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9/11/2012. EE533Lecture3F05. 2. Transformers. Two- and Three-winding transformer modelsThree winding ( Auto with delta tertiary most common in transmission)Parameters Regulating TransformersModels and Performance. 9/11/2012. EE533Lecture3F05. 3. Transformers. Two- and Three-winding transformer
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1. 9/11/2012 EE533Lecture3F05 1
2. 9/11/2012 EE533Lecture3F05 2 Transformers Two- and Three-winding transformer models
Three winding ( Auto with delta tertiary most common in transmission)
Parameters
Regulating Transformers
Models and Performance
3. 9/11/2012 EE533Lecture3F05 3 Transformers Two- and Three-winding transformer models (per unit nominal tap)
4. 9/11/2012 EE533Lecture3F05 4 Transformer Parameters Three winding example ( Glover Sarma Chapter 3)
Short circuit (Heat Run) test
5. 9/11/2012 EE533Lecture3F05 5 Transformer Parameters Three winding example ( Glover Sarma Chapter 3)
6. 9/11/2012 EE533Lecture3F05 6 Transformer Parameters Three winding example ( Glover Sarma Chapter 3)
7. 9/11/2012 EE533Lecture3F05 7 Regulating Transformer Taps
Transformers are equipped with load and no load tap changers
On large units the tap changer is a separate unit
Phase shifting
On three phase transformers tap changers can be wired to effect phase shift
In per phase models of balanced three-phase transformers we can think of the transformer as having a complex per unit turns ration a
8. 9/11/2012 EE533Lecture3F05 8 Regulating Transformer
9. 9/11/2012 EE533Lecture3F05 9 Regulating Transformer
10. 9/11/2012 EE533Lecture3F05 10 Transformer Model
11. 9/11/2012 EE533Lecture3F05 11 Off- Nominal Tap Example Three phase 500 MVA 13.8-345 kV Zt=j0.05 pu
32x5/8% taps for ±10% on H side
- at -10% a=1/0.9 steps down secondary voltage
-j20 j22.22
Y =
j22.22 -j24.69
12. 9/11/2012 EE533Lecture3F05 12 Off- Nominal Tap Example Three phase 500 MVA 13.8-345 kV Zt=j0.05 pu
32x5/8% taps for ±10% on H side
- at -10% a=1/0.9 steps down secondary voltage
-j20 j22.22
Y =
j22.22 -j24.69
13. 9/11/2012 EE533Lecture3F05 13 Phase Shift Example Three phase 500 MVA 345-345 kV Zt=j0.1 pu
±30 deg shift
Assume V1= 1/d V2=1/0
I1= ( V1-V2)/j0.1 I2=(V1-V2/?)/j0.1
I1+I2= 1
14. 9/11/2012 EE533Lecture3F05 14 Phase Shift Example I1-I2=(V2/? – V2)/j0.1 I1+I2=1
I2= (1- (1/ ? – 1)/j0.1)/2
S2=V2I2*=(1- (1/ ? – 1)/j0.1)/2
15. 9/11/2012 EE533Lecture3F05 15 Transmission Lines
16. 9/11/2012 EE533Lecture3F05 16 Transmission Lines
17. 9/11/2012 EE533Lecture3F05 17 Transmission Lines
18. 9/11/2012 EE533Lecture3F05 18 Transmission Lines
19. 9/11/2012 EE533Lecture3F05 19 Transmission Lines
20. 9/11/2012 EE533Lecture3F05 20 Transmission Lines
21. 9/11/2012 EE533Lecture3F05 21 Transmission Lines
22. 9/11/2012 EE533Lecture3F05 22 FACTS Devices
23. 9/11/2012 EE533Lecture3F05 23 HVDC Line and and Back-Back dc terminals
24. 9/11/2012 EE533Lecture3F05 24 HVDC Line and and Back-Back dc terminals
25. 9/11/2012 EE533Lecture3F05 25 Thyristor Switched Capacitor
26. 9/11/2012 EE533Lecture3F05 26 Thyristor Switched Capacitor
27. 9/11/2012 EE533Lecture3F05 27 Thyristor Controlled Reactor
28. 9/11/2012 EE533Lecture3F05 28 Voltage Source Converter
