Keywords :
Newton-Raphson method;ferromagnetism;finite element analysis;magnetic flux;magnetic hysteresis;magnetostatics;2D T-shaped magnetic circuit;2D finite-element computations;Newton-Raphson method;direct energy-consistent hysteresis model;dual magnetostatic finite-element formulations;energy-consistent ferromagnetic hysteresis model;intrinsic cell components;inverse energy-consistent hysteresis model;magnetic vector potential formulation;native h-based material model;rotational flux;thermodynamic foundation;vector hysteresis model;Computational modeling;Iron;Logic gates;Magnetic domains;Magnetic flux;Magnetic hysteresis;Magnetostatics;Finite element analysis;Finite-element (FE) analysis;Magnetic hysteresis; ;Newton Method;Newton method;magnetic hysteresis
Abstract :
[en] This paper deals with the implementation of an energy-consistent ferromagnetic hysteresis model in 2-D finite-element computations. This vector hysteresis model relies on a strong thermodynamic foundation and ensures the closure of minor hysteresis loops. The model accuracy can be increased by controlling the number of intrinsic cell components, while parameters can be easily fitted on common material measurements. Here, the native h-based material model is inverted using the Newton-Raphson method for its inclusion in the magnetic vector potential formulation. Simulations are performed on a 2-D T-shaped magnetic circuit exhibiting rotational flux. By way of validation, the results are compared with those obtained with the dual magnetic scalar potential formulation. A very good agreement for global quantities is observed.
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