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A hybrid optimization approach with a combination of linear programming and nonlinear programming algorithm for designing a compact self-shielded magnetic resonance imaging (MRI) superconducting magnet system is presented. The designed coils possess advantages of low construction costs, simple coil structure and the maximum magnetic strength within coils, current margin and electromagnetic stress easy to control. Firstly, in the stage of linear programming optimization, the feasible rectangular region can be divided into two-dimensional meshes, and a current map is calculated for meeting the magnetic field constraints over the surfaces of DSV sphere and 5 gauss stray field ellipse; Secondly, the current map has many nonzero current clusters and each cluster can be discretized into a solenoid. A nonlinear programming algorithm is employed to optimize the positions of all solenoids for minimizing the total coil volume and meeting all constraints including magnetic field which is the same as linear programming stage, and maximum magnetic strength, current margin and the gap between neighborhood inner coils. A 1.5 T compact self-shielded MRI superconducting magnet system is studied, the total coil length is only 1.32 m and the peak-peak homogeneity over 50 cm DSV is 10 ppm. The design approach is flexible and efficient for designing symmetrical and asymmetrical horizontal MRI and also open bi-planar MRI system.
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Keywords:
- self-shielded /
- MRI /
- hybrid optimization /
- numerical method
[1] Stuart Crozier, Doddrell D M 1997 Journal of Magnetic Resonance 127 233
[2] Shaw N R, Ansorge R E 2002 IEEE Transactions on Applied Superconductivity 12 733
[3] Hao Xu, Conolly S M, Scott G C 2000 IEEE Transactions on Magnetics 36 476
[4] Morgan P N, Conolly S M, Albert Macovski 1999 Magnetic Resonance in Medicine 41 1221
[5] Wu W, He Y, Ma L Z, Huang W X, Xia J W 2009 Chin. Phys. C 34 978
[6] Wang Q L, Xu G X, Dai Y M, Zhao B Z, Yan L G, Kim K M 2009 IEEE Transactions on Applied Superconductivity 19 2289
[7] Zhao H W, Stuart Crozier, Doddrell D M 2001 Magnetic Resonance in Medicine 45 331
[8] Wang Q L 2008 (Beijing: Science Press) p54-55 (in Chinese) [王秋良 2008 高磁场超导磁体科学(北京:科学出版社) 第54–55页]
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[1] Stuart Crozier, Doddrell D M 1997 Journal of Magnetic Resonance 127 233
[2] Shaw N R, Ansorge R E 2002 IEEE Transactions on Applied Superconductivity 12 733
[3] Hao Xu, Conolly S M, Scott G C 2000 IEEE Transactions on Magnetics 36 476
[4] Morgan P N, Conolly S M, Albert Macovski 1999 Magnetic Resonance in Medicine 41 1221
[5] Wu W, He Y, Ma L Z, Huang W X, Xia J W 2009 Chin. Phys. C 34 978
[6] Wang Q L, Xu G X, Dai Y M, Zhao B Z, Yan L G, Kim K M 2009 IEEE Transactions on Applied Superconductivity 19 2289
[7] Zhao H W, Stuart Crozier, Doddrell D M 2001 Magnetic Resonance in Medicine 45 331
[8] Wang Q L 2008 (Beijing: Science Press) p54-55 (in Chinese) [王秋良 2008 高磁场超导磁体科学(北京:科学出版社) 第54–55页]
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