A single phase motor is made up of pairs of poles(windings) with the start windings straddling the run winding pairs, some times called a split phase motor the capacitor is either switched out fairly soon after starting or can be kept in, in a cap-run motor.
For heavy starting loads, like compressor, it is usuall to see cap start motors only. Are you sure there is no switch in this motor?
I see you mention the double cap motor
Is it the start cap you are blowing?
Al.