a) The slip, and rotor mechanical and electrical speeds b) The stator and rotor currents c) The mechanical power and torque

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A 2.3 MW, 690 V, 50 Hz squirrel cage induction generator (SCIG) is used in a fixed-speed wind energy
conversion system (WECS). The SCIG is directly connected to the grid of 690 V/50 Hz. For a given wind
speed, the generator operates at the speed of 1508 rpm, at which the rotational losses of the generator are 13
kW, the generator parameters are given as
Table B-1. 2.3 MW, 690 V, 50 Hz squirrel cage induction generator (SCIG)
parameters
Generator Type
SCIG, 2.3 MW, 690 V, 50 Hz
Rated Output Power
Rated Mechanical Power
2.30 MW
2.3339 MW
1.0 pu
1.0 pu
Rated Apparent Power
Rated Line-to-line Voltage
Rated Phase Voltage
Rated Stator Current
2.59 MVA
690 V (rms)
398.4 V (rms)
2168 A (rms)
1.0 pu
1.0 pu
1.0 pu
Rated Stator Frequency
50 Hz
Rated Power Factor
0.888
Rated Rotor Speed
Rated Slip
1512 rpm
1.0 pu
-0.008
Number of Pole Pairs
2
Rated Mechanical Torque
14.74 kN-m
1.0 pu
Table B-1. Continued
Generator Type
SCIG, 2.3 MW, 690 V, 50 Hz
Rated Stator Flux Linkage
Rated Rotor Flux Linkage
Stator Winding Resistance, R,
Rotor Winding Resistance, R,
Stator Leakage Inductance, L,
Rotor Leakage Inductance, L,
Magnetizing Inductance, Lm
Moment of Inertia, J
Inertia Time Constant, H
Base Flux Linkage, Ag
Base Impedance, ZB
Base Inductance, Lâ
Base Capacitance, Câ
1.2748 Wb (rms)
1.2096 Wb (rms)
1.102 mN
1.0053 pu
0.9539 pu
0.006 pu
0.008 pu
1.497 m2
0.06492 mH
0.111 pu
0.111 pu
3.6481 pu
0.06492 mH
2.13461 mH
1200 kg-m²
5.8078 sec
1.2681 Wb (rms)
0.1838 N
1.0 pu
1.0 pu
1.0 pu
1.0 pu
0.58513 mH
17316.17 µF
Note: H = J(„}/(2Sg)
Transcribed Image Text:A 2.3 MW, 690 V, 50 Hz squirrel cage induction generator (SCIG) is used in a fixed-speed wind energy conversion system (WECS). The SCIG is directly connected to the grid of 690 V/50 Hz. For a given wind speed, the generator operates at the speed of 1508 rpm, at which the rotational losses of the generator are 13 kW, the generator parameters are given as Table B-1. 2.3 MW, 690 V, 50 Hz squirrel cage induction generator (SCIG) parameters Generator Type SCIG, 2.3 MW, 690 V, 50 Hz Rated Output Power Rated Mechanical Power 2.30 MW 2.3339 MW 1.0 pu 1.0 pu Rated Apparent Power Rated Line-to-line Voltage Rated Phase Voltage Rated Stator Current 2.59 MVA 690 V (rms) 398.4 V (rms) 2168 A (rms) 1.0 pu 1.0 pu 1.0 pu Rated Stator Frequency 50 Hz Rated Power Factor 0.888 Rated Rotor Speed Rated Slip 1512 rpm 1.0 pu -0.008 Number of Pole Pairs 2 Rated Mechanical Torque 14.74 kN-m 1.0 pu Table B-1. Continued Generator Type SCIG, 2.3 MW, 690 V, 50 Hz Rated Stator Flux Linkage Rated Rotor Flux Linkage Stator Winding Resistance, R, Rotor Winding Resistance, R, Stator Leakage Inductance, L, Rotor Leakage Inductance, L, Magnetizing Inductance, Lm Moment of Inertia, J Inertia Time Constant, H Base Flux Linkage, Ag Base Impedance, ZB Base Inductance, Lâ Base Capacitance, Câ 1.2748 Wb (rms) 1.2096 Wb (rms) 1.102 mN 1.0053 pu 0.9539 pu 0.006 pu 0.008 pu 1.497 m2 0.06492 mH 0.111 pu 0.111 pu 3.6481 pu 0.06492 mH 2.13461 mH 1200 kg-m² 5.8078 sec 1.2681 Wb (rms) 0.1838 N 1.0 pu 1.0 pu 1.0 pu 1.0 pu 0.58513 mH 17316.17 µF Note: H = J(„}/(2Sg)
Using the induction generator equivalent circuit shown in the following figure,
ī, R,
jXr
R,Is
ī,
Im
v,
jXm3
Stator circuit
Rotor circuit
determine the followings and elearly write your calculation steps in the answers:
a) The slip, and rotor mechanical and electrical speeds
b) The stator and rotor currents
c) The mechanical power and torque
d) The stator and rotor winding losses
e) The generator efficiency and power factor
f) The stator and rotor flux linkages
Transcribed Image Text:Using the induction generator equivalent circuit shown in the following figure, ī, R, jXr R,Is ī, Im v, jXm3 Stator circuit Rotor circuit determine the followings and elearly write your calculation steps in the answers: a) The slip, and rotor mechanical and electrical speeds b) The stator and rotor currents c) The mechanical power and torque d) The stator and rotor winding losses e) The generator efficiency and power factor f) The stator and rotor flux linkages
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