Development of a magnetic field calculation program for air-core solenoids which can control the precision of a magnetic field

Development of a magnetic field calculation program for air-core solenoids which can control the precision of a magnetic field
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空心螺线管磁场计算程序的开发,可控制磁场精度

DOI:
10.9714/psac.2014.16.4.053
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发表时间:
2014
影响因子:
0.3
通讯作者:
Sangjin Lee
Sangjin Lee
中科院分区:
--
文献类型:
--
作者:
Li Huang;Sangjin Lee

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在计算过程中,特格朗的分母可能为零,该方法仍然可以提供一个适当的结果。我们已经开发了一个计算磁场的程序,其精度至少为1 ppm,并将其命名为rzBI()来实现这种方法。将该方法应用于MRI磁体的设计中,结果表明该方法灵活方便。本文提出了一种空心螺线管磁场的数值计算方法。在应用毕奥-萨伐尔定律时,源电流产生的磁场可由二重积分公式求得。该程序采用复合辛普森积分法,并采用自适应积分法根据精度要求调整计算步长。当目标点位于螺线管内且
tegrand's denominator may be zero in the process of calculation, the method still can provide an appropriate result. We have developed a program which calculates the magnetic field with at least 1ppm precision and named it as rzBI() to implement this method. The method has been used in the design of an MRI magnet, and the result show it is very flexible and convenient. Abstract A numerical method of magnetic field calculation for the air-core solenoid is presented in this paper. In application of the Biot- Savart law, the magnetic field induced from the source current can be obtained by a double integration ormula. The numerical method named composite Simpson's rule for the integration is applied to the program and the adaptive quadrature method is used to adjust the step size in the calculation according to the precision we need. When the target point is in the solenoid and the in