I assume you went through the manual. They list a couple of steps to check at first (most are silly and I assume you checked them):
Power does not come on.
The electrical power cord is not plugged in. (A) Correctly connect the power cord.
The main power source has been interrupted during operation such as by a power outage (blackout), etc. (A) Please disconnect the power plug from the power outlet, and allow the projector to cool down at least 10 minutes, then turn the power on again.
Either there is no lamp and/or lamp cover, or either of these has not been properly fixed. (A) Please turn the power off and disconnect the power plug from the power outlet, and allow the projector to cool down at least 45 minutes. After the projector has sufficiently cooled down, please make confirmation of the attachment state of the lamp and lamp cover, and then turn the power on again.
If you are getting nothing (no LEDs, no fan), then I assume it is a power supply or control board that may have either been hit with a voltage spike during the brownout or the varying voltage was too much for the rectifiers to handle.
Owners manual doesn't show any internal workings .. there could be a fuse soldered on one of the boards (I have an old A&H mixer that had that). I've lost several PC power supplies during brown outs .. most likely during the power back on phase.