Nah doesnt exist
capacitive start motors start by themselves however a normal single phase induction motor requires a starter motor to 'kick-start' the motor into action.
This depends on the voltage, and whether it is a three phase or single phase transformer.
You never need a starter for a three-phase motor.
By having a transformer with 3 phase input and single phase out put
A Scott transformer converts 3-phase to 2-phase and vice versa, so if you get a Scott transformer it can convert a 2-phase supply into 3-phase for the motor. Caution: the 2-phase supply has to be a genuine 2-phase as defined, with 90 degrees phase between the two phases, and these are extremely uncommon. A Scott transformer CANNOT be used with the split-phase supply found in many US homes which have a 240 v single-phase transformer with the centre earthed and connected to a neutral wire to produce two 120 v circuits.
Harmonics are really not needed in single phase transformers.
Your question is rather vague. If you are asking what do you call a group of single-phase transformers, connected to supply three phase, then the answer is a 'three-phase transformer bank'.
A single-phase transformer works with a single-phase supply, while a 3-phase transformer is used with a 3-phase supply. A single-phase transformer has 2 wires on the primary and secondary (ignoring taps) while a 3-phase tansformer has 3 or 4 wires on the primary and secondary.
Single phase motor winding is often checked just by listening to the noise that the motor is making. An experienced person can tell if the motor is working at single phase or double phase.
Consult with the owner manual for the correct steps in sequence.
it have a water container. the water pressure in the container varies the self starter works.
By design are you going to wind the transformer yourself? In your design you need a 5:1 ratio. On the output side of the transformer any two legs of a three phase transformer is considered single phase voltage. Good luck on your project.