Design of Biplanar Excitation Magnetic Field Coils With Small-Size and Large Uniform Area in Near-Zero Magnetic Cell Incubator
Xiuqi Zhao, Lu Zhang, Xu Zhang, Shuai Dou, Jianzhi Yang, Shiqiang Zheng
Abstract
Low-frequency excitation magnetic field coils are potent tools for studying the effects of magnetic fields on cells. However, the existing excitation magnetic field coils are vulnerable to external magnetic fields and difficult to generate a high uniform excitation magnetic field with a small size. Thus, this study proposes a novel optimization design method combining the target field method (TFM), thickness mirror image method, and fruit fly optimization algorithm (FOA) to design a new type of bi-planar excitation magnetic field coil placed in a near-zero magnetic cell incubator. Based on the optimization design method, three bi-planar coils of <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">B<sub>x</sub></i> , <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">B<sub>y</sub></i> and <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">B<sub>z</sub></i> with the paralleled arrangement in a near-zero magnetic cell incubator with the size of 365 mm × 336 mm × 200 mm were designed and measured. The coil constants of <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">B<sub>x</sub></i> ( <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">B<sub>y</sub></i> ) and <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">B<sub>z</sub></i> are 8860 nT/A and 100640 nT/A, respectively. The non-uniformity of the <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">B<sub>x</sub></i> ( <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">B<sub>y</sub></i> ) and <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">B<sub>z</sub></i> coils are less than 5% and 1% over the central volume of 80 × 80 × 80 mm <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3</sup> , 100 × 100 × 100 mm <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3</sup> , respectively, meeting the most requirement of working space and the amplitude of magnetic field for cell research.