Metamodel for 2D magnet-rail relationship based on stepwise regression

Almost all existing analytical formulae describing the magnet-rail relationship for maglev trains have been derived with the assumption that magnetic media operate within the linear zone of the B-H curve and, therefore, over-predict the levitation and guidance forces when the magnetic media are in their saturation states. In such cases, finite element simulations are commonly used to obtain an accurate solution of the electromagnetic force, but this process is time-consuming. In this study, metamodels suitable for saturated magnetic media are constructed based on the methods of uniform design and stepwise regression, and their performance is assessed in terms of data fitting and prediction accuracy.