A 3‐D Spatial Electromagnetic Field Analytical Model for a Domestic Induction Heating System With the Finite Dimension of the Electromagnetic Medium

ABSTRACT The domestic induction heating system comprises a heating coil and electromagnetic media (ferromagnetic cookware and a magnetic shielding layer). Horizontal or vertical misalignments between the heating coil and cookware during operation inevitably alter the coil's equivalent self‐inductance. This variation in self‐inductance affects impedance matching and complicates power regulation. Currently, calculations of this parameter rely mainly on finite element analysis (FEA) methods. However, FEA methods require significant computational time and may encounter convergence issues due to poor mesh quality, especially when simulating thin layers with large aspect ratios, where stringent meshing requirements often lead to non‐convergence near the surface. This work develops an extended analytical model that incorporates the finite size of the magnetic shielding layer and the finite conductivity of cookware materials (aluminum, 304 stainless steel, and 430 stainless steel). The proposed model accounts for variations in coil dimensions, the relative permeability of the magnetic shielding layer, and the conductivity of cookware materials. It achieves a computational speed five times faster than FEA simulations while maintaining an error of less than 5% compared to experimental results.