LI Qun-ming, WAN Liang, DUAN Ji-an, et al. Coupled electromechanical dynamic model of magnetically suspended table system and its stability analysis[J]. Optics and precision engineering, 2007, 15(4): 535-542.
LI Qun-ming, WAN Liang, DUAN Ji-an, et al. Coupled electromechanical dynamic model of magnetically suspended table system and its stability analysis[J]. Optics and precision engineering, 2007, 15(4): 535-542.DOI:
A coupled electromechanical dynamic model is set up completely
and the mechanical model is established based on Lagrange equation. Considering the coupled action among every electromagnetics
geometric center of sensors on different positions and the centroid of the magnetic table and based on PID control theory
electrical differential equation of the control system is set up. The coupled action of the mounting of sensors on different positions of electromagnets is analyzed. Finally
the stability analysis for the magnetic table is processed based on the coupled electromechanical dynamic model. The range of the controlling parameters is found when the magnetic table is suspending stably
vertical direction: 0.3<
K
p
<141.5
0<K
d
<0.052
horizontal direction: 0.3<
K
p
<77.4
0.001<K
d
<0.038. Experimental results indicate that the magnetic table can suspend stably and has better dynamic and static characteristics just while the controlling parameters are selected at the correct range.