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Comparison of a simple and a detailed model of magnetic hysteresis with measurements on electrical steel

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Purpose ‐ For efficient magnetic field calculations in electrical machines, the hysteresis and losses in laminated electrical steel must be modeled in a simple and reliable way. The purpose of this paper is to investigate and discuss the potential of a simple complex-permeability model. Design/methodology/approach ‐ A frequency dependent complex-permeability model as well as a more detailed model (describing hysteresis, classical eddy current effects, and excess losses separately) are compared to single-sheet measurements on laminated electrical steel. It is discussed under which circumstances the simple complex-µ model is an adequate substitute for the more detailed model. Findings ‐ A satisfactory agreement of the simple complex-µ model was found with both detailed model and measurements, improving with increasing frequencies. This is true not only for the effective permeability function, but holds also for the detailed H-B characteristics (hysteresis). Originality/value ‐ It is demonstrated that the complex-µ model is a reliable and convenient starting point for the estimation of flux distribution and losses in complicated magnetic core geometries.
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Keywords: Eddy currents; Electrical machines; Electromagnetism; Permeability; Steel

Document Type: Research Article

Publication date: May 8, 2009

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