A New Methodology for Magnetic Force Calculations Between Planar Spiral Coils

Abstract

Abstract-Due to the special structure of current carrying planar spiral coils, precise calculation of the forces between them is complicated and time-consuming. To overcome these problems, in this paper a new and fast method is proposed for calculation of the magnetic forces between planar spiral coils. The advantage of the proposed method is that just by having the external dimension of coils and their number of turns, the force between them at different distances and with different currents can be calculated. The results obtained by direct and proposed calculation methods show the efficiency of the latter in simplicity and calculation time. The precision of the proposed method has been confirmed by experimental tests done on constructed coils.

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].…”

Finite Element Based Analysis of Magnetic Forces between Planar Spiral Coils

“…Suppose rings 1 and 2 with radiuses a and b while carrying currents 1 I and 2 I , respectively (see Figure 3). The force between the two rings is given by (11)  is the permeability of vacuum and k is a constant parameter which is equal to:…”

“…In [9,10] the force between circular coaxial coils has been investigated. Recently, the mesh-matrix method has been employed in order to calculate the force between spiral coils [11]. In this paper, using concentric rings instead of spiral coils, an effective and simple procedure is proposed to calculate the magnetic force between these coils.…”

Inductance Comparison of the Solenoidal Coil of Modular Toroidal Coils Using the Analytical and Finite Element Method

“…Therefore, in the equations of mutual inductance between two rings, misalignments have to be taken into consideration. Many contributions have been made in the literature to the problem of mutual inductance calculation for coaxial circular coils [5][6][7][8][9][10][11]. These contributions have been based on the application of Maxwell's formula, Neumann's formula, and the Biot-Savart law.…”