Design and Simulation of Uniform Magnetic Field

Öz

This article describes the design, construction and calculation of the mathematical model of a homogeneous magnetic field, considering for this Helmholtz coil. Helmholtz coils consist of a pair of coils along one axis parallel to each other. By varying the distance, size, winding of these coils, it is enough to simulate a homogeneous magnetic field that simulates the real Earth's magnetic field in orbit. Circular and square coils, both with square cross section, are considered. Practical considerations such as wire selection, wire-wrapping efficiency, wire bending radius, choice of power supply, and inductance and time response are included. Numerical calculations of the magnetic flux density, the values of the magnetic field strength vectors in various directions are presented. The main goal of creating this simulator is to test the development of algorithms for orientation and control of the spacecraft, to improve the functioning of the components of the satellite in the Earth's orbit 

Anahtar Kelimeler

• coil system,Helmholtz coils,Magnetic field,uniform field

Kaynakça

1. Thesis Megan R. Brewer.Cubesat Attitude Determination and Helmholtz cage design.USA: Air force institute of technology, 19-20 (2012).
2. Thesis R.A. Schill, and H. Karin “Characterizing and calibrating a large Helmholtz coil at low ac magnetic field levels with peak magnitudes below the earth’s magnetic field,” Review of Scientific Instruments, 2001, vol. 72, no 6, pp. 2769–2776. [2] Po Gyu Park, et al., “AC magnetic flux density standards in the low frequency range,” in Proc. Conf. Dig. CPEM, June 2008, pp. 456–457. [3] Po Gyu Park, et al., “AC/DC magnetic flux density standard systems at KRISS,” in Proc. Conf. Dig. CPEM, June 2010, pp. 312–313.
3. Chapters J. C. Maxwell, “A Treatise on Electricity and Magnetism,” Clarendon, Oxford, 1873, vol. I, Secs. 713, 714, and 715.
4. Chapters D. Lorrain and D. R. Corson, “Electromagnetism,” Freeman, San Francisco, 1979, Chap. 8.
5. Chapters J. D. Kraus, “Electromagnetics,” 2nd ed., McGraw–Hill, New York, 1973, Chap. 4.
6. Chapters P.M. Fishbane, S. Gasiorowicz, and S.T. Thornton, “Physics for Scientists and Engineers,” 2nd ed., Prentice Hall, New York, 1996, Chap. 30.
7. Thesis Vitalia E. Baranova, Pavel F. Baranov.Cubesat The Helmholtz Coils Simulating and Improved in COMSOL Russian Federation: National Research Tomsk Polytechnic University, 1-2 (2014).