Study on Systematic Numerical Analysis of Three Dimensional Magnetic Fields

三维磁场系统数值分析研究

• 批准号: 63550215
• 负责人: MORISUE Toshiya
• 金额: $ 1.47万
• 依托单位: Nagoya University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1988
• 资助国家: 日本
• 起止时间: 1988 至 1989
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-63550215/
• 关键词: 3D magnetic field; magnetic vector potential; corner(edge) problem; gauge; multiply connected region; boundary integral equation; coupled problem; nonlinear magnetic field; 非線形磁界; 磁界ベクトル・磁気スカラポテンシャル法; 固有関数展開; 三次元渦電流; ゲージ条件; 多重連結領域問題; 角点間題

(1) The magnetic vector potential is very sensitive to the corner of a high-permeability material. This fact is demonstrated by a 2D magnetostatic field problem that has an exact solution. Then, the cause for this fact is theoretically clarified by using the theory of 2D incompressible and irrotational flow in fluid dynamics, and a method of decreasing the numerical error is developed.(2) 3D magnetostatic field calculations for gapless magnetic circuits are strongly affected by the discretization. The numerical error is considered to be generated by the imperfect cancelation of the permeability-free terms in the integral equation due to the improper size of the integration region containing a singular point. A method of reducing the numerical error is developed.(3) The usual method of imposing the gauge on the magnetic vector potential is inconvenient since it is imposed everywhere in space as a constraint. A new method is developed which imbeds the gauge term into the field equation a … More nd makes it appear only at the interfaces between different media and outermost boundary. The method satisfies the Coulomb gauge and yields a unique solution.(4) A method using the continuous magnetic vector potential and accompanying electric scalar potential is developed for 3D multiply-connected eddy current problems. This method has the advantage that it has no topological problem, while the method using the discontinuous magnetic vector potential accompanying no electric scalar potential is forced to introduce cutting to the multiply connected problem. From the computed results, this method is verified to be correct and effective.(5) A boundary integral-equation method using the magnetic vector potential is developed for the problems with unbounded free space, which satisfies the Coulomb gauge and yields unique solution.(6) Coupling between eddy currents and beam deflection is analyzed for a cantilevered beam problem, using the stream function, Biot-Savart's law and eigenfunction-expansion method. Computed results coincide well with experimental results.(7) A H-method using magnetic field intensity vector as variables is developed for a narrow air gap nonlinear magnetic circuit with a saturable iron core. It is obtained from the comparison of the computed results with the experimental results that the differential permeability should be used, instead of the normal permeability, for time-varying problems. Less

（1）磁矢量电位对高渗透性材料的角度非常敏感。这个事实是由具有精确解决方案的2D磁场问题证明的。然后，通过使用2D不可压缩和不旋转流动的理论来阐明这一事实的原因，并开发了减少数值误差的方法。（2）3D无间隙磁电路的3D磁场计算受离散化的强烈影响。数值误差被认为是由于包含单数点的集成区域的不当大小而在积分方程中不完善的无通透性项而产生的。 （3）将仪表施加磁矢量电位的通常方法是不方便的。开发了一种新的方法，该方法将量规项嵌入到场方程中A…更多地使其仅在不同媒体和最外部边界之间的接口上出现。该方法满足库仑量表并得出独特的解决方案。（4）一种使用连续磁性矢量电势和参与电量标量电势的方法是针对3D多连接的涡流问题开发的。该方法的优点是它没有拓扑问题，而使用不连续的磁性矢量潜力参与的方法没有电力标量电势被迫将切割引入倍数连接的问题。从计算的结果中，该方法被验证为正确且有效。（5）使用磁性矢量电位的边界积分方程方法是针对无限制的自由空间的问题开发的，该方法满足了Coulomb仪表并得出独特的解决方案。（6）使用层次的beam suppul cream functionf cream function，carviref and raw function，expiref and carviref and formot and cortherf and copplient和beam之间的耦合。计算的结果与实验结果相吻合。（7）使用磁场强度向量的H方法作为变量是针对具有饱和铁芯的狭窄气隙非线性磁回路的。它是从计算结果的比较与实验结果的比较，即应使用差异性渗透性，而不是正常的渗透性来解决时变问题。较少的

项目成果

Toshiya Morisue: "Analysis of a Coupled Problem:The FELIX Cantilevered Beam" IEEE Transactions on Magneeics. Vol.26. (1990)

Toshiya Morisue：“耦合问题的分析：FELIX 悬臂梁”IEEE Transactions on Magneeics。

Toshiya Morisue: "Analysis of a Coupled Problem:The FELIX Cantilevered Beam" IEEE Transactions on Magnetic. Vol.26. (1990)

Toshiya Morisue：“耦合问题的分析：FELIX 悬臂梁”IEEE 磁学汇刊。

Toshiya Morisue: "Infinitely Many Formulations using the Magnetic Vector Potential with the Coulomb Gauge for 3D Field Calculations" IEEE Transactions on Magnetics Vol.26 1990.

Toshiya Morisue：“使用磁矢量势和库仑计进行 3D 场计算的无限多种公式”IEEE Transactions on Magnetics Vol.26 1990。

Toshiya Morisue: "The Gauge and Topology Problem in using the Magnetic Vector Potential" COMPEL Vol.9 (1990).

Toshiya Morisue：“使用磁矢量势的规范和拓扑问题”COMEL Vol.9 (1990)。

Toshiya Morisue: "Solution of the "Steel Plates around a Coil" Problem by 1-D H(Magnetic Field Intensity) Method" COMPEL Vol.9 (1990).

Toshiya Morisue：“通过一维 H（磁场强度）方法解决“线圈周围的钢板”问题”COMPL Vol.9 (1990)。