Wind Micro Generation Rui Bernardo

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    Wind MicrogenerationWind Microgeneration

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    Overview

    1. Structuring the study

    2. Wind behavior

    3. Modeling the wind

    4. Electricity production estimation

    5. Economic evaluation

    6. Results

    7. Conclusions

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    1. Structuring the study

    Wind data(ms-1 vs. hours)

    Generator data(kW vs. ms-1)

    Tariff( vs. kWh)

    Electricity(kWh)

    NPV()

    Investment()

    Maintenance()

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    2. Wind behavior

    Wind varies in speed (modulus and direction)

    In timeIn time

    Lisbon, November

    Modulus

    Direction

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    2. Wind behavior

    In spaceIn space

    Modulus Direction

    Wind varies in speed (modulus and direction)

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    3. Modeling the wind

    Anemometer

    GPRS Network

    The best way

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    3. Modeling the wind

    0,00000

    0,02000

    0,04000

    0,06000

    0,08000

    0,10000

    0,12000

    f(u)

    1 3 5 7 9 11 13 15 17 19 21 23 25

    Wind speed [m/s]

    Distribution of wind speed over a year

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    3. Modeling the wind

    Without accurate data

    2

    422

    !avgu

    u

    avg

    euuuf

    T

    T

    Wind speed(m/s)

    Annual averagewind speed (m/s)

    Rayleigh Distribution

    ProbabilityDistribution for

    wind speed

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    3. Modeling the wind

    ResendeDistrict of Viseu

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    3. Modeling the wind

    2

    4

    22

    ! avguu

    avg

    euuuf

    T

    Tuavg=5 ms-1

    Distribution probability of wind speed

    0,00000

    0,05000

    0,10000

    0,15000

    0,20000

    0 5 10 15 20 25 30

    wind speed (u) [m/s]

    f(u)

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    Distribution probability of wind speed

    0,00000

    0,05000

    0,10000

    0,15000

    0,20000

    0 5 10 15 20 25 30

    wind speed (u) [m/s]

    f(u)

    4. Electricity production estimation

    0,1

    P [kW] f[P(u)]

    0,1 0.15

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    4. Electricity production estimation

    Considered modelsBornay 1500 W Chinese model 2 kWBornay 3000 W

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    !

    vv!26

    0

    8760

    ueyear uPufE

    4. Electricity production estimation

    u [ms-1] f(u)

    0 0,00000

    1 0,06089

    2 0,11082

    3 0,14207

    4 0,15203

    5 0,14324

    6 0,12166

    7 0,09435

    8 0,06731

    9 0,04439

    10 0,02715

    11 0,01544

    12 0,00818

    13 0,00404

    14 0,00186

    15 0,00080

    16 0,00032

    17 0,00012

    18 0,00004

    19 0,00001

    20 0,00000

    Pe [W]

    0,00

    0,00

    0,00

    120,00

    180,00

    240,00

    360,00

    600,00

    720,00

    840,00

    960,00

    1080,00

    1200,00

    1260,00

    1320,00

    1080,00

    1020,00

    1080,00

    0,00

    0,00

    0,00

    Pe [W]

    0,00

    0,00

    0,00

    240,00

    360,00

    480,00

    720,00

    1200,00

    1440,00

    1680,00

    1920,00

    2160,00

    2400,00

    2520,00

    2640,00

    2160,00

    2040,00

    2160,00

    0,00

    0,00

    0,00

    Bornay1500

    Pe [W]

    0,00

    0,00

    0,00

    80,00

    100,00

    160,00

    200,00

    300,00

    400,00

    540,00

    800,00

    1000,00

    1600,00

    1800,00

    2400,00

    2000,00

    1600,00

    1400,00

    1000,00

    800,00

    600,00

    Bornay3000

    Chinesemodel

    Bornay1500

    Bornay3000

    ChineseModel

    Eyear[kWh]

    2.859,092 5.718,184 1.904,041

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    5. Economic evaluation

    Remuneration applied to MG units is stated in the law *

    First 10 MW set is remunerated at 70% of 650 /MWh (T1-5}455 /MWh) on the first

    5 years of operation

    Annual limit starts at 10 MW in the 1st year and increases 20% every following

    year

    Every additional set of licensed 10 MW implies a reduction of 5% in the tariff

    After 5 years the remuneration is updated every year until it reaches the normaltariff or until 15 years of operation

    Installation takes place in 2008

    Annual power limit is always reached

    Equipment has a total life time of, at least, 20 years

    Assumptions for this study

    *Decreto-Lei 363/2007, 1 srie n 211, 2 Novembro 2007

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    5. Economic evaluation

    Remuneration ov

    er the life time

    T1-5 T6-15 T16-

    Year ofinstallation

    (2008)

    ri=455 /MWh

    2013 2023

    si=Decreasingtariff

    ni=110 /MWh

    n [year] Remuneration [/MWh]

    6,0 317,743

    7,0 286,763

    8,0 245,864

    9,0 200,258

    10,0 154,956

    11,0 113,907

    12,0 110,000

    13,0 110,000

    14,0 110,000

    15,0 110,000

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    5. Economic evaluation

    Turbinecontroller

    InverterExportmeter

    Importmeter

    Basic equipment

    Solar panel(2 m2) *

    * Obliged by the law for microgeneration

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    5. Economic evaluation

    Investment

    Bornay 1500[]

    Bornay 3000[]

    Chinesemodel 2 kW

    Turbine 4.856 6.954 572Inverter 1.230 1.230 220

    Tower 2.275 2.275 353

    Solar thermal * 2.108 2.108 2.108

    TOTAL 10.199,00 12.587,00 3.253,60

    Not including meters and licensing

    Maintenance costs (OM): around 2% of installation costs

    Maintenance

    * Conergy TS

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    5. Economic Evaluation

    Net Present Value (NPV):

    t

    j

    jj

    j

    jj

    j

    jjI

    a

    OMN

    a

    OMS

    a

    OMRNPV

    v

    v

    v! !!!

    20

    16

    15

    6

    5

    1 1

    1)(

    1

    1)(

    1

    1)(

    EyearxT1-5 Discount rate=8% EyearxT6-15 EyearxT16-

    InvestmentOperation and

    Maintenance (2%)

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    6. Results

    NPV for 5 years

    -12.000,00

    -10.000,00

    -8.000,00

    -6.000,00

    -4.000,00

    -2.000,00

    0,00

    0,00 1,00 2,00 3,00 4,00 5,00 6,00

    n [years]

    NPV []

    Bornay 1500

    Bornay 3000

    Chinese

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    6. Results

    NPV for 20 years

    -12.000,00

    -10.000,00

    -8.000,00

    -6.000,00

    -4.000,00

    -2.000,00

    0,00

    2.000,00

    4.000,00

    0,00 5,00 10,00 15,00 20,00 25,00

    n [years]

    NPV []Bornay 1500

    Bornay 3000

    Chinese

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    7. Conclusions

    Economic viability of a wind microgeneration unit depends onan accurate knowledge of resource, of turbines and of theirrelation

    The most suitable turbine for a certain place can be theworst for a different location!

    From the considered models

    Bornay 1500 is the worst option, since never gives a positiveNPV for the whole considered life time period

    Chinese model gives positive NPV earlier, but Bornay 3000offers more guarantees

    NPV can be greater since normal tariff is not being affectedby inflation rate

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    7. Conclusions

    1921-1924

    William Arthur Ward

    the pessimistcomplains aboutthe wind;

    the optimist expectsit to change;

    the realist adjuststhe sails.