摘要
在电流调节器、逆变驱动电路及永磁同步电机数学描述的基础上,直接建立无刷直流电动机系统数学模型,运用非线性仿射变换及尺度变换理论,将系统模型变换为类Lorenz系统形式.对系统进行稳定性及吸引子分析,发现系统运行状态与直流输入存在密切关系.对系统进行雅克比矩阵特征值计算,确定系统三个平衡点稳定状态,揭示出系统产生奇怪吸引子的根源在于出现了霍夫分叉.对分析过程进行了数值仿真,结果验证了理论分析的正确性.
Based on the mathematical description of current regulator, SPWM and PM motor, the mathematical model of a brushless DC motor system was proposed directly and transformed to a similar Lorenz system by applying the nonlinear affine transformation and the scaling transformation theory. The stability and attractor of the system were analyzed, and the relationship between the system operation condition and the direct current input was obtained. The stability of the three equilibrium points was analyzed by calculating the eigenvalues of the Jacobi matrix, which revealed that the Hopf bifurcation resulted in the strange attractor. Finally, numerical simulations were presented, and the results showed the validity of the theoretical analysis.
出处
《动力学与控制学报》
2006年第1期59-62,共4页
Journal of Dynamics and Control
