建立主动磁轴承(active magnetic bearing,AMB)系统中裂纹转子的动力学模型,从理论上分析主动磁轴承转子系统中裂纹转子的动力学特性,讨论主动磁轴承的控制方法及控制参数对转子裂纹故障动力特性的影响,以及裂纹对主动磁轴承转子系统的...建立主动磁轴承(active magnetic bearing,AMB)系统中裂纹转子的动力学模型,从理论上分析主动磁轴承转子系统中裂纹转子的动力学特性,讨论主动磁轴承的控制方法及控制参数对转子裂纹故障动力特性的影响,以及裂纹对主动磁轴承转子系统的稳定性影响等问题。结果表明,主动磁轴承转子系统中转子的裂纹故障动力特性比传统的裂纹转子的动力特性更为复杂。控制器采用PID控制方式时,传统的用来诊断转子裂纹故障的特征参数在一定条件下能被继续用来检测裂纹的存在;同时,研究结果证明,控制器采用最优控制时,不能采用传统方法检测裂纹。展开更多
A Jeffcott rotor-magnetic bearing with time delays is investigated in this paper. Firstly, it is found that the characteristic equation of the system satisfies the conditions of the singularity. Secondly, the center m...A Jeffcott rotor-magnetic bearing with time delays is investigated in this paper. Firstly, it is found that the characteristic equation of the system satisfies the conditions of the singularity. Secondly, the center manifold reduction and normal form are employed to study the bifurcation from simple zero and zero-purely imaginary singularities. The results of this paper will help to understand the influence of the time delays in feedback loop on the dynamics of rotor-magnetic bearing system.展开更多
Due to actuator time delay existing in an adaptive control of the active balancing system for a fast speed-varying Jeffcott rotor, if an unsynchronized control force (correction imbalance) is applied to the system, it...Due to actuator time delay existing in an adaptive control of the active balancing system for a fast speed-varying Jeffcott rotor, if an unsynchronized control force (correction imbalance) is applied to the system, it may lead to degradation in control efficiency and instability of the control system. In order to avoid these shortcomings, a simple adaptive controller was designed for a strictly positive real rotor system with actuator time delay, then a Lyapunov-Krasovskii functional was constructed after an appropriate transform of this sys-tem model, the stability conditions of this adaptive control system with actuator time delay were derived. After adding a filter function, the active balancing system for the fast speed-varying Jeffcott rotor with actuator time delay can easily be converted to a strictly positive real system, and thus it can use the above adaptive controller satisfying the stability conditions. Finally, numerical simulations show that the adaptive controller proposed works very well to perform the active balancing for the fast speed-varying Jeffcott rotor with actuator time delay.展开更多
文摘建立主动磁轴承(active magnetic bearing,AMB)系统中裂纹转子的动力学模型,从理论上分析主动磁轴承转子系统中裂纹转子的动力学特性,讨论主动磁轴承的控制方法及控制参数对转子裂纹故障动力特性的影响,以及裂纹对主动磁轴承转子系统的稳定性影响等问题。结果表明,主动磁轴承转子系统中转子的裂纹故障动力特性比传统的裂纹转子的动力特性更为复杂。控制器采用PID控制方式时,传统的用来诊断转子裂纹故障的特征参数在一定条件下能被继续用来检测裂纹的存在;同时,研究结果证明,控制器采用最优控制时,不能采用传统方法检测裂纹。
基金Supported by the Heilongjiang Province Department of Education Science and Technology Project (11544048)
文摘A Jeffcott rotor-magnetic bearing with time delays is investigated in this paper. Firstly, it is found that the characteristic equation of the system satisfies the conditions of the singularity. Secondly, the center manifold reduction and normal form are employed to study the bifurcation from simple zero and zero-purely imaginary singularities. The results of this paper will help to understand the influence of the time delays in feedback loop on the dynamics of rotor-magnetic bearing system.
文摘Due to actuator time delay existing in an adaptive control of the active balancing system for a fast speed-varying Jeffcott rotor, if an unsynchronized control force (correction imbalance) is applied to the system, it may lead to degradation in control efficiency and instability of the control system. In order to avoid these shortcomings, a simple adaptive controller was designed for a strictly positive real rotor system with actuator time delay, then a Lyapunov-Krasovskii functional was constructed after an appropriate transform of this sys-tem model, the stability conditions of this adaptive control system with actuator time delay were derived. After adding a filter function, the active balancing system for the fast speed-varying Jeffcott rotor with actuator time delay can easily be converted to a strictly positive real system, and thus it can use the above adaptive controller satisfying the stability conditions. Finally, numerical simulations show that the adaptive controller proposed works very well to perform the active balancing for the fast speed-varying Jeffcott rotor with actuator time delay.
