In the first part of our course of power electronics, we review the
concepts of RMS and THD applied in current and voltage signal analysis.
Students were challenged to find a trapezoidal signal really similar to a
sinusoidal waveform with amplitude equal to 1.
The document contains the used rules and three final candidates.
Please help me to select the best.
Dear Oswaldo,
If the minimization between the two wave forms targets minimization of the harmonic contents that is the THD then candidate 3 is the best choice. If the target is the output power maximization then the RMS error must be minimum, and then candidate 1 will be the winner. If one has to hold the peak amplitude of the trapezoidal signal to the peak value of the sine wave, for example for the peak detection, then the amplitude error =zero may be winning, then candidate 1 and 2 win.
From my point of view as a there are two parameters and two functions to be minimized, the mean square error and the THD, then candidate 3 will be the winner.
Accordingly,I would decide for candidate three as the winner.
Best wishes
Dear Oswaldo,
I think that the winner is candidate 3, and I agree with the Abdelhalim post.
Dear Prof. Oswaldo
I think that multiple signals with the same amplitude and rms can be represented with different types. So, the best criterion to describe the similarity with a sine signal is the THD; in this way number 3 would be the winner. Regards
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