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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… Click to show full abstract
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.
Keywords:
electrical eddy;
eddy currents;
field;
mathematical formalism;
excitation electrical;
magnetic field
Journal Title: IEEE Antennas and Propagation Magazine
Year Published: 2018
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Journal Title: IEEE Antennas and Propagation Magazine
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!