Abstract
This paper proposes a new method how to construct the reduced order model of mechanical system with strong gyroscopic effect used for control system design of closed loop system. It is very difficult to construct a reduced order model for control system design of mechanical system with gyroscopic effect because gyroscopic matrix is anti symmetric matrix. So the reduced order model of mechanical system without gyroscopic effect in used to construct controller and the controller used in closed loop system with gyroscopic effect is desired to get good control performance. But sometimes good control performance is not able to obtain for mechanical system with strong gyroscopic effect. So, in this paper cholesky decomposition has been used to construct the reduced order model for control. In order to demonstrate the validity of this method, the controlled model and sliding mode control of a 10 MWh class energy storage flywheel system are given in this paper. This flywheel system is the outer rotor that consists of a four spokes rib, CFRP flywheel, superconducting magnetic bearing and active magnetic bearings. In order to construct the controlled model of system, the conceptual design and vibration analysis using ANSYS had been done. Then the one dimensional FEM model and reduced order FEM model with gyroscopic effect used for control are designed. To verify the stability of closed loop system, the sliding model controller with low-pass filter are designed and closed loop simulation is done. From simulation, it seems the proposed method is useful for control system design taking into account a strong gyroscopic effect.
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