007.
   Google Scholar
• P. Young-Jun, L. Geun-Ho, S. Jin-Seop, N. Yong-Yun, and N. Ju-Seok, “Optimal design of wind turbine gearbox using helix modification,” Eng. Agric. Environ. Food, Vol. 6, no. 4, pp. 147–51, 2013.
   Google Scholar
• P. Young-Jun, K. Jeong-Gil, L. Geun-Ho, and S. Sung Bo, “Load sharing and distributed on the gear flank of wind turbine planetary gearbox,” J. Mech. Sci. Technol., Vol. 29, no. 1, pp. 309–16, Jan. 2015.
   Web of Science ®Google Scholar
• L. Germanischer, Windenergie Gmbh (GL Wind) Guideline for the Certification of Wind Turbines. Hamburg: Germanischer Lloyd, 2003.
   Google Scholar
• L. Qian, A. Rudiger, and H. Kay, “Wind turbine with mechanical power split transmission to reduce the power electronic devices: An Experimental Validation,” IEEE Trans. Ind. Electron., Vol. 64, no. 11, pp. 8811–20, Oct. 2017.
   Web of Science ®Google Scholar
• J. Carroll, A. McDonald, and D. McMillan, “Reliability comparison of wind turbines with DFIG and PMG drive trains,” IEEE Trans. Energy Convers., Vol. 30, no. 2, pp. 663–70, Jun. 2015.
   Web of Science ®Google Scholar
• D. Kaoshan, B. Anthony, L. Chao, X. Wei-Ning, and H. Zhenhua, “Environmental issues associated with wind energy – A review,” Renew. Energ., Vol. 75, pp. 911–21, Mar. 2015.
   Web of Science ®Google Scholar
• M. F. Aoife, G. L. Paul, M. Antonino, and J. M. Eamon, “Current methods and advances in forecasting of wind power generation,” Renew. Energ., Vol. 37, pp. 1–8, Jan. 2012.
   Web of Science ®Google Scholar
• J. N. Jaesung, and P. B. Robert, “Current status and future advances for wind speed and power forecasting,” Renew. Sust. Energ. Rev., Vol. 31, pp. 762–77, Mar. 2014.
   Web of Science ®Google Scholar
• X. Rui, L. Li, and X. Li, “Fundamentals of a power splitting driving chain for large wind turbines,” in IEEE Proceeding, 7th World Congress on Intelligent Control and Automation, (WCICA), Chongqing, China, Aug. 2008, pp. 9347–50.
   Google Scholar
• Q. Xinghui, H. Qinkai, and C. Fulei, “Load-sharing characteristics of planetary gear transmission in horizontal axis wind turbines,” Mech. Mach. Theory., Vol. 92, pp. 391–406, Oct. 2015.
   Web of Science ®Google Scholar
• W. Xiaochen, G. Peng, and H. Xiaobin, “A review of wind power forecasting models,” Energy Procedia, Vol. 12, pp. 770–8, Sep. 2011.
   Google Scholar
• T. Ackermann. Wind Power in Power Systems. New York, USA: Wiley, 2005.
   Google Scholar
• A. Betz, Introduction to the Theory of Flow Machines. London, UK: Pergamon Press Oxford, 1996.
   Google Scholar
• J. Laks, L. Pao, and A. Alleyne, “Comparison of wind turbine operating transitions through the use of iterative learning control,” American Control Conference (ACC), San Francisco, CA, USA, Aug. 2011, pp. 4312–19.
   Google Scholar
• E. Iyasere, M. Salah, D. Dawson, and J. Wagner, “Nonlinear robust control to maximize energy capture in a variable speed wind turbine,” American Control Conference (ACC), Seattle, WA, USA, Aug. 2008, pp. 1824–29.
   Google Scholar
• J. Creaby, Y. Li, and J. E. Seem, “Maximizing wind turbine energy capture using multivariable extremum seeking control,” Wind. Eng., Vol. 33, no. 4, pp. 361–87, Jun. 2009.x'
   Google Scholar
• K. E. Johnson, “Adaptive torque control of variable speed wind turbines. Technical Report No. NREL/TP-500-36265,” National Renewable Energy Laboratory, Golden, CO, 2004.
   Google Scholar
• A. Rex, and K. Johnson, “Methods for controlling a wind turbine system with a continuously variable transmission in region 2,” J. Sol. Energy. Eng., Vol. 131, no. 3, pp. 1–8, Jul. 2009.
   Web of Science ®Google Scholar
• M. Shaltout, N. Zhao, J. F. Hall, and D. Chen, “Wind turbine gearbox control for maximum energy capture and prolonged gear life,” in 5th Annual Dynamic Systems and Control Conference and 11th Motion and Vibration Conference, Fort Lauderdale, Florida, USA, 2012, pp. 1–7.
   Google Scholar
• H. F. John, and C. Dongmei, “Dynamic optimization of drivetrain gear ratio to maximize wind turbine power generation-Part 1: System model and control framework,” J of Dyna Sys Measure and Control, Vol. 135, pp. 1–10, Oct. 2012.
   Web of Science ®Google Scholar
• H. F. John, and C. Dongmei, “Dynamic optimization of drivetrain gear ratio to maximize wind turbine power generation-Part 2: Control design,” J. Dyn. Sys. Meas. Control, Vol. 135, pp. 1–10, Oct. 2012.
   Web of Science ®Google Scholar
• T. Burton, D. Sharpe, N. Jenkins, and E. Bossanyi, Wind Energy Handbook. Chichester, UK: John Wiley and Sons, 2011.
   Google Scholar
• P. W. Carlin, A. S. Laxson, and E. B. Muljadi, “The history and state of the art of variable speed wind turbine technology,” Wind Energ., Vol. 6, pp. 129–69, Feb. 2003.
   Web of Science ®Google Scholar
• G. S. Hwang, C. C. Lin, D. M. Tsay, W. H. Liao, J. H. Kuang, and T. L. Chern, “Kinematic analyses of a parallel-type independently controllable transmission,” Int. J. Autom. Smart. Technol., Vol. 1, pp. 87–92, 2011.
   Google Scholar
• G. S. Hwang, C. C. Lin, D. M. Tsay, J. H. Kuang, and T. L. Chern, “Power flows and torque analyses of an independently controllable transmission with a parallel type,” Proceeding, World Congress on Engineering (WCE), Vol. 3, pp. 1–5, Jul. 2011.
   Google Scholar
• D. Jelaska, Gears and Gear Drives. Chichester, UK: John Wiley & Sons, 2012.
   Google Scholar
• H. W. Muller, Epicyclic Drive Trains. Detroit: Wayne State University Press, 1982.
   Google Scholar
• L. Mangialardi, and G. Mantriota, “The advantages of using continuously variable transmissions in wind power systems,” Renew. Energ., Vol. 2, no. 3, pp. 201–9, Jun.1992.
   Google Scholar
• C. Rossi, P. Corbelli, and G. Grandi, “W-CVT continuously variable transmission for wind energy conversion system,” in IEEE Proceedings, Power Electronics and Machines in Wind Applications (PEMWA), Lincoln, NE, USA, Aug. 2009, pp. 1–10.
   Google Scholar
• Y. Xiu-xing, L. Yong-gang, L. Wei, and G. Hai-gang, “Hydro-viscous transmission based maximum power extraction control for continuously variable speed wind turbine with enhanced efficiency,” Renew. Energ., Vol. 87, pp. 646–55, Mar. 2016.
   Web of Science ®Google Scholar
• Y. Xiu-xing, L. Yong-gang, L. Wei, L. Hong-wei, and G. Ya-jing, “Output power control for hydro-viscous transmission based continuously variable speed wind turbine,” Renew. Energ., Vol. 72, pp. 395–405, Dec. 2014.
   Web of Science ®Google Scholar
• L. Mangialardi, and G. Mantriota, “Automatically regulated C.V.T. in wind power systems,” Renew. Energ., Vol. 4, no. 3, pp. 299–310, Apr. 1994.
   Web of Science ®Google Scholar
• L. Mangialardi, and G. Mantriota, “Dynamic behavior of wind power systems equipped with automatic regulated continuously various transmission,” Renew. Energ., Vol. 7, no. 2, pp. 185–203, Feb. 1996.
   Web of Science ®Google Scholar
• K. Mohamed, A. L. Sid, and C. Ahmed, “Aerodynamic power control of wind turbine using fuzzy logic,” in Renewable and Sustainable Energy Conference (IRSEC), Marrakech, Morocco, Apr. 2016, pp. 1–6.
   Google Scholar
• T. Senjyu, R. Sakamoto, N. Urasaki, T. Funabashi, H. Fujita, and H. Sekine, “Output power leveling of wind turbine generator for all operating regions by pitch angle control,” IEEE Trans. Energy Conv., Vol. 21, pp. 467–75, Jun. 2006.
   Web of Science ®Google Scholar
• M. Hackleman, The Homebuilt Wind-generated Electricity Handbook. City, CA: Earthmind, Peace Press, 1976.
   Google Scholar
• Y. Amirat, M. E. H. Benbouzid, E. Al-Ahmar, B. Bensaker, and S. Turri, “A brief status on condition monitoring and fault diagnosis in wind energy conversion systems,” Renew. Sust. Energ. Rev., Vol. 13, pp. 2629–36, Dec. 2009.
   Web of Science ®Google Scholar
• Z. Hameed, Y. S. Hong, Y. M. Cho, S. H. Ahn, and C. K. Song, “Condition monitoring and fault detection of wind turbines and related algorithms: A review,” Renew. Sust. Energ. Rev., Vol. 13, pp. 1–39, Jan. 2009.
   Web of Science ®Google Scholar
• D. C. Quarton, and J. Wei, “The structure implication of operating wind turbine at variable speed,” in 13th B.W.E.A Conference (BWEA), Swansea, United Kingdom, 1991, pp. 145–51.
   Google Scholar
• J. F. Manwell, J. G. McGowan, and B. H. Bailey, “Electrical/mechanical options for variable speed wind turbines,” Sol. Energy, Vol. 46, pp. 41–51, 1991.
   Web of Science ®Google Scholar
• M. Adam Ragheb, and R. Magdi, “Fundamental and advanced topics in wind power,” in Wind Turbine Gearbox Technologies, R. Carriveau, Ed. Rijeka: INTECH open access publisher, Jul. 2011, pp. 189–206.
   Google Scholar
• G. Carbone, L. Mangialardi, B. Bonsen, C. Tursi, and P.A Veenhuizen, “CVT dynamics: Theory and experiments,” Mech. Mach. Theory., Vol. 42, pp. 409–28, Apr. 2007.
   Web of Science ®Google Scholar
• Y. Toshihiro, T. Taisuke, and O. Shuzo, “Combinedtype continuous variable transmission with quadric crank chains and one-way clutches for wind power generation,” in Materials and Processes for Energy: Communicating Current Research and Technological Developments, A. Mendez-Vilas Ed. Energy Book Series #1, Spain: Formatex Research Center, 2013.
   Google Scholar
• Z. Qinggong, L. Hua, and Y. Jin, “Modeling and kinematics simulation of HT-CVT based on virtual prototype technology,” Appl. Mech. Mater., Vol. 44–47, pp. 884–8, Dec. 2010.
   Google Scholar
• S. Dein, C. Jyun-Yu, and L. Chien-Ting, “Efficiency analysis and controller design of a continuous variable planetary transmission for a CAES wind energy system,” Appl. Energy, Vol. 100, pp. 118–26, Dec. 2012.
   Web of Science ®Google Scholar
• J. Cotrell, “Assessing the potential of a mechanical continuously variable transmission for wind turbines,” National Renewable Energy Laboratory NREL/CP-500-38212, May. 2005.
   Google Scholar
• N. W. Frank, and H. A. Toliyat, “Gearing ratios of a magnetic gear for wind turbines,” in IEEE Proceedings on Electric Machines and Drives Conference (IEMDC), pp. 1224–30, Jun. 2009.
   Google Scholar
• J. Linni, K. T. Cha, and J. Z. Jiang, “A magnetic-geared outer-rotor permanent-magnet brushless machine for wind power generation,” IEEE Trans. Ind. Appl., Vol. 45, no. 3, pp. 954–62, Oct. 2009.
   Web of Science ®Google Scholar
• N. Mengyan, and W. Ling, “Review of condition monitoring and fault diagnosis technologies for wind turbine gearbox,” Procedia CIRP, Vol. 11, pp. 287–90, 2013.
   Google Scholar
• L. Wenlong, K. T. Chau, H. T. L. Christoper, T. W. Ching, M. Chen, and J. Z. Jiang, “A new linear magnetic gear with adjustable gear ratios and its application for direct-drive wave energy extraction,” Renew. Energ., Vol. 105, pp. 199–208, May. 2017.
   Web of Science ®Google Scholar
• E. Gouda, S. Mezani, L. Baghli, and A. Rezzoug, “Comparative study between mechanical and magnetic planetary gears,” IEEE Trans. Magn., Vol. 47, no. 2, pp. 439–50, Feb. 2011.
   Web of Science ®Google Scholar
• T. K. Surya, K. Andreas, R. K. Hamid, and G. R. Kjell, “A review of diagnostics and prognostics of low-speed machinery towards wind turbine farm-level health management,” Renew. Sust. Energ. Rev., Vol. 53, pp. 697–708, Jan. 2016.
   Web of Science ®Google Scholar
• L. Jian, G. Xu, Y. Gong, J. Song, J. Liang, and M. Chang, “Electromagnetic design and analysis of a novel magnetic-gear-integrated wind power generator using time-stepping finite element method,” Prog. Electromagn. Res., Vol. 113, pp. 351–67, 2011.
   Web of Science ®Google Scholar
• A. S. Abdel-Khalik, S. Ahmed, and A. Massoud, “A bearingless coaxial magnetic gear box,” Alexandria Eng. J., Vol. 53, no. 3, pp. 573–82, Sep. 2014.
   Google Scholar
• K. Li, J. Wright, S. Modaresahmadi, D. Som, W. Williams, and J. Z. Bird, “Designing the first stage of a series connected multistage coaxial magnetic gearbox for a wind turbine demonstrator,” in IEEE Proceedings on Energy Conversion Congress and Exposition (ECCE), Cincinnati, OH, USA, Nov. 2017, pp. 1247–54.
   Google Scholar
• K. Atallah, and D. Howe, “A novel high performance magnetic gear,” IEEE Trans. Magn., Vol. 37, no. 4, pp. 2844–6, Jul. 2001.
   Web of Science ®Google Scholar
• L. Yonggang, T. Le, L. Hongwei, and L. Wei, “Fault analysis of wind turbines in China,” Renew. Sust. Energ. Rev., Vol. 55, pp. 482–90, Mar. 2016.
   Web of Science ®Google Scholar
• K. Atallah, S. D. Calverley, and D. Howe, “Design, analysis and realization of a high-performance magnetic gear,” IEE Proceedings – Electric Power Applications, Vol. 151, no. 2, pp. 135–43, Mar. 2004.
   Google Scholar
• L. Wenlong, K. T. Chau, H. T. L. Christoper, T. W. Ching, M. Chen, and J. Z. Jiang, “A new linear magnetic gear with adjustable gear ratios and its application for direct drive wave energy,” Renew Energ, Vol. 105, pp. 199–208, May. 2017.
   Web of Science ®Google Scholar
• L. Jianglin, P. J. Ron, and Z. Xiaoyuan, “Fault-tolerant wind turbine pitch control using adaptive sliding mode estimation,” Renew Energ, Vol. 116, pp. 219–31, Feb. 2018.
   Web of Science ®Google Scholar
• D. Melaine, L. Roman Le Goff, M. Bernard, A. Hamid Ben, and S. Stephane, “Design and optimization of magnetic gears with arrangement and mechanical constraints for wind turbine applications,” Eleventh International Conference on Ecological Vehicles and Renewable Energies (EVER), Monte Carlo, Monaco, 2016, pp. 1–8.
   Google Scholar
• H. Polinder, F. F. A. Van der Pijl, G. J. de Vilder, and P. J. Tavner, “Comparison of direct-drive and geared generator concepts for wind turbines,” IEEE Trans. Energy Convers., Vol. 21, no. 3, pp. 725–33, Sep. 2006.
   Web of Science ®Google Scholar
• P. O. Rasmussen, T. O. Andersen, F. T. Jorgensen, and O. Nielsen, “Development of a high performance magnetic gear,” IEEE Trans. Ind. Appl., Vol. 41, no. 3, pp. 764–70, 2005.
   Web of Science ®Google Scholar
• E. P. Furlani, “A two-dimensional analysis for the coupling of magnetic gears,” IEEE Trans. Magn., Vol. 33, no. 3, pp. 2317–21, May. 1997.
   Web of Science ®Google Scholar
• J. Linni, and K. T. Chau, “A coaxial magnetic gear with Halbach permanent-magnet arrays,” IEEE Trans. Energy Convers., Vol. 25, no. 2, pp. 319–28, Jun. 2010.
   Web of Science ®Google Scholar
• L. Jian, G. Xu, Y. Gong, J. Song, J. Liang, and M. Chang, “Electromagnetic design and analysis of a novel magnetic-gear-integrated wind power generator using time-stepping finite element method,” Progr In Electrom. Res, Vol. 113, pp. 351–67, Feb. 2011.
   Web of Science ®Google Scholar
• A. Abdel-Khalik, A. Massoud, A. Elserougi, and Ahmed, “A coaxial magnetic gearbox with magnetic levitation capabilities,” in IEEE XXth International Conference on Electrical Machines (ICEM), Marseille, France, Nov. 2012, pp. 542–8.
   Google Scholar
• F. Mattia, and A. Piergiorgio, “Coaxial magnetic gear design and optimization,” IEEE Trans. Ind. Electron., Vol. 64, no. 12, pp. 9934–42, Dec. 2017.
   Web of Science ®Google Scholar
• T. B. Martin, “Magnetic transmission,” USSA patent 3,378,710, 1968.
   Google Scholar
• K. Li, S. Modaresahmadi, W. Williams, and J. Z. Bird, “Electromagnetic analysis of a wind turbine magnetic gearbox,” The Journal of Engineering, The 9th International Conference on Power Electronics, Machines and Drives, Liver pool, United Kingdom, Jul. 2018.
   Google Scholar
• A. Abdel-Khalik, S. Ahmed, A. Massoud, and A. Elserougi, “Magnetic gearbox with an electric power output port and fixed speed ratio for wind energy applications,” in IEEE XXth International Conference on Electrical Machines (ICEM), Marseille, France, Nov. 2012, pp. 702–8.
   Google Scholar