Wind Energy Handbook

Cover
Title Page
Copyright
Contents
Chapter 1 Introduction
	1.1 Historical development of wind energy
	1.2 Modern wind turbines
	1.3 Scope of the book
	References
	Websites
	Further Reading
Chapter 2 The wind resource
	2.1 The nature of the wind
	2.2 Geographical variation in the wind resource
	2.3 Long‐term wind speed variations
	2.4 Annual and seasonal variations
	2.5 Synoptic and diurnal variations
	2.6 Turbulence
		2.6.1 The nature of turbulence
		2.6.2 The boundary layer
		2.6.3 Turbulence intensity
		2.6.4 Turbulence spectra
		2.6.5 Length scales and other parameters
		2.6.6 Asymptotic limits
		2.6.7 Cross‐spectra and coherence functions
		2.6.8 The Mann model of turbulence
	2.7 Gust wind speeds
	2.8 Extreme wind speeds
		2.8.1 Extreme winds in standards
	2.9 Wind speed prediction and forecasting
		2.9.1 Statistical methods
		2.9.2 Meteorological methods
		2.9.3 Current methods
	2.10 Turbulence in complex terrain
	References
Chapter 3 Aerodynamics of horizontal axis wind turbines
	3.1 Introduction
	3.2 The actuator disc concept
		3.2.1 Simple momentum theory
		3.2.2 Power coefficient
		3.2.3 The Betz limit
		3.2.4 The thrust coefficient
	3.3 Rotor disc theory
		3.3.1 Wake rotation
		3.3.2 Angular momentum theory
		3.3.3 Maximum power
	3.4 Vortex cylinder model of the actuator disc
		3.4.1 Introduction
		3.4.2 Vortex cylinder theory
		3.4.3 Relationship between bound circulation and the induced velocity
		3.4.4 Root vortex
		3.4.5 Torque and power
		3.4.6 Axial flow field
		3.4.7 Tangential flow field
		3.4.8 Axial thrust
		3.4.9 Radial flow and the general flow field
		3.4.10 Further development of the actuator model
		3.4.11 Conclusions
	3.5 Rotor blade theory (blade‐element/momentum theory)
		3.5.1 Introduction
		3.5.2 Blade element theory
		3.5.3 The BEM theory
		3.5.4 Determination of rotor torque and power
	3.6 Actuator line theory, including radial variation
	3.7 Breakdown of the momentum theory
		3.7.1 Free‐stream/wake mixing
		3.7.2 Modification of rotor thrust caused by wake breakdown
		3.7.3 Empirical determination of thrust coefficient
	3.8 Blade geometry
		3.8.1 Introduction
		3.8.2 Optimal design for variable‐speed operation
		3.8.3 A simple blade design
		3.8.4 Effects of drag on optimal blade design
		3.8.5 Optimal blade design for constant‐speed operation
	3.9 The effects of a discrete number of blades
		3.9.1 Introduction
		3.9.2 Tip‐losses
		3.9.3 Prandtl's approximation for the tip‐loss factor
		3.9.4 Blade root losses
		3.9.5 Effect of tip‐loss on optimum blade design and power
		3.9.6 Incorporation of tip‐loss for non‐optimal operation
		3.9.7 Radial effects and an alternative explanation for tip‐loss
	3.10 Stall delay
	3.11 Calculated results for an actual turbine
	3.12 The performance curves
		3.12.1 Introduction
		3.12.2 The CP – λ performance curve
		3.12.3 The effect of solidity on performance
		3.12.4 The CQ – λ curve
		3.12.5 The CT – λ curve
	3.13 Constant rotational speed operation
		3.13.1 Introduction
		3.13.2 The KP −1/λ curve
		3.13.3 Stall regulation
		3.13.4 Effect of rotational speed change
		3.13.5 Effect of blade pitch angle change
	3.14 Pitch regulation
		3.14.1 Introduction
		3.14.2 Pitching to stall
		3.14.3 Pitching to feather
	3.15 Comparison of measured with theoretical performance
	3.16 Estimation of energy capture
	3.17 Wind turbine aerofoil design
		3.17.1 Introduction
		3.17.2 The NREL aerofoils
		3.17.3 The Risø aerofoils
		3.17.4 The Delft aerofoils
		3.17.5 General principles for outboard and inboard blade sections
	3.18 Add‐ons (including blade modifications independent of the main structure)
		3.18.1 Devices to control separation and stalling
		3.18.2 Devices to increase CLmax and lift/drag ratio
		3.18.3 Circulation control (jet flaps)
	3.19 Aerodynamic noise
		3.19.1 Noise sources
		3.19.2 Inflow turbulence‐induced blade noise
		3.19.3 Self‐induced blade noise
		3.19.4 Interaction between turbulent boundary layers on the blade and the trailing edge
		3.19.5 Other blade noise sources
		3.19.6 Summary
	References
	Websites
	Further Reading
	A3.1 Drag
	A3.2 The boundary layer
	A3.3 Boundary layer separation
	A3.4 Laminar and turbulent boundary layers and transition
	A3.5 Definition of lift and its relationship to circulation
	A3.6 The stalled aerofoil
	A3.7 The lift coefficient
	A3.8 Aerofoil drag characteristics
		A3.8.1 Symmetric aerofoils
		A3.8.2 Cambered aerofoils
Chapter 4 Further aerodynamic topics for wind turbines
	4.1 Introduction
	4.2 The aerodynamics of turbines in steady yaw
		4.2.1 Momentum theory for a turbine rotor in steady yaw
		4.2.2 Glauert's momentum theory for the yawed rotor
		4.2.3 Vortex cylinder model of the yawed actuator disc
		4.2.4 Flow expansion
		4.2.5 Related theories
		4.2.6 Wake rotation for a turbine rotor in steady yaw
		4.2.7 The blade element theory for a turbine rotor in steady yaw
		4.2.8 The blade‐element‐momentum theory for a rotor in steady yaw
		4.2.9 Calculated values of induced velocity
		4.2.10 Blade forces for a rotor in steady yaw
		4.2.11 Yawing and tilting moments in steady yaw
	4.3 Circular wing theory applied to a rotor in yaw
		4.3.1 Introduction
		4.3.2 The general pressure distribution theory of Kinner
		4.3.3 The axisymmetric loading distributions
		4.3.4 The anti‐symmetric loading distribution
		4.3.5 The Pitt and Peters model
		4.3.6 The general acceleration potential method
		4.3.7 Comparison of methods
	4.4 Unsteady flow
		4.4.1 Introduction
		4.4.2 The acceleration potential method to analyse unsteady flow
		4.4.3 Unsteady yawing and tilting moments
	4.5 Unsteady aerofoil aerodynamics
		4.5.1 Introduction
		4.5.2 Aerodynamic forces caused by aerofoil acceleration
		4.5.3 The effect of the shed vortex wake on an aerofoil in unsteady flow
	4.6 Dynamic stall
		4.6.1 Introduction
		4.6.2 Dynamic stall models
	4.7 Computational fluid dynamics
		4.7.1 Introduction
		4.7.2 Inviscid computational methods
		4.7.3 RANS and URANS CFD methods
		4.7.4 LES and DES methods
		4.7.5 Numerical techniques for CFD
		4.7.6 Discrete methods of approximating the terms in the Navier–Stokes equations over the flow field
		4.7.7 Grid construction
		4.7.8 Full flow field simulation including ABL and wind turbines
	References
	Further Reading
Chapter 5 Design loads for HAWTs
	5.1 National and international standards
		5.1.1 Historical development
		5.1.2 IEC 61400‐1
	5.2 Basis for design loads
		5.2.1 Sources of loading
		5.2.2 Ultimate loads
		5.2.3 Fatigue loads
		5.2.4 Partial safety factors
		5.2.5 Functions of the control and safety systems
	5.3 Turbulence and wakes
	5.4 Extreme loads
		5.4.1 Operational load cases
		5.4.2 Non‐operational load cases
		5.4.3 Blade/tower clearance
		5.4.4 Constrained stochastic simulation of wind gusts
	5.5 Fatigue loading
		5.5.1 Synthesis of fatigue load spectrum
	5.6 Stationary blade loading
		5.6.1 Lift and drag coefficients
		5.6.2 Critical configuration for different machine types
		5.6.3 Dynamic response
	5.7 Blade loads during operation
		5.7.1 Deterministic and stochastic load components
		5.7.2 Deterministic aerodynamic loads
		5.7.3 Gravity loads
		5.7.4 Deterministic inertia loads
		5.7.5 Stochastic aerodynamic loads: analysis in the frequency domain
		5.7.6 Stochastic aerodynamic loads: analysis in the time domain
		5.7.7 Extreme loads
	5.8 Blade dynamic response
		5.8.1 Modal analysis
		5.8.2 Mode shapes and frequencies
		5.8.3 Centrifugal stiffening
		5.8.4 Aerodynamic and structural damping
		5.8.5 Response to deterministic loads: step‐by‐step dynamic analysis
		5.8.6 Response to stochastic loads
		5.8.7 Response to simulated loads
		5.8.8 Teeter motion
		5.8.9 Tower coupling
		5.8.10 Aeroelastic stability
	5.9 Blade fatigue stresses
		5.9.1 Methodology for blade fatigue design
		5.9.2 Combination of deterministic and stochastic components
		5.9.3 Fatigue prediction in the frequency domain
		5.9.4 Wind simulation
		5.9.5 Fatigue cycle counting
	5.10 Hub and low‐speed shaft loading
		5.10.1 Introduction
		5.10.2 Deterministic aerodynamic loads
		5.10.3 Stochastic aerodynamic loads
		5.10.4 Gravity loading
	5.11 Nacelle loading
		5.11.1 Loadings from rotor
		5.11.2 Nacelle wind loads
	5.12 Tower loading
		5.12.1 Extreme loads
		5.12.2 Dynamic response to extreme loads
		5.12.3 Operational loads due to steady wind (deterministic component)
		5.12.4 Operational loads due to turbulence (stochastic component)
		5.12.5 Dynamic response to operational loads
		5.12.6 Fatigue loads and stresses
	5.13 Wind turbine dynamic analysis codes
	5.14 Extrapolation of extreme loads from simulations
		5.14.1 Derivation of empirical cumulative distribution function of global extremes
		5.14.2 Fitting an extreme value distribution to the empirical distribution
		5.14.3 Comparison of extreme value distributions
		5.14.4 Combination of probability distributions
		5.14.5 Extrapolation
		5.14.6 Fitting probability distribution after aggregation
		5.14.7 Local extremes method
		5.14.8 Convergence requirements
	References
	A5.1 Introduction
	A5.2 Frequency response function
		A5.2.1 Equation of motion
		A5.2.2 Frequency response function
	A5.3 Resonant displacement response ignoring wind variations along the blade
		A5.3.1 Linearisation of wind loading
		A5.3.2 First mode displacement response
		A5.3.3 Background and resonant response
	A5.4 Effect of across wind turbulence distribution on resonant displacement response
		A5.4.1 Formula for normalised co‐spectrum
	A5.5 Resonant root bending moment
	A5.6 Root bending moment background response
	A5.7 Peak response
	A5.8 Bending moments at intermediate blade positions
		A5.8.1 Background response
		A5.8.2 Resonant response
	A5.8 References
Chapter 6 Conceptual design of horizontal axis wind turbines
	6.1 Introduction
	6.2 Rotor diameter
		6.2.1 Cost modelling
		6.2.2 Simplified cost model for machine size optimisation: an illustration
		6.2.3 The NREL cost model
		6.2.4 The INNWIND.EU cost model
		6.2.5 Machine size growth
		6.2.6 Gravity limitations
		6.2.7 Variable diameter rotors
	6.3 Machine rating
		6.3.1 Simplified cost model for optimising machine rating in relation to diameter
		6.3.2 Relationship between optimum rated wind speed and annual mean
		6.3.3 Specific power of production machines
	6.4 Rotational speed
		6.4.1 Ideal relationship between rotational speed and solidity
		6.4.2 Influence of rotational speed on blade weight
		6.4.3 High‐speed rotors
		6.4.4 Low induction rotors
		6.4.5 Noise constraint on rotational speed
		6.4.6 Visual considerations
	6.5 Number of blades
		6.5.1 Overview
		6.5.2 Ideal relationship between number of blades, rotational speed, and solidity
		6.5.3 Effect of number of blades on optimum CP in the presence of tip‐loss and drag
		6.5.4 Some performance and cost comparisons
		6.5.5 Effect of number of blades on loads
		6.5.6 Noise constraint on rotational speed
		6.5.7 Visual appearance
		6.5.8 Single bladed turbines
	6.6 Teetering
		6.6.1 Load relief benefits
		6.6.2 Limitation of large excursions
		6.6.3 Pitch‐teeter coupling
		6.6.4 Teeter stability on stall‐regulated machines
	6.7 Power control
		6.7.1 Passive stall control
		6.7.2 Active pitch control
		6.7.3 Passive pitch control
		6.7.4 Active stall control
		6.7.5 Yaw control
	6.8 Braking systems
		6.8.1 Independent braking systems: requirements of standards
		6.8.2 Aerodynamic brake options
		6.8.3 Mechanical brake options
		6.8.4 Parking versus idling
	6.9 Fixed‐speed, two‐speed, variable‐slip, and variable‐speed operation
		6.9.1 Fixed‐speed operation
		6.9.2 Two‐speed operation
		6.9.3 Variable‐slip operation (see also Section 8.3.8)
		6.9.4 Variable‐speed operation
		6.9.5 Generator system architectures
		6.9.6 Low‐speed direct drive generators
		6.9.7 Hybrid gearboxes, medium‐speed generators
		6.9.8 Evolution of generator systems
	6.10 Other drive trains and generators
		6.10.1 Directly connected, fixed‐speed generators
		6.10.2 Innovations to allow the use of directly connected generators
		6.10.3 Generator and drive train innovations
	6.11 Drive train mounting arrangement options
		6.11.1 Low‐speed shaft mounting
		6.11.2 High‐speed shaft and generator mounting
	6.12 Drive train compliance
	6.13 Rotor position with respect to tower
		6.13.1 Upwind configuration
		6.13.2 Downwind configuration
	6.14 Tower stiffness
		6.14.1 Stochastic thrust loading at blade passing frequency
		6.14.2 Tower top moment fluctuations due to blade pitch errors
		6.14.3 Tower top moment fluctuations due to rotor mass imbalance
		6.14.4 Tower stiffness categories
	6.15 Multiple rotor structures
		6.15.1 Space frame support structure
		6.15.2 Tubular cantilever arm support structure
		6.15.3 Vestas four‐rotor array
		6.15.4 Cost comparison based on fundamental scaling rules
		6.15.5 Cost comparison based on NREL scaling indices
		6.15.6 Discussion
	6.16 Augmented flow
	6.17 Personnel safety and access issues
	References
Chapter 7 Component design
	7.1 Blades
		7.1.1 Introduction
		7.1.2 Aerodynamic design
		7.1.3 Practical modifications to optimum aerodynamic design
		7.1.4 Structural design criteria
		7.1.5 Form of blade structure
		7.1.6 Blade materials and properties
		7.1.7 Static properties of glass/polyester and glass/epoxy composites
		7.1.8 Fatigue properties of glass/polyester and glass/epoxy composites
		7.1.9 Carbon fibre composites
		7.1.10 Properties of wood laminates
		7.1.11 Material safety factors
		7.1.12 Manufacture of composite blades
		7.1.13 Blade loading overview
		7.1.14 Simplified fatigue design example
		7.1.15 Blade resonance
		7.1.16 Design against buckling
		7.1.17 Blade root fixings
		7.1.18 Blade testing
		7.1.19 Leading edge erosion
		7.1.20 Bend‐twist coupling
	7.2 Pitch bearings
	7.3 Rotor hub
	7.4 Gearbox
		7.4.1 Introduction
		7.4.2 Variable loads during operation
		7.4.3 Drive train dynamics
		7.4.4 Braking loads
		7.4.5 Effect of variable loading on fatigue design of gear teeth
		7.4.6 Effect of variable loading on fatigue design of bearings and shafts
		7.4.7 Gear arrangements
		7.4.8 Gearbox noise
		7.4.9 Integrated gearboxes
		7.4.10 Lubrication and cooling
		7.4.11 Gearbox efficiency
	7.5 Generator
		7.5.1 Fixed‐speed induction generators
		7.5.2 Variable‐slip induction generators
		7.5.3 Variable‐speed operation
		7.5.4 Variable‐speed operation using a DFIG
		7.5.5 Variable‐speed operation using a full power converter
	7.6 Mechanical brake
		7.6.1 Brake duty
		7.6.2 Factors governing brake design
		7.6.3 Calculation of brake disc temperature rise
		7.6.4 High‐speed shaft brake design
		7.6.5 Two‐level braking
		7.6.6 Low‐speed shaft brake design
	7.7 Nacelle bedplate
	7.8 Yaw drive
	7.9 Tower
		7.9.1 Introduction
		7.9.2 Constraints on first mode natural frequency
		7.9.3 Steel tubular towers
		7.9.4 Steel lattice towers
		7.9.5 Hybrid towers
	7.10 Foundations
		7.10.1 Slab foundations
		7.10.2 Multi‐pile foundations
		7.10.3 Concrete monopile foundations
		7.10.4 Foundations for steel lattice towers
		7.10.5 Foundation rotational stiffness
	References
Chapter 8 The controller
	8.1 Functions of the wind turbine controller
		8.1.1 Supervisory control
		8.1.2 Closed‐loop control
		8.1.3 The safety system
	8.2 Closed‐loop control: issues and objectives
		8.2.1 Pitch control
		8.2.2 Stall control
		8.2.3 Generator torque control
		8.2.4 Yaw control
		8.2.5 Influence of the controller on loads
		8.2.6 Defining controller objectives
		8.2.7 PI and PID controllers
	8.3 Closed‐loop control: general techniques
		8.3.1 Control of fixed‐speed, pitch‐regulated turbines
		8.3.2 Control of variable‐speed, pitch‐regulated turbines
		8.3.3 Pitch control for variable‐speed turbines
		8.3.4 Switching between torque and pitch control
		8.3.5 Control of tower vibration
		8.3.6 Control of drive train torsional vibration
		8.3.7 Variable‐speed stall regulation
		8.3.8 Control of variable‐slip turbines
		8.3.9 Individual pitch control
		8.3.10 Multivariable control – decoupling the wind turbine control loops
		8.3.11 Two axis decoupling for individual pitch control
		8.3.12 Load reduction with individual pitch control
		8.3.13 Individual pitch control implementation
		8.3.14 Further extensions to individual pitch control
		8.3.15 Commercial use of individual pitch control
		8.3.16 Estimation of rotor average wind speed
		8.3.17 LiDAR‐assisted control
		8.3.18 LiDAR signal processing
	8.4 Closed‐loop control: analytical design methods
		8.4.1 Classical design methods
		8.4.2 Gain scheduling for pitch controllers
		8.4.3 Adding more terms to the controller
		8.4.4 Other extensions to classical controllers
		8.4.5 Optimal feedback methods
		8.4.6 Pros and cons of model based control methods
		8.4.7 Other methods
	8.5 Pitch actuators
	8.6 Control system implementation
		8.6.1 Discretisation
		8.6.2 Integrator desaturation
	References
Chapter 9 Wake effects and wind farm control
	9.1 Introduction
	9.2 Wake characteristics
		9.2.1 Modelling wake effects
		9.2.2 Wake turbulence in the IEC standard
		9.2.3 CFD models
		9.2.4 Simplified or ‘engineering’ wake models
		9.2.5 Wind farm models
	9.3 Active wake control methods
		9.3.1 Wake control options
		9.3.2 Control objectives
		9.3.3 Control design methods for active wake control
		9.3.4 Field testing for active wake control
	9.4 Wind farm control and the grid system
		9.4.1 Curtailment and delta control
		9.4.2 Fast frequency response
	References
Chapter 10 Onshore wind turbine installations and wind farms
	10.1 Project development
		10.1.1 Initial site selection
		10.1.2 Project feasibility assessment
		10.1.3 Measure–correlate–predict
		10.1.4 Micrositing
		10.1.5 Site investigations
		10.1.6 Public consultation
		10.1.7 Preparation of the planning application and environmental statement
		10.1.8 Planning requirements in the UK
		10.1.9 Procurement of wind farms
		10.1.10 Financing of wind farms
	10.2 Landscape and visual impact assessment
		10.2.1 Landscape character assessment
		10.2.2 Turbine and wind farm design for minimum visual impact
		10.2.3 Assessment of visual impact
		10.2.4 Shadow flicker
	10.3 Noise
		10.3.1 Terminology and basic concepts
		10.3.2 Wind turbine noise
		10.3.3 Measurement of wind turbine noise
		10.3.4 Prediction and assessment of wind farm noise
		10.3.5 Low frequency noise
	10.4 Electromagnetic interference
		10.4.1 Impact of wind turbines on communication systems
		10.4.2 Impact of wind turbines on aviation radar
	10.5 Ecological assessment
		10.5.1 Impact on birds
		10.5.2 Impact on bats
	References
	Software
Chapter 11 Wind energy and the electric power system
	11.1 Introduction
		11.1.1 The electric power system
		11.1.2 Electrical distribution networks
		11.1.3 Electrical transmission systems
	11.2 Wind turbine electrical systems
		11.2.1 Wind turbine transformers
		11.2.2 Protection of wind turbine electrical systems
		11.2.3 Lightning protection of wind turbines
	11.3 Wind farm electrical systems
		11.3.1 Power collection system
		11.3.2 Earthing (grounding) of wind farms
	11.4 Connection of wind farms to distribution networks
		11.4.1 Power system studies
		11.4.2 Electrical protection of a wind farm
		11.4.3 Islanding and anti‐islanding protection
		11.4.4 Utility protection of a wind farm
	11.5 Grid codes and the connection of large wind farms to transmission networks
		11.5.1 Continuous operation capability
		11.5.2 Reactive power capability
		11.5.3 Frequency response
		11.5.4 Fault ride through
		11.5.5 Fast fault current injection
		11.5.6 Synthetic inertia
	11.6 Wind energy and the generation system
		11.6.1 Development (planning) of a generation system including wind energy
		11.6.2 Operation of a generation system including wind energy
		11.6.3 Wind power forecasting
	11.7 Power quality
		11.7.1 Voltage flicker perception
		11.7.2 Measurement and assessment of power quality characteristics of grid connected wind turbines
		11.7.3 Harmonics
	References
	A11.1 The per‐unit system
	A11.2 Power flows, slow voltage variations, and network losses
Chapter 12 Offshore wind turbines and wind farms
	12.1 Offshore wind farms
	12.2 The offshore wind resource
		12.2.1 Winds offshore
		12.2.2 Site wind speed assessment
		12.2.3 Wakes in offshore wind farms
	12.3 Design loads
		12.3.1 International standards
		12.3.2 Wind conditions
		12.3.3 Marine conditions
		12.3.4 Wave spectra
		12.3.5 Ultimate loads: operational load cases and accompanying wave climates
		12.3.6 Ultimate loads: non‐operational load cases and accompanying wave climates
		12.3.7 Fatigue loads
		12.3.8 Wave theories
		12.3.9 Wave loading on support structure
		12.3.10 Constrained waves
		12.3.11 Analysis of support structure loads
	12.4 Machine size optimisation
	12.5 Reliability of offshore wind turbines
		12.5.1 Machine architecture
		12.5.2 Redundancy
		12.5.3 Component quality
		12.5.4 Protection against corrosion
		12.5.5 Condition monitoring
	12.6 Fixed support structures – overview
	12.7 Fixed support structures
		12.7.1 Monopiles – introduction
		12.7.2 Monopiles – geotechnical design
		12.7.3 Monopiles – steel design
		12.7.4 Monopiles – fatigue analysis in the frequency domain
		12.7.5 Gravity bases
		12.7.6 Jacket structures
		12.7.7 Tripod structures
		12.7.8 Tripile structures
		12.7.9 S‐N curves for fatigue design
	12.8 Floating support structures
		12.8.1 Introduction
		12.8.2 Floater concepts
		12.8.3 Design standards
		12.8.4 Design considerations
		12.8.5 Spar buoy design space
		12.8.6 Semi‐submersible design space
		12.8.7 Station keeping
		12.8.8 Spar buoy case study – Hywind Scotland
		12.8.9 Three column semi‐submersible case study – WindFloat Atlantic
		12.8.10 Ring shaped floating platform – Floatgen, France
	12.9 Environmental assessment of offshore wind farms
		12.9.1 Environmental impact assessment
		12.9.2 Contents of the environmental statement of an offshore wind farm
		12.9.3 Environmental monitoring of wind farms in operation
	12.10 Offshore power collection and transmission systems
		12.10.1 Offshore wind farm transmission systems
		12.10.2 Submarine AC cable systems
		12.10.3 HVdc transmission
	References
	A12.1 Levelised cost of electricity
	A12.2 Strike price and contract for difference
Index
EULA