volume | PIER Journals

Abstract

In various technological and scientific applications, different types of coil systems are being used to produce uniform alternating magnetic field. The dimensions of these coil systems are considerably larger than the volume of interest. There is a necessity to reduce the dimension of the coil system without sacrificing the extent of uniformity of the magnetic field. This problem has a wide audience and still remains as a topic of contemporary research in the development of miniaturized devices especially for calorimetric measurements of nano-particles, cancer therapy, and detection of minute surface defects by eddy current probes, etc. In this paper we present how we can modify the shape of a miniature solenoid to produce uniform magnetic field. A Genetic algorithm has been implemented to get the optimum dimension of the miniature solenoid. Our distinct shape design has achieved 97% uniformity for a 60% volume of interest.

1. Sato, S., S. Sakaguichi, K. Futamata, and K. Katou, "Coil optimization for homogeneous magnetic field with small leaksage field," IEEE Transactions on Magnetics, Vol. 36, No. 4, 649-653, 2000.
doi:10.1109/20.877533

2. Merritt, R., C. Purcell, and G. Stroink, "Uniform magnetic field produced by three, four, and five square coils," Review of Scientific Instruments, Vol. 54, No. 7, 879-882, 1983.
doi:10.1063/1.1137480

3. Kirschvink, J. L., "Uniform magnetic fields and double wrapped coil systems: Improved techniques for the design of bio-electromagnetic experiments," Bioelectromagnetics, Vol. 401, No. 411, 13-5, 1992.

4. Bordelon, D. E., R. C. Goldstein, V. S. Nemkov, A. Kumar, J. K. Jackowski, T. L. DeWeese, and R. Ivkov, "Modified solenoid coil that e±ciently produces high amplitude AC magnetic fields with enhanced uniformity for biomedical applications," IEEE Transactions on Magnetics, Vol. 48, No. 1, 47-52, Jan. 2012.
doi:10.1109/TMAG.2011.2162527

5. Shaw, N. R. and R. E. Ansorge, "Genetic algorithms for MRI magnet design," IEEE Transactions on Applied Superconductivity, Vol. 12, No. 1, 733-736, Mar. 2002.
doi:10.1109/TASC.2002.1018506

6. Tadic, T. and B. G. Fallone, "Design and optimization of superconducting MRI magnet systems with magnetic materials," IEEE Transactions on Applied Superconductivity, Vol. 22, No. 2, 4400107, Apr. 2012.
doi:10.1109/TASC.2012.2183871

7. Xie, D., X. Sun, B. Bai, and S. Yang, "Multiobjective optimization based on response surface model and its application to engineering shape design," IEEE Transactions on Magnetics, Vol. 44, No. 6, 1006-1009, Jun. 2008.
doi:10.1109/TMAG.2007.915316

8. Stella, A. and F. Trevisan, "Application of the genetic algorithms to the synthesis of the uniformw induction gradient in MRI magnets," IEEE Transactions on Magnetics, Vol. 36, No. 4, 1736-1740, Jul. 2000.
doi:10.1109/20.877562

9. Xu, H., S. M. Conolly, G. C. Scott, and A. Macovski, "Homogeneous magnet design using linear programming,", Vol. 36, No. 2, 476-483, Mar. 2000.
doi:10.1109/20.825817

10. Sinha, G., R. Sundararaman, and G. Singh, "Design concepts of optimized MRI magnet," IEEE Transactions Magnetics, Vol. 44, No. 10, 2351-2360, Oct. 2008.
doi:10.1109/TMAG.2008.2001843

11. Meeker, D., "Finite element method magnetics,", Oct. 2010.
doi:www.fwmm.info/wiki/HomePage

12. Azpurua, M. A., "A semi-analytical method for the design of coil-systems for homogeneous magnetostatic field generation," Progress In Electromagnetic Research B, Vol. 37, 171-189, 2012.
doi:10.2528/PIERB11102606

13. Kasuya, T., S. Ouchi, and A. Minoh, "Computational design of solenoid geometry for homogeneous on-axis field," Jpn. J. Appl. Phys., Vol. 12, 1572, 1973.
doi:10.1143/JJAP.12.1572

14..
doi:http://en.wikipedia.org/wiki/Generalised logistic function

Mr. Nilangshu K. Das

Dr. Parthasarathi Barat

Dr. Sounak Dey

Dr. Tammana Jayakumar