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Additional info for Advanced Computer Techniques in Applied Electromagnetics (Studies in Applied Electromagnetics)
In the eddy current body the magnetic field is rotational, and, therefore, must be described by a vector variable, which is the imaginary surface current density J at the J. Albert et al. / Eddy Currents and Lorentz Forces in Pulsed Magnetic Forming 19 surface of the eddy current region. The magnetic field inside the eddy current region can be obtained by ⎛ 1 H sec, EB (re ) = curl ⎜ ⎜ 4π ⎝ ⎛ 1 ∫ J (r ) ⎜⎜ r s Γ ⎝ e − (1+ j) k rse se ⎞ ⎟⎟ d Γ ⎠ ⎞ ⎟ ⎟ ⎠ (9) The physical values of the eddy current density can directly be achieved by applying Maxwell’s law J phys , EB = curl( H total ) = curl( H sec, EB + H coil ) (10) The advantage of this formulation is found in the small size of the matrix, due to the four degrees of freedom.
Acceleration and excitation frequency response of sample are shown in Fig. 4. Measurement result shows that analysis result is agreed, and eigenvalue mode 8 is provoked by 1700 Hz, and it is thought that resonant is provoked. The shape by resonance are shown in Fig. 5. 50 W. Kitagawa et al. 6 Hz) Figure 5. Shape by Resonance. It is able to easily predict which frequency influences resonance and oscillation by structural analysis and natural vibration analysis and be useful for noise prediction of electric steel sheet.
Herranz Gracia and K. Hameyer / Inﬂuence of the Magnetic Anisotropy on Electrical Machines • 45 New harmonic orders and modes appear due to the magnetic anisotropy and its magnitude is increased along with the value of the magnetic anisotropy. The 12th and the 36th harmonic order with mode 2 are examples of this. These orders are expected to have a big influence on the acoustic behavior of the machine because mode 2 has mechanically the highest amplification coefficient. An interesting tendency can be observed for different orders.