The rotational instability of the flexible solar array will lead to the instability of satellite attitude and affect the imaging accuracy of high-resolution remote sensing satellite payload. In this article, the dynamic behavior of the permanent magnet synchronous motor in driving the flexible solar array is studied. The equation of the permanent magnet synchronous motor driven by the microstep driving method is simplified by coordinate transformation and linearization. The dynamic model of the permanent magnet synchronous motor in driving the flexible solar array is established by the fixed-interface mode synthesis method. According to the classical control theory, a method to determine the control parameters is presented. The dynamic model and the method are demonstrated by simulation and experiment. The results show that the predicted frequency error of the dynamic model of the flexible solar array driven by the permanent magnet synchronous motor is less than 5.5%, and the amplitude error of the corresponding frequency is less than 9.7%. The method of determining control parameters is effective and feasible, which provides effective support for engineering practice.

柔性太阳能电池阵列的旋转不稳定性将导致卫星姿态的不稳定性，并影响高分辨率遥感卫星有效载荷的成像精度。本文研究了永磁同步电动机在驱动柔性太阳能电池阵列中的动力学行为。通过坐标变换和线性化，简化了由微步驱动方法驱动的永磁同步电动机的方程。通过固定界面模式综合方法，建立了永磁同步电动机驱动柔性太阳能电池阵列的动力学模型。根据经典控制理论，提出了一种确定控制参数的方法。通过仿真和实验对动力学模型和方法进行了论证。结果表明，永磁同步电动机驱动的柔性太阳能电池阵列动力学模型的预测频率误差小于5.5％，相应频率的幅度误差小于9.7％。确定控制参数的方法是有效可行的，为工程实践提供了有效的支持。