瞬时无功功率理论坐标变换的推导及谐波电流检测原理分析

在矢量空间中建立了三维坐标系，对赤木泰文提出的瞬时无功功率理论所用的坐标变换进行了推导，通过空间坐标变换得出了2个等价的三维坐标系，并经过严格的数学推导得出了上述三维坐标系的变换因子，解决了瞬时无功功率理论的系数推导问题，直接得出了表示三相不对称系统的零序量。用旋转相量的理论解释了基于瞬时无功功率理论的瞬 时空间矢量谐波电流检测法的基本原理，文中的分析对理解 和改进该谐波电流检测法具有指导意义。

Deduction of Coordinate Transform for Instantaneous Reactive Power Theory and Analysis on the Principle of Harmonic Current Detection Method

By means of building up a three-dimension coordinate system in vector space, the coordinate transform used in instantaneous reactive power theory (IRPT) proposed by H. Akagi is deduced and through spatial coordinate transform two equivalent three-dimension coordinate systems are obtained. After rigorous mathematical deduction the transformation factor for above-mentioned three-dimension coordinate systems is achieved, thus the coefficient deduction for IRPT is solved and the zero-sequence quantity expressing three-phase asymmetrical system is directly obtained. By use of the theory of rotating phasor, the basic principle of instantaneous spatial vector detection method based on IRPT is explained. The authors’ analysis is available for understanding and improvement of this harmonic current detection method.