【摘要】 该文用频域分析的方法在无穷维实向量空间内实现了对电压、电流波形相似性的描述,进而提出了将单相任意周期波形系统中的功率因数表示为有效值相似系数lRMS和相位相似系数lj的乘积的新定义形式。新定义保证了在任意波形下线性纯电阻的功率因数恒等于1;电容电感的功率因数恒等于0。其他负载的功率因数介于0~1之间。常规功率因数定义只不过是新定义在电压无畸变情况下的一个特例。最后文中分析了常规定义与新定义之间误差产生的原因及误差组成。更多还原

【Abstract】 In this paper, a frequency domain description of similarity between voltage waveform and current waveform was achieved in infinite dimensions real vector space. Then a new kind of definition formula of power factor was proposed, which was suitable under arbitrary waveform voltage in single phase system. In this definition, power factor was defined as the product of virtual value similarity factor lRMS and phase similarity factor lj. According to new definition, under voltage with arbitrary waveform, power factor of linear resistor was identical with 1, power factors of inductor and capacitor were identical with 0, and power factors of other kinds of load were in (0,1). The error between conventional definition and new definition was analyzed also.更多还原