This article presents a mathematical framework for the design and analysis of position observers for sensorless control of synchronous reluctance machines. The approach expresses the observer error via a generalized projection vector. Moreover, the proposed framework includes an improved inductance model to account for the position error-induced inductance variations. First, the instability regions of active flux-based position observer are analytically identified and validated. Then, a novel technique, adaptive projection vector for position error estimation, is introduced, immune to instability of active flux scheme. Furthermore, the proposed technique can be augmented with a second projection vector for independent estimation of speed error, referred to as adaptive projection vector matrix for position and speed error estimation. Sensitivity analysis to parameter errors is developed. Stability and performance of proposed technique is validated on a 1 kW synchronous reluctance motor test bench.

中文翻译：

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无传感器同步磁阻电机驱动器：用于位置估计的通用自适应投影矢量方法

本文提出了一个数学框架，用于设计和分析用于同步磁阻电机无传感器控制的位置观测器。该方法通过广义投影向量表示观察者误差。此外，所提出的框架包括一个改进的电感模型，以解决位置误差引起的电感变化。首先，分析识别和验证了基于主动通量的位置观测器的不稳定区域。然后，引入了一种新技术，用于位置误差估计的自适应投影矢量，不受有源通量方案的不稳定性影响。此外，所提出的技术可以通过用于独立估计速度误差的第二个投影矢量进行扩充，称为用于位置和速度误差估计的自适应投影矢量矩阵。开发了对参数误差的敏感性分析。建议技术的稳定性和性能在 1 kW 同步磁阻电机测试台上得到验证。