A generalized 3-D dynamic modelling for transverse flux homopolar linear machines based on statistical saliency-effect superposition method

Abstract

This paper will present a prototype of transverse flux homopolar linear machine system, along with a systematic and generalized 3-dimensional approach which is capable t o analyze three kinds of these linear machines, the transverse flux linear induction machine (TFLIM), the homopolar linear synchronous machine (HLSM), and the transverse flux linear reluctance machine (TFLRM), all in one compact mathematical model. Also, other than using the conventional steadystate geometric vector analysis or the concentrated magnetic circuit analysis in the modelling process, a novel methodology which combines the state-space technique with the statistical saliency-effect superposition method is proposed. With such detailed and generalized modelling approach, the capability of analyzing the saliency effects induced by the distributed windings in practical linear machine systems will be enhanced, and the representations of all the related linear machine system equations can be manipulated in compact matrix forms. From this comprehensive theoretical approach and the experimental verifications, it is convinced that a convenient and reliable mathematical basis for the associated computer-aided analysis and design studies on linear machine systems will be provided. NOMENCLATURE