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WANG Xue-wei, GAO Zhao(College of Information Science and Technology, Beijing University of Chemical Technology, Chaoyang District, Beijing 100029, China)  
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.
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