Mathematical Model of the Temperature Rise of a Wireless Power Transfer Coil in DC Operation

Inhalt:
In this paper, a mathematical model, which is used for calculating the temperature rise of a wireless power transfer coil in dependency of the DC current, is introduced. This simplified and time efficient model is implemented into a Python script allowing an estimation of the rated current of the wireless power transfer coil resulting in faster prototyping and cost savings. For the mathematical description, an equivalent electrical model was chosen for the well-known dimensions and material properties of such a coil. The derivation of the needed differential equations is described in detail. To verify the model, the calculated heating curves are compared with measurements.