The definition of power factor in single phase system with arbitrary waveform according to similarity

In this paper, the description of similarity in frequency domain between voltage waveform and current waveform is achieved in infinite dimensions real vector space. A new kind of definition formula of power factor, which is suitable under arbitrary waveform voltage and current in single-phase system, is proposed. In this definition, power factor is defined as the product of virtual value similarity factor and phase similarity factor. Conventional power factor definition is only a special case of new definition. This definition suits not only steady state but also transient state.