Hi, olf20
The breaker may be weak or undersized and spiking due to in-rush & out-rush when the breaker trip's.
After the Power-Supply start-up/stabilizes, That's after the brown-out is over, lights back to normal.
How about a switch or relay to turn on your Drives & the 5 volt supply power.
Converted a bridge-port size mill with servos over to Gecko's with 75 volt power supply wired the relay to the E-Stop Button Reset.
Also depending on the size of your Capacitors maybe you only need one for needed filtering, That would decrease the in-rush time.
Not an expert hear.
Hope this Helps, Chip