This paper shows a new polynomial Kernel (a non-Gaussian window) suitable for the implementation of phase corrected wavelet transform, in a recursive manner, which the target is to track harmonics and inter-harmonics and achieve acceleration in the disturbances detection process and help the waveform characterization in power quality analyzers that must be in compliance at the same time with the power quality IEC standards. Synthetic signals are generated and tested simulating many kinds of disturbances, tracking the fundamental, in four cycles or less, even in noisy environments.