中文摘要：

提出了一种新的基于机械弹性的储能方法,推导了永磁电机式机械弹性储能机组的非线性动力学模型,论证了机组储能过程中某些参数及运行条件下会出现混沌运动,分析了机组非线性动力学模型的线性稳定性.在此基础上,基于本实验室正在研发的0.16 kWh/0.8 kW机械弹性储能机组运行参数,将机组3维非线性模型降阶为带时变参数的2维投影子系统,采用坐标平面投影法研究了机组的混沌特性,分析了降维子系统平衡点位置及特征方程随时变参数的变化关系,并对机组混沌运动进行了数值验证,在一定程度上解决了解析方法,适用性较差导致对多维机电耦联系统只能仿真求解难以理论分析的问题.

英文摘要：

A new way of energy storage based on mechanical elasticity is proposed. Nonlinear dynamic model of permanent magnet motor based mechanical elastic energy storage unit is derived, and the chaotic behaviors under certain parameter values and operation conditions are demonstrated. The linear stability of the nonlinear dynamic model is analyzed. Based on the operation parameters of the 0.16 kWh/0.8 kW unit that is being developed in our laboratory, three-dimensional nonlinear model is reduced to two-dimensional projection subsystem with varying parameters. Then the chaotic property of the unit is analyzed by coordinate plane projection method, the changing relationship between the locations of equilibrium point, characteristic equation of reduction subsystem and varying parameters is discussed, and the chaotic behavior is numerically verified. The issue caused by poor applicability of analytical methods and solved only by simulation is solved to some extent at a theoretical analysis level.