جاده

جاده

پژوهش در زمینه طراحی، مدل‌سازی و بهینه‌سازی عملکرد سامانه ذخیره‌سازی انرژی فلایویل با یاتاقان مغناطیسی برای بازیابی انرژی ترمز احیاکننده، پشتیبانی توان و ارتقای بهره‌وری انرژی در سامانه‌های حمل‌ونقل ریلی شهری

نوع مقاله : مقاله پژوهشی

نویسندگان
گروه مهندسی مکانیک، واحد علوم و تحقیقات، دانشگاه آزاد اسلامی، تهران، ایران
چکیده
با گسترش حمل‌ونقل ریلی شهری و ضرورت کاهش مصرف انرژی و آلاینده‌ها، بازیابی انرژی ترمز احیاکننده به یکی از راهبردهای مهم بهبود بهره‌وری انرژی تبدیل شده است. در این میان، سامانه‌های ذخیره‌سازی انرژی فلایویل با یاتاقان‌های مغناطیسی به دلیل چگالی توان بالا، شارژ و دشارژ سریع، راندمان مناسب و نیاز کم به نگهداری، گزینه‌ای امیدبخش برای کاربردهای مترویی هستند. این پژوهش چارچوبی یکپارچه برای طراحی، مدل‌سازی و بهینه‌سازی عملکرد چنین سامانه‌ای ارائه می‌دهد تا بازیابی انرژی ترمز، پشتیبانی توان کششی و ارتقای بهره‌وری انرژی در شبکه‌های ریلی شهری بهبود یابد. در این چارچوب، طراحی سازه فلایویل، انتخاب مواد روتور، مدل‌سازی یاتاقان‌های مغناطیسی، کوپلینگ الکترومکانیکی موتور–ژنراتور، مدیریت حرارتی و یکپارچه‌سازی با شبکه تغذیه کشش بررسی شده است. همچنین، اثر پارامترهای مؤثر بر پایداری دینامیکی، کنترل ارتعاشات، رفتار گذرا، مدیریت جریان توان و راهبردهای بهینه‌سازی عملکرد در شرایط مختلف بهره‌برداری تحلیل شده است. افزون بر این، چالش‌هایی مانند هزینه بالای مواد پیشرفته، پیچیدگی کنترل، محدودیت‌های حرارتی و الزامات قابلیت اطمینان ارزیابی و برای آن‌ها راهکارهایی پیشنهاد شده است. نتایج این پژوهش، مبنایی برای توسعه سامانه‌های فلایویل پربازده و کاربرد آن‌ها در افزایش بازیابی انرژی، کاهش نوسانات شبکه کشش و ارتقای بهره‌وری انرژی فراهم می‌کند.
کلیدواژه‌ها

-Azukizawa, T., Yamamoto, S., & Matsuo-Azukizawa, T., Yamamoto, S., & Matsuo, N. (2018). Feasibility study of a passive magnetic bearing using the ring shaped permanent magnets. IEEE Transactions on Magnetics, 44, 4277–4280.
-Bianchini, C., Torreggiani, A., David, D., & Bellini, A. (2025). Design of motor/generator for flywheel batteries. IEEE Transactions on Industrial Electronics, 68, 9675–9684.
-Blumenstock, K., & Brown, G. (2011). Novel integrated radial and axial magnetic bearing. In Proceedings of the 7th International Symposium on Magnetic Bearings,  International Center for Magnetic Bearings, Zurich, Switzerland. 467–471.
-Chen, B., Fan, L. Y., Zhang, J. W., Wang, D. L., & Kang, J. T. (2018). Research on joint frequency modulation control of grid-connected system of doubly-fed wind turbine based on flywheel energy storage device. Electrotech. Technology, 2018, 71–73, 76-77.
-Chen, D., & Feng, M. (2015). Influence of electromagnetic structure on eddy current loss of rotor of high speed permanent magnet motor. Micromotor, 48, 11–15.
-Chen, H. S., Li, H., Xu, Y. J., Xu, H. D., Wang, L., Zhou, X. Z., Chen, M., Hu, D. H., Yan, J. W., & Li, X. F. (2025). Research progress of energy storage technologies in China in 2023. Energy Storage Science and Technology, 13, 1359–1397.
-Chen, L., Wang, L., Lin, X. P., Chen, H. S., & Dai, J. X. (2019). Analysis on research status of thermal management of flywheel energy storage system. Sino Global Energy, 24, 84–91.
-Chen, Y. H., Jiang, D., Shuai, Y. X., Ding, J. F., Zhou, M. Q., & Liu, Z. C. (2026). Fault diagnosis and fault-tolerant method for current sensors in active magnetic bearings utilizing multi-current sensor information. IEEE Journal of Emerging and Selected Topics in Power Electronics. Epub ahead of print.
-Chen, Y. L., Du, L., Sun, Q., Bai, J., Li, H. T., & Shi, Y. Y. (2024). Self-calibration method of displacement sensor in AMB-rotor system based on magnetic bearing current control. IEEE Transactions on Industrial Electronics, 71, 5148–5156.
 -Choi, H. S., Lee, S. H., & Park, I. H. (2005). General formulation of equivalent magnetic charge method for force density distribution on interface of different materials. IEEE Transactions on Magnetics, 41, 1420–1423.
-Chong, Y. C., Staton, D., Gai, Y. H., Adam, H., & Popescu, M. (2024). Review of advanced cooling systems of modern electric machines for EMobility application. In The 2021 IEEE Workshop on Electrical Machines Design, Control and Diagnosis (WEMDCD), IEEE.149–154.
-Dellinger, S. J., Smith, A. O., & Stmat, K. J. (2005). Field and force calculations for use in passive magnetic bearing systems employing rare earth magnets. Paper No. 6. In Proceedings of the 8th International Workshop on Rare Earth-Cobalt Permanent Magnets and Their Applications­, 153–164.
-Derkouche, D., Kouzi, K., Beddi, A., Birame, M., Hamidat, M., & Abdesselam, B. (2025). Synergetic control of multiphase induction wind generator associated with flywheel energy storage system controlled by smooth sliding mode. In Proceedings of the 2025 6th International Conference on Power Electronics and their Applications (ICPEA), Ghardaia, Algeria.1–6.
-Dumont, C., Kluyskens, V., & Dehez, B. (2020). Null-flux radial electrodynamic bearing. IEEE Transactions on Magnetics, 50, 8102212.
-Espenhahn, T., & Hühne, R. (2026). Levitation characteristics of a fully superconducting magnetic bearing. IEEE Transactions on Applied Superconductivity, 36, 3601105.
-Fang, J. C., Sun, J. J., Xu, Y. L., & Wang, X. (2009). A new structure for permanent-magnet-biased axial hybrid magnetic bearings. IEEE Transactions on Magnetics, 45, 5319–5325.
-Fang, S. H., Lv, Z. T., & Chao, G. (2024). Methods of increasing the energy storage density of superconducting flywheel. IEEE Transactions on Applied Superconductivity, 31, 5700705.
-Fu, X. D., Cao, G. Z., Huang, S. D., & Wu, C. (2020). Fuzzy PID control of the planar switched reluctance motor for precision positioning. In Proceedings of the 2020 7th International Conference on Power Electronics Systems and Applications—Smart Mobility, Power Transfer & Security (PESA), Hong Kong, China. 1–4.
-Gao, C. H., Liu, C. H., Zheng, B. W., & Jing, L. L. (2024). Application research of flywheel energy storage system in wind power frequency regulation. Technology Innovation and Application, 12, 161–164.
-García, P., Guerrero, J. M., Briz, F., & Reigosa, D. (2017). Sensorless control of three-pole active magnetic bearings using saliency-tracking based methods. IEEE Transactions on Industry Applications, 46, 1476–1484.
-Gronwald, P. O., & Kern, T. A. (2025). Traction motor cooling systems: A literature review and comparative study. IEEE Transactions on Transportation Electrification, 7, 2892–2913.
-He, Q., Wang, J. W., Li, K. S., Wang, X. S., Xu, Z. H., & Zhang, Y. B. (2025). Thermal analysis and thermal management of high power density electric motors for aircraft electrification. Applied Thermal Engineering, 260, 125006.
-Hoai, H. K., Chen, S., & Than, H. (2024). Realization of the sensorless permanent magnet synchronous motor drive control system with an intelligent controller. Electronics, 9, 365.
-Hu, D. X., Dai, X. J., Niu, Z. H., Xu, Y., & Chen, H. S. (2024). Unbalance response analysis on the high speed flywheel motor supported by active magnetic bearings. In Proceedings of the 2020 IEEE 4th Conference on Energy Internet and Energy System Integration (EI2), Wuhan, China, 3745–3748.
-Hu, J. C., Wu, H. C., Fang, K. P., & Li, Q. (2023). Overview on structure of permanent magnetic bearings. Bearing, 7, 1–7.
-Hu, Y. S., Chen, B., & Gong, G. (2023). Structural analysis of the eddy current displacement sensor for magnetic levitation centrifugal compressors. In Proceedings of the 2023 26th International Conference on Electrical Machines and Systems (ICEMS), Zhuhai, China. 3012–3016.
-Hu, Y., Taha, O. W., & Yang, K. (2026). Fault detection in active magnetic bearings using digital twin technology. Applied Sciences, 14, 1384.
-Huang, Z. Y., Fang, J. C., Liu, X. Q., & Han, B. C. (2020). Loss calculation and thermal analysis of rotors supported by active magnetic bearings for high-speed permanent-magnet electrical machines. IEEE Transactions on Industrial Electronics, 63, 2027–2035.
 -Ingale, N. M., & Mankar, V. M. (2020). Design of energy storage system with flywheel and electrical drives. In Proceedings of the 2016 International Conference on Signal Processing, Communication, Power and Embedded System (SCOPES), IEEE. 2074–2077.
-Jia, Y., Wu, Z. K., Zhang, J. H., Yang, P. H., & Zhang, Z. L. (2026). Control strategy of flywheel energy storage system based on primary frequency modulation of wind power. Energies, 15, 1850.
-Jiang, K. J., Zhu, C. S., & Chen, L. L. (2020). Unbalance compensation by recursive seeking unbalance mass position in active magnetic bearing-rotor system. IEEE Transactions on Industrial Electronics, 62, 5655–5664.
-Jiao, Y. Y., Dai, X. J., Wang, Y. F., Wei, L., Zhang, H. L., & Chen, H. S. (2025). Case study on flywheel energy storage systems: LPTN-based transient thermal analysis. Journal of Energy Storage, 120, 116319.
-Jiao, Y. Y., Wang, Y. F., Dai, X. J., Wei, L., Zhang, H. L., & Chen, H. S. (2023). Overview of the motor generator rotor cooling system in a flywheel energy storage system. Energy Storage Science and Technology, 12,
3131–3144
.
-Kulkarni, D. P., Rupertus, G., & Chen, E. (2018). Experimental investigation of contact resistance for water cooled jacket for electric motors and generators. IEEE Transactions on Energy Conversion, 27, 204–210.
-Kumar, S., Lipo, T. A., & Kwon, B.-I. (2019). A 32,000 r/min axial flux permanent magnet machine for energy storage with mechanical stress analysis. IEEE Transactions on Magnetics, 52, 8205004.
-Kushwaha, A., Endla, N., & Fernandes, B. G. (2024). Motor integrated rotating permanent magnet based electrodynamic suspension device: Part II—Investigation of coupled topology. IEEE Transactions on Energy Conversion, 38, 1715–1726.
-Lee, K. H., Cha, H. R., & Kim, Y. B. (2020). Development of an interior permanent magnet motor through rotor cooling for electric vehicles. Applied Thermal Engineering, 95, 348–356.
-Li, J. Q., & Zhu, H. Q. (2026). Rotor displacement self-sensing technology of six-pole radial active magnetic bearing based on KalmanNet. IEEE Journal of Emerging and Selected Topics in Power Electronics, 14,
738–747
.
-Li, J., Xia, Y. Q., Qi, X. H., & Gao, Z. Q. (2017). On the necessity, scheme, and basis of the linear–nonlinear switching in active disturbance rejection control. IEEE Transactions on Industrial Electronics, 64, 1425–1435.
-Li, T., Sun, X., Lei, G., Guo, Y., Yang, Z., & Zhu, J. (2022). Finite control set model predictive control of permanent magnet synchronous motor drive systems—An overview. IEEE/CAA Journal of Automatica Sinica, 9, 2087–2105.
-Li, T., Sun, X., Yao, M., Guo, D., & Sun, Y. P. (2024). Improved finite control set model predictive current control for permanent magnet synchronous motor with sliding mode observer. IEEE Transactions on Transportation Electrification, 10, 699–710.
-Li, W. X., Yang, T. H., & Xin, Y. (2024). Principle, modeling and experiment of a new axial-type superconducting magnetic bearing with superconducting coil. IEEE Transactions on Applied Superconductivity, 34, 3601705.
-Li, X. J., Anvari, B., Palazzolo, A., Wang, Z. Y., & Toliyat, H. (2021). A utility-scale flywheel energy storage system with a shaftless, hubless, high-strength steel rotor. IEEE Transactions on Industrial Electronics, 65, 6667–6675.
-Li, Y., Fan, T., Sun, W., Li, Q., & Wen, X. H. (2017). Experimental research on the oil cooling of the end winding of the motor. In The 2016 IEEE Energy Conversion Congress and Exposition (ECCE), IEEE. 1–4.
-Lim, J., Lee, C. Y., Oh, Y. J., & Choi, S. Y. (2024). Performance evaluation of superconducting electrodynamic suspension for hyperloop using static experiments. IEEE Transactions on Applied Superconductivity, 34, 3601906.
-Liu, K., Yin, M., Hua, W., Ma, Z. Q., Lin, M. Y., & Kong, Y. (2024). Design and optimization of an external rotor ironless BLDCM used in a flywheel energy storage system. IEEE Transactions on Magnetics, 54, 8109105.
-Ma, X. Y., & Li, W. Y. (2024). Comparison and finite-element analysis of energy-storage characteristics of flywheel rotors with different materials. Journal of Machine Design, 41,21–27.
-Ma, Z. H., & Zhu, H. Q. (2026). Decoupling control of six-pole radial active magnetic bearings based on BP neural network inverse optimized by improved mind evolutionary algorithm. IEEE Transactions on Power Electronics, 41, 1841–1852.
-Masuzawa, T., Kojima, J., Onuma, H., Okada, Y., Nishida, M., & Yamane, T. (2018). Micro magnetic bearing for an axial flow artificial heart. In Proceedings of the 9th International Symposium on Magnetic Bearings, 89–94. University of Kentucky, Lexington, KY, USA.
-Maxence, B. V., Virginie, K., & Bruno, D. (2020). Optimal sizing and comparison of permanent magnet thrust bearings. IEEE Transactions on Magnetics, 53, 8300110.
-Mizuno, T., Araki, K., & Bleuler, H. (2006). Stability analysis of self-sensing magnetic bearing controllers. IEEE Transactions on Control Systems Technology, 4, 572–579.
-Nadeem, F., Hussain, S. M. S., Tiwari, P. K., Goswami, A. K., & Ustun, T. S. (2024). Comparative review of energy storage systems, their roles, and impacts on future power systems. IEEE Access, 7, 4555–4585.
-Nazari, A., & Keypour, R. (2023). A two-stage stochastic model for energy storage planning in a microgrid incorporating bilateral contracts and demand response program. Journal of Energy Storage, 21, 281–294.
-Petkar, S. G., & Thippiripati, V. K. (2023). A novel duty-controlled DTC of a surface PMSM drive with reduced torque and flux ripples. IEEE Transactions on Industrial Electronics, 70, 3373–3383.
-Qi, Z. N., Zhang, Y., Yu, S. Y., & Fu, Z. J. (2025). Design and analysis of the multilayer sleeve structure for the rotor eddy current loss reduction of a high-speed permanent magnet motor for flywheel energy storage system. IEEE Transactions on Transportation Electrification, 11, 11398–11409.
-Satrustegui, M. (2021). Thermal and hydraulic design of water-based cooling systems for electrical machines [Master’s thesis, Universidad de Navarra, Pamplona, Spain].
-Shi, H., Chen, Q., Liao, J. H., Zhou, Y. N., Xu, G. H., & Liu, G. H. (2025). Design and optimization of dual-air duct cooling system for rotor permanent magnet flux-switching motor. IEEE Transactions on Transportation Electrification, 11, 7029–7039.
-Sun, M. X., Xu, Y. L., & Zhang, W. J. (2023). Multiphysics analysis of flywheel energy storage system based on cup winding permanent magnet synchronous machine. IEEE Transactions on Energy Conversion, 38, 2684–2694.
-Sun, X. Y., Zeng, Y. S., Han, R. Z., & Shang, R. Y. (2025). Design and performance evaluation of solid rotor induction machine for inertia flywheel energy storage system.
In Proceedings of the 2025 IEEE 8th International Electrical and Energy Conference (CIEEC), Changsha, China
. 2216–2221.
-Sun, Y. H., Ho, Y. S., & Lie, Y. (2009). Dynamic stiffnesses of active magnetic thrust bearing including eddy-current effects. IEEE Transactions on Magnetics, 45, 139–149.
-Supreeth, D. K., Siddappa, I. B., & Shivamurthy, R. C. (2025). An overview on electrodynamic bearings. IEEE Access, 10, 57437–57451.
-Tang, S. Q. (2024). Research on theory of magnetic suspension supporting system and application for flywheel battery [PhD thesis, Huazhong University of Science and Technology, Wuhan, China].
-Tang, Y., Sun, Y. L., Guo, Z. J., Shi, W. Z., Yuan, W., Heng, T., & Liang, F. (2023). Development status and perspective trend of motor cooling systems. China Mechanical Engineering, 32, 1135–1150.
-Voß, A., Storey, J. G., Porteous, L., Scheunemann, P., & Badcock, R. A. (2026). Stroboscopic imaging system for studying the dynamics of superconducting levitation bearings. IEEE Transactions on Applied Superconductivity, 36, 3601305.
-Wang, C., Zhang, Z. R., & Liu, Y. (2021). Optimization of rotor eddy-current loss and heat dissipation for high torque density hybrid excitation synchronous motor with magnetic shunting rotor. Proceedings of the CSEE, 41, 7476–7486.
-Wang, D. Y., & Zhang, G. M. (2026). Study on levitation force characteristics of superconducting magnetic levitation bearings: Experimental and simulation analysis. IEEE Transactions on Applied Superconductivity, 36, 3600908.
-Wang, H. Z., Liu, K., Wei, J. B., & Hu, H. J. (2023). Analytical modeling of air gap magnetic fields and bearing force of a novel hybrid magnetic thrust bearing. IEEE Transactions on Magnetics, 57, 4900107.
-Wang, K., Ge, Y. C., Zhou, J. X., Zheng, S. Q., Dong, B. T., & Wang, C. (2025). High-precision field dynamic balancing for high-speed AMB-rotor considering unbalanced magnetic pull. IEEE/ASME Transactions on Mechatronics, 31, 1324–1333.
-Wang, K., Wang, D., Lin, H. Y., Shen, Y., Zhang, X. B., & Yang, H. (2014). Analytical modeling of permanent magnet biased axial magnetic bearing with multiple air gaps. IEEE Transactions on Magnetics, 50, 8002004.
-Wang, W., Li, Y., Shi, M., & Song, Y. L. (2021). Optimization and control of battery-flywheel compound energy storage system during an electric vehicle braking. Energy, 226, 120404.
-Wang, X., Zhou, J., & Qin, B. (2025). Coordinated power smoothing control strategy of multi-wind turbines and energy storage systems in wind farm based on MADRL. IEEE Transactions on Sustainable Energy, 15,
368–380
.
-Wei, L., & Zhu, C. S. (2026). Air-friction loss characteristics and thermal analysis of MW-class permanent magnet synchronous motor with active magnetic bearings. IEEE Transactions on Transportation Electrification. Epub ahead of print.
-Wu, M. Y., Zhu, H. Q., Zhang, H., & Zhang, W. Y. (2026). Modeling and multilevel design optimization of an AC–DC three-degree-of-freedom hybrid magnetic bearing. IEEE Transactions on Industrial Electronics, 70,
233–242
.
-Xiao, L., Yao, Y. X., Li, Y. C., Chen, W. J., Sun, Y. H., & Yang, B. S. (2026). Cascaded displacement–flux density control of the thrust magnetic bearings based on an effective inductance-based eddy current compensation model. IEEE Journal of Emerging and Selected Topics in Power Electronics. Epub ahead of print.
-Xie, Y. Y., Chen, L. K., Wang, X. D., Zhang, J. L., Leonardi, F., Sung, B. M., Munoz, A. R., & Degner, M. W. (2025). In-slot direct cooling design and optimization for electric machines. In The 2021 IEEE International Electric Machines & Drives Conference (IEMDC), IEEE. 1–8.
-Xu, D. H. (2016). Design of motor and shaft system for flywheel energy storage system [Master’s thesis, Zhejiang University, Hangzhou, China].
-Xu, F., Dai, X. J., Wang, Y. L., Hu, D. X., Zhang, H. L., & Chen, H. S. (2024). Research progress on permanent magnet machines for flywheel energy storage. Energy Storage Science and Technology, 13, 3423–3441.
-Xu, S. L., & Fang, J. C. (2019). A novel conical active magnetic bearing with claw structure. IEEE Transactions on Magnetics, 50, 8101108.
-Xu, S. L., Sun, J. J., & Ren, H. L. (2025). An active magnetic bearing with controllable permanent-magnet bias field. IEEE/ASME Transactions on Mechatronics, 27, 3474–3481.
-Xu, Z. Y., Xu, Y. M., Gai, Y. H., & Liu, W. H. (2023). Thermal management of drive motor for transportation: Analysis methods, key factors in thermal analysis, and cooling methods—A review. IEEE Transactions on Transportation Electrification, 9, 4751–4774.
-Yang, J. T., Liu, P., Ye, C. Y., Wang, L., & Zhang, X. F. (2025). Multidisciplinary design of high-speed solid rotor homopolar inductor machine for flywheel energy storage system. IEEE Transactions on Transportation Electrification, 7, 485–496.
-Yang, S. M., & Tao, W. Q. (2006). Heat Transfer (4th ed.). Higher Education Press.
-Yao, J. Y., Wang, H. J., Zhang, Y., Zhang, H., & Zhang, F. G. (2025). Magnetic properties analysis of novel composite magnetic materials for HSPMSMs. IEEE Transactions on Magnetics, 58, 8104310.
-Yonnet, J. P. (1981). Analytical calculation of magnetic bearings. In Proceedings of the 5th International Workshop on Rare Earth-Cobalt Permanent Magnets and Their Applications, Paper No. 3.199–216.
-Yonnet, J. P. (1981). Permanent magnet bearing and couplings. IEEE Transactions on Magnetics, 17, 1169–1173.
-Yonnet, J. P. (2010). Passive magnetic bearings with permanent magnets. IEEE Transactions on Magnetics, 14, 803–805.
-Yoo, S. Y., Kim, W. Y., Kim, S. J., Lee, W. R., Bae, Y. C., & Noh, M. (2016). Optimal design of non-contact thrust bearing using permanent magnet rings. International Journal of Precision Engineering and Manufacturing, 12,
1009–1014
.
-Yu, M. H., Zhang, Y. Q., Qiao, Z. Z., Zhang, B., & Zheng, J. H. (2015). Research on loss separation method of permanent magnet synchronous motor. Small Special Electrical Machines, 43, 14–18.
-Zerdali, E., Rivera, M., & Wheeler, P. (2024). A review on weighting factor design of finite control set model predictive control strategies for AC electric drives. IEEE Transactions on Power Electronics, 39, 9967–9981.
-Zhang, D. J., Xiong, W. L., Lv, L., & Deng, Z. H. (2017). An analysis of rotor eddy current losses in high-speed and high-power PMSM. Computer Simulation, 34, 236–240, 279.
-Zhang, W. Y., & Guo, F. (2025). Research on sensorless technology of a magnetic suspension flywheel battery based on a genetic BP neural network. Actuators, 14, 174.
-Zhang, W. Y., & Xu, A. J. (2025). Accurate suspension force modeling and its control system design based on the consideration of degree-of-freedom interaction. Actuators, 14, 61.
-Zhang, W. Y., & Zhou, W. J. (2025). Prediction model of flywheel motor and eccentric characteristics analysis of vehicle emergency braking conditions. IEEE Transactions on Transportation Electrification, 11, 9072–9083.
-Zhang, W. Y., & Zhu, H. Q. (2012). Modeling of radial suspension force in AC magnetic bearings based on Maxwell tensor method. Chinese Science Bulletin, 57, 976–986.
-Zhang, W. Y., & Zhu, H. Q. (2012). The influence of eddy current effect on parameter design of magnetic levitation bearings and optimization design. Journal of Electrical Machines and Control, 16, 67–77.
-Zhang, W. Y., & Zhu, H. Q. (2013). Improved model and experiment for AC-DC three-degree-of-freedom hybrid magnetic bearing. IEEE Transactions on Magnetics, 49, 5554–5565.
-Zhang, W. Y., & Zhu, H. Q. (2015). Control system design for a five-degree-of-freedom electrospindle supported with AC hybrid magnetic bearings. IEEE/ASME Transactions on Mechatronics, 20, 2525–2537.
-Zhang, W. Y., & Zhu, H. Q. (2017). Radial magnetic bearings: An overview. Results in Physics, 7, 3756–3766.
-Zhang, W. Y., Neng, H. R., Zheng, S. Q., & Zhu, H. Q. (2026). Fault detection for displacement sensors in vehicle-mounted flywheel battery based on dynamic
self-adjusting LMS optimized by deep learning. IEEE Transactions on Transportation Electrification. Epub ahead of print
.
-Zhang, W. Y., Wang, J. P., Zhu, P. F., & Yu, J. X. (2024). A novel vehicle-mounted magnetic suspension flywheel battery with a virtual inertia spindle. IEEE Transactions on Industrial Electronics, 69, 5973–5983.
-Zhang, W. Y., Wang, J. W., Li, A., & Xiang, Q. W. (2024). Multiphysics fields analysis and optimization design of a novel saucer-shaped magnetic suspension flywheel battery. IEEE Transactions on Transportation Electrification, 10, 5473–5483.
-Zhang, W. Y., Yang, H. K., Cheng, L., & Zhu, H. Q. (2020). Modeling based on exact segmentation of magnetic field for a centripetal force type magnetic bearing. IEEE Transactions on Industrial Electronics, 67, 7691–7701.
-Zhang, W. Y., Zhang, L. D., & Yu, Y. J. (2024). Review on key technologies for stable operation of magnetic levitation support-flywheel system. Journal of Southwest Jiaotong University, 57, 627–639.
-Zhang, W. Y., Zhang, X. X., Yu, J. X., & Wang, Z. (2023). Accurate modeling of a flywheel motor considering vehicle start-up driving conditions. IEEE Transactions on Industrial Electronics, 70, 6057–6067.
 -Zhang, W. Y., Zhu, H. Q., Yang, Z. B., Sun, X. D., & Yuan, Y. (2016). Nonlinear model analysis and “switching model” of AC–DC three degree-of-freedom hybrid magnetic bearing. IEEE/ASME Transactions on Mechatronics, 21, 1102–1115.
-Zhang, X., & Yang, J. (2017). A robust flywheel energy storage system discharge strategy for wide speed range operation. IEEE Transactions on Industrial Electronics, 64, 7862–7873.
-Zheng, J. Y., Lyu, Q. C., Lyu, D. Y., & Li, X. M. (2024). Stability test analysis and design of high-load magnetic bearing assembly for the rotor of flywheel energy storage system. In Proceedings of the 2022 7th International Conference on Power and Renewable Energy (ICPRE), hanghai, China. 577–582.
-Zheng, X. C. (2024). Research on high-reliability operation control strategy of flywheel energy storage motor [Master’s thesis, Inner Mongolia University of Science and Technology, Baotou, China].