is a 20 amp fuse the correct max rating of the initial non-time delay fuse for the branch -circuit short-circuit protection of a 1 hp 3 phase 208 volt squirrel cage motor
My guess: Since a 208 3? squirrel cage motor is rated by 430.250 (NEC-2002 430.150) at 4.6 amps, and per table 430.52 you fuse it at 300%, giving us a total of 13.8 amps.
A 15 amp fuse would be the more proper choice, in my barely educated opinion.
A non time delay fuse often results in a larger fused disconnet, nusiance tripping, and they are hard to find. I'll size a time delay fuse at 125% or so.