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Up to what value can I increase the tolerance in the dynamic solution parameters

I would like to know up to what value I can increase the tolerance in the dynamic solution parameters in PSS/E under network solution. I've realized that the voltage recovers to a higher value following a fault if I increase the tolerance. The solution also converges at some point after increasing the tolerance if it previously didn't. Is there a certain point (value) after which it is not advisable to increase the tolerance. The default value is 0.0001. I had to increase it to 8 or thereabout sometimes for it to converge. Does this affect the accuracy of the simulation?