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对永磁悬浮-机械动压轴承混合支承式飞轮储能系统的机电耦合动力学问题进行了研究.基于机电分析动力学原理,给出了系统各部件的动能、势能、电机气隙磁场能和系统的耗散函数,并由广义Lagrange-Maxwell方程建立了系统的机电耦合动力学微分方程组.推导出了适用二阶多自由度常微分方程组的四阶隐式Runge-Kutta公式,并运用Gauss-Newton法求解了机电耦合动力学非线性代数方程组.完成了储能0.3kW飞轮系统动力学特性分析,研究结果表明,上阻尼系数变化对储能飞轮系统的机电耦合共振频率没有明显的影响,但是使系统的共振峰幅值大幅降低.随着下阻尼系数增加,系统的机电耦合共振频率增大,同时系统共振峰幅值下降.随着电机转子稀土永磁体剩余磁感应强度增大,系统的机电耦合共振频率减小,同时系统共振峰幅值增大.
The mechanical and electrical coupling dynamics of permanent magnetism suspension-mechanical dynamic pressure bearing hybrid supported flywheel energy storage system are studied.Based on the principle of electromechanical analysis kinetics, the kinetic energy, potential energy, air gap magnetic field energy and system of the system are given The dissipative functions of the system are established and the system of electromechanical coupled dynamic differential equations is established by the generalized Lagrange-Maxwell equations. The fourth-order implicit Runge-Kutta equations for second order multi-degree-of-freedom ordinary differential equations are deduced and Gauss -Newton method was used to solve the nonlinear algebraic equations of electromechanical coupling dynamics.The dynamic characteristics of the 0.3kW flywheel system with stored energy were analyzed.The results show that the change of the upper damping coefficient has no obvious effect on the electromechanical coupling resonance frequency of the energy storage flywheel system , But the amplitude of the system resonance peak is greatly reduced.With the increase of the lower damping coefficient, the electromechanical coupling resonance frequency of the system increases and the amplitude of the system resonance peak decreases.With the increase of residual magnetic induction of the rotor permanent magnet of the motor, the system The electromechanical coupling resonance frequency decreases, while the system resonance peak amplitude increases.