| Flywheel energy storage system is a kind of energy storage device which can store and release energy through high-speed rotating flywheel.In order to reduce energy loss,the flywheel rotor is installed in a vacuum environment and supported by magnetic bearings.In this paper,the vertical magnetic suspension flywheel energy storage system is taken as the research object,and the vibration characteristics and the dynamic response of the rotor with the 6000 rpm rotary speed under the foundation excitation are analyzed.According to the calculation formula of electromagnetic force,the electromagnetic support force model of AMB is deduced,and the equivalent stiffness and damping of AMB are calculated,the influence of control parameters on the equivalent stiffness and damping of AMB is analyzed.According to the relevant theories of Lagrange energy equation,Euler angle and gyroscopic moment,the 10 DOF coupling dynamic differential equation of rotor-foundation of magnetic suspension flywheel is established.On the basis of the deduced dynamic differential equations,the Runge-Kutta method is used to calculate the natural frequency of the flywheel energy storage system and the critical speed of the rotor,and compare with the calculation results of the Workbench simulation software.The system’s Campbell diagram is obtained.When the free rotating flywheel energy storage system is subjected to radial instantaneous excitation,harmonic excitation and random excitation,the corresponding rotor trajectory is obtained by numerical calculation,and the vibration response of the rotor under different base excitation is analyzed.When the rotor speed is close to the critical speed or the external base excitation frequency is close to a certain natural frequency of the system,the rotor resonance will occur.The motion trail of the rotor foundation system with mass eccentricity are analyzed by the established dynamic differential equations.The time-domain and frequency-domain diagrams of the vibration of the rotor-foundation system with mass eccentricity are obtained through numerical calculations and the vibration characteristics are also analyzed.The vibration response of the system under the combined action of rotor mass eccentricity and external foundation excitation is analyzed.By comparing the vibration images of the rotor under different support stiffness,the influence of the foundation support stiffness on the rotor vibration is analyzed.The 600 Wh flywheel energy storage test prototype is debugged and the vibration data is collected.The vibration response of the 600 Wh energy storage flywheel rotor during actual operation was analyzed.Through the filtering of the data,the vibration waveform of the rotor and the amplitude and vibration trajectory at the upper and lower bearings are obtained.The correctness of the calculation results is verified by analyzing the vibration trajectory image and frequency domain diagram. |
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