Discussion of voltage levels is sometimes a matter of opinion.
induction is right that 1kv on a 4kv motor is probably not enough. IEEE43-2000 specifies 2500vdc for a [non-destructive] insulation resistance test on 4kv motor.
Dan is right that 9kv on a 4kvdc motor is considered a Hi-pot test (potentially destructive) but still within the limits allowed by IEEE95 for hi-pot testing of service-aged windings.
I had an experience which taught me something about hi-pot testing.
We had an 8000hp 13.2kv motor refurbished. After final reassembly it was hi-potted to 18kvac and then run unloaded.
On receipt at plant we hi-potted to 24kvdc, which is a lower equivalent voltage level, considering the accepted 1.7 conversion factor between ac and dc hi-pot levels. We got to our final step 24kvdc and current was ~ 1.5 micro-amps. Without warning the test set tripped (trip setting 100 microamps). We investigated, tore down the motor, found a failure just outside the slot, required rewind. My conclusions:
#1 - Don't believe the 1.7 conversion factor. It is a thumbrule but not absolute truth.
#2 - DC hi-pot can damage a motor, no matter how careful you are.
Still we continue to do DC hi-pot on some critical motors. If it fails during test, we believe there was a probability it may have failed in service later. Overall you probably will rewind more motors if you do hi-pot testing, but you will also have less in-service failures. You have to weigh these against each other. In our case it is a no-brainer... cost of in-service failure of these particular motors can be approx 6 million dollars. Cost of a failure during test at plant outage requiring rewind is approx 1/10 of that (we have spare motor on-hand). We can afford to fail roughly 10 motors during testing if it prevents one in-service failure.