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In nonsinusoidal situations, power components definitions contained in the IEEE standard 1459-2000 are based on a frequency-domain approach using Fourier transform (FT). The frequency-domain approach can provide amplitude-frequency spectrum while loosing time-related information. Moreover, the FT carries a heavier computational burden. To overcome these limitations, definitions of power components are reformulated in the wavelet domain using the discrete wavelet transform (DWT). Using the DWT preserves the information concerning time and frequency and also reduces the computational time and effort by dividing the frequency spectrum into bands or levels. The results of applying the reformulated definitions show that the problem of spectral leakage between wavelet levels can be minimized by suitably choosing the wavelet family along with suitable mother wavelet. The reformulated definitions could be useful for setting tariff and evaluating the quality of the electric energy supply especially when considering nonstationary waveforms where the Fourier transform-based power components definitions fail.