非正弦系统广义无功功率及广义功率因数的物理解释

在应用相关技术分析电流电压波形与广义无功功率之间的关系的基础上，提出了电流电压波形相似和波形完全相似的概念，用此概念论证了广义功率因数是电流总体波形与电压总体波形完全相似程度的一种度量，明确了广义无功功率是由于电流总体波形与电压总体波形存在差异所造成的这一物理概念。文中还给出了电流电压波形相似系数和波形完全相似系数的定义式，其中波形相似系数描述了电流波形相对电压波形的非畸变程度和对称程度，波形完全相似系数等价于广义功率因数，表征了系统容量的利用率。

Explanation of Generalized Reactive Power and Power Factor in Nonsinusoidal Systems

The relationships between generalized reactive power and waveforms of voltage andcurrent are analyzed by using the correlation techniques. The concepts of similarity and completesimilarity of voltage and current waveforms are proposed. With these concepts it is derived andproved that the generalized power factor is essentially a measure of the difference between voltageand current waveforms, while the reactive power is just the result of this difference. Two characteristic parameters, similarity coefficient and complete similarity coefficient of voltage and currentwaveforms, are given to evaluate the quality of electric energy. The similarity coefficient characterizes the degree of being distortionless and the symmetry of load current related to voltagesource. The complete similarity coefficient is equivalent to the generalized power factor and characterizes the efficiency of power delivery of power systems.