I don't think grid harmonics would be a problem. Only if powered from electronic power supply. I don't know why there would be an electronic power supply for this purpose but I was trying to guess why harmonics might be a concern.
Going to the issue of motor excitation harmonics. Let's say resonant frequency =sqrt(1/LC)=5* line frequenc. By superposition, two different circuits, one at line frequency and one at 5th harmonic. The one at line frequency we know everything about it, since voltage is controlld by the source.
Now what about the 5th harmonic circuit.
If we model the 5th harmonic excitation current (due to saturation), as a current source, it circulates harmlessly between coil inductance and inductor. The 5th harmonic voltage is pretty darned close to 0 because the impedance of that circuit is 0.
If we model the 5th harmonic excitation (due to saturation), as a 5th harmonic voltage, it creates very high 5th harmonic current because the impedance to 5th harmonic is 0 in the resonant circuit.
I think the first scenario is closer to reality. In either event the chances of creating a resonance at an excitation harmonic are small and are 0 if you have full compensation (in which case resonance is at line frequency.). I don't see any big harmonic concern. It would help to ask the person who made the comment specifically what the concern was.
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