Nonlinear Control of a Doubly Fed Generator Supplied by a Current Source Inverter
Abstract
:1. Introduction
2. Doubly Fed Generator System
3. Generator Model
3.1. Vector Model of the Machine
3.2. Multiscalar Z-Type Model of the Machine
4. Active and Reactive Power Control System
5. Model and Simulation Results
- (1)
- (2)
- Changes of the reference active and reactive powers—Figure 6;
- (3)
- DFIG system behavior during changes of the rotor speed from under-synchronous to over-synchronous speed with constant reference active and reactive powers—Figure 7.
- (4)
- DFIG system behavior during changes of the active and reactive powers with constant driven torque—Figure 8.
6. Conclusions
Author Contributions
Funding
Conflicts of Interest
Nomenclature
Rs, Rr | stator and rotor resistances; |
Ls, Lr | stator and rotor inductances; |
Lm | mutual inductance; |
J | moment of rotor inertia; |
Tdr | drive torque; |
ωr, z11 | pulsation of reference frame; |
ωa | mechanical speed; |
sp, sq | stator active and reactive powers; |
z12, z22, z21 | Z-type multi-scalar variables; |
ur1, ur2, usi1, usi2 | Z-type auxiliary multi-scalar variables; |
m1, m2 | control variables; |
id | DC-link current; |
ed, ud | DC-link voltages; |
Rd, Ld | Resistance and inductance of DC-link choke; |
Cm | output filter capacitance. |
Appendix A
Symbol | Quantity | Values |
---|---|---|
Rs | stator resistance | 2.833 Ω/0.067 p.u. |
Rr | rotor resistance | 2.867 Ω/0.068 p.u. |
Lm | magnetizing inductance | 0.15 H/1.123 p.u. |
Ls, Lr | stator and rotor inductance | 0.164 H/1.1227 p.u |
Lσ | leakage inductance | 0.014 H/ |
Pn | nominal power | 2 kW |
Ins | nominal stator current | 5.5 A |
Inr | nominal rotor current | 3.4 A |
Un | nominal stator voltage | 400 V |
n | nominal rotor speed | 910 rpm |
f | nominal frequency | 50 Hz |
r | turn ratio Ns/Nr | 1 |
Ld | choke inductance | 6.2 mH/0.05 p.u |
Cm | filter capacitance | 280 uF/0.35 p.u |
Ub = Un | reference voltage | 400 V |
Ins | reference current | 9.52 A |
Sb | reference power | 3810 VA |
Symbol | Quantity | Values |
---|---|---|
kpP | proportional gain for active power controller | 1.5 |
kiP | integral gain for active power controller | 0.15 |
kpQ | proportional gain for reactive power controller | 1.5 |
kiQ | integral gain for reactive power controller | 0.15 |
kp12 | proportional gain for z12 variable controller | 2.5 |
ki12 | integral gain for z12 variable controller | 0.5 |
kp22 | proportional gain for z22 variable controller | 2.5 |
ki22 | integral gain for z22 variable controller | 0.5 |
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Blecharz, K.; Morawiec, M. Nonlinear Control of a Doubly Fed Generator Supplied by a Current Source Inverter. Energies 2019, 12, 2235. https://doi.org/10.3390/en12122235
Blecharz K, Morawiec M. Nonlinear Control of a Doubly Fed Generator Supplied by a Current Source Inverter. Energies. 2019; 12(12):2235. https://doi.org/10.3390/en12122235
Chicago/Turabian StyleBlecharz, Krzysztof, and Marcin Morawiec. 2019. "Nonlinear Control of a Doubly Fed Generator Supplied by a Current Source Inverter" Energies 12, no. 12: 2235. https://doi.org/10.3390/en12122235