Title :
Analysis of 3D nonlinear eddy current problem using the field variables H and E directly
Author :
Lin, Li ; Xiang, Cui
Author_Institution :
Dept. of Electr. Eng., North China Electr. Power Univ., Hebei, China
fDate :
3/1/1997 12:00:00 AM
Abstract :
The 3D nonlinear eddy current fields in the steel plates of TEAM Problem 21 are analyzed by using H and E directly as state variables respectively. The boundary conditions of the eddy current region are provided by means of the surface impedance method based on two magnetic scalar potentials. The calculated values of eddy current losses are compared with the measured values, and the results indicate the presented methods are valid. Furthermore, the dual-complementary phenomena between the lower and upper bounds of the eddy current losses and reactive powers are numerically shown when H-oriented formulae and E-oriented formulae are separately used. For the nonlinearity of permeability of the steel plate, an equivalent permeability μc , and the finite element technique of frequency domain are employed to solve directly the governing equations by using the Newton-Raphson algorithm
Keywords :
Newton-Raphson method; eddy current losses; eddy currents; electric fields; electric impedance; finite element analysis; magnetic fields; permeability; reactive power; steel; 3D nonlinear eddy current problem; E field variables; E-oriented formulae; H field variables; H-oriented formulae; Newton-Raphson algorithm; TEAM Problem 21; boundary conditions; dual-complementary phenomena; eddy current losses; eddy current region; finite element technique; lower bounds; magnetic scalar potentials; permeability; reactive powers; state variables; steel plates; surface impedance method; upper bounds; Boundary conditions; Current measurement; Eddy currents; Impedance measurement; Loss measurement; Magnetic analysis; Magnetic separation; Permeability; Steel; Upper bound;
Journal_Title :
Magnetics, IEEE Transactions on
