Their advantages,disadvantages comparison table?
V/f control is simply the control of the voltage and frequency applied to an AC motor such that the relationship between voltage and frequency is that the ratio of voltage to frequency is a constant. V/f control is often enhanced by adding “boost,” increasing the V/f ratio at the low end of the frequency range. V/f control would not be considered to be torque control although some protective torque limiting method is often included. Control methods that emulate the armature current regulation control strategy of a DC motor are called flux vector control, field orientation control, or direct torque control. These control strategies mathematically model the motor and estimate its performance by measuring the motor current and the instantaneous vector relationship between the applied voltage and the current. A motor shaft speed and position sensor may be used to determine the instantaneous rotor speed and position. Vector control systems are often called “sensorless vector” when a shaft speed and position sensor is not used. Vector control can provide torque control that allows a torque reference to be set and the delivered torque to be held at the set value with the motor being determined by the torque delivered and the characteristics of the load as long as the drive is within rated limits. The details of the control implementation are generally not fully disclosed by the manufacturers. Since drive performance is affected by the characteristics of the load, manufacturers do not generally provide specific performance information. However, there is a lot of application information available form drive manufacturers. Detailed technical papers are published by the IEEE, but it not always possible to determine which products, if any, implement techniques discussed in IEEE papers.
These are terms used in vfd's except FOC, I've no idea what that means. The other terms are not comparable anyway. Try looking at manuals for various manufacturer's vfd's such as ABB, Toshiba, etc