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A Differential-Algebraic Approach to Speed Estimation in an Induction Motor

机译:异步电动机速度估计的微分代数方法

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This note considers a differential-algebraic approach to estimating the speed of an induction motor from the measured terminal voltages and currents. In particular, it is shown that the induction motor speed ω satisfies both a second- and a third-order polynomial equation whose coefficients depend on the stator voltages, stator currents, and their derivatives. It is shown that as long as the stator electrical frequency is nonzero, the speed is uniquely determined by these polynomials. The speed so determined is then used to stabilize a dynamic (Luenberger type) observer to obtain a smoother speed estimate. With full knowledge of the machine parameters and filtering of the sensor noise, simulations indicate that this estimator has the potential to provide low speed (including zero speed) control of an induction motor under full rated load.
机译:本说明考虑了一种差分代数方法,用于根据测得的端子电压和电流估算感应电动机的速度。特别地,示出了感应电动机速度ω满足二阶和三阶多项式方程,其系数取决于定子电压,定子电流及其导数。结果表明,只要定子电频率不为零,速度就由这些多项式唯一地确定。这样确定的速度然后用于稳定动态(Luenberger型)观察器,以获得更平滑的速度估计。充分了解电机参数并过滤掉传感器噪声后,仿真表明,该估算器有可能在满额定负载下对感应电动机提供低速(包括零速)控制。

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