This article proposes a rotor position and speed estimation method for the interior permanent magnet synchronous machine (IPMSM) in the full-speed range. The proposed method is implemented in the synchronous rotating frame. Based on the voltage equation of the IPMSM in the synchronous rotating frame, a single-variable optimization problem is formulated to solve the rotor position at each current sampling step. After that, the solved position is fed into a phase-locked loop observer to obtain the estimated rotor speed and smooth out the estimation. The proposed position and speed estimation methods are effective from standstill to high speed, and no estimation algorithm switching is needed during speed variation. Details about the convexity of the optimization problem, the effects of parameter mismatch and sampling noise, and the solving method of the problem are discussed. Finally, experiments are conducted in both steady and dynamic situations to validate the effectiveness and robustness of the proposed algorithm.

中文翻译：

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同步旋转框架中基于简化二次优化的 IPMSM 全速范围转子位置估计

本文提出了一种全速范围内的内置式永磁同步电机（IPMSM）转子位置和速度估计方法。所提出的方法是在同步旋转框架中实现的。基于同步旋转坐标系中IPMSM的电压方程，提出了一个单变量优化问题来求解每个电流采样步骤的转子位置。之后，求解出的位置被送入锁相环观测器以获得估计的转子速度并平滑估计。所提出的位置和速度估计方法从静止到高速都是有效的，并且在速度变化期间不需要估计算法切换。有关优化问题的凸性、参数失配和采样噪声的影响的详细信息，并讨论了问题的解决方法。最后，在稳态和动态情况下进行了实验，以验证所提出算法的有效性和鲁棒性。