CAJ | 학술논문

对 Halbach 永磁阵列空间磁场的解析表达式进行了研究。首先，根据安培分子环流假说，用面电流对矩形永磁体的空间磁场等效，从而推导出其空间磁场的表达式。其次，通过叠加原理和坐标变换，得到了Halbach阵列磁场的计算公式。最后，通过2D和3D有限元法对解析公式进行了验证，证明了提出的解析公式能较为准确地模拟包括阵列端部在内的各处磁场分布情况，比目前广泛采用的正弦法有更高的精度。
대 Halbach 영자진렬공간자장적해석표체식진행료연구。수선，근거안배분자배류가설，용면전류대구형영자체적공간자장등효，종이추도출기공간자장적표체식。기차，통과첩가원리화좌표변환，득도료Halbach진렬자장적계산공식。최후，통과2D화3D유한원법대해석공식진행료험증，증명료제출적해석공식능교위준학지모의포괄진렬단부재내적각처자장분포정황，비목전엄범채용적정현법유경고적정도。
The magnetic field created by Halbach permanent magnets array was studied in the paper. First, according to Ampere's hypothesis of molecular current, the magnetic field created by a rectangular permanent magnet was equivalent to that excited by surface current, so the field formula for it was derived. Then, on the basis of superposition principle and coordinate transformation, the expression of Halbach magnetic field is acquired. Finally, compared with 2D and 3D FEM, the analytic formula is proved to accurately simulate the field distribution of Halbach array including the end, and be more precise than that of the Sine method.