电子学报
電子學報
전자학보
ACTA ELECTRONICA SINICA
2014年
9期
1665-1671
,共7页
姚振宁%刘大明%周国华%朱兴乐
姚振寧%劉大明%週國華%硃興樂
요진저%류대명%주국화%주흥악
铁质球体系统%镜像解析解%磁偶极子%磁荷
鐵質毬體繫統%鏡像解析解%磁偶極子%磁荷
철질구체계통%경상해석해%자우겁자%자하
ferromagnetic sphere system%analytical solution of image%magnetic dipole%magnetic charge
均匀外磁场中铁质球体系统磁场的计算一般是比较困难的,这是因为铁质球体之间的相互磁化比较难处理。从点磁荷与磁介质球系统中的镜像法出发,对磁介质球中的镜像线磁荷进行简化等效,推导出铁质球体系统中镜像磁偶极子和镜像磁荷的表达式。然后计算铁质球体之间各阶相互磁化而产生的附加磁场,进而求出铁质球体系统磁场的镜像解析解,并分析讨论了镜像解析解最大阶数的选择。仿真实验结果表明,镜像解析解的误差非常小,且适用于各种相对磁导率下铁质球体系统磁场的计算。
均勻外磁場中鐵質毬體繫統磁場的計算一般是比較睏難的,這是因為鐵質毬體之間的相互磁化比較難處理。從點磁荷與磁介質毬繫統中的鏡像法齣髮,對磁介質毬中的鏡像線磁荷進行簡化等效,推導齣鐵質毬體繫統中鏡像磁偶極子和鏡像磁荷的錶達式。然後計算鐵質毬體之間各階相互磁化而產生的附加磁場,進而求齣鐵質毬體繫統磁場的鏡像解析解,併分析討論瞭鏡像解析解最大階數的選擇。倣真實驗結果錶明,鏡像解析解的誤差非常小,且適用于各種相對磁導率下鐵質毬體繫統磁場的計算。
균균외자장중철질구체계통자장적계산일반시비교곤난적,저시인위철질구체지간적상호자화비교난처리。종점자하여자개질구계통중적경상법출발,대자개질구중적경상선자하진행간화등효,추도출철질구체계통중경상자우겁자화경상자하적표체식。연후계산철질구체지간각계상호자화이산생적부가자장,진이구출철질구체계통자장적경상해석해,병분석토론료경상해석해최대계수적선택。방진실험결과표명,경상해석해적오차비상소,차괄용우각충상대자도솔하철질구체계통자장적계산。
It is very difficult to calculate the magnetic field which a ferromagnetic sphere system produces in a uniform ex-ternal magnetic field ,as a result of the difficulty in handling the mutual magnetization between the ferromagnetic spheres .The ex-pressions of image magnetic dipole and magnetic charge were derived from image method of the system that consists of the point magnetic charge and magnetic medium sphere on condition that the image linear magnetic charges were simplified .Additional mag-netic field was calculated ,which ferromagnetic spheres produce because of the mutual magnetization .The image analytical solution was obtained according to the basic expression for magnetic field of the ferromagnetic sphere system ,and the choice of the maxi-mum order is analyzed .The verified results of the simulation experiment show that the image analytical solution has a very small er-ror ,and applies to all ferromagnetic sphere systems .