Can a 3 phase brushless DC motor run with a servo motor driver?
Is a 3 phase brushless DC motor same as servo motor?

 

In a single word, no. BLDC motors use a system of feedback (usually but not always hall sensors) to commutate the electric to the stator of the motor. The sensors are to keep the stator magnetic polarity in sync with the rotor magnetic polarity.

Servo motor is a widely used term. I assume you mean a servo motor like used in a machine. These are true AC motors that use a position sensor to move the desired angle of rotation.

 

A BLDC motor with the proper feedback device can be used as a Servo motor. The term Servo is widely used but usually denotes that a moving member will respond with a degree of accuracy to an external command. There are velocity servo systems such as the cruise control on your car and there are position servo systems that control the finite positioning of the moving member such as the flight controls on an airplane. Many industrial robots use BLDC motors as the prime moving force.