Here's my guess:
When the amp turns on, your AC line voltage sags for a very short period due to the inrush current which will cause a glitch with the Krell processor.
Once the processor experiences a glitch, it can do strange things like being locked up or resetting itself which the Krell seems to be doing by shutting down.
You don't have this problem when the amp is turned on first since the line voltage has recovered by the time you turn the Krell on. You can verify if this is the case by plugging a lamp in the same outlet as the amp and see if the lamp dims briefly when you turn the amp on.
When the amp turns on, your AC line voltage sags for a very short period due to the inrush current which will cause a glitch with the Krell processor.
Once the processor experiences a glitch, it can do strange things like being locked up or resetting itself which the Krell seems to be doing by shutting down.
You don't have this problem when the amp is turned on first since the line voltage has recovered by the time you turn the Krell on. You can verify if this is the case by plugging a lamp in the same outlet as the amp and see if the lamp dims briefly when you turn the amp on.