单相电路电流分解与功率定义新方法

对于任意周期性电压与电流信号的单相电路,提出一种新的电流分解方法。利用欧氏空间普通基与正交基之间的坐标变换,将电流分解为两两正交的一个广义基波电流和一系列广义谐波电流,在此基础上提出了一种新的功率定义方法,使传统单相电路的功率理论成为本方法的一种特例。最后给出电流分解算例及相关波形图,对所提出的方法进行了验证。该方法应用范围广泛、物理意义明确、计算简单明了,对非正弦电路电流、功率分析及谐波检测具有重要的理论指导意义。

A New Method of Current Decomposition and Power Definition of Single-phase Circuit

A new method of current decomposition is proposed for single-phase circuit with periodical voltage and current. By using the co-ordinate transform between the general base and the orthogonal base of the Euclid space, the current signal is decomposed to a series of orthogonal currents including a broad-sense fundamental current and a harmonic current. Furthermore, a new method of power definition is presented. An example of current decomposition and relevant waveforms to verify the new method are presented in the paper. The method can be extensively used with explicit physical meaning, simple calculation and is useful in analyzing and measuring the current and power of non-sine circuit.