POLITECNICO DI TORINO, Department of Energy
Course: 01TVKND Wind and Ocean Energy Plants
Prof. F. Spertino
Numerical exercises about the single-phase equivalent circuit of DFIG
1. The DFIG specifications for a wind turbine are: rated voltage (line to line) Unom = 690 V; frequency
f= 50 Hz; stator resistance Rstat= 0.058 Ω; rotor resistance R’rot= 0.047 Ω; leakage reactance of
stator-rotor XDsr= 0.126 Ω; slip s= -0,05; # of magnetic poles: 4; apparent resistance of electronic
converter R’app= 0,097 Ω. Calculate: angular speed of the rotor; air-gap power and mechanical
power; BEC power injected into the grid; generator efficiency; generated power. (3 pts)
Results
Uphase
omega rot
It
Pgap
Pmech
Pjstat
Pjrot
Pconv
eta
Pgen
398,37
1575
141,03
-171835
-180427
3461
2804
5787
96,53%
-174162
V
rpm
A
W
W
W
W
W
W
2. The DFIG specifications for a wind turbine are: rated voltage (line to line) Vnom=690 V; # of pole
pairs pp=3; stator resistance Rstat= 0,0026 Ω; rotor resistance R’rot=0,0031 Ω; leakage reactance of
stator-rotor XDsr=0,074 Ω; slip s=0.185; apparent resistance of electronic converter R’app= -0,035
Ω (BEC parameter). Calculate: angular speed of the rotor; mechanical power; gap power;
generator efficiency; BEC power arriving from the grid. (3 pts)
POLITECNICO DI TORINO, Department of Energy
Course: 01TVKND Wind and Ocean Energy Plants
Prof. F. Spertino
Results
omega rot
It
Pgap
Pmech
Pjstat
Pjrot
Pconv
eta
Pgen
815
2150,40
-2392093
-1949556
36069
43005
-485542
95,94%
-1870482
rpm
A
W
W
W
W
W
W