摘要
从基本定理楞次定律出发,对运动载体涡流磁场的磁变模拟方法进行了严格的论证并推导得到不同情况下的磁变模拟公式。针对形式复杂的磁变模拟函数在涡流磁场数值计算和测量等研究可能带来的问题,提出采用级数分解的方法对一般磁变模拟函数进行处理。两个磁变模拟函数级数分解结果表明:合理地选择级数分解的截断项数时,级数分解结果可较好地逼近磁变模拟函数,为磁变模拟方法应用载体涡流磁场的相关研究拓宽了思路。
Based on the basic Lenz's Law, equations of the magnetic variation method is deduced strictly, and the equations in different motional states are obtained in the same way. The complexity of the deduced equations may cause problems in the processes of numerical computation and measure- ments for motional induced magnetism. Anyhow, thanks to the Fourier series decomposition and Tay- lor series decomposition, the transient magnetic field analysis can be replaced with several AC steady- state problems. Two examples of magnetic variation functions demonstrate that the equations can be decomposed by Fourier series and Taylor series expansion with a good accuracy, which can be applied to solve the eddy current magnetism furtherly.
出处
《海军工程大学学报》
CAS
北大核心
2017年第3期37-39,46,共4页
Journal of Naval University of Engineering
基金
国家自然科学基金资助项目(51377165
41476087)
关键词
涡流磁场
磁变模拟方法
泰勒级数
傅里叶级数
motional induced magnetism
magnetic variation method
Taylor series decomposition
Fourier series decomposition