Jd. Stienmier et al., ANALYSIS AND CONTROL OF A FLYWHEEL ENERGY-STORAGE SYSTEM WITH A HYBRID MAGNETIC BEARING, Journal of dynamic systems, measurement, and control, 119(4), 1997, pp. 650-656
This article presents the design, dynamic analysis, and control of a f
lywheel energy storage system. At the heart of the system is a hybrid
magnetic bearing. The bearing consists of ring and disk shaped permane
nt magnets, and a synthetic ruby sphere on a sapphire plate. The beari
ng is shown to be stable without active control. Equations of motion f
or the flywheel are derived in a sensor based coordinate system. The r
esulting equations are non-singular around the nominal operating condi
tion and are feedback linearizable without the need for a coordinate t
ransformation. A method of modeling rotor imbalance as a set of sinuso
idal disturbances of magnitudes that do not depend on rotational speed
is also presented To reject large external disturbances active contro
l is applied to the flywheel. Two nonlinear control laws are applied a
nd are shown to improve the initial condition response of the inherent
ly stable system.