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This paper attempts to present a quasi-3D finite element method technique for modeling and analyzing tubular linear permanent magnet machines (TLPM) with translator eccentricity. Normal tubular linear machines can be modeled effectively using 2D axisymmetric models, but with the introduction of the eccentricity factor into the geometry the axis symmetry is no longer valid, and hence 3D modeling techniques become the only way for studying the machine. However, sometimes 3D modeling can become time-consuming and requires a huge amount of resources especially for non-linear problems, so the interest in modeling techniques that can represent the problem at hand with less computation time and relatively accurate results is high. A quasi-3D technique was specifically developed to be able to represent the eccentricity in TLPMs. The finite element method (FEM) was used for modeling. Eccentricity analysis has been carried on two different TLPM structures using the proposed quasi-3D, and the results from the quasi-3D model were compared to those obtained using the 3D FEM model. Both the open circuit and the on-load operating conditions were studied with the magnetic saturation taken into account. The behavior and the accuracy of the proposed model varied between the two studied structures and for the different operating conditions, and with very low computation time and cost the results obtained from the quasi-3D model were satisfactory in general except for certain cases.

This contribution presents the study of eccentricity in a tubular linear (TL) flux switching (FS) permanent magnet (PM) (TLFSPM) machine using 3D finite element analysis. Regarding the 3D nature of magnetic flux under eccentricity fault, 3D finite element (FE) method is used for that purpose. The developed 3D FE models construction and exploitation are presented in details. The effect of eccentricity is studied under open-circuit and load conditions.

This contribution discusses the integration of bearing function within the tubular linear (TL) flux switching (FS) permanent magnet (PM) machines (TLFSPM machines). The mechanical integration allows reducing the machines volumes and therefore increasing the force density. The goal here is not to present a final design which has proven to be feasible and reliable, but rather to discuss the concept. It is aimed at stimulating new ideas.

This contribution presents a comparison study of the translator eccentricity effects on two different tubular linear permanent magnet (TLPM) machines. One structure is a surface mounted PM machine, and the second has its PMs embedded in the translator structure. Both structures have the same type of PM and the same PM volume. The comparison study spans all operating conditions: open-circuit and underload conditions. It has been conducted for different eccentricity values. 3D finite element method is used. The comparison study is also exploited in order to analyze the impact of magnetic saturation on the machine under eccentricity effects. The eccentricity effects on one of the two structures were shown to be remarkably higher than on the other.