Analysis of Nonlinear Characteristics and the Factors Affecting the Operation of the Active Magnetic Bearings Rotor System Considering Alford Force

Abstract

Based on a test rig supported by active magnetic bearings (AMBs), this paper focuses on the study of the nonlinear dynamic characteristics and the factors affecting the operation of a rotor system under the coupling of magnetic bearing force and Alford force. In order to solve the nonlinear dynamic response of rotor system, a dynamic equation of the rotor which introduces Alford force and the electromagnetic force of the AMBs controlled by PID is established. By changing the control parameters (kPP and kDD), operation parameters (rotational speed), and structural parameters (clearance between impeller and volute), the equation is solved by using Runge−-Kutta method. The results show that the rotor system exhibits complex nonlinear dynamic characteristics under the coupling action of Alford force and magnetic bearing force. The rotor system appears different dynamic behaviors such as single period, multi multi-period, and quasi quasi-period when changing the control parameters. Among all the control parameters, adjusting kDD is more effective to ensure system stability. The amplitude of rotor increases from 8.2 μμm to 11.9 μμm with the increase of speed from 6000 rpm to 10,000 rpm, while that decreases from 9.6 μμm to 8.2 μμm with the increase of clearance between impeller and volute from 1mm to 4 mm. Therefore, under the influence of Alford force, apart from the control parameters, the operation parameters and structural parameters of magnetic bearings also affect the operation of the rotor system supported by the AMBs.

Dynamic characteristics analysis of an aeroengine rotor system subjected to aerodynamic excitation

“…It can be clearly concluded that the growth of the inlet angle will result in an increase of the magnitude of response, and the opposite is also true. In light of the previous equation (21), this phenomenon is due to the fact that the aerodynamic force increases as the inlet angle grows.…”

“…Zhang et al [20] revealed the influence of the aerodynamic force on permanent magnet generator supported by active magnetic bearings. Later, in consideration of the aerodynamic force and magnetic bearing force, they analyzed the dynamic characteristics of the active magnetic bearingsrotor system under aerodynamic force as well [21]. Moreover, considering the air-induced force and the inter-shaft bearing contact force, Jin et al [22] developed the dual-rotor dynamic model, and revealed the effect of aerodynamic force on the vibration responses of the dual-rotor system.…”

“…Overall, the aforementioned researches indicate that aerodynamic excitation has a significant impact on dynamic behaviors of the rotor. In particular, most of the above researches have focused on the effects of seal-induced force [9,14,15] and blade-tip clearance-induced force [3,[17][18][19][20][21][22]. However, during the normal operation of aeroengines, the squeeze film damper (SFD) is widely employed to attenuate vibration of the rotor [23,24].…”