Analysis and Visualization of Magnetic Field for Multi-dimensional Helmholtz Coils Based on PEEC

In this paper, Partial Element Equivalent Circuit method (PEEC) is used to model multi-dimensional Helmholtz coils. Spatial magnetic flux density of multi-dimensional Helmholtz coils are calculated; the visualization of the uniform intensity region is realized. The envelope diagrams of the uniform magnetic field with the normalized magnetic flux density difference less than 1% and 2% are drawn, and the magnetic field distribution of Helmholtz coils of different dimensions are compared and analyzed. The effect of different placement positions of the receiving coil on the magnetic flux density of the Helmholtz coil are studied. The results of PEEC calculation are compared with those obtained by ANSYS simulation tool and analytical calculation, which proves the feasibility of PEEC to calculate the magnetic flux density for induction coils.