IIRC, my old copy of the Star Trek technical manual rates phasers all the way from the hand held devices up to ship based weaponry. Phasers for planetary defence were rated 10X, which I guess meant off the scale.
As Doctor Strangelove noted, if you're not going to move your weapon, you don't need to worry about how big it is. Doubtless there'd be very discrete looking, but horribly powerful devices dotted over Earth and the Moon. No need to worry about a power plant sharing power between engines and lifesupport, just a phaser bank with a large power source for it and nothing else.
As Doctor Strangelove noted, if you're not going to move your weapon, you don't need to worry about how big it is. Doubtless there'd be very discrete looking, but horribly powerful devices dotted over Earth and the Moon. No need to worry about a power plant sharing power between engines and lifesupport, just a phaser bank with a large power source for it and nothing else.