I have been thionking today about phase shifts as they relate to frequency changes.
I think we all agree that an action that initiates or terminates a phase shift will cause at least one-half cycle to be distorted. I think that it is spitting hairs to call this half cycle anomaly a different frequency.
Consider a power system with a branch circuit energizing a resistance heating load. Now start a motor with a bad power factor on the same circuit. We have a phase shift, right? Different frequency for a very short time? What about the voltage? It didn't shift, only the current shifted. But we have been hearing that a phase shift causes a different frequency.
Okay, now I have two different frequencies on the same circuit. The voltage frequency no longer equals the current frequency (for a short time).
I may change my mind at some point in the future, but for now, I am not quite ready to accept different voltage and current frequencies in the same circuit, rather than calling a phase shift a phase shift.
Let's call a phase shift a phase shift and accept that it causes a distortion in the wave form, but let's not split this poor hair any further.
Pole slipping is a little more interesting. I have never slipped a really big pole, but I imagine that a fourier analysis on the system would show both the system frequency and the frequency of the problem machine. I would expect the relative percentages of the two frequencies to vary at different locations throughout the system.
respectfully