多相电路坐标变换的一般理论  

Generalized coordinates transformation theory of multiphase system

作　　者：陈菊明[1] 刘锋[2] 梅生伟[1] 卢强[1] 

机构地区：[1]清华大学电机系电力系统国家重点实验室,北京100084 [2]中国科学院系统科学研究所,北京100080

出　　处：《电工电能新技术》2006年第1期44-48,共5页Advanced Technology of Electrical Engineering and Energy

基　　金：国家自然科学基金资助项目(50595411;K5112515E1)

摘　　要：与现有的三相电路相比,多相电路中还有很多问题需要研究。电路坐标变换是研究和分析这些问题的重要工具之一。本文提出了多相电路坐标变换的一般理论,并从物理和几何的角度分析了该变换的内在本质,归纳了它的时空对称律。事实上,经过坐标变换,我们可以在维数更低的子空间(甚至是在平面上)来研究信号。可以看到,该变换可以很好地包含传统的三相电路的坐标变换理论,而且它有助于建立多相电路谐波检测、多相电机独立控制、多相电路故障诊断等应用的理论基础。作为示范性例子,本文还给出了多相系统中谐波检测问题的解决方案。Circuit coordinates transformation method is one of the most important tools in analyzing and solving power system problems. In this paper, a generalized coordinate transformation theory of muhiphase system including three-phase system is proposed, and also the basic properties of the theory are given. Then the essence of the transformation is analyzed from the perspective of physics and geometry, which reveals the nature of the time-space symmetry of the proposed transformation. In fact this coordinate transformation projects the interested high-dimensional signal onto a set of orthogonal subspaces. So one can study the signal in some much lower-dimensional subspaces, specifically, some planes. It can be seen that the proposed theory greatly generalizes the traditional transformation theory for three-phase circuit, and then, is in favor of establishing a theoretical foundation for harmonic detection, motor control, and fault diagnosis of muhiphase system. Finally, the harmonic detection problem in multiphase circuits is addressed as an illustrative example.

关 键 词：多相电路 变换 谐波检测 

分 类 号：TM714[电气工程—电力系统及自动化]