The forward Euler method is well known for its simplicity and ease of implementation in permanent magnet synchronous motor (PMSM) controls. However, it introduces significant errors, which become more severe when establishing the discrete-time model of a high-order system for a high-speed PMSM with an LCL filter. Traditional discrete methods, which have smaller errors, are too complex and difficult to apply in high-speed systems. To address these issues, this article proposes a sensorless control method for surface-mounted high-speed PMSM with an LCL filter based on a predictive correction Runge–Kutta (PCRK) discrete method. High-precision extended Luenberger observer and strongly robust sliding mode observer (SMO) are established to estimate motor side currents and rotor position. PCRK is proposed to reduce discretization errors and computational load. Implicit equation issues in numerical solutions are eliminated through predictive-corrective steps to implement the algorithm in digital circuits. Several simulations and experiments are conducted in three methods: the traditional Euler method, the bilinear transform method, and the proposed method. Comparisons demonstrate that the proposed method has good rotor position estimation performance and a wide pole configuration range in sensorless control of HSPMSM with an LCL filter.

中文翻译：

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LCL滤波器高速永磁同步电机降阶扩展观测器及修正离散化方法


前向欧拉方法因其在永磁同步电机 (PMSM) 控制中的简单性和易于实施性而闻名。然而，它会引入显着的误差，当为带有 LCL 滤波器的高速 PMSM 建立高阶系统的离散时间模型时，误差会变得更加严重。传统的离散方法误差较小，但过于复杂，难以在高速系统中应用。为了解决这些问题，本文提出了一种基于预测校正龙格库塔（PCRK）离散方法的带有 LCL 滤波器的表面贴装高速 PMSM 无传感器控制方法。建立高精度扩展Luenberger观测器和强鲁棒滑模观测器（SMO）来估计电机侧电流和转子位置。 PCRK的提出是为了减少离散化误差和计算量。通过预测校正步骤消除数值解中的隐式方程问题，以在数字电路中实现算法。采用三种方法进行了多次仿真和实验：传统的欧拉方法、双线性变换方法和所提出的方法。比较表明，该方法在带有 LCL 滤波器的 HSPMSM 无传感器控制中具有良好的转子位置估计性能和较宽的极配置范围。