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    Fundamentals of Wind Energy

    E. Ian Baring-GouldSenior Engineer

    National Wind Technology Center National Renewable Energy [email protected]

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    TOPICS

    IntroductionEnergy and Power Wind CharacteristicsWind Power PotentialBasic Wind Turbine TheoryTypes of Wind TurbinesBasic Wind Turbine CalculationsFurther Information

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    What is Wind Power 800-900 years ago,in Europe

    140 years ago,water-pumpingwind mills

    70 years ago,electric power

    1400-1800 years go,in the Middle East

    The ability toharness the poweravailable in thewind and put it touseful work.

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    ENERGY AND POWER

    ENERGY: The Ability to do workENERGY = FORCE * DISTANCE

    Electrical energy is reported in kWh and maybe used to describe a potential, such as instored energy

    POWER: Force without timePOWER = ENERGY / TIMEGenerator Size or an instantaneous loadwhich is measured in kW

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    P = 0.5 v 3P: power, Watt

    density of air, kg/m 3

    V: wind speed, m/s

    We call this the Wind Power Density (W/m 2)If we include the area through which thewind flows (m 2), we get the collectable power

    in Watts.

    Power in the Wind

    http://localhost/var/www/apps/conversion/tmp/Conferences/WEATS/2005%20Alaska%20WEATS/Video/Ht%20of%20Obstacles.mpg
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    Power from the Wind

    Cp = Coefficient ofPerformance (anefficiency term)

    AS = The swept area of the

    wind turbine bladesMultiplied by time give you

    Energy

    P = 0.5 v 3 Cp AS

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    Critical Aspects of Wind Energy

    V3: Doubling of the wind speed results inan 8 fold increase in power

    : High density air results in more power(altitude and temperature)

    As: A slight increase in blade length,increases the area greatly

    Cp: Different types of wind turbines havedifferent maximum theoreticalefficiencies (Betz limit 0.593) butusually between .4 and .5

    P = 0.5 Cp v3 AS

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    Velocity The Impact on Increasing

    Wind Speed A smallincrease in

    wind speedcan increasethe powergreatly

    0.0

    0.1

    0.2

    0.3

    0.4

    0.5

    3 4 5 6 7 8 9 Average Wind Speed, m/s

    A n n u a

    l E n e r g y , M

    W h

    0%

    10%

    20%

    30%

    40%

    50%

    Annual Energy Output

    Capacity Factor (%)

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    Air Density -Changes with

    Elevation

    -40-30-20-10

    0102030405060708090

    100110

    90 95 100 105 110 115 120 125

    Density Change Compared to 59 F, %

    T e m p e r a

    t u r e , F

    Changes withTemperature

    0

    1,000

    2,000

    3,000

    4,000

    5,000

    6,000

    7,000

    8,000

    9,000

    10,000

    70 75 80 85 90 95 100

    Density Change Compared to Sea Level, %

    E l e v a t i o n , f

    t

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    10 kW 38 m2

    1 kW 6 m 2

    500 kW1257 m 2

    300 kW

    415 m 2

    25 kW 78 m 2

    1000 kW2400 m 2

    A = (p D2 )

    4

    SweptArea

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    Wind Characteristics andResources

    Understanding the wind resource at yourlocation is critical to understanding thepotential for using wind energy

    Wind Speed Wind Profile Wind classes Collection and reporting

    Wind Direction Wind speed change with height

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    Wind Speed Measured in m/s or mph Varies by the second,

    hourly, daily, seasonallyand year to year

    Usually has patterns Diurnal - it always blows inthe morning

    Seasonal The winterwinds are stronger

    Characteristics Windsfrom the sea are alwaysstronger and are stormdriven.

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    So, which is better

    1. A location where the wind that blows only50% of the time at 10 m/s but is calm therest of the time

    2. A location where the wind that blows all of

    the time at 5 m/s

    Both have exactly the same annual averagewind speed

    P = 0.5 Cp v3 AS

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    Wind Maps and Class

    Careful:Wind class is defined

    at a specific height

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    Wind Speed Data Collection andReporting

    Collection Measured every 1

    or 2 seconds Averaged every 10

    or 15 minutes Reported as hour

    averagesTurbulence IntensityWind Speed

    Frequency ofOccurrenceHistogram basedon hour averagedata for a year

    0

    200

    400

    600

    800

    1000

    1200

    1400

    1600

    0 1 2 3 4 5 6 7 8 9 10 11 12 1 3 1 4 1 5 1 6 1 7 18 19 2 0 2 1 2 2 2 3 2 4 25

    Wind Speed (m/s)

    T i m e

    ( H o u r s

    )

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    Wind Direction

    CONTINENTAL TRADE WINDS

    Wind Rose

    Wind Speed Rose

    Can also have a winddirection change intensity

    similar to turbulence

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    Impacts on Wind Speed

    Many things impact thespeed and direction of thewind at any specific

    location, making localmeasurements important

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    Wind Speed Increases with Height

    Because of frictionwith the earth, aircloser to the surfacemoves more slowly

    The farther we getaway from the earth(increase in altitude)the higher the windspeed gets until it isno longer effected bythe earths surface

    140

    120

    100

    80

    60

    40

    20

    0

    H e

    i g h t , m

    1086420Wind Speed, m/s

    12:10 12:20 12:30 12:40 12:50 Pow er LawLog Law

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    Wind Shear

    The type ofsurface(grass,trees)impacts thewind shear

    Real vs.

    apparentheight

    Wind Speed, m/sHeightm50

    40

    30

    20

    1050

    SURFACE

    12.6

    12.2

    11.7

    11

    10

    8.8

    N

    h

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    Factoring in Measurement HeightThe Power Law

    Terrain Power Law ExponentWater or ice 0.1Low grass or steppe 0.14Rural with obstacles 0.2Suburb and woodlands 0.25

    ----------------------------------------------------------------------------------------------------------------------Source: Paul Gipe, Wind Energy Comes of Age, John Wiley and Sons Inc, 1995, pp 536.

    ------------------------------------------------------------------------------------------------------------------------

    O

    N O N

    h

    hV V

    N

    O

    N O N

    h

    hV V

    VN: Wind speed at new height,VO: Wind speed at original height,hN: New height,

    hO: Original height,N: Power law exponent.

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    Height Impacts on Power

    1.00

    1.50

    2.00

    2.50

    3.00

    3.50

    0 50 100 150 200 250

    Tower Height, ft

    I n c r e a s e

    C o m p a r e d

    t o 3 0 f t

    Wind Speed IncreaseWind Power Increase

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    Micro-Siting Example:Obstruction of the Wind by a Small Building

    Prevailing wind

    H

    2H 20H

    2HRegion

    of highlydisturbed

    flow

    02770346

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    Basic Wind Turbine Theory

    Lift and Drag The different types ofwind turbines

    Aerodynamics How turbines workPower Curves The performance ofwind turbines

    Power Availability - Power your canget from the wind

    Different types of lift turbines

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    WIND

    PANEMONE TURBINECUPFLAP PLATE

    shield

    rotation

    Aerodynamic Drag

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    Classic Drag Devices

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    Some Modified Drag Devices

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    Aerodynamic Lift

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    Lift Wind Turbines

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    WTG Power Curve

    02468

    1012141618

    0 5 10 15 20 25 30

    Wind Speed (m/s)

    W i n d T u r b i n e

    P o w e r

    ( k W )

    Cut inwind speed

    Ratedwind speed

    Cut outwind speed

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    Important Terms

    Cut in wind speed: The wind speed that the turbinestarts producing power (may be different than thespeed at which the turbine starts spinning)

    Rated Wind Speed: The wind speed at which theturbine is producing rated power though ratedpower is defined by the manufacture

    Cut out wind speed: The wind speed at which theturbine stops producing power

    Shut down wind speed: The wind speed at which theturbine stops to prevent damage

    Survival wind speed: Wind speed that the turbine isdesigned to withstand without falling over

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    Wind Turbine Power CurveBergey 1500 (manufacturers data)

    0

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    1.4

    1.6

    1.8

    0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 23 23 24 25

    Wind Speed (m/s)

    P o w e r

    ( k W )

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    Wind Speed Frequency of OccurrenceAverage Wind Speed: 5 m/s (11 mph)

    0

    200

    400

    600

    800

    1000

    1200

    1400

    1600

    0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 0 2 1 2 2 23 24 2 5

    Wind Speed (m/s)

    T i m e

    ( H o u r s

    )

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    Annual Energy Production: 2643 kWh/year Bergey 1500 @ 5 m/s (11 mph) average wind speed

    0

    50

    100

    150

    200

    250

    300

    350

    400

    450

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

    Wind Speed (m/s)

    E n e r g y ( k

    W h )

    All available energy may not be captured

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    Types of Lift TurbinesHAWT VAWT

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    Basic Properties of HAWT

    Basics of a horizontal axis wind turbine Types of turbines Small distributed turbines Large grid connected turbines

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    Parts of a Wind Turbine

    Rotor

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    Utility-Scale Wind Power 600 - 5,000 kW wind turbines Installed on wind farms, 10 300 MW Professional maintenance crews

    Classes 5 and 6 (> 6 m/s average) Distributed Wind Power

    300 W - 600 kW wind turbines Installed at individual homes, farms,

    businesses, schools, etc. On the customer side of the meter High reliability, low maintenance Classes 2 and 3 (5 m/s average)

    Different Types of Wind Turbines

    1,500 kW

    10 kW

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    Sizes and Applications

    Small ( 10 kW)HomesFarmsRemote Applications

    (e.g. water

    pumping, telecomsites, icemaking)

    Intermediate(10-250 kW)Village Power

    HybridSystemsDistributedPower

    Large (250 kW 2+MW)Central Station WindFarmsDistributed Power

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    PermanentMagnet WTG

    Tail Vane

    Tail Boom

    Nacelle

    Tower Adapter (contains slip rings)

    Alternator (Permanent Magnet)

    Turbine Blade

    Nose Cone

    Tower

    Permanent magnetalternator

    Generates wild AC(variable voltageand frequency)power that must betreated.

    Can provide AC orDC power Passively

    controlled

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    Overspeed Protection of Small WTGDuring High Winds

    Furling : Therotor turns up

    or too one side

    under highwinds

    Used to controlrotor speed

    and poweroutput

    Dynamicactivity

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    Small Wind Turbine Towers

    Guyed lattice and tubetowers are the leastexpensive andmost commonly used towersfor small wind turbines

    Adequate space is neededfor the guy wires and theiranchors

    Free-standing towers are

    used where space is limited

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    Tilt-Up Towers

    Turbine installation inremote areas can be a

    problem.

    To solve this problem: Tilt-up versions of guyed

    towers are available foreasier installation andmaintenance.

    Self erecting technologyalso used wisely

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    The Wind Turbine Controller Battery-Charging

    Converts AC power to DC for battery-charging Regulates the battery voltage to prevent over-

    charging When the battery is fully charged:

    Power is diverted to another load, or The rotor is unloaded and allowed to

    freewheel

    Grid Interconnection Inverter, converts the power to

    constant frequency 60 Hz AC Water Pumping

    Direct connection to the pump

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    Small Wind TurbineMaintenance and Lifetime

    Low maintenance not no maintenance Inspection and maintenance every year: tightening bolts

    and electrical connections, inspecting slip ring brushes,checking for corrosion, etc.

    Between 2 and 4 years: blade leading edge tape mayneed replacement

    Beyond 5-10 years: blade or bearing replacement maybe needed

    Lifetimes of 10 to 20 years are possible Some Jacobs wind turbines have been operating for

    more than 60 years with periodic maintenance!

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    Hot Tips on Small Wind Energy

    Buy ReliabilityBased on experience, I side with the school of heavymetal, those who believe that beefiness ofcomponents is directly related to the longevity of theequipment. M. Sagrillo, small wind turbine expert

    Taller is BetterTaller towers give better performance due to smootherwind and higher wind speeds

    Micro-SitingFor best performance, locate wind turbines above andaway from obstructions to the wind

    0277034

    5

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    AC WTG Induction or

    variablespeedgenerator

    Create ACpowersupplied tothe grid

    Activelycontrolled

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    Control of Large WTG

    Fixed Pitch (Stall regulated) : The shape of the bladevaries over its length so that as wind speed increaseparts of the blade stop producing lift and limit power.

    Variable Pitch : The rotation (pitch) of each blade isindividually controlled to control lift

    Yaw : Motors control yaw behavior based on a winddirection vain, used to shut down wind turbine in highwinds but can also be a source of problems.

    Brake : All wind turbines are required to have two ofthem but there are several types: Aerodynamic: Flaps on the blades that cause drag.Mechanical: Disks or calipers, like your car.Electrical: using the generator to cause electrical resistance.

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    Characteristics of Large WTG

    Power Types Induction (Constant speed) Variable Speed (uses power electronics)Power System Efficiencies

    Aerodynamic Rotor Drive train / gear box

    Generator Power Conversion (if applicable)

    1MW WTG Nacelle

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    1MW WTG Nacelle

    A 27 m Blade

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    A 27 m Blade

    Rotor Area = 2460 m 2 for a 1MW wind turbine

    1.5 MW turbine is now standard

    5 MW Turbines in prototype

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    Policy Encourage economicdevelopment and use

    of local resources facilitate green

    markets Federal, state and

    local incentives suchas the Production TaxCredit (PTC) andRenewable PortfolioStandards (RPS)

    Siting Avian and other

    wildlife Noise

    Visual Impact Land Ownership

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    Transmission Grid Access

    System studies Allocation of availablecapacity

    Scheduling and costs

    for usage (firm andnon-firm)

    External Conditions Lightening Extreme Winds Corrosion Extreme temperatures

    Remote Systems Amount of energyfrom wind

    Control of system

    voltage and frequency Use of excess windenergy

    Intermittency Operational Impacts

    (ancillary services) voltage/VAR control,

    load following, etc.

    10-20% of systemcapacity is reasonable

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    Other General Wind Terms

    Availability : The amount of time that the windturbine is available to produce power (Maintenanceparameter)

    Capacity Factor : The annual energy production ofa wind turbine divided by the theoretical production ifit ran at full rated power all of the time (Resourceparameter) The stronger the resource the higher the Capacity Factor Usually reported monthly or yearly 25-40% is typical, up to 60% has been reported Reason for the only works 1/3 of the time quote.

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    Basic WTG Calculations

    Back of the envelope calculations for windturbine sizing

    1. Turbine size or energy production

    2. Cost of energy3. Turbine capital cost

    Note: Designing a power system that includeswind turbines is not a simple issue andshould not be taken lightly.

    i i bi Si

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    Determining Turbine Size

    There is a direct tradeoff between the size of thegenerator and the amount of power that it will

    produce. If you know one, you can get the other.

    AKWH = CF * AV * GS * 8760 AKWH Annual energy production, kWh/yr CF Capacity Factor (20 to 50%)

    AV Turbine Availability (~95 to 98%)GS Generator Size (rated power), kW8760# of hours in a year

    E l Wh Si d T bi ?

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    Example What Sized Turbine?Your community/home/building/business uses11,250 kWh / year and you want ~ 25% of thatto come from wind.

    AEP = CF * GS * AV * 8760CF 30% = 0.30 (~ 6 mps annual average)

    AV 97% = .97 AEP 11,250 kWh8760 # of hours in a year

    GS = 11250 / ( 0.30 * .97 * 8760 )GS = 4.5 kW

    Of course there are many other factors

    Quick calculation of Annual Energy

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    Quick calculation of Annual EnergyProduction using density

    AKWH = CF * Ar * WM * 8.76 AKWH Annual energy production, kWh/yr

    CF Capacity factor (efficiency factor) Ar Rotor Area, m 2

    WM Wind Map Power, W/m 2

    8.76 1000 hours in a year converts W to kW

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    Levelized Cost of Energy

    COE = (FCR * ICC) + LRC + AOM

    COE = LEVELIZED COST OF ENERGY, $/kWh

    LRC = LEVELIZED REPLACEMENT COST, $/yr(major repairs)

    ICC = INITIAL CAPITAL COST, $FCR = FIXED CHARGE RATE, per year

    AEP = ANNUAL ENERGY PRODUCTION, kWh

    A0M = ANNUAL OPERATION & MAINTENANCE, $/kWh

    AEP

    Turbine Capital Cost

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    Turbine Capital CostHardware Cost $670/kW

    turbine $550/kWtower $120/kW

    Installation Cost $100/kWfoundation, erection, interconnection

    Shipping $70/kW

    Other $100/kWROUND NUMBER $1000/kW

    Costs however are impacted by the market. In 2005the cost of installed wind turbines has increasedto between $1300 and $1400 per kW due to highsteel prices and demand caused by the

    Production Tax Incentive

    COE E l

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    COE Example

    1 MW TURBINEFCR = 10% = 0.10ICC = $1000/kW = $1,000,000LRC = $5,500

    AOM = $0.01/kWh availability elevation AEP = 2,600,000 98% 1000 mCOE = (0.1 * 1,000,000) + 10,000 + 0.01

    2,700,000COE = $0.051 / kWh

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    So, which is better

    1. A location where the wind that blowsonly 50% of the time at 10 m/s but is

    calm the rest of the time2. A location where the wind that blows

    all of the time at 5 m/s

    B 1500 ( f t d t )

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    Bergey 1500 (manufacturers data)

    0

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    1.4

    1.6

    1.8

    0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 23 23 24 25

    Wind Speed (m/s)

    P o w e r

    ( k W )

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    Further Information / ReferencesWeb Based:

    American Wind Energy Association http://www.awea.org/ Wind Powering America

    http://www.eere.energy.gov/windpoweringamerica/ Danish Wind Industry Association guided tour and information.

    http://www.windpower.org/en/tour/Publications:

    Ackermann, T. (Eds), Wind Power in Power Systems , John Wiley andSons, west Sussex, England, p299-330 (2005). Hunter, R., Elliot, G. (Eds), Wind-Diesel Systems . Cambridge, UK:

    Cambridge University Press, 1994. Wind Energy Explained, J. F. Manwell, J. G. McGowan, A. L. Rogers

    John Wiley & Sons Ltd. 2002. Paul Gipe, Wind Energy Basics: A Guide to Small and Micro Wind

    Systems, Real Goods Solar Living Book. AWS Scientific Inc. Wind Resource Assessment Handbook produced

    by for the National Renewable Energy Laboratory, Subcontract numberTAT-5-15283-01, 1997

    Thanks to: Ken Starcher, Alternative Energy Institute, West Texas A&M University