Magnetic Flux Density Analysis of Helical Toroidal Coil Using Finite Element Approach

摘要

In this paper, analytical relations for magnetic flux density components of helical toroidal coils (HTC) are presented. The numerical integrations resulting from these equations are done using the extended three-point Gaussian algorithm. The obtained results using numerical simulations coincide with the results of particle-in-cell (PIC) method. The Finite Element (FE) approach is employed to present an algorithm to study the three dimensional leakage flux distribution pattern of the coil and to draw the magnetic flux density lines of the HTC. The presented algorithm, due to its simplicity in analysis and ease of implementation of the non-symmetrical and three dimensional objects, is advantageous to the commercial software such as ANSYS, MAXWELL, and FLUX. Finally, using the presented algorithm, magnetic flux density lines in several examples are drawn.