Foreword |
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xv | |
Preface |
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xvii | |
Author |
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xxi | |
1 Small Wind Turbines: A Technology for Energy Independence and Sustainable Agriculture |
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1 | (18) |
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1.1 Introduction: Why "Small" Wind Turbines? |
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1 | (9) |
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1.2 Why Not "Big" Wind Turbines? |
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10 | (3) |
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1.3 How Small Are Hence, "Small" Wind Turbines? |
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13 | (1) |
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1.4 Why Small Wind Turbines for Pumping Water? |
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13 | (1) |
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1.5 General Plan of This Book and Acknowledgments |
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14 | (2) |
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16 | (3) |
2 General Theory of Wind-Driven Machines |
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19 | (32) |
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19 | (3) |
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2.2 The Extension of Betz's Theorem to Vertical Axis Wind Turbines |
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22 | (3) |
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2.2.1 Discussion of the Extension of Betz's Theorem to Vertical Axis Turbines |
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24 | (1) |
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2.3 Notions on the Theory of Wing Sections |
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25 | (5) |
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2.4 Action of the Air on a Wing in Motion |
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30 | (7) |
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2.4.1 Lift, Drag, and Moment Coefficients |
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30 | (2) |
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2.4.2 Graphical Representation of the Aerodynamic Coefficients Cx and Cz |
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32 | (2) |
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2.4.2.1 Cartesian Representation of Cx, Cm, and Cz as a Function of the Pitch Angle |
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32 | (1) |
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32 | (1) |
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2.4.2.3 Lilienthal's Polar |
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33 | (1) |
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2.4.2.4 Mixed Representations |
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33 | (1) |
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2.4.3 Definitions and Terminology |
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34 | (3) |
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2.4.3.1 Solidity Coefficient, σ |
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34 | (1) |
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2.4.3.2 Specific Speed, λ |
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34 | (1) |
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2.4.3.3 Coefficient of Motor Torque, CM |
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35 | (1) |
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2.4.3.4 Coefficient of Axial Force, CF |
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35 | (1) |
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2.4.3.5 Coefficient of Power, Cp |
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35 | (1) |
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2.4.3.6 Relationships between Dimensionless Coefficients |
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36 | (1) |
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37 | (1) |
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2.5 Classification of Wind Turbines |
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37 | (9) |
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2.5.1 Vertical Axis Wind Turbines |
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38 | (1) |
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2.5.1.1 Reaction-Driven Turbines |
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38 | (1) |
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2.5.1.2 Aerodynamic Action Turbines |
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38 | (1) |
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38 | (1) |
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2.5.2 Horizontal Axis Wind Turbines |
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38 | (5) |
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38 | (3) |
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2.5.2.2 Slow Wind Turbines |
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41 | (2) |
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2.5.3 "Undefinable" Wind-Driven Machines |
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43 | (1) |
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2.5.4 Comparison between Different Types of Wind Turbines |
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44 | (2) |
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2.6 Accessory Devices of Wind Turbines |
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46 | (1) |
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47 | (2) |
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2.7.1 Application of Betz's Theorem |
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47 | (1) |
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2.7.2 Application of Dimensionless Coefficients |
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47 | (2) |
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49 | (2) |
3 Simplified Aerodynamic Theory for the Design of the Rotor's Blades |
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51 | (28) |
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3.1 Definition of the Problem |
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51 | (4) |
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3.1.1 Speed Loss Coefficient, a |
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53 | (1) |
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3.1.2 Coefficient of Specific Local Speed, λr |
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54 | (1) |
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3.1.3 Coefficient of Angular Speed, a' |
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54 | (1) |
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3.2 The Theory of the Annular Flow Tube with Vortical Trail |
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55 | (8) |
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3.3 The Theory of the Aerodynamic Forces on the Element of Blade |
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63 | (9) |
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3.3.1 Optimum Variation of the Angle theta |
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69 | (2) |
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3.3.2 Optimum Variation of the Product σlC2 |
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71 | (1) |
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3.3.3 Optimum Blade for Maximum Aerodynamic Efficiency |
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71 | (1) |
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72 | (3) |
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3.4.1 Variation of the Chord |
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72 | (1) |
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3.4.2 Relationship between Solidity, Specific Speed, and Efficiency of the Turbine |
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72 | (2) |
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3.4.2.1 Solidity and Specific Speed |
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73 | (1) |
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3.4.2.2 Solidity and Aerodynamic Efficiency |
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74 | (1) |
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3.4.3 Influence of the Fineness Coefficient of the Airfoil |
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74 | (1) |
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75 | (2) |
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3.5.1 Influence of the Induced Drag |
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75 | (5) |
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3.5.1.1 Classical Windmill for Water Pumping |
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75 | (1) |
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3.5.1.2 Multi-Blade Turbine |
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76 | (1) |
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3.5.1.3 A Three-Blade Fast Turbine |
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76 | (1) |
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3.5.1.4 Practical Conclusions |
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77 | (1) |
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77 | (2) |
4 Practical Design of Horizontal Axis Wind Turbines |
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79 | (34) |
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79 | (1) |
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4.2 The Method to Design the Rotor |
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80 | (10) |
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4.2.1 Pre-Dimensioning of the Diameter and Number of Blades |
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80 | (1) |
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4.2.1.1 Pre-Dimensioning Fast Turbines |
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80 | (1) |
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4.2.1.2 Pre-Dimensioning of Slow Turbines |
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81 | (1) |
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4.2.2 Dimensioning of the Yaw System: Vane or Rotor Conicity |
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81 | (3) |
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4.2.2.1 Orientation by Means of a Vane |
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82 | (1) |
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4.2.2.2 Orientation by Conicity |
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82 | (1) |
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4.2.2.3 Orientation by Means of a Servomotor |
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83 | (1) |
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4.2.3 Selection of the Most Suitable Airfoil for the Blades |
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84 | (4) |
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4.2.4 Division of the Blade in N Discrete "Differential Elements" |
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88 | (1) |
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4.2.5 Calculation of the Chord and Pitch Angle for Each Discrete Element |
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88 | (2) |
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4.2.5.1 Calculation of the Optimum Chord and Pitch Angle for Each Discrete Element |
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88 | (1) |
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4.2.5.2 Calculation of Sub-optimum Blades in Order to Facilitate the Handcrafted Construction |
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89 | (1) |
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4.2.6 Discrete Integration of the Tangential and Axial Forces along the Blade |
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90 | (1) |
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4.3 Analysis of the Aerodynamic Features and Construction Choices of the Rotor |
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90 | (13) |
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91 | (6) |
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4.3.1.1 Fixed Speed Rotor and Unlimited (or Very High Limit) Speed of Rotation |
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92 | (1) |
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4.3.1.2 Fixed Pitch Rotor with Passive Stall and Constant Speed |
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92 | (3) |
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4.3.1.3 Fixed Pitch Rotor Controlled by Active Stall and Variable Speed |
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95 | (1) |
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4.3.1.4 Fixed Pitch Rotor Controlled by Aerodynamic Brakes |
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95 | (2) |
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4.3.2 Variable Pitch Rotor |
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97 | (4) |
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4.3.2.1 Variation of the Pitch by Means of Servomechanisms |
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97 | (1) |
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4.3.2.2 Variation of the Pitch by Means of Centrifugal Force |
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97 | (3) |
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4.3.2.3 Pitch Control by Aerodynamic Moment |
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100 | (1) |
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4.3.3 Yaw Systems and Variation of the Exposed Surface |
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101 | (2) |
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4.4 Selecting the Materials and Techniques for the Blades' Manufacture |
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103 | (3) |
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103 | (1) |
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4.4.2 Fiber Reinforced Plastic Resin (FRPR) |
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103 | (1) |
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103 | (1) |
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104 | (2) |
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4.4.5 Wooden Frame Covered with Tarpaulin, or Plastic Foil, or Thin Metal Sheet |
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106 | (1) |
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106 | (5) |
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4.5.1 Low-Cost Rotor with Profiled Sail |
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106 | (3) |
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4.5.1.1 Definition of the Problem |
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106 | (1) |
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107 | (1) |
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107 | (1) |
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4.5.1.4 Selection of the Airfoil |
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108 | (1) |
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4.5.1.5 Dimensioning of the Blade |
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108 | (1) |
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4.5.2 Design of an Optimum 3-Bladed Rotor for Electrical Generation |
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109 | (14) |
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4.5.2.1 Definition of the Problem |
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109 | (2) |
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4.5.2.2 First Step: General Size of the Turbine and Orientation Vane, Generating the Optimum Blade Shape |
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111 | (1) |
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4.5.2.3 Second Step: Performance of the Optimum Blade |
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111 | (1) |
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4.5.2.4 Third Step: Evaluating Alternatives |
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111 | (1) |
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111 | (2) |
5 Practical Design of Aerodynamic Action Vertical Axis Wind Turbines |
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113 | (20) |
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5.1 General Considerations about Vertical Axis Turbines |
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113 | (2) |
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5.2 Simplified Theory of the Darrieus Turbines |
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115 | (8) |
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5.3 Design of H-Type Darrieus Turbines |
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123 | (4) |
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5.3.1 Pre-dimensioning of H-Type Darrieus Turbines |
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123 | (1) |
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5.3.2 Choosing the Airfoil for the Rotor |
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124 | (1) |
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5.3.3 Calculating the Coefficient a for Different Arbitrary Values of λ' and Determination of the Forces, Torque, Cp, and λ |
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124 | (3) |
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5.4 Analysis of the Aerodynamic Features and Constructive Choices of the Rotor |
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127 | (1) |
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127 | (1) |
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5.4.2 Production of the Blades |
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127 | (1) |
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5.5 Practical Example: Making a Low-Cost Darrieus Rotor |
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128 | (2) |
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5.5.1 Definition of the Problem |
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128 | (1) |
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128 | (1) |
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5.5.3 Selection of the Airfoil |
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129 | (1) |
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5.5.4 Dimensioning of the Blade |
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129 | (1) |
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130 | (1) |
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131 | (2) |
6 Practical Design of Savonius Turbines and Derived Models |
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133 | (12) |
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133 | (8) |
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6.2 Practical Calculation of Savonius Rotors |
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141 | (2) |
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6.2.1 Determine the Power Obtainable from a Given Speed of Wind |
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141 | (1) |
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6.2.2 Determine the Torque |
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142 | (1) |
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6.2.3 Determine the Necessary Torque for Driving the Pump |
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142 | (1) |
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6.2.4 Calculation of the Mass Flow |
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143 | (1) |
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6.2.5 Curve of Mass Flow as a Function of the Wind Speed, V |
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143 | (1) |
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143 | (2) |
7 Engineering of the Support Structures for Wind Turbines |
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145 | (22) |
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145 | (1) |
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7.2 Calculation Procedure of a Wind Turbine's Support Structure |
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146 | (14) |
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7.2.1 Determination of the Loads |
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146 | (2) |
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7.2.1.1 Maximum Load on the Hub under Limited Operational Conditions |
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147 | (1) |
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7.2.1.2 Maximum Load on the Hub with Blocked Rotor |
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147 | (1) |
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7.2.1.3 Load Acting on the Support Structure |
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148 | (1) |
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148 | (5) |
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7.2.2.1 Standard Steel Poles |
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148 | (3) |
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151 | (2) |
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7.2.2.3 Prefabricated Concrete Poles |
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153 | (1) |
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7.2.3 Sizing of the Foundations |
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153 | (1) |
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7.2.4 Guyed Masts and Towers |
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154 | (6) |
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154 | (1) |
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7.2.4.2 A Simplified Calculation Method: Range of Validity and Description |
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155 | (3) |
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7.2.4.3 Wind-Induced Vibrations and Fatigue Stress |
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158 | (2) |
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7.2.5 Foldable or Hinged Poles |
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160 | (1) |
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160 | (5) |
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7.3.1 Design of the Support Pole and Foundation Block of a Wind Turbine |
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160 | (3) |
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7.3.2 Wooden and Concrete Poles |
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163 | (1) |
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163 | (1) |
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7.3.4 von Karman Vortexes and Resonance Phenomena |
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164 | (1) |
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165 | (2) |
8 Probability Distribution of the Wind Speed and Preliminary Design of Wind Power Installations |
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167 | (34) |
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167 | (2) |
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8.2 Employing "Typical Meteorological Years" from Actual Weather Stations or from Specialized Companies |
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169 | (2) |
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8.3 How to Design Your Own Anemometric Campaign |
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171 | (7) |
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8.3.1 Basic Notions of Metrology: Accuracy, Precision, and Repeatability |
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171 | (2) |
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8.3.2 Definitions of Accurateness, Precision, and Repeatability |
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173 | (1) |
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173 | (5) |
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174 | (1) |
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174 | (1) |
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8.3.3.3 Rules of Error Propagation |
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175 | (1) |
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8.3.3.4 Conventions for the Correct Expression of Measured Values, or of Values Calculated from Measures, and Their Errors |
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175 | (1) |
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8.3.3.5 Estimation of the Errors in the Calculation of the Energy Productivity from Meteorological Data |
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176 | (2) |
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8.4 Employing Data of Average Speed and Statistical Functions |
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178 | (6) |
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8.4.1 Rayleigh's Function of Probability Distribution |
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179 | (1) |
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8.4.1.1 Example of Use of Rayleigh's Distribution |
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180 | (1) |
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8.4.2 Weibull's Probability Function |
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180 | (4) |
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8.5 Variation of the Wind Speed with the Height above Ground |
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184 | (4) |
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8.6 Practical Exercise N. 1 |
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188 | (8) |
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8.6.1 Estimating the Energy Productivity with the Help of a Wind Map and Weibull's Function |
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188 | (2) |
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8.6.2 Calculating the Energy Productivity with Anemometric Data Provided by the Local Meteorological Service |
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190 | (2) |
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8.6.3 When Both Mesoscale and Anemometric Data Are Available |
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192 | (1) |
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193 | (3) |
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8.7 Practical Exercise N. 2 |
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196 | (3) |
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8.7.1 Overrating: A Common Practice in the Wind Power Industry |
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196 | (2) |
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198 | (1) |
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8.7.3 Conclusions from the Example |
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198 | (1) |
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199 | (2) |
9 Sizing Energy Storage Systems |
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201 | (12) |
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9.1 Stand-alone Wind Power Generators |
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201 | (1) |
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9.2 Stationary Batteries for Electrical Energy Storage |
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201 | (5) |
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9.2.1 The Charge-Discharge Capacity |
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202 | (1) |
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9.2.2 The Discharge Depth |
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203 | (1) |
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9.2.3 Self-Discharge Percentage |
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203 | (1) |
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9.2.4 Choosing the Most Suitable Battery for a Given Scope |
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204 | (2) |
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9.2.5 Influence of Temperature and Discharge Rate |
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206 | (1) |
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9.3 Examples of Stand-alone Wind Power System Design |
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206 | (6) |
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9.3.1 Feasibility of Using of Standard Automotive Batteries for Stationary Applications |
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206 | (4) |
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9.3.1.1 Automotive Batteries |
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207 | (1) |
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9.3.1.2 Stationary Batteries |
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208 | (1) |
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9.3.1.3 Selection Factors |
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208 | (1) |
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9.3.1.4 Size of the Wind Turbine |
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209 | (1) |
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9.3.2 Example of Stand-alone Wind Power System Design with Stationary Batteries |
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210 | (5) |
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9.3.2.1 Maximum Durability Criterion |
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211 | (1) |
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9.3.2.2 Minimum Size Criterion |
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211 | (1) |
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211 | (1) |
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9.3.2.4 Size of the Turbine |
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211 | (1) |
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212 | (1) |
10 Design of Wind Pumping Systems |
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213 | (46) |
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213 | (2) |
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10.2 Water Pumps and Wind Turbines |
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215 | (11) |
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215 | (1) |
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215 | (1) |
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10.2.3 Positive Displacement Pumps |
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216 | (10) |
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218 | (1) |
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219 | (1) |
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10.2.3.3 Peristaltic Pumps |
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220 | (3) |
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223 | (1) |
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224 | (1) |
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225 | (1) |
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10.3 Matching Hydraulic Pumps to Wind Turbines |
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226 | (15) |
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227 | (1) |
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228 | (1) |
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10.3.3 Regulation of the Torque between the Extreme Values Mmin and Mmax |
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229 | (1) |
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10.3.4 Systems for the Conversion and Transmission of the Motion |
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230 | (9) |
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10.3.4.1 Sizing the Transmission between the Wind Turbine and the Pump |
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232 | (7) |
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10.3.5 Minimizing Water Hammering in the Pipeline and Check Valves |
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239 | (2) |
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10.3.5.1 Numerical Example |
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240 | (1) |
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10.4 Examples of Design of Wind-Powered Pumping Systems |
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241 | (15) |
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10.4.1 Example: Design of a Wind-Driven Pumping System in an Isolated Area |
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241 | (5) |
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10.4.1.1 Determination of the Average Pumping Power |
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241 | (1) |
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10.4.1.2 Sizing the Turbine |
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242 | (2) |
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10.4.1.3 Determination of the Storage Volume |
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244 | (2) |
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10.4.2 Example of the Design of a Wind Pumping System for Industrial Agriculture |
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246 | (4) |
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10.4.2.1 Determination of the Average Power for Pumping |
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247 | (1) |
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10.4.2.2 Size of the Turbine |
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248 | (1) |
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10.4.2.3 Finding the Optimum Turbine |
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249 | (1) |
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10.4.3 Tailoring a Wind Pumping System for a Given Context |
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250 | (10) |
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10.4.3.1 Determining the Necessary Power for the Windmill |
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250 | (1) |
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10.4.3.2 Choosing and Sizing the Wind Turbine |
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251 | (1) |
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10.4.3.3 Designing the Pump and the Rotor to Match Each Other |
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252 | (4) |
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256 | (1) |
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256 | (3) |
11 Unconventional Wind-Driven Machines |
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259 | (22) |
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259 | (1) |
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11.2 High Altitude Concepts |
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260 | (3) |
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260 | (1) |
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261 | (1) |
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11.2.3 Autogiros or Flying Electric Generators |
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262 | (1) |
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263 | (1) |
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11.3 Claims of Efficiency Higher than Betz's Theorem |
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263 | (2) |
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11.3.1 Saphonian 3D-Oscillating Membrane |
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264 | (1) |
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264 | (1) |
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11.4 Old Technologies Pretending to Be New |
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265 | (6) |
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11.4.1 Spiral Surface Rotor |
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265 | (1) |
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11.4.2 Savonius-Like Rotors |
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265 | (1) |
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265 | (1) |
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11.4.2.2 Twisted Savonius Rotors |
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265 | (1) |
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11.4.3 Variations of the Pannemone |
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266 | (3) |
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11.4.3.1 The Cycloturbine |
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267 | (1) |
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11.4.3.2 The Giromill (a.k.a. Gyromill, a.k.a. Cyclogiro) |
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268 | (1) |
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11.4.3.3 The Vertical Axis Disc Turbine |
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268 | (1) |
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11.4.3.4 The Costes Wind Motor |
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268 | (1) |
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11.4.3.5 The Lafond Turbine |
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268 | (1) |
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11.4.4 Einfield-Andreau Pneumatic Gear |
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269 | (1) |
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11.4.5 Darrieus Turbine with Its Axis in Horizontal Position |
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270 | (1) |
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271 | (5) |
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271 | (1) |
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11.5.2 Linear Motion Rolling Blades |
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272 | (1) |
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11.5.3 von Karman Vortex Resonators |
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273 | (1) |
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273 | (1) |
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11.5.5 Artificial Tornado |
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274 | (1) |
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11.5.5.1 Wind-Induced Tornado |
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274 | (1) |
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11.5.5.2 Heat-Induced Tornado |
|
|
274 | (1) |
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11.5.6 Magnus Effect: Flettner and Thom Rotors |
|
|
275 | (1) |
|
|
275 | (1) |
|
11.5.7.1 Solar-Induced Updraft a.k.a. Solar Chimney |
|
|
275 | (1) |
|
11.5.7.2 Evaporative-Induced Downdraft |
|
|
275 | (1) |
|
|
276 | (4) |
|
11.6.1 Do Vortex Converters Have Any Potential Advantage on Wind Turbines? |
|
|
276 | (2) |
|
11.6.2 Check the Maximum Cp of the Pannemone Presented in Section 11.4.3.3 |
|
|
278 | (2) |
|
|
280 | (1) |
12 Aerodynamic Characteristics of Blunt Bodies and Airfoils |
|
281 | (39) |
|
|
281 | (1) |
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12.2 Aerodynamic Characteristics of Extruded Profiles |
|
|
281 | (1) |
|
12.3 Aerodynamic Characteristics of Blunt and Streamlined Bodies |
|
|
282 | (1) |
|
12.4 Aerodynamic Characteristics of Airfoils |
|
|
283 | (37) |
|
|
284 | (3) |
|
12.4.2 Wortmann FX77-W153 Airfoil |
|
|
287 | (3) |
|
12.4.3 Eppler E220 Airfoil |
|
|
290 | (1) |
|
|
290 | (3) |
|
|
293 | (7) |
|
12.4.6 GOE 417-A Airfoil (Cambered Plate) |
|
|
300 | (1) |
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12.4.7 Airfoil Eppler E377 (Modified) |
|
|
300 | (3) |
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12.4.8 Simmetric Airfoil Eppler E169 (14.4%) |
|
|
303 | (17) |
Bibliography |
|
320 | (1) |
Index |
|
321 | |