BuckBee said:
I have a rectifier to convert to DC then a buck converter to drop the voltage down to a consistent 48V
You misunderstand the situation. AC motors are inductive. Parallel capacitor(s) are used to compensate the Power Factor, PF, of an AC motor, to get the phase of the current close to the phase of the applied voltage.
If an induction motor is overcompensated for PF, by adding too much capacitance, it becomes an induction generator when the AC supply is disconnected. Motor momentum and the LC resonance, can produce a damaging over-voltage.
Without any load, and at an RPM just a few % above LC resonance, the AC voltage generated may rise to the point where it can damage the induction generator and the capacitor insulation.
BuckBee said:
The DC motor is 2500 RPM and the AC generator is 1350 RPM so sufficiently above synchronous speed
By synchronous speed I refer to the resonant frequency of the motor inductance with the parallel capacitance. If the motor capacitor was a series starting capacitor, which normally determines the direction of rotation, then it will be insufficient for parallel resonance of the main winding.
BuckBee said:
I'm not sure abut the locked rotor.
The locked rotor test measures the current when connected to an AC voltage. That makes it possible to calculate the reactance, and so the inductance of the motor. The test must be done quickly as the current is the higher starting current. Once you know the inductance you can calculate the capacitance necessary for resonance at the synchronous RPM. Only at RPMs higher than synchronous does it become a generator.
BuckBee said:
… one guy just adds capacitors until it works ...
Adding more capacitance, lowers the resonant frequency, until that synchronous frequency is below the driving RPM, when it begins to generate.
BuckBee said:
... the other guys uses three 20mF capacitors in a delta configuration
The delta configuration is used with a three phase motor. That is the easiest to work with because the three windings at 120° on the motor are all the same.
With a single phase motor there is a main winding, and a starting winding at 90° that is normally driven through a series capacitor. The combination of the two fields makes a directional rotating magnetic field that drags the armature around in the required direction while starting.
BuckBee said:
I'm also not sure if I have the capacitors wired correctly and if they should go directly to the two power terminals on the AC motor or any of the other terminals?
As a motor you would use a parallel run capacitor to adjust the power factor.
You will use a series starter capacitor on the other winding to start it spinning in the required direction.
As a generator you will use parallel capacitors to set the synchronous speed in RPM.
If you load an induction generator while starting, it may overdamp and so prevent the resonance needed to excite the generator.
If you overload an induction generator while it is operating, you will draw away the excitation energy, kill the field, so it will stop generating.
The ideal induction generator is operated a few percent above synchrous while connected to and excited by the three phase grid. Self excited induction generators are more precarious and need to be carefully managed.