Magnetic Charge and Magnetic Field Distributions in Ferromagnetic Pipe
Keywords:
Magnetization, magnetostatics, magnetic charge, magnetic field, pipeAbstract
This paper proposes the equivalent magnetic charge (EMC) method, to analyze the magnetic field presented in ferromagnetic pipe. Distributions of the magnetic charge density on pipes’ surface are calculated, and the magnetic field on several measurement lines is predicted using numerical calculation with several different directions of magnetization. The correctness of the analysis results is then validated by the comparison between the results of the ANSOFT and measurement of the magnetic field inside several actual pipes. With the EMC method, it is of great interest to found that when the magnetization direction changes, the radial and axial magnetic field components inside the pipe will shift accordingly. Moreover, the variation law of magnetic field along the axial retains substantially unaltered, and the magnetic field distribution in the pipe is obviously symmetrical with a plurality of extreme points. As a result, the magnetic field distributes evenly if the pipe is long enough.
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Y. Zhou, H. R. Dong, Z. G. Zhou, and H. Xie, “The development of in-line inspection technology of oil and gas pipeline,” China Petroleum Machinery, vol. 39, no. 3, pp. 74-77, 2011.
W. Zhao, Z. M. Zeng, S. L. Chen, Y. Zhang, and S. J. Jin, “Analysis and experimental study of the characteristic of geomagnetic field inside pipeline,” Chinese Journal of Scientific Instrument, vol. 33, no. 7, pp. 1556-1560, July 2012.
S. I. Sheikh, H. A. Ragheb, K. Y. Alqurashi, and I. Babelli, “A microwave technique for detecting water deposits in an air flow pipelines,” Applied Computational Electromagnetics Society Journal, vol. 25, no. 7, pp. 647-651, July 2010.
F. Deek and M. El-Shenawee, “Microwave detection of cracks in buried pipes using the complex frequency technique,” Applied Computational Electromagnetics Society Journal, vol. 25, no. 10, pp. 894-902, Oct. 2010.
S. Nakamura, T. Nomura, and M. Iwamoto, “Three dimensional analysis of leakage field in a power transformer,” IEE Trans. Japan, vol. 96, no. 5, pp. 443-450, 1976.
M. Kobayashi and H. Iijima, “Surface magnetic charge distributions of cylindrical tubes,” IEEE Transactions on Magnetics, vol. 32, no. 1, pp. 270-273, Jan. 1996.
M. Kobayashi and Y. Ishikawa, “Surface magnetic charge distributions and demagnetizing factors of circular cylinders,” IEEE Transactions on Magnetics, vol. 28, no. 3, pp. 1810-1814, May 1992.
K. Ozaki, M. Kobayashi, and G. Rowlands, “Surface magnetic charge distribution of a long, thin cylinder and its edge singularity,” IEEE Transactions on Magnetics, vol. 34, no. 4, pp. 2185-2191, July 1998.
M. Kobayashi, Y. Ishikawa, and S. Kato, “Magnetizing characteristics of circular cylinders in perpendicularly applied magnetic field,” IEEE Transactions on Magnetics, vol. 32, no. 1, pp. 254-258, Jan. 1996.
S. Kato and M. Kobayashi, “Magnetic charge densities around edges of circular cylinders,” IEEE Transactions on Magnetics, vol. 32, no. 3, pp. 1880-1887, May 1996.
S. Sakurai, N. Soda, M. Kobayashi, and G. Rowlands, “Geometries with the demagnetizing energy independent of the direction of magnetization,” IEEE Transactions on Magnetics, vol. 43, no. 3, pp. 982-991, March 2007.
N. Soda, M. Kobayashi, and G. Rowlands, “Charge densities and inclination angles of magnetization on various surfaces of rotational symmetry,” IEEE Transactions on Magnetics, vol. 40, no. 4, pp. 1763-1768, July 2004.
J. Chen and X. W. Lu, “A method for magnetic field prediction caused by naval vessels using magnetic charge distribution,” ACTA Physica Sinica, vol. 58, no. 6, pp. 3839-3843, June 2009.
S. X. Wang and Y. X. Jia, “Equivalent magnetic monopoles model for calculation of magnetic field,” Journal of Taiyuan Heavy Machinery Institute, vol. 11, no. 3, pp.85-87, 1990.
Q. Bing, “Quick reference of commonly used steel's magnetic characteristic curve,” Beijing: China Machine Press, pp. 17-18, 2004.