Nonlinear Enhanced Control for Wind Energy Generation System-Based Permanent Magnet Synchronous Generator
Abstract
:1. Introduction
- The NBA is utilized for wind system-based PMSGs to ensure MPPT, to regulate DC-link voltage, to control powers exchanged with the grid and to ensure the UPF under diverse functioning conditions;
- Improvement in response time, reference tracking precision and reduction in overshoot;
- Attainment of a high level of robustness against variations of parameters;
- The WEGS’s supervision can deal with low voltage drop conditions and model uncertainties;
- The pitch angle system proposed can track the reference value of the speed and limit the captured wind energy if wind speeds are high;
- Using the Lyapunov stability theory, some adequate conditions have been derived that guarantee the global asymptotical stability of the system.
2. Modelling of WEGS
2.1. Wind Turbine (WT)
2.2. Model of Generator and B2B Two-Level Converters
- -
- Mechanical model:
- -
- Electrical model:
2.3. Model of GSC
3. Proposed Control of the WEGS
3.1. Control of MSC
3.2. Control of GSC
3.3. Global Stability Analysis of the Presented Strategy
3.4. Pitch Control Approach
4. Performance Evaluation
4.1. Scenario 1: Performances of the Presented Methods Using Varying Wind Speed
4.2. Scenario 2: Impact of Parameter Variations
4.3. Scenario 3: Performance of the Proposed Methods under Grid Voltage Sag Conditions
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Nomenclature
Symbol | Designation |
Aerodynamic power of the wind turbine | |
Air density | |
Coefficient of power conversion | |
Speed of the wind | |
Ratio between the speed of the blade | |
Radius of the WT blade | |
Rotor angular speed | |
Electrical rotating velocity of the PMSG | |
Turbine’s torque | |
Speed of the blades | |
Pitch Angle (PA) of the blade | |
Reference of speed | |
Stator voltages | |
d-q axis stator currents | |
Stator resistance | |
Stator reactance of the PMSG | |
Peak flux of the PMSG | |
Number of pole pairs | |
Electromagnetic torque | |
Total moment of inertia of the system | |
Coefficient of viscous friction | |
Grid voltage component voltages | |
Line currents | |
, | Filter inductance and filter resistance |
, | Grid voltage components in the d-axis and q-axis voltage components |
Grid voltage components in the d-axis | |
GSC voltage components | |
Voltage of DC link | |
Electrical frequency | |
Current at the input of the inverter | |
Output current of the PMSG | |
d-axis current and q-axis current of grid | |
Capacitor of DC link | |
Abbreviations | |
WEGS | Wind Energy Generation System |
PMSG | Permanent Magnet Synchronous Generator |
MPPT | Maximum Power Point Tracking |
NBA | Nonlinear Backstepping Approach |
VC | Vector Controller |
IG | Induction Generator |
DFIG | Doubly Fed Induction Generator |
BTBC | Back-to-Back Converter |
UPF | Unity Power Factor |
VCA | Vector Control Approach |
LC | Linear Controller |
PI | Proportional Integral |
SMC | Sliding Mode Control |
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Parameter | Value |
---|---|
, rated power | 2 (MW) |
, rated mechanical speed | 2.57 (rd/s) |
, stator resistance | 0.008 (Ω) |
, stator d-axis inductance | 0.0003 (H) |
, flux density | 3.86 (wb) |
, pole pairs | 60 |
Parameter | Value |
---|---|
, air density | 1.08 kg/m3 |
, area swept by blades | 4775.94 m2 |
, base wind speed | 12.4 m/s |
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Errami, Y.; Obbadi, A.; Sahnoun, S.; Aoutoul, M. Nonlinear Enhanced Control for Wind Energy Generation System-Based Permanent Magnet Synchronous Generator. Sustainability 2024, 16, 7374. https://doi.org/10.3390/su16177374
Errami Y, Obbadi A, Sahnoun S, Aoutoul M. Nonlinear Enhanced Control for Wind Energy Generation System-Based Permanent Magnet Synchronous Generator. Sustainability. 2024; 16(17):7374. https://doi.org/10.3390/su16177374
Chicago/Turabian StyleErrami, Youssef, Abdellatif Obbadi, Smail Sahnoun, and Mohssin Aoutoul. 2024. "Nonlinear Enhanced Control for Wind Energy Generation System-Based Permanent Magnet Synchronous Generator" Sustainability 16, no. 17: 7374. https://doi.org/10.3390/su16177374