畸变波形下功率定义问题的探讨

A RESEARCH ON POWER DEFINITION UNDER DISTORTED WAVE

国际上对频域和时域功率定义的争论由来已久,提出的新功率定义往往在解决了某些问题的同时还存在另一些不足或引出了新的问题。文章分析了频域、时域两大类功率定义的现状及各种定义的优势和存在的不足。频域功率定义保留了各频谱分量的信息,因此实现时计算量大;时域功率定义可以实现补偿电流的实时计算,但对于依据信号频谱来识别的研究无能为力。文章指出应在泛函分析的基础上用更抽象的形式涵盖二者,在具体应用时依据不同的问题进行简化,从而解决功率定义的统一问题。

The controversy on power definition in time-domain and frequency-domain lasts home and abroad for a long time, and when some problems are solved by the newly proposed definition of power, there is always some other insufficiency or new problems are caused. Here, the present situation of the two kinds of definitions of power in time domain and frequency domain, the superiority and insufficiency of each definition are analyzed. The power definition in frequency domain reserves the information in spectrum components, but too much calculations should be carried out; with the power definition in time domain the real-time calculation of compensating current can be calculated, but it is powerless in the research of identification with signal spectrum. It is proposed that the two definitions of power should be unified on the higher frame, and on the basis of functional analysis a more abstract form can contain them. In the application of this abstract form it may be simplified according to the actual problem itself, so the unification of the definition of power can be solved.