Compatibility Analysis Among Vector Magnetic Circuit Theory, Electrical Circuit Theory, and Electromagnetic Field Theory

Due to the presence of the new magnetic component of magductance (or magnetic-inductace), the traditional scalar magnetic circuit theory is evolved into the vector magnetic circuit theory. Further research is still required to determine whether the vector magnetic circuit theory and the current electromagnetic theory are compatible with one another. In this paper, the reluctance and magductance parameters of the magnetic circuit are derived using electromagnetic field theory, vector magnetic circuit theory, and electrical circuit theory by taking a laminated magnetic core as an example. Additionally, based on the derived general expressions for the magnetic circuit parameters, the law of magnetic circuit parameters changing with magnetic circuit frequency is plotted and summarized, and the compatibility of electromagnetic field theory, vector magnetic circuit theory, and electrical circuit theory is analyzed. Finally, combined with the magnetoelectric power law, the derived general expressions for the magnetic circuit parameters have been verified by the experiments with the Epstein frame.