Εθνικό Μετσόβιο Πολυτεχνείο National Technical University of Athens Aerodynamics & Aeroelasticity: Applications Σπύρος Βουτσινάς / Spyros Voutsinas
Άδεια Χρήσης Το παρόν εκπαιδευτικό υλικό υπόκειται σε άδειες χρήσης Creative Commons. Για εκπαιδευτικό υλικό, όπως εικόνες, που υπόκειται σε άδεια χρήσης άλλου τύπου, αυτή πρέπει να αναφέρεται ρητώς. Aerodynamics & Aeroelasticity: Applications 2
The basic modes at stand-still Yaw and Tilt coupled rotor-flap tower modes 1 st asymmetric lag mode Aerodynamics & Aeroelasticity: Applications 3
The basic modes at stand-still 10,00 9,00 8,00 7,00 6,00 5,00 4,00 3,00 2,00 multiples of the rotational frequency 1,00 Μηχανή 500kW stall 1 Μηχανή 1300kW 2 stall Μηχανή 500kW pitch 3 1st Tower bending mode (lateral) 1st Tower bending mode (windwise) Drive Train Torsion 1st assymetric flapping mode (yaw) 1st assymetric flapping mode (tilt) 1st symmetric flapping mode 1st lead-lag assymetric mode 1st assymetric mode 0,00 M1 M2 M3 M4 M5 M6 M7 M8 eigenfrequencies Aerodynamics & Aeroelasticity: Applications 4
Performance assessment flapwise bending moment at 0.308m (KNm) 3000 2500 2000 1500 1000 500 RAFT measurements 6 8 10 12 14 16 18 20 wind speed (m/s) shaft torque (KNm) 1750 1500 1250 1000 750 500 250 0 6 8 10 12 14 16 18 20 wind speed (m/s) RAFT measurements Performance assessment usually concerns the aerodynamic performance of the rotor These results allow to assess (or correct) the profile aerodynamic characteristics we use in comprehensive codes such as BEM. Aerodynamics & Aeroelasticity: Applications 5
Dynamic simulations Case 1 1P=0.5Hz Case 2 1P=0.5Hz Case 3 1P=0.23-0.55Hz Mode Calc. Meas. Calc. Meas. Calc. Meas. Μ1. 1 st tower bending mode (lateral) 0.94-0.73 0.77 0.48 - Μ2. 1 st tower bending mode (front-back) 0.95 0.94 0.88 0.80 0.49 0.51 Μ3. 1 st drive train torsion mode 1.15 1.16 0.94 0.97 1.49 - Μ4. 1 st asymmetric flap-yaw mode 1.69 1.70 1.54 1.44 1.75 - Μ5. 1 st asymmetric flap-tilt mode 1.81 1.80 1.61 1.53 1.81 - Μ6. 1 st symmetric flap mode 2.07 2.08 1.90 1.83 2.14 1.89 * Μ7. 1 st asymmetric rotor mode A 3.69 3.50 3.09 3.00 2.65 2.80 * Μ8. 1 st asymmetric rotor mode B 3.70-3.16-2.68 Aerodynamics & Aeroelasticity: Applications 6
Simulation input Nominal Power(kW) 500 Rotor Diameter (m) 37 Number of blades 3 rotational frequency (Hz) 0.50 Hub height (m) 35 Tower type Cylindrical Power control Stall Location of tower Upwind Κιβώτιο Ταχυτήτων Generator Yes Asynchronous U V W (m/s) (m/s) (m/s) σ u σ v σ w L u L v L w (m/s) (m/s) (m/s) (m) (m) (m) A u A v A w φ y a 13.20 0.00 0.00 1.15 1.04 0.75 50 17 8.5 8.0 8.0 8.0 0.0 0.05 Aerodynamics & Aeroelasticity: Applications 7
Azimuth averaged loads (deterministic) 500KW stall Uwind=13.2 m/s (yaw)=0.0 o Aerodynamics & Aeroelasticity: Applications 8
Azimuth averaged loads (deterministic) 500KW stall Uwind=13.2 m/s (yaw)=0.0 o Aerodynamics & Aeroelasticity: Applications 9
Azimuth averaged loads (deterministic) 500KW stall Uwind=13.2 m/s (yaw)=0.0 o 500KW stall Uwind=15.4 m/s (yaw)=-6.0 o Aerodynamics & Aeroelasticity: Applications 10
10.1 m/s, yaw=-58.9, wind shear a=0.143 9.1 m/s, yaw=-6.4, wind shear a=0.137 Aerodynamics & Aeroelasticity: Applications 11
Load spectra Mode description Calc. Meas. Lateral Tower bemding mode 0.94 - Windwise Tower bending 0.95 0.94 mode Torsional mode 1.15 1.16 Assymetric flap (yaw) 1.69 1.70 Assymetric flap (tilt) 1.81 1.80 Symmetric flap 2.07 2.08 Asymmetric edge 3.69 3.50 Asymmetric edge 3.70 - Aerodynamics & Aeroelasticity: Applications 12
Load spectra Mode description Calc. Meas. Lateral Tower bemding mode 0.94 - Windwise Tower bending 0.95 0.94 mode Torsional mode 1.15 1.16 Assymetric flap (yaw) 1.69 1.70 Assymetric flap (tilt) 1.81 1.80 Symmetric flap 2.07 2.08 Asymmetric edge 3.69 3.50 Asymmetric edge 3.70 - Aerodynamics & Aeroelasticity: Applications 13
Fatigue loads Aerodynamics & Aeroelasticity: Applications 14
Fatigue loads The effect of design L eq i L N m i eq n i 1/ m Normalized L eq 100 Leq 3 R σ u Aerodynamics & Aeroelasticity: Applications 15
Fatigue loads The effect of wind conditions Aerodynamics & Aeroelasticity: Applications 16
End of presentation Aerodynamics & Aeroelasticity: Applications 17
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