Magnetic Force Calculation Between Misaligned Coils for a Superconducting Magnet

Magnetic Force Calculation Between Circular Coils of Rectangular Cross Section With Parallel Axes for Superconducting Magnet

“…From Table 4 we can see that all results are in an excellent agreement. In [6] the radial magnetic force has been obtained by the numerical integration of the corresponding mutual inductance. By the presented approach the radial magnetic force has been obtained analytically from the corresponding mutual inductance.…”

“…Thus, an accurate evaluation of the interaction force is required. Many contributions to the interaction force calculation with coaxial or parallel axes based on the analytical or semi-analytical, and the filament method have been performed [1][2][3][4][5][6][7][8][9][10]. The magnetic force can be obtained by using series which converge slowly.…”

Magnetic Force Between Inclined Circular Filaments Placed in Any Desired Position

“…The vast majority of this attention has been given to the purely coaxial geometries [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. More recently the focus has been shifted to calculation of the mutual inductance and magnetic force between circular coils with lateral and angular misalignments [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Using the powerful numerical methods, such as Finite Element Method (FEM) and Boundary Element Method (BEM) [27,28], it is possible to calculate accurately and rapidly this important physical quantity.…”

Analytic calculation of magnetic force between two current-carrying coils

“…Babic and Akyel [15] and Robertson et al [16] presented the analytic expression of the magnetic force between two thin coaxial coils and between a coaxial magnet and a thin coil. Furthermore, for the two coils with a limited horizontal misalign (whose axes are paralleled), Kim et al [17] and Ren [18] calculated the magnetic force between each other. In fact, the misalignment in assembly design of the system and shift from the original position due to the imbalance of magnetic force in current-carrying operation, in some extent, are unavoidable.…”