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The paper is aimed at an investigation of the

features of a tubular-linear synchronous quasi-Halbach machine

(T-LSM) where the radially-magnetized PMs are substituted

by four equal segments with parallel magnetization. Such a

substitution is done in an attempt to improve the machine costeffectiveness

which makes it a viable candidate to equip freepiston

engine-based series hybrid propulsion systems. The study

is initiated an analytical formulation of the flux density spatial

repartition considering (i) the case of the conventional quasi-

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