电机中ABC到dq0坐标变换的梳理与辨析

摘要/Abstract

摘要： 针对电机中ABC到dq0坐标变换定义及使用混乱的问题,阐述了Clarke变换和Park变换的初始定义,梳理了两种变换的历史演变,澄清了两种变换的本质内涵。利用数学方法,推导并给出了等幅值和等功率的Clarke变换矩阵(ABC/αβ0)、两相静止到两相旋转坐标系的变换矩阵(αβ0/dq0),以及Park变换矩阵(ABC/dq0),分析了各种矩阵之间的联系、区别及使用条件。列举了一些对Clarke变换和Park变换理解不深刻、阐述不严谨的典型情况,并对目前不同文献对于Park变换定义不统一的问题进行了探讨。以永磁同步电机调速系统为例,建立不同坐标变换的仿真模型并进行仿真分析与验证,指出混淆坐标变换矩阵的典型特征及对系统仿真结果的影响,给出纠正措施与应对策略。

关键词: 坐标变换, Clarke变换, Park变换, 永磁同步电机

Abstract: Abstract to deal with the problem of misunderstand and misuse of coordinate transformation from ABC to dq0 in an electric machine, the initial definitions of Clarke transformation and Park transformation were expounded, the historical evolutions of the two transformations were illuminated, and the essential connotations of the two transformations were clarified. On this basis, the Clarke transformation matrix (ABC/αβ0) on account of equal amplitude and equal power, the transformation matrix (αβ0/dq0) from the static to rotating two-phase coordinate system, and the Park transformation matrix (ABC/dq0) were derived by a mathematical method and shown. And the relationship, difference, and working conditions of various matrices were analyzed. Some typical cases that the understanding of Clarke transformation and Park transformation is not profound and the explanation is not rigorous were described.And the issue that the definitions of Park transformation are not unified in different literature at present was discussed. Taking the PMSM speed regulation system as an example, the simulation models of various coordinate transformations were established, and the simulation analysis and verification were carried out. The typical features of confoundingcoordinate transformation matrices and the impact onsystem simulation results were pointed out, and the corrective measures and strategies were also given.

Key words: coordinate transformation, Clarke transformation, Park transformation, permanent magnet synchronous motor

中图分类号:

TM301
TM351

付兴贺, 陈锐. 电机中ABC到dq0坐标变换的梳理与辨析[J]. 微特电机, 2021, 49(4): 1-8.

FU Xing-he, CHEN Rui. Criticism and Argument on Coordinate Transformation from ABC to dq0 in Electric Machine[J]. Small & Special Electrical Machines, 2021, 49(4): 1-8.

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