I agree with everything that has been said. I see in IEEE documents where the importance of keeping neutral resistance < Xc is stated to prevent damaing transients is stated.
I analysed the system consisting of balanced 3-phase resistance grounded source powering three identical capacitances connected to ground, with a time-varying fault resistance connected across phase as shown in:
Equation 11 gives a solution:
d(En(t))/dt = -1/3*En(t)/Rn/C - 1/3*(En(t)+Ea(t))/C/Rf(t)
where En(t) is neutral voltage referenced to ground, Ea(t) is A phase voltage referenced to ground, C is capacitance to ground, Rf(t) is time-varying fault resistance, Rn is neutral grounding resistance.
At times when Rf(t) is infinity, the first term gives a decaying exponential response which always decreases |En| over time.
When Rf becomes low, the 2nd term can act to increase |En(t)| over time, but ONLY when En and Ea are opposite sign AND |Ea| > |En|.
Therefore we can see the peak value that En can attain is the peak value of Ea.
If we have no capacitance and a solid ground short, then En(t)= - Ea(t).
in that case Vb(t) = En(t)+Eb(t) = -Ea(t)+Eb(t) will have a peak value of sqrt(3) times the nominal line-to-ground voltage, since there is 120 degree angle between Ea and Eb.
Now if we add the capacitance and remove the short when Ea hits a peak, the peak value of En(t) will decay slowly. At 60-degrees later it will be 180 degrees apart from Eb or Ec and will create a voltage approaching 2x nominal line-to-ground voltage. (exactly 2x if no decay occurs during that 60 degree time span).
Now the question…. how do we expect a machine to respond to line-to-ground voltage increasing by a factor of 2 above nominal?
IEEE432-92 and others specify that ac hi-pot tests for machines with service-aged insualtion be performed at a level of 125% to 150% of rated machine line-to-line voltage for one minute. Taking the lower limit of 125%, that corresponds to a 1.25*sqrt(3) ~ 215% of nominal line-to-ground voltage. If a machine were to fail at less than 200% of nominal line-to-ground voltage for duration of less than one minute, it seems to me that the insulation was already weak. What do you guys think?
It also makes me wonder whether voltage can increase higher than the factor of 2 predicted above if we change the model....
I think that if we modeled other motors connected to the system ot would have no effect… they continue to see balanced voltage applied to their terminals (even though line-to-ground voltage is changing).
But I do think that we can get higher voltages and surges if we add a series inductance into the supply circuit representing transformer and cable impedances. That can give some oscillatory behavior in reponse to a step-change in resistance. If I get a chance I will try to model that.
Although we have spent a lot of time in discussion of this particular aspect (partly due to my comments) I would recommend to the original poster to keep an open mind to a wide range of possibilities for his problem.