Consider a Doubly fed Induction Generator (DFIG) with the mechanical power v/s rotor speed characteristics. Consider the gearbox ratio=1:100, Stator poles=4, Grid Frequency=60 Hz, and generator rated at1.5MW. The generator is rated at1.5MW, so when wind speeds are greater than11 m/s, the generator power can be kept constant at1.5MWby maintaining a rated torque and varying the rotor speed (pitch angle control). Fig. 8 Output power for different values of wind speed(m/s). Calculate the unknown mechanical and power variables shown in the table below for different wind speeds. [ Note: you can use the provided excel spreadsheet to complete the table and only attach a screenshot for the submission]. Pm(MW) - Mechanical Power Input [MW] wm(RPM) - low speed shaft speed in rotations/minute(rpm)wm(rad/sec)- low speed shaft speed in radian/sec(rad/sec)wt(RPM) - high speed shaft speed in rotations/minute(rpm)wt(rad/sec)- high speed shaft speed in radian/sec(rad/sec)Tm(Nm) - low speed shaft torque in Newton-meter(N−m)Tt(Nm)- high speed shaft torque in Newton-meter (N-m) ws(RPM) - synchronous speed in rotations/minute (rpm) ws(rad/sec)−synchronous speed in radian/sec(rad/sec)Tem(Nm)- Electromagnetic torque in Newton-meter(Nm)Ps(MW) - Generator Stator Output [MW]Pr(MW)-Generator Rotor Input [MW] Pg(MW) - Grid Power Output [MW] s- slip between−1to 1
