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This paper presents alternative computing methods for power-related quantities using wavelet transforms. First, two alternatives for classical reactive power quantities based on the real wavelet transform are given, having advantages over the methods published in the literature for the calculation of reactive power. They are based on the implementation of a time delay in the wavelet domain and on a method splitting the current into an active and reactive component. Second, a totally different method is presented using complex wavelet transforms, allowing the formulation of power definitions in the time-frequency domain itself, similar to Fourier-based power definitions, but theoretically yielding continuously varying power quantities. All approaches are illustrated with examples.