B.1 SQUIRREL CAGE INDUCTION GENERATORS. Table B-1. 2.3 MW ... 2.59 MVA. 690 V (rms). 398.4 V (rms). 2168 A (rms). 50 Hz. 0.888. 1512 rpm. -0.008. 2.
APPENDIX
B
GENERATOR PARAMETERS
This appendix provides detailed parameters for a number of generators used in case studies in various chapters and Appendix C. It is noted that all the paratmeters listed in this appendix are referred to the stator side.
B.1
SQUIRREL CAGE INDUCTION GENERATORS
Table B-1. 2.3 MW, 690 V, 50 Hz squirrel cage induction generator (SCIG) parameters Generator Type Rated Output Power Rated Mechanical Power Rated Apparent Power Rated Line-to-line Voltage Rated Phase Voltage Rated Stator Current Rated Stator Frequency Rated Power Factor Rated Rotor Speed Rated Slip Number of Pole Pairs Rated Mechanical Torque
SCIG, 2.3 MW, 690 V, 50 Hz 2.30 MW 2.3339 MW 2.59 MVA 690 V (rms) 398.4 V (rms) 2168 A (rms) 50 Hz 0.888 1512 rpm -0.008 2 14.74 kN-m
1.0 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu
1.0 pu (continued)
Power Conversion and Control of Wind Energy Systems. By B. Wu, Y. Lang, N. Zargari, and S. Kouro © 2011 the Institute of Electrical and Electronics Engineers, Inc. Published 2011 by John Wiley & Sons, Inc.
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320
APPENDIX B. GENERATOR PARAMETERS
Table B-1. Generator Type
Continued SCIG, 2.3 MW, 690 V, 50 Hz
Rated Stator Flux Linkage Rated Rotor Flux Linkage Stator Winding Resistance, Rs Rotor Winding Resistance, Rr Stator Leakage Inductance, Lls Rotor Leakage Inductance, L,r Magnetizing Inductance, Lm Moment of Inertia, J Inertia Time Constant, H Base Flux Linkage, AB Base Impedance, ZB Base Inductance, LB Base Capacitance, CB
1.2748 Wb(rms) 1.2096 Wb(rms) 1.102 mil 1.497 mil 0.06492 mH 0.06492 mH 2.13461 mH 1200 kgm 2 5.8078 sec 1.2681 Wb(rms) 0.1838 Í1 0.58513 mH 17316.17 M-F
1.0053 pu 0.9539 pu 0.006 pu 0.008 pu 0.111 pu 0.111 pu 3.6481 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu
Note: H = J(a>m)2l(2SB)
Table B-2. 1.45 MW, 575 V, 50 Hz SCIG parameters Generator Type Rated Output Power Rated Mechanical Power Rated Apparent Power Rated Line-to-line Voltage Rated Phase Voltage Rated Stator Current Rated Stator Frequency Rated Power Factor Rated Rotor Speed Rated Slip Number of Pole Pairs Rated Mechanical Torque Rated Stator Flux Linkage Rated Rotor Flux Linkage Stator Winding Resistance, Rs Rotor Winding Resistance, Rr Stator Leakage Inductance, Lh Rotor Leakage Inductance, Llr Magnetizing Inductance, Lm Base Flux Linkage, AB Base Impedance, ZB Base Inductance, LB Base Capacitance, CB
SCIG, 1.45 MW, 575 V, 50 Hz 1.45 MW 1.4707 MW 1.72 MVA 575 V (rms) 331.98V(rms) 1723 A (rms) 50 Hz 0.8439 1007.2 rpm -0.0072 3 13.944 kN-m 1.063 Wb (rms) 0.9757 Wb (rms) 1.354 mil 1.39 mil 0.1044 mH 0.0498 mH 1.77016 mH 1.0567 Wb (rms) 0.1922 il 0.61187 mH 16599.34 (j.F
1.0 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu
1.0 pu 1.006 pu 0.9233 pu 0.007 pu 0.0072 pu 0.1706 pu 0.0814 pu 2.8931 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu
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B.1 SQUIRREL CAGE INDUCTION GENERATORS
Table B-3. 3 MW, 3000 V, 60 Hz SCIG parameters Generator Type
SCIG, 3.0 MW, 3000 V, 60 Hz
Rated Output Power Rated Mechanical Power Rated Apparent Power Rated Line-to-line Voltage Rated Phase Voltage Rated Stator Current Rated Stator Frequency Rated Power Factor Rated Rotor Speed Rated Slip Number of Pole Pairs Rated Mechanical Torque Rated Stator Flux Linkage Rated Rotor Flux Linkage Stator Winding Resistance, Rs Rotor Winding Resistance, Rr Stator Leakage Inductance, Lls Rotor Leakage Inductance, Llr Magnetizing Inductance, Lm Base Flux Linkage, AB Base Impedance, ZB Base Inductance, LB Base Capacitance, CB
3.0 MW 3.0402 MW 3.36 MVA 3000 V (rms) 1732.1 V(rms) 646.1 A (rms) 60 Hz 0.8934 1812 rpm -0.0067 2 16.022 kN-m 4.6199 Wb (rms) 4.3916 Wb (rms) 16.623 mil 18.152 mii 0.782 mH 0.782 mH 27.168 mH 4.5944 Wb (rms) 2.6786 O 7.105 mH 990.3 M-F
1.0 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu
1.0 pu 1.0056 pu 0.9559 pu 0.0062 pu 0.0068 pu 0.1101 pu 0.1101 pu 3.8237 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu
Table B-4. 4 MW, 4000 V, 50 Hz SCIG parameters Generator Type Rated Output Power Rated Mechanical Power Rated Apparent Power Rated Line-to-line Voltage Rated Phase Voltage Rated Stator Current Rated Stator Frequency Rated Power Factor Rated Rotor Speed Rated Slip Number of Pole Pairs Rated Mechanical Torque Rated Stator Flux Linkage Rated Rotor Flux Linkage Stator Winding Resistance, Rs Rotor Winding Resistance, Rr
SCIG, 4.0 MW, 4000 V, 50 Hz 4.0 MW 4.0606 MW 4.842 MVA 4000 V (rms) 2309.4 V (rms) 698.88 A (rms) 50 Hz 0.8261 1510.5 rpm -0.007 2 25.671 kN-m 7.3917 Wb (rms) 6.7114 Wb (rms) 22.104 mil 23.1515 mil
1.0 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu
1.0 pu 1.0055 pu 0.913 pu 0.0067 pu 0.007 pu (continued)
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APPENDIX B. GENERATOR PARAMETERS
Table B-4.
Continued SCIG, 4.0 MW, 4000 V, 50 Hz
Generator Type Stator Leakage Inductance, L¡s Rotor Leakage Inductance, Llr Magnetizing Inductance, Lm Base Flux Linkage, AB Base Impedance, ZB Base Inductance, LB Base Capacitance, CB
1.698 mH 1.698 mH 33.597 mH 7.3511 Wb(rms) 3.3044 H 10.518 mH 963.29 u.F
0.1614pu 0.1614 pu 3.1942 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu
B.2 DOUBLY FED INDUCTION GENERATORS Table B-5. 1.5 MW, 690 V, 50 Hz doubly fed induction generator (DFIG) parameters Generator Type
DFIG, 1.5 MW, 690V, 50 Hz
Rated Mechanical Power Rated Stator Line-to-line Voltage Rated Stator Phase Voltage Rated Rotor Phase Voltage Rated Stator Current Rated Rotor Current Rated Stator Frequency Rated Rotor Speed Nominal Rotor Speed Range Rated Slip Number of Pole Pairs Rated Mechanical Torque Stator Winding Resistance, Rs Rotor Winding Resistance, Rr Stator Leakage Inductance, Lls Rotor Leakage Inductance, Lir Magnetizing Inductance, Lm Base Current, ¡B = 1.5 MW/(V3 x 690 V) Base Flux Linkage, AB Base Impedance, ZB Base Inductance, LB Base Capacitance, CB
1.5 MW 690 V (rms) 398.4 V (rms) 67.97 V (rms) 1068.2 A (rms) 1125.6 A (rms) 50 Hz 1750 rpm 1200-1750 rpm -0.1667 2 8.185 kN-m 2.65 mil 2.63 mil 0.1687 mH 0.1337 mH 5.4749 mH 1255.1 A (rms) 1.2681 Wb(rms) 0.3174 n 1.0103 mH 10028.7 p,F
1.0 pu 1.0 pu 0.1706 pu 0.8511 pu 0.8968 pu 1.0 pu 1.0 pu 0.686-1.0 pu
1.0 pu 0.0084 pu 0.0083 pu 0.167 pu 0.1323 pu 5.419 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu
Table B-6. 1 MW, 575 V, 60 Hz DFIG parameters Generator Type Rated Mechanical Power Rated Stator Line-to-line Voltage Rated Stator Phase Voltage Rated Rotor Phase Voltage
DFIG, 1.0 MW, 575 V, 60 Hz 1.0 MW 575 V (rms) 331.98 V (rms) 67.97 V (rms)
1.0 pu 1.0 pu 0.2047 pu
323
B.2 DOUBLY FED INDUCTION GENERATORS
Table B-6. Continued Generator Type
DFIG, 1.0 MW, 575 V, 60 Hz
Rated Stator Current Rated Rotor Current Rated Stator Frequency Rated Rotor Speed Nominal Rotor Speed Range Rated Slip Number of Pole Pairs Rated Mechanical Torque Stator Winding Resistance, Rs Rotor Winding Resistance, Rr Stator Leakage Inductance, Lls Rotor Leakage Inductance, Llr Magnetizing Inductance, Lm Base Current, IB = 1 MW/(V3 x 575 V) Base Flux Linkage, AB Base Impedance, ZB Base Inductance, LB Base Capacitance, CB
829.2 A (rms) 882.2 A (rms) 60 Hz 2160 rpm 1350-2160 rpm -0.2 2 4.421 kN-m 3.654 mi) 3.569 ran 0.1304 mH 0.1198 mH 4.12 mH 1004.1 A (rms) 0.8806 Wb (rms) 0.3306 fl 0.877 mH 8022.93 |xF
0.8258 pu 0.8786 pu 1.0 pu 1.0 pu 0.625-1.0 pu
1.0 pu 0.0111 pu 0.0108 pu 0.1487 pu 0.1366 pu 4.6978 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu
Table B-7. 5 MW, 950 V, 50 Hz DFIG parameters Generator Type Rated Mechanical Power Rated Stator Line-to-line Voltage Rated Stator Phase Voltage Rated Rotor Phase Voltage Rated Stator Current Rated Rotor Current Rated Stator Frequency Rated Rotor Speed Nominal Rotor Speed Range Rated Slip Number of Pole Pairs Rated Mechanical Torque Stator Winding Resistance, Rs Rotor Winding Resistance, Rr Stator Leakage Inductance, L¡s Rotor Leakage Inductance, L,r Magnetizing Inductance, Lm Base Current, ¡B = 5 MW/(V3 x 950 V) Base Flux Linkage, AB Base Impedance, ZB Base Inductance, LB Base Capacitance, CB
DFIG, 5.0 MW, 950 V, 50 Hz 5.0 MW 950 V (rms) 548.48 V (rms) 381.05 V (rms) 2578.4 A (rms) 3188.7 A (rms) 50 Hz 1170 rpm 670-1170 rpm -0.17 3 40.809 kN-m 1.552 mil 1.446 mil 1.2721 mH 1.1194 mH 5.5182 mH 3038.7 A (rms) 1.7459 Wb (rms) 0.1805 H 0.5746 mH 17634.9 jiF
1.0 pu 1.0 pu 0.6947 pu 0.8485 pu 1.0494 pu 1.0 pu 1.0 pu 0.573-1.0 pu
1.0 pu 0.0086 pu 0.008 pu 2.2141 pu 1.9483 pu 9.6044 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu
324
APPENDIX B. GENERATOR PARAMETERS
Table B-8. 6 MW, 4000 V, 50 Hz DFIG parameters Generator Type Rated Mechanical Power Rated Stator Line-to-line Voltage Rated Stator Phase Voltage Rated Rotor Phase Voltage Rated Stator Current Rated Rotor Current Rated Stator Frequency Rated Rotor Speed Nominal Rotor Speed Range Rated Slip Number of Pole Pairs Rated Mechanical Torque Stator Winding Resistance, Rs Rotor Winding Resistance, Rr Stator Leakage Inductance, Lh Rotor Leakage Inductance, Llr Magnetizing Inductance, Lm Base Current, IB = 6 MW/(V3 x 4000 V) Base Flux Linkage, AB Base Impedance, ZB Base Inductance, LB Base Capacitance, CB
DFIG, 6.0 MW, 4000 V,,50 Hz 6.0 MW 4000 V (rms) 2309.4 V (rms) 381.05 V (rms) 733.9 A (rms) 793.9 A (rms) 50 Hz 1170rpm 800-1170 rpm -0.17 3 48.971 kNm 26.86 mil 25.74 mil 0.23142 mH 0.2183 mH 25.908 mH 866.03 A (rms) 7.3511 Wb (rms) 2.667 Í1 8.488 mH 1193.66 U.F
1.0 pu 1.0 pu 0.165 pu 0.8474pu 0.9167 pu 1.0 pu 1.0 pu 0.684-1.0 pu
1.0 pu 0.0101 pu 0.0097 pu 0.0273 pu 0.0257 pu 3.0522 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu 1.0 pu
B.3 SYNCHRONOUS GENERATORS Table B-9. 2 MW, 690 V, 9.75 Hz nonsalient pole permanent magnet synchronous generator (PMSG) parameters Generator Type Rated Mechanical Power Rated Apparent Power Rated Line-to-line Voltage Rated Phase Voltage Rated Stator Current Rated Stator Frequency Rated Power Factor Rated Rotor Speed Number of Pole Pairs Rated Mechanical Torque Rated Rotor Flux Linkage Stator Winding Resistance, Rs cf-axis Synchronous Inductance, Ld
