Question

i've created a circuit which converts a square wave into a sine wave but i don't know if it actually works in real life. look for "square2sine inverter". or why don't you use an H bridge?

you can turn a 50% square wave signal into a sine wave by putting the signal into a resonant RLC circuit

You getting a power surge when the source changes directions but the motor has not made the change yet. The motor lags the source, you cannot fight that your source and motor will feel like it has been put in the reverse direction twice every rev. If you theoretically have a motor that has a locked rotor current of 2 amps peak, it should have a full load current of one half of a amp peak. Your actual motor, in this theoretical situation, has a full load current with surges 4 amps peak before heat loses, yet actual rms amperage from this 4 amp peak is most likely less than 1/8th of a amp rms. You setup would be good as a heater with built in motor.

Single phase/dc motor will need one inductor, 3 phase will need one inductor per lead, brushless controllers need a inductor per lead but not one on the sensor wire, may not work with brushless sensorless wiring(only power leads for rotation calculation). Match the inductor to source and load.

Thank u all for your reponsr