Abstract-We propose an input-dependent shape function for the stop model to remove its property of equal vertical chords regardless of dc bias. We compare several identification methods for the stop model and show that the input-dependent shape function improves the ability to represent the stop model effectively. A least-squares identification method using both symmetric and asymmetric -loops achieves the most precise representation of hysteretic characteristics for a silicon steel sheet. However, if only symmetric loops are available for identification, a newly proposed identification method gives more accurate representation than other methods including the least-squares method.
The present paper first shows that the scalar stop hysteron model has the property of equal vertical chords for back-andforth input variations of the same amplitude. This property leads to an identification method of the scalar model. Secondly, identification methods are developed for the 3-D and 2-D isotropic vector models that are constructed by the superposition of scalar stop hysteron models. Numerical simulations show that these methods identify the scalar and vector models satisfactorily.
This paper proposes a new black-box-type parallel processing method for the incomplete Cholesky conjugate gradient (ICCG) solver. The new method is based on a multicolor ordering concept and an automatic reordering process in the solver. Parallel performance is evaluated in the context of three-dimensional finite edge-element eddy-current analysis. The proposed method attains high parallelism with a small increase in CG iterations and achieves high parallel performance.
Stop and play models with input-dependent shape functions are equivalent to the nonlinear Preisach model proposed by Mayergoyz. This equivalence engenders the necessary and sufficient conditions for a hysteretic nonlinearity to be represented by stop and play models that have input-dependent shape functions. A representation theorem for the stop model having an input-independent shape function is also given. The latter theorem is used to improve the representation accuracy of the stop model for a silicon steel sheet.
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