Robust Finite Control-Set Model Predictive Control for Power Quality Enhancement of a Wind System Based on the DFIG Generator
Abstract
:1. Introduction
2. Modeling of The Wind Turbine System with DFIG
2.1. Modeling of the DFIG
2.2. Converter and DC-Bus
3. Continuous-Time Dynamic Models of DFIG
4. FCS-MPC Strategy
5. Model Predictive Control
5.1. MPC Control for RSC
5.2. MPC Control for GSC
6. Simulation Results
7. Discussion
- The decoupling between the active and reactive powers of the stator is assured;
- The electromagnetic torque (Figure 6b) depends directly on the active power—its similar shape reflects this to that of the active power;
- The negative value of the stator power (Figure 6c) explains the operation of the machine in generator model;
- The reactive power is equal to zero (Figure 6d), indicating the uniqueness of the power factor;
- The quadrature rotor current varies linearly with with a negative coefficient described in the Equation (26), which is illustrated in Figure 6e;
- The direct rotor current depends on the stator reactive power —according to Figure 6f, the trend of the direct current has a constant value of about 5 A, due to the ratio /;
- The evolution of the rotor and stator currents (Figure 6g,h) in three-phase abc keeps a sinusoidal form, which implies a frequency of a value 50 Hz, which indicates a better quality of the energy injected into the network;
- The DC bus (Figure 6i) follows its reference value with a small error and an overrun of 8.3%.
- The decoupling between the active and reactive powers of the stator is assured;
- The electromagnetic torque (Figure 7b) depends directly on the active power—its similar shape reflects this to that of the active power;
- The negative value of the stator power (Figure 7c) explains the operation of the machine in generator mode;
- The reactive power is zero (Figure 7d), indicating the uniqueness of the power factor;
- The quadrature rotor current varies linearly with with a negative coefficient described in Equation (26), which is illustrated in (Figure 7e);
- The direct rotor current depends on the stator reactive power —according to Figure 7f, the trend of the direct current has a constant value of about 5 A, due to the ratio /;
- The evolution of the rotor and stator currents (Figure 7g,h) in three-phase abc keeps a sinusoidal form, which implies a frequency of a value 50 Hz, which implies a better quality of the energy injected into the network;
- The DC bus (Figure 7i) follows its reference value with a small error.
8. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Nomenclature
Rs, Rr | Resistances of the stator/rotor |
Rf, Lf | Resistances and inductance of a phase of the filter |
Lr, Ls | Inductances of the stator/rotor |
Lm | Generator magnetizing inductance |
Number of pole pairs in a generator | |
Ps, Pf | Active power at stator, and filter |
Qs, Qf | Reactive power to stator, and filter |
s, ψr | Flux of the stator/rotor |
Generator stator electrical angular frequency | |
Generator rotor electrical angular speed | |
Digital controller sampling time | |
ir(a,b,c), is(a,b,c) | Rotor and stator currents |
(vsd, vsq), (isd, isq) | d/q stator voltages and currents |
(vrd, vrq), (ird, irq) | d/q rotor voltages and currents |
(vfd, vfq), (ifd, ifq) | Voltages and currents at the RL filter |
Stator transient time constant | |
Total leakage coefficient | |
Stator and rotor coupling coefficients |
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PMSG Parameters | Wind Turbine Parameters | ||
---|---|---|---|
Power Generator Stator Resistance Rotor Resistance Stator inductance Rotor inductance DC Link Voltage | Ps = 1.5 Kw Rs = 4.85 Ω Rr = 3.805 Ω Ls = 274 mH Lr = 258 mH Vdc = 600 V | Radius of the turbine blade Density of air Tip speed Ratio Optimal Power Coefficient | R = 20 m ρ = 1.225 kg/m3 λopt = 8 Cp = 0.45 |
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Alami, H.E.; Bossoufi, B.; Mahfoud, M.E.; Bouderbala, M.; Majout, B.; Skruch, P.; Mobayen, S. Robust Finite Control-Set Model Predictive Control for Power Quality Enhancement of a Wind System Based on the DFIG Generator. Energies 2023, 16, 1422. https://doi.org/10.3390/en16031422
Alami HE, Bossoufi B, Mahfoud ME, Bouderbala M, Majout B, Skruch P, Mobayen S. Robust Finite Control-Set Model Predictive Control for Power Quality Enhancement of a Wind System Based on the DFIG Generator. Energies. 2023; 16(3):1422. https://doi.org/10.3390/en16031422
Chicago/Turabian StyleAlami, Houda El, Badre Bossoufi, Mohammed El Mahfoud, Manale Bouderbala, Btissam Majout, Paweł Skruch, and Saleh Mobayen. 2023. "Robust Finite Control-Set Model Predictive Control for Power Quality Enhancement of a Wind System Based on the DFIG Generator" Energies 16, no. 3: 1422. https://doi.org/10.3390/en16031422