محاسبه‌ تحلیلی اندوکتانس خودی و متقابل سیم‌پیچ‌های قطبی تخت مستطیل شکل با جابه‌جایی در راستای قائم

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی کارشناسی ارشد، دانشگاه صنعتی نوشیروانی بابل، بابل، ایران

2 استادیار، دانشگاه صنعتی نوشیروانی بابل، بابل، ایران

3 استادیار، دانشکده برق و کامپیوتر، دانشگاه علم و فناوری مازندران، بهشهر، ایران

چکیده

اندوکتانس خودی و اندوکتانس تزویج پارامترهای کلیدی سیستم انتقال توان بی‌سیم هستند و برای بهینه‌سازی یک سیستم‌ یا برآورد پارامترهای عملکردی آن نظیر توان دریافتی، بازده، و بهره، طراح باید آن‌ها را به‌درستی محاسبه کند. محاسبه تحلیلی اندوکتانس خودی و تزویج نسبت به روش شبیه‌سازی اجزای محدود، سرعت فرآیند طراحی را افزایش داده و هزینه‌ها را کاهش می‌دهد. پدهای قطبی‌شده DD به دلیل سادگی ساختار، راندمان بالا و حساسیت کم در شرایط ناهمترازی (وقوع فراوان در انتقال توان بی‌سیم) در این مقاله انتخاب شده‌اند. پدهای DD در کاربرد شارژ خودرو الکتریکی (به روش پویا و ایستا) بسیار محبوب هستند. در این مقاله محاسبات تحلیلی اندوکتانس خودی و اندوکتانس تزویج با استفاده از قانون بیوساوار برای پدهای DD ارائه‌شده است. در مواردی استفاده از هسته‌های فریت جهت بهبود اندوکتانس خودی و ضریب کوپل این پدها ضروری است. پس تأثیر هسته‌های فریت و بهینه‌سازی ازنظر تعداد، طول و فاصله بین هسته‌ها در شبیه‌سازی اجزای محدود بررسی شده است. نتایج محاسبات تحلیلی اندوکتانس تزویج در فواصل مختلف بین پدها بررسی شده‌ و نتایج محاسبات با نمونه آزمایشگاهی و شبیه‌سازی اجزای محدود مقایسه شده است. مقادیر محاسبه شده به روش عملی و شبیه‌سازی با دقت خوبی مدل تحلیلی را تائید می‌نمایند.

کلیدواژه‌ها


Smiley face

[1]   N. Tesla, “Apparatus for transmitting electrical energy,” ed: Google Patents, 1914.
[2]   F. Tabibi, S. M. Mirimani, and J. Adabi Firuzjayi, “Design of a new structure for transmitter and receiver coils in a wireless power transmission system with low sensitivity to misalignment,” Journal of Applied Electromamnetic, vol. 7, pp. 17-24, 2020, (In Persian).
[3]   S. Li and C. C. Mi, “Wireless power transfer for electric vehicle applications,” IEEE journal of emerging and selected topics in power electronics, vol. 3, pp. 4-17, 2014.
[4]   P. Li and R. Bashirullah, “A wireless power interface for rechargeable battery operated medical implants,” IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 54, pp. 912-916, 2007.
[5]   B. H. Waters, A. P. Sample, P. Bonde, and J. R. Smith, “Powering a ventricular assist device (VAD) with the free-range resonant electrical energy delivery (FREE-D) system,” Proceedings of the IEEE, vol. 100, pp. 138-149, 2011.
[6]   T. Deyle and M. Reynolds, “Surface based wireless power transmission and bidirectional communication for autonomous robot swarms,” in 2008 IEEE International Conference on Robotics and Automation,  pp. 1036-1041, 2008.
[7]   G. Scheible, J. Schutz, and C. Apneseth, “Novel wireless power supply system for wireless communication devices in industrial automation systems,” in IEEE 2002 28th Annual Conference of the Industrial Electronics Society. IECON 02, pp. 1358-1363, 2002.
[8]   H. Hoang, S. Lee, Y. Kim, Y. Choi, and F. Bien,
“An adaptive technique to improve wireless
 power transfer for consumer electronics,” IEEE Transactions on Consumer Electronics, vol. 58, pp. 327-332, 2012.
[9]   R. C. Kuo, P. Riehl, A. Satyamoorthy, W. Plumb,
P. Tustin, and  J. Lin, “A 3D resonant wireless charger for a wearable device and a mobile phone,”
 in 2015 IEEE Wireless Power Transfer Conference (WPTC), pp. 1-3, 2015.
[10] T. Fujita, T. Yasuda, and H. Akagi, “A dynamic wireless power transfer system applicable to a station
system,” IEEE Transactions on Industry Applications, vol. 53, pp. 3748-3757, 2017.
[11] A. Ramezani, S. Farhangi, H. Iman-Eini, B. Farhangi, R. Rahimi, and G. R. Moradi,“Optimized LCC-series compensated resonant network for stationary wireless EV chargers,” vol. 6,  pp. 2756-2765, 2018.
[12] A. Ahmad, M. S. Alam, and A. A. Mohamed,
“Design and Interoperability Analysis of Quadruple Pad Structure for Electric Vehicle Wireless Charging Application,” IEEE Transactions on Transportation Electrification, 2019.
[13] M. Budhia,  J. T. Boys, G. A. Covic, and  C. Y. Huang, “Development of a single-sided flux magnetic coupler for electric vehicle IPT charging systems,” IEEE Transactions on Industrial Electronics, vol. 60, pp. 318-328, 2011.
[14] A. A. Mohamed, A. Marim, and O. Mohammed, “Magnetic design considerations of bidirectional inductive wireless power transfer system for EV applications,” IEEE Transactions on Magnetics, vol. 53, pp. 1-5, 2017.
[15] J. Acero, C. Carretero, I. Lope, R. Alonso, Ó. Lucia, and J. M. Burdio, “Analysis of the mutual inductance of planar-lumped inductive power transfer systems,” IEEE Transactions on Industrial Electronics, vol. 60, pp. 410-420, 2011.
[16] J. T. Conway, “Inductance calculations for circular coils of rectangular cross section and parallel axes using Bessel and Struve functions,” IEEE Transactions on Magnetics, vol. 46, pp. 75-81, 2009.
[17] S. I. Babic and C. Akyel, “Calculating mutual inductance between circular coils with inclined axes in air,” IEEE Transactions on Magnetics, vol. 44,
 pp. 1743-1750, 2008.
[18] S. Babic and C. Akyel, “New formulas for mutual inductance and axial magnetic force between magnetically coupled coils: thick circular coil of the rectangular cross-section-thin disk coil (pancake),” IEEE Transactions on Magnetics, vol. 49, pp. 860-868, 2012.
[19] M. Soma, D. C. Galbraith, and R. L. White, “Radio frequency coils in implantable devices: Misalignment analysis and design procedure,” IEEE transactions on biomedical engineering, pp. 276-282, 1987.
[20] S. R. Khan, S. K. Pavuluri, and M. P. Desmulliez, “Accurate modeling of coil inductance for near-field wireless power transfer,” IEEE Transactions on Microwave Theory and Techniques, vol. 66, pp. 4158-4169, 2018.
 
[21] Z. H. Shi, X. Y. Chen, and Z. C. Qiu, “Modeling of mutual inductance between superconducting pancake coils used in wireless power transfer (WPT) systems,” IEEE Transactions on Applied Superconductivity, vol. 29, pp. 1-4, 2019.
[22] C. Akyel, S. Babic, and S. Kincic, “New and fast procedures for calculating the mutual inductance of coaxial circular coils (circular coil-disk coil),” IEEE Transactions on Magnetics, vol. 38, pp. 2367-2369, 2002.
[23] J. T. Conway, “Analytical solutions for the self-and mutual inductances of concentric coplanar disk coils,” IEEE transactions on magnetics, vol. 49, pp. 1135 1142, 2012.
[24] Y. Su, X. Liu, and S. R. Hui, “Mutual inductance calculation of movable planar coils on parallel surfaces,” IEEE Transactions on Power Electronics, vol. 24, pp. 1115-1123, 2009.
[25] W. G. Hurley, M. C. Duffy, J. Zhang, I. Lope,
B. Kunz, and W. H. Wölfle, “A unified approach to the calculation of self-and mutual-inductance for coaxial coils in air,” IEEE Transactions on Power Electronics, vol. 30, pp. 6155-6162, 2015.
[26] E. R. Joy ,A. Dalal, and P. Kumar, “Accurate computation of mutual inductance of two air core square coils with lateral and angular misalignments in a flat planar surface,” IEEE transactions on magnetics, vol. 50, pp. 1-9, 2013.
[27] Y. Cheng and Y. Shu, “A new analytical calculation of the mutual inductance of the coaxial spiral rectangular coils,” IEEE Transactions on Magnetics, vol. 50, pp. 1-6, 2013.
[28] S. Raju, R. Wu, M. Chan, and C. P. Yue, “Modeling of mutual coupling between planar inductors in wireless power applications,” IEEE Transactions on Power Electronics, vol. 29, pp. 481-490, 2013.
[29] Z. Luo and X. Wei, “Analysis of square and circular planar spiral coils in wireless power transfer system for electric vehicles,” IEEE Transactions on Industrial Electronics, vol. 65, pp. 331-341, 2017.
[30] A. Balakrishnan, W. Palmer, W. Joines, and
T. Wilson, “The inductance of planar structures,”
 in Proceedings Eighth Annual Applied Power Electronics Conference and Exposition,  pp. 912-921. 1993.
[31] B. K. Kushwaha, G. Rituraj, and P. Kumar,
“3-D analytical model for computation of mutual inductance for different misalignments with shielding in wireless power transfer system,” I‌EEE transactions on transportation electrification, vol. 3, pp. 332-342.
 
 [32]        C. Peters and Y. Manoli, “Inductance calculation of planar multi-layer and multi-wire coils: An analytical approach,” Sensors and Actuators A: Physical,
vol. 145, pp. 394-404, 2008.
[33] H. K. Dashora, G. Buja, M. Bertoluzzo, R. Pinto, and V. Lopresto,   “Analysis and design of DD coupler for dynamic wireless charging of electric vehicles,” Journal of Electromagnetic Waves and Applications, vol. 32, pp. 170-189, 2018.
[34] H. Greenhouse, “Design of planar rectangular microelectronic inductors,” IEEE Transactions on parts, hybrids, and packaging, vol. 10, pp. 101-109, 1974.
[35] W. Dehui, S. Qisheng, W. Xiaohong, and Y. Fan, “Analytical model of mutual coupling between rectangular spiral coils with lateral misalignment for wireless power applications,” IET Power Electronics, vol. 11, pp. 781-786, 2018.
[36] S. Burke, R. Ditchburn, and T. Theodoulidis, “Impedance of curved rectangular spiral coils around a conductive cylinder,” Journal of Applied Physics, vol. 104, p. 014912, 2008.
[37] C. Peters and Y. Manoli, “Advanced telemetric powering of sensors using multi-wire coils,” in SENSORS, 2006 IEEE, 2006, pp. 769-772.
[38] F. W. Grover, Inductance calculations: working formulas and tables: Courier Corporation, 2004.
[39] H. Tavakkoli, E. Abbaspour-Sani, A. Khalilzadegan, G. Rezazadeh, and A. Khoei, “Analytical study of mutual inductance of hexagonal and octagonal spiral planer coils,”  Sensors and Actuators A: Physical, vol. 247, pp. 53-64, 2016.
[40] C. R. Paul, Inductance: loop and partial: John Wiley and Sons2011.
[41] J. Schneider, “Wireless power transfer for light-duty plug-in/electric vehicles and alignment methodology,” SAE International J2954 Taskforce, 2016.
دوره 10، شماره 1 - شماره پیاپی 24
شماره پیاپی 24، دوفصلنامه بهار و تابستان
فروردین 1401
صفحه 1-13
  • تاریخ دریافت: 20 اردیبهشت 1399
  • تاریخ بازنگری: 02 مرداد 1399
  • تاریخ پذیرش: 02 بهمن 1400