Title :
Admissible sampling time to stabilize a shaft in radial active magnetic bearings
Author :
Voronkov, Victor S. ; Krivitskaya, Anna V.
Author_Institution :
Sci. Res. Inst. for Appl. Math. & Cybern., Univ. of N. Novgorod, Russia
Abstract :
Two systems of difference equations are considered. The first corresponds to differential equations of the rigid shaft dynamics in radial active magnetic bearings with centralized control optimal with respect to stability and consumption of resources. The second corresponds to same continuous system with decentralized control only. Maximally admissible sampling time under which a shaft is cited into stabilizing equilibrium is added to such quality factors of system dynamics as optimal control with respect to stability and consumption of resources. These factors of quality performances are calculated in order to compare dynamic properties of each system. This comparison is carried out constructing of transitional processes in corresponding continuous and discrete systems. The obviousness of rigid shaft dynamics in radial active magnetic bearings is achieved by visualization of calculation results by means of 3D and 2D diagrams.
Keywords :
decentralised control; differential equations; discrete systems; magnetic bearings; matrix algebra; optimal control; rotors; shafts; 2D diagram; 3D diagram; centralized control; decentralized control; differential equation; discrete system; energy consumption; optimal control; radial active magnetic bearing; rigid shaft dynamics; sampling time; shaft; stability; Centralized control; Continuous time systems; Difference equations; Differential equations; Distributed control; Magnetic levitation; Q factor; Sampling methods; Shafts; Stability;
Conference_Titel :
Physics and Control, 2005. Proceedings. 2005 International Conference
Print_ISBN :
0-7803-9235-3
DOI :
10.1109/PHYCON.2005.1514095