Accuracy of Electromagnetic Field Description in Induction Heating Systems

This article considers the intensity of a magnetic field as one of the key parameters of induction heating, which is frequently used in machine engineering. Following the analysis of papers by leading researchers, the authors of this article developed a mathematical model to calculate magnetic field intensity at any point within a random cylindrical inductor by using the superposition principle and the Biot-Savart-Laplace law. This mathematical model contains elliptical integrals of the first and second types and do not have an analytical solution, but can be solved by numerical methods. In this case the mathematical model was implemented with publicly available and versatile software: MS Office (Excel) using the built-in Visual Basic for Applications (VBA) programming language by using the Simpson method (method of parabolas). It can be used for subsequent induction research, improving induction plant parameter calculation procedures, and as the basis for the development of specialized software for induction heating system modeling and design.