Open AccessAccurate mathematical model of bearingless flywheel motor based on Maxwell tensor method
Author(s) -
Yuan Ye,
Sun Yukun,
Huang Yonghong
Publication year - 2016
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/el.2015.4313
Subject(s) - finite element method , maxwell stress tensor , computation , flywheel , tensor (intrinsic definition) , maxwell's equations , universality (dynamical systems) , tensor calculus , mathematical model , tensor contraction , computer science , mathematics , mathematical analysis , control theory (sociology) , physics , cauchy stress tensor , tensor field , engineering , algorithm , mechanical engineering , exact solutions in general relativity , geometry , artificial intelligence , statistics , control (management) , quantum mechanics , thermodynamics
It is particularly important to build a correct mathematical model to precisely control single winding bearingless flywheel motor. Thus, a new modelling method based on the Maxwell tensor method is present. Different from the virtual displacement theory, there is no need of the detailed derivation and complex theoretical computation and possesses advantages of universality, accuracy, and directness. Before the mathematical model is established, the fringing magnetic path is improved from straight and circular lines to elliptical line. A correction function is taken to obtain an accurate mathematical model based on finite element analysis (FEA). The FEA results show that the model based on the Maxwell tensor method is feasible and has high precision.