Induced Eddy Currents in Simple Conductive Geometries Mathematical formalism describes the excitation of electrical eddy currents in a time-varying magnetic field

A complete mathematical formalism is introduced to describe the excitation of electrical eddy currents due to a time-varying magnetic field. The process works by applying a quasistatic approximation to Ampere's law and then segregating the magnetic field into impressed and induced terms. The result is a nonhomogeneous vector Helmholtz equation that can be analytically solved for many practical geometries. Four demonstration cases are then solved under a constant excitation field over all space. © 2018 IEEE.