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JEET, Vol. 13, No. 5, September 2018 
Mathematical Modeling and Control for A Single Winding Bearingless Flywheel Motor in Electric/Suspension Mode
Huang Yonghong 
Area 
B  Electric Machinery and Power Electronics 
Abstract 
With the increase of the production of energy from renewable, it becomes important to
look at techniques to store this energy. Therefore, a single winding bearingless flywheel motor
(SWBFM) specially for flywheel energy storage system is introduced. For the control system of
SWBFM, coupling between the torque and the suspension subsystems exists inevitably. It is necessary
to build a reasonable radial force mathematical model to precisely control SWBFM. However,
SWBFM has twelve independently controlled windings which leads to highorder matrix
transformation and complex differential calculation in the process of mathematical modeling based on
virtual displacement method. In this frame, a Maxwell tensor modeling method which is no need the
detailed derivation and complex theoretical computation is present. Moreover, it possesses advantages
of universality, accuracy, and directness. The fringing magnetic path is improved from straight and
circular lines to elliptical line and the rationality of elliptical line is verified by virtual displacement
theory according to electromagnetic torque characteristics. A correction function is taken to increase
the model accuracy based on finite element analysis. Simulation and experimental results show that the
control system of SWBFM with radial force mathematical model based on Maxwell tensor method is
feasible and has high precision. 
Keyword 
Bearingless,Flywheel energy storage,Modeling method,Finite element analysis.

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