Magnetic Force Between Inclined Circular Filaments Placed in Any Desired Position

作者: Slobodan Babic , Cevdet Akyel

DOI: 10.1109/TMAG.2011.2165077

关键词: Mathematical analysisFinite element methodElectromagnetic coilBiot–Savart lawPhysicsPosition (vector)Classical mechanicsInductanceMagnetic fieldElliptic integralSeries (mathematics)

摘要: This paper presents new general formulas for calculating the magnetic force between inclined circular filaments placed in any desired position. We use two approaches to calculate force, one based on Biot-Savart law and another mutual inductance these coils. All mathematical procedures are completely described define coil positions that lead relatively easy method Two obtained by simple integration of different expressions terms complete elliptic integrals first second kind give same numerical results. The presented methods understandable, numerically suitable applicable engineers physicists. validated through a series examples, which here.

参考文章(28)
Chester Snow, Formulas for computing capacitance and inductance United States. Dept. of Commerce. ,(1954)
C. Akyel, S. I. Babic, S. Kincic, P. J. Lagacé, Magnetic Force Calculation between Thin Circular Coils and Thin Filamentary Circular Coil in Air Journal of Electromagnetic Waves and Applications. ,vol. 21, pp. 1273- 1283 ,(2007) , 10.1163/156939307794731132
A. Benhama, A.C. Williamson, A.B.J. Reece, Force and torque computation from 2-D and 3-D finite element field solutions IEE Proceedings - Electric Power Applications. ,vol. 146, pp. 25- 31 ,(1999) , 10.1049/IP-EPA:19990219
R. Ravaud, G. Lemarquand, V. Lemarquand, Magnetic pressure and shape of ferrofluid seals in cylindrical structures Journal of Applied Physics. ,vol. 106, pp. 034911- ,(2009) , 10.1063/1.3187560
Slobodan I. Babic, Cevdet Akyel, Torque calculation between circular coils with inclined axes in air International Journal of Numerical Modelling-electronic Networks Devices and Fields. ,vol. 24, pp. 230- 243 ,(2011) , 10.1002/JNM.773
S. I. Babic, C. Akyel, NEW MUTUAL INDUCTANCE CALCULATION OF THE MAGNETICALLY COUPLED COILS: THIN DISK COIL-THIN WALL SOLENOID Journal of Electromagnetic Waves and Applications. ,vol. 20, pp. 1281- 1290 ,(2006) , 10.1163/156939306779276794
Romain Ravaud, Guy Lemarquand, Valerie Lemarquand, Slobodan I. Babic, Cevdet Akyel, MUTUAL INDUCTANCE AND FORCE EXERTED BETWEEN THICK COILS Progress in Electromagnetics Research-pier. ,vol. 102, pp. 367- 380 ,(2010) , 10.2528/PIER10012806
John T. Conway, Inductance Calculations for Noncoaxial Coils Using Bessel Functions IEEE Transactions on Magnetics. ,vol. 43, pp. 1023- 1034 ,(2007) , 10.1109/TMAG.2006.888565
John T. Conway, Forces Between Thin Coils With Parallel Axes Using Bessel Functions IEEE Transactions on Magnetics. ,vol. 49, pp. 5028- 5034 ,(2013) , 10.1109/TMAG.2013.2251652