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ABSTRACT: This paper details the derivation of the Jacobian matrix and the residual vector associated with the Newton-Raphson iteration sequence in terms of the T-Ω formulation. Then, a scheme is proposed to efficiently find the optimum relaxation factor for improving global convergence. Furthermore, to address some local convergence issues, a local damping factor that damps the updating of the nonlinear material property for the evaluation of Jacobian matrix during nonlinear iteration is introduced.
IEEE Transactions on Magnetics 09/2010; · 1.42 Impact Factor