Consider a 2.5 MW, 4000 V, 40 Hz salient pole PMSG wind energy conversion system (WECS).
The parameters of the generator are given in Table 1. The generator operates with an MPPT
scheme. At a wind speed of 6 m/s, the generator operates at 0.5pu rotor speed. At given wind
and generator speeds, the MTPA can be achieved at the q-axis current of 214.82 A (peak).
Table 1 PMSG Parameters
Table B-12 2.5MW/4000V/40Hz Salient Pole PMSG Parameters
Rated Mechanical Shaft Input Power 2.5 MW
Rated Apparent Power 3.383 MVA
Rated Line-to-line Voltage 4000 V (rms)
Rated Phase Voltage 2309.4 V (rms)
Rated Stator Current 485 A (rms)
Rated Stator Frequency 40 Hz
Rated Power Factor 0.739
Rated Rotor Speed 400 rpm
Number of Pole Pairs 6
Rated Mechanical Shaft Input Torque 59.6831 kN.m
Rated Rotor Flux Linkage 4.759 Wb (rms)
Stator Winding Resistance $R_s$ 24.25 m?
d-axis Synchronous Inductance $L_d$ 8.9995 mH
q-axis Synchronous Inductance $L_q$ 21.8463 mH
Neglecting rotational losses, calculate the following using MTPA control scheme:
(a) the generator mechanical input torque and power
(b) the dq-axis and rms stator currents
(c) the dq-axis and rms stator voltages
(d) the stator winding loss, optimal angle of stator current and power factor
(e) the stator active and reactive powers, and generator efficiency