感应电机连续数学模型数值解的不同方法

J. Bauer, Ondrej Lincak, J. Kynčl
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引用次数: 0

摘要

感应电机驱动的重要参数包括动力学和效率。这两个属性都与精确获取难以测量的数量紧密相关,例如磁通量(及其位置)和电机扭矩。感应电机的数学模型用于计算这些量。该模型通常由一组微分方程组成,这些微分方程必须在驱动器的控制器中进行数值求解。计算时间和结果估计的精度是选择求解器的重要参数。为此,在工程应用中通常采用欧拉法,但随着DSP计算吞吐量的提高,也可以采用更复杂的数值方法。本文力求将欧拉法与四阶龙格-库塔法进行比较。
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Different Approaches in Numerical Solution of Continuous Mathematical Models of Induction Machine
Important parameters of an induction motor drives include dynamics and efficiency. Both attributes are tightly associated with accurate acquisition of hardly measurable quantities such as magnetic flux (and its position) and motor torque. The mathematical model of the induction machine is used for calculation of these quantities. The model usually comprises of a set of differential equations, that have to be numerically solved inside drive's controller. Computation time requirement and accuracy of the resulting estimation are important parameters of the selected solver. For this purpose, Euler's method was usually used in engineering applications, but with increasing computational throughput of DSP, more complicated numerical methods can be applied too. This paper strives to compare Euler's method with 4thorder Runge-Kutta method.
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