Report Energy Practice CFD Mendoza-Pineres

8/10/2019 Report Energy Practice CFD Mendoza-Pineres

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ENERGY PRACTICE

REPORT SOSE 2014Revenue Expertise for Wind Energy Turbine

Diego Felipe Mendoza Osorio;Luis Daniel Pieres [email protected]; [email protected]


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1

Introduction

The aim of this practice is to determine the economic success of the operation of a wind

turbine based on simulation results and measured data (wind speed). The values for

wind velocity and relative frequency were registered during five years and presented inan excel file with corresponding bar charts.

The results obtained were based on typical performance graphs for different wind

turbine designs, the pressure distribution graph from simulation and economical

parameters for wind turbine operation.

Coefficient of Performance

A first step for the assessment of the wind turbine performance is to generate a diagramfor the coefficient of performance based on nominal values and simulation results. The

given design data for the Wespe wind turbine is shown in table 1.

Table 1. Design parameters for Wespe WT.

Parameter Value [unit]

Blade Radius Wind Turbine 2.125 [m]

Air Density 1.225 [kg/m

3

]

Nominal Wind Speed 12 [m/s]

Rotation per Minute 200 [U/min]

In accordance with the equation for tip speed ratio, for a fixed wind speed v wind= 12m/s,

the tip speed ratio was computed by means of the simulated rotational speed from

CFDSimulationergebnisse shown in the table 2.


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Table 2. CFD Simulation Results and tip speed ratio

CFD SimulationsergebnisseDrehzahl Moment Druckkraft Drehzahl Lambda

n M F w

U/min Nm N Rad/sec Adim.

125 77,7 320,7 13,0899694 2,31801541

130 82,2 337,613,6135682 2,41073603

135 86,5 355,214,1371669 2,50345665

140 90,3 372,814,6607657 2,59617726

145 93,6 390,515,1843645 2,68889788

150 96,9 408,115,7079633 2,7816185

155 99,6 425,6 16,231562 2,87433911

160 102,0 442,916,7551608 2,96705973

165 104,1 460,117,2787596 3,05978034

170 106,1 477,417,8023584 3,15250096

175 107,8 494,818,3259571 3,24522158

180 109,4 512,518,8495559 3,33794219

185 111,0 53019,3731547 3,43066281

190 112,4 59419,8967535 3,52338343

195 113,6 568,220,4203522 3,61610404

200 114,0 58020,943951 3,70882466

205 115,3 60721,4675498 3,80154528

210 115,8 62721,9911486 3,89426589

215 115,9 67422,5147474 3,98698651

220 115,8 667,1

23,0383461 4,07970713

225 115,1 686,923,5619449 4,17242774

230 113,8 70624,0855437 4,26514836

235 112,1 725,7 24,6091425 4,35786898

240 109,0 74425,1327412 4,45058959


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245 106,0 761,425,65634 4,54331021

250 103,2 778,526,1799388 4,63603083

255 99,0 794,2 26,7035376 4,72875144

260 94,0 80927,2271363 4,82147206

265 88,8 822,627,7507351 4,91419268

With each value of, a value of Cp was calculated according to the following equation:

Obtaining the next Cp-Tip speed ratio graph:

Figure 1.Cp vs Tip speed ratio

By means of trend line, the approximated polynomial equation for Cp() was acquired

(figure 1). A comparison between this graph and the plot for different turbine designs

(figure 2) indicates that the wind turbine studied has a similar performance as one Dutch

wind turbine (4 blades). Moreover, it shows that compared to a typical 4 blade wind

turbine, it has a lower performance (les power output).

y = -0,00175740x4+ 0,01244158x3- 0,01676672x2+ 0,02407764x

0

0,02

0,04

0,06

0,08

0,1

0,12

0,14

0,16

0,18

0,2

0 1 2 3 4 5 6 7

Cp

Tip speed ratio ()

Cp Vs Tip speed ratio


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4

Figure 2. Power coefficient versus Tip speed ratio for different wind turbine designs.

Energy yield and revenue calculation.

As a second task of the experiment, with the formula for power coefficient obtained on

the previous task, the power output for the wind data is to be calculated. The wind data

was acquired as a Weibull distribution for 5 years as shown in figure 3, 4 and 5.

0

0,02

0,04

0,06

0,08

0,1

0,5

4,5

8,5

12,5

16,5

20,5

24,5

28,5

32,5

36,5

40,5

44,5

48,5

Hufigkeitsverteilung

Windklassen

Windverteilung fr das Jahr 1

0

0,01

0,02

0,03

0,04

0,05

0,06

0,07

0,5

4,5

8,5

12,5

16,5

20,5

24,5

28,5

32,5

36,5

40,5

44,5

48,5


Windklassen


Figure 3. Wind distribution for the 1st and 2nd year


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Figure 5. Wind distribution for the 5th year.

According to these values, the power obtained from the wind turbine can be estimated

with the respective relative frequency data, and the sum of them is the total power

expected for each year. Each step in the calculation is registered in the table 3, 4, 5, 6

and 7.

Table 3. Calculation of Cp and Power values for each frequency and wind speed for the 1styear.

Frecuency Wind[m/s] nom[rad/sec] Lambda Cp Power[W]

0,025 0,5 20,943951 89,0117918 -101677,948 -2760,89969

0,04 1,5 20,943951 29,6705973 -1051,06358 -1232,92481

0,07 2,5 20,943951 17,8023584 -111,204476 -1056,85199

0,078 3,5 20,943951 12,7159703 -22,7717687 -661,712493

0,084 4,5 20,943951 9,89019908 -6,1804503 -411,065264

0,088 5,5 20,943951 8,09198107 -1,84582182 -234,819603

0,09 6,5 20,943951 6,8470609 -0,49005189 -105,244275

0,083 7,5 20,943951 5,93411945 -0,02690657 -8,18642172

0

0,02

0,04

0,06

0,08

0,1

0,5

4,5

8,5

12,5

16,5

20,5

24,5

28,5

32,5

36,5

40,5

44,5

48,5

Hufigkeits

verteilung

Windklassen


0

0,02

0,04

0,06

0,08

0,1

0,53,56,59,5

12,5

15,5

18,5

21,5

24,5

27,5

30,5

33,5

36,5

39,5

42,5

45,5

48,5


Windklassen


00,010,020,030,040,050,060,070,08

0,5

4,5

8,5

12,5

16,5

20,5

24,5

28,5

32,5

36,5

40,5

44,5

48,5


Windklassen


Figure 4. Wind distribution for the 3rd and 4th years


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0,074 8,5 20,943951 5,23598775 0,13147443 51,9162885

0,067 9,5 20,943951 4,68483114 0,17752753 88,6104964

0,06 10,5 20,943951 4,23865675 0,18101921 109,249042

0,035 11,5 20,943951 3,8700779 0,16899397 78,1639701

0,043 12,5 20,943951 3,56047167 0,15231584 111,15203

0,032 13,5 20,943951 3,29673303 0,13534611 92,5914494

0,031 14,5 20,943951 3,06937213 0,11973261 98,3222885

0,0223 15,5 20,943951 2,87134812 0,10597446 76,4671651

0,0145 16,5 20,943951 2,69732702 0,09409265 53,2536509

0,01734 17,5 20,943951 2,54319405 0,08392365 67,7674956

0,01036 18,5 20,943951 2,4057241 0,07524803 42,8888027

0,0132 19,5 20,943951 2,28235363 0,0678454 57,6994939

0,0026 20,5 20,943951 2,17101931 0,06151582 11,972796

0,0025 21,5 20,943951 2,07004167 0,05608628 12,1083748

0,00021 22,5 20,943951 1,97803982 0,05141062 1,06854674

0,00179 23,5 20,943951 1,89386791 0,04736691 9,56104824

0,0015 24,5 20,943951 1,81656718 0,04385406 8,40568549

0,0013 25,5 20,943951 1,74532925 0,04078845 7,63967593

0,0071 26,5 20,943951 1,67946777 0,03810094 43,7426887

0,00051 27,5 20,943951 1,61839621 0,03573426 3,29326621

0,00036 28,5 20,943951 1,56161038 0,03364087 2,43600498

0,00025 29,5 20,943951 1,50867444 0,03178122 1,77235402

0,00014 30,5 20,943951 1,4592097 0,03012226 1,03965417

0,00013 31,5 20,943951 1,41288558 0,02863629 1,01103353

0,00003 32,5 20,943951 1,36941218 0,02730002 0,24429137

0,00002 33,5 20,943951 1,32853421 0,02609379 0,17048078

0,00002 34,5 20,943951 1,29002597 0,02500094 0,17840929

0,00001 35,5 20,943951 1,25368721 0,0240073 0,09332592

0,00001 36,5 20,943951 1,21933961 0,02310079 0,09760661

0 37,5 20,943951 1,18682389 0,02227104 0

0 38,5 20,943951 1,1559973 0,02150917 0

0 39,5 20,943951 1,12673154 0,02080749 0

0 40,5 20,943951 1,09891101 0,02015938 0

0 41,5 20,943951 1,07243123 0,01955906 0

0 42,5 20,943951 1,04719755 0,01900153 00 43,5 20,943951 1,02312404 0,01848241 0

0 44,5 20,943951 1,00013249 0,01799786 0

0 45,5 20,943951 0,97815156 0,01754452 0

0 46,5 20,943951 0,95711604 0,01711941 0

0 47,5 20,943951 0,93696623 0,01671992 0

0 48,5 20,943951 0,91764734 0,01634373 0

0 49,5 20,943951 0,89910901 0,01598879 0


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In order to have a real approximation, the negative values of power were discarded.

The total power for the first year was 1.032KW. In order to have the energy estimated,

for the economic calculations, the power was multiplied by the time, this means:

The same procedure was performed for each year.

Table 4. Calculation of Cp and Power values for each frequency and wind speed for the 2nd year.

Frequency Wind [m/sec] nom[rad/sec] Lambda Cp Power [W]

0,005 0,5 20,943951 89,0117918 -101677,948 -552,179939

0,013 1,5 20,943951 29,6705973 -1051,06358 -400,700563

0,025 2,5 20,943951 17,8023584 -111,204476 -377,447138

0,028 3,5 20,943951 12,7159703 -22,7717687 -237,537818

0,034 4,5 20,943951 9,89019908 -6,1804503 -166,383559

0,04 5,5 20,943951 8,09198107 -1,84582182 -106,736183

0,046 6,5 20,943951 6,8470609 -0,49005189 -53,7915183

0,053 7,5 20,943951 5,93411945 -0,02690657 -5,22747411

0,054 8,5 20,943951 5,23598775 0,13147443 37,8848592

0,058 9,5 20,943951 4,68483114 0,17752753 76,7075939

0,06 10,5 20,943951 4,23865675 0,18101921 109,249042

0,06 11,5 20,943951 3,8700779 0,16899397 133,995377

0,06 12,5 20,943951 3,56047167 0,15231584 155,095856

0,06 13,5 20,943951 3,29673303 0,13534611 173,608968

0,051 14,5 20,943951 3,06937213 0,11973261 161,756023

0,0474 15,5 20,943951 2,87134812 0,10597446 162,535589

0,0437 16,5 20,943951 2,69732702 0,09409265 160,495486

0,034 17,5 20,943951 2,54319405 0,08392365 132,877442

0,036 18,5 20,943951 2,4057241 0,07524803 149,03445

0,032 19,5 20,943951 2,28235363 0,0678454 139,877561

0,026 20,5 20,943951 2,17101931 0,06151582 119,72796

0,025 21,5 20,943951 2,07004167 0,05608628 121,0837480,021 22,5 20,943951 1,97803982 0,05141062 106,854674

0,0179 23,5 20,943951 1,89386791 0,04736691 95,6104824

0,015 24,5 20,943951 1,81656718 0,04385406 84,0568549

0,013 25,5 20,943951 1,74532925 0,04078845 76,3967593

0,01 26,5 20,943951 1,67946777 0,03810094 61,6094207

0,01 27,5 20,943951 1,61839621 0,03573426 64,5738473

0,006 28,5 20,943951 1,56161038 0,03364087 40,600083


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8

0,005 29,5 20,943951 1,50867444 0,03178122 35,4470804

0,004 30,5 20,943951 1,4592097 0,03012226 29,7044049

0,003 31,5 20,943951 1,41288558 0,02863629 23,331543

0,003 32,5 20,943951 1,36941218 0,02730002 24,4291369

0,002 33,5 20,943951 1,32853421 0,02609379 17,0480775

0,002 34,5 20,943951 1,29002597 0,02500094 17,8409285

0,001 35,5 20,943951 1,25368721 0,0240073 9,33259166

0,0001 36,5 20,943951 1,21933961 0,02310079 0,9760661

0 37,5 20,943951 1,18682389 0,02227104 0

0 38,5 20,943951 1,1559973 0,02150917 0

0 39,5 20,943951 1,12673154 0,02080749 0

0 40,5 20,943951 1,09891101 0,02015938 0

0 41,5 20,943951 1,07243123 0,01955906 0

0 42,5 20,943951 1,04719755 0,01900153 0

0 43,5 20,943951 1,02312404 0,01848241 0

0 44,5 20,943951 1,00013249 0,01799786 0

0 45,5 20,943951 0,97815156 0,01754452 0

0 46,5 20,943951 0,95711604 0,01711941 0

0 47,5 20,943951 0,93696623 0,01671992 0

0 48,5 20,943951 0,91764734 0,01634373 0

0 49,5 20,943951 0,89910901 0,01598879 0

The total power for the second year was 2.521KW. In order to have the energy

estimated, for the economic calculations, the power was multiplied by the time, this

means:

Table 5.Calculation of Cp and Power values for each frequency and wind speed for the 3rd year

Frequency Wind[m/sec] nom[rad/sec] Lambda Cp Power [W]

0,00785 0,5 20,943951 89,0117918 -101677,948 -866,922504

0,023 1,5 20,943951 29,6705973 -1051,06358 -708,931765

0,037 2,5 20,943951 17,8023584 -111,204476 -558,621765

0,04928 3,5 20,943951 12,7159703 -22,7717687 -418,06656

0,06034 4,5 20,943951 9,89019908 -6,1804503 -295,281881

0,064 5,5 20,943951 8,09198107 -1,84582182 -170,777893

0,0746 6,5 20,943951 6,8470609 -0,49005189 -87,2358101

0,0753 7,5 20,943951 5,93411945 -0,02690657 -7,4269585

0,0754 8,5 20,943951 5,23598775 0,13147443 52,8984886

0,0758 9,5 20,943951 4,68483114 0,17752753 100,24889

0,064 10,5 20,943951 4,23865675 0,18101921 116,532312

0,068 11,5 20,943951 3,8700779 0,16899397 151,861428


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0,056 12,5 20,943951 3,56047167 0,15231584 144,756132

0,05 13,5 20,943951 3,29673303 0,13534611 144,67414

0,041 14,5 20,943951 3,06937213 0,11973261 130,039156

0,03474 15,5 20,943951 2,87134812 0,10597446 119,124185

0,03437 16,5 20,943951 2,69732702 0,09409265 126,229516

0,024 17,5 20,943951 2,54319405 0,08392365 93,7958417

0,01736 18,5 20,943951 2,4057241 0,07524803 71,8677235

0,0155 19,5 20,943951 2,28235363 0,0678454 67,7531937

0,0126 20,5 20,943951 2,17101931 0,06151582 58,0220114

0,01025 21,5 20,943951 2,07004167 0,05608628 49,6443367

0,007 22,5 20,943951 1,97803982 0,05141062 35,6182247

0,005179 23,5 20,943951 1,89386791 0,04736691 27,6629435

0,00315 24,5 20,943951 1,81656718 0,04385406 17,6519395

0,00213 25,5 20,943951 1,74532925 0,04078845 12,5173152

0,0011 26,5 20,943951 1,67946777 0,03810094 6,77703628

0,00121 27,5 20,943951 1,61839621 0,03573426 7,81343552

0,0006 28,5 20,943951 1,56161038 0,03364087 4,0600083

0,0005 29,5 20,943951 1,50867444 0,03178122 3,54470804

0,0004 30,5 20,943951 1,4592097 0,03012226 2,97044049

0,00023 31,5 20,943951 1,41288558 0,02863629 1,78875163

0,00013 32,5 20,943951 1,36941218 0,02730002 1,05859593

0,00002 33,5 20,943951 1,32853421 0,02609379 0,17048078

0,00002 34,5 20,943951 1,29002597 0,02500094 0,17840929

0,000081 35,5 20,943951 1,25368721 0,0240073 0,75593992

0,00001 36,5 20,943951 1,21933961 0,02310079 0,09760661

0 37,5 20,943951 1,18682389 0,02227104 0

0 38,5 20,943951 1,1559973 0,02150917 0

0 39,5 20,943951 1,12673154 0,02080749 0

0 40,5 20,943951 1,09891101 0,02015938 0

0 41,5 20,943951 1,07243123 0,01955906 0

0 42,5 20,943951 1,04719755 0,01900153 0

0 43,5 20,943951 1,02312404 0,01848241 0

0 44,5 20,943951 1,00013249 0,01799786 0

0 45,5 20,943951 0,97815156 0,01754452 0

0 46,5 20,943951 0,95711604 0,01711941 00 47,5 20,943951 0,93696623 0,01671992 0

0 48,5 20,943951 0,91764734 0,01634373 0

0 49,5 20,943951 0,89910901 0,01598879 0

The total power for the Third year was 1.550KW. In order to have the energy estimated,



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Table 6.Calculation of Cp and Power values for each frequency and wind speed for the 4th year

Frequency Wind[m/sec] nom[rad/sec] Lambda Cp Power[W]

0,002785 0,5 20,943951 89,0117918 -101677,948 -307,5642260,00923 1,5 20,943951 29,6705973 -1051,06358 -284,4974

0,01837 2,5 20,943951 17,8023584 -111,204476 -277,348157

0,02928 3,5 20,943951 12,7159703 -22,7717687 -248,39669

0,04034 4,5 20,943951 9,89019908 -6,1804503 -197,409199

0,064 5,5 20,943951 8,09198107 -1,84582182 -170,777893

0,0746 6,5 20,943951 6,8470609 -0,49005189 -87,2358101

0,06753 7,5 20,943951 5,93411945 -0,02690657 -6,66059107

0,0754 8,5 20,943951 5,23598775 0,13147443 52,8984886

0,0758 9,5 20,943951 4,68483114 0,17752753 100,24889

0,0764 10,5 20,943951 4,23865675 0,18101921 139,110447

0,07468 11,5 20,943951 3,8700779 0,16899397 166,77958

0,07056 12,5 20,943951 3,56047167 0,15231584 182,392727

0,065 13,5 20,943951 3,29673303 0,13534611 188,076382

0,049 14,5 20,943951 3,06937213 0,11973261 155,41265

0,043474 15,5 20,943951 2,87134812 0,10597446 149,073253

0,043437 16,5 20,943951 2,69732702 0,09409265 159,529575

0,0324 17,5 20,943951 2,54319405 0,08392365 126,624386

0,02736 18,5 20,943951 2,4057241 0,07524803 113,266182

0,02155 19,5 20,943951 2,28235363 0,0678454 94,198795

0,01426 20,5 20,943951 2,17101931 0,06151582 65,6661812

0,01025 21,5 20,943951 2,07004167 0,05608628 49,6443367

0,007 22,5 20,943951 1,97803982 0,05141062 35,6182247

0,005179 23,5 20,943951 1,89386791 0,04736691 27,6629435

0,004315 24,5 20,943951 1,81656718 0,04385406 24,1803552

0,00213 25,5 20,943951 1,74532925 0,04078845 12,5173152

0,0011 26,5 20,943951 1,67946777 0,03810094 6,77703628

0,00121 27,5 20,943951 1,61839621 0,03573426 7,81343552

0,0006 28,5 20,943951 1,56161038 0,03364087 4,0600083

0,0005 29,5 20,943951 1,50867444 0,03178122 3,54470804

0,0004 30,5 20,943951 1,4592097 0,03012226 2,97044049

0,00023 31,5 20,943951 1,41288558 0,02863629 1,78875163

0,00013 32,5 20,943951 1,36941218 0,02730002 1,05859593

0,00002 33,5 20,943951 1,32853421 0,02609379 0,17048078

0,00002 34,5 20,943951 1,29002597 0,02500094 0,17840929

0,000081 35,5 20,943951 1,25368721 0,0240073 0,75593992

0,00001 36,5 20,943951 1,21933961 0,02310079 0,09760661


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0 37,5 20,943951 1,18682389 0,02227104 0

0 38,5 20,943951 1,1559973 0,02150917 0

0 39,5 20,943951 1,12673154 0,02080749 0

0 40,5 20,943951 1,09891101 0,02015938 0

0 41,5 20,943951 1,07243123 0,01955906 0

0 42,5 20,943951 1,04719755 0,01900153 0

0 43,5 20,943951 1,02312404 0,01848241 0

0 44,5 20,943951 1,00013249 0,01799786 0

0 45,5 20,943951 0,97815156 0,01754452 0

0 46,5 20,943951 0,95711604 0,01711941 0

0 47,5 20,943951 0,93696623 0,01671992 0

0 48,5 20,943951 0,91764734 0,01634373 0

0 49,5 20,943951 0,89910901 0,01598879 0

The total power for the fourth year was 1.872KW. In order to have the energy estimated,for the economic calculations, the power was multiplied by the time, this means:

Table 7.Calculation of Cp and Power values for each frequency and wind speed for the 5th year

Frequency Wind[m/s] nom[rad/sec] Lambda Cp Power[W]

0,001785 0,5 20,943951 89,0117918 -101677,948 -197,128238

0,00923 1,5 20,943951 29,6705973 -1051,06358 -284,4974

0,01937 2,5 20,943951 17,8023584 -111,204476 -292,446043

0,034928 3,5 20,943951 12,7159703 -22,7717687 -296,311461

0,046034 4,5 20,943951 9,89019908 -6,1804503 -225,273552

0,0564 5,5 20,943951 8,09198107 -1,84582182 -150,498018

0,06746 6,5 20,943951 6,8470609 -0,49005189 -78,8864309

0,0753 7,5 20,943951 5,93411945 -0,02690657 -7,4269585

0,08754 8,5 20,943951 5,23598775 0,13147443 61,4155662

0,083758 9,5 20,943951 4,68483114 0,17752753 110,773701

0,084 10,5 20,943951 4,23865675 0,18101921 152,948659

0,0768 11,5 20,943951 3,8700779 0,16899397 171,514083

0,0756 12,5 20,943951 3,56047167 0,15231584 195,420779

0,065 13,5 20,943951 3,29673303 0,13534611 188,076382

0,0541 14,5 20,943951 3,06937213 0,11973261 171,588252

0,043474 15,5 20,943951 2,87134812 0,10597446 149,073253

0,039437 16,5 20,943951 2,69732702 0,09409265 144,838913

0,0264 17,5 20,943951 2,54319405 0,08392365 103,175426

0,021736 18,5 20,943951 2,4057241 0,07524803 89,9836888

0,0155 19,5 20,943951 2,28235363 0,0678454 67,7531937


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0,0126 20,5 20,943951 2,17101931 0,06151582 58,0220114

0,0071025 21,5 20,943951 2,07004167 0,05608628 34,3998928

0,0037 22,5 20,943951 1,97803982 0,05141062 18,8267759

0,0035179 23,5 20,943951 1,89386791 0,04736691 18,7903976

0,001315 24,5 20,943951 1,81656718 0,04385406 7,36898428

0,0008213 25,5 20,943951 1,74532925 0,04078845 4,82651218

0,000411 26,5 20,943951 1,67946777 0,03810094 2,53214719

0,00121 27,5 20,943951 1,61839621 0,03573426 7,81343552

0,00016 28,5 20,943951 1,56161038 0,03364087 1,08266888

0,00005 29,5 20,943951 1,50867444 0,03178122 0,3544708

0,00004 30,5 20,943951 1,4592097 0,03012226 0,29704405

0,000023 31,5 20,943951 1,41288558 0,02863629 0,17887516

0,000013 32,5 20,943951 1,36941218 0,02730002 0,10585959

0,000002 33,5 20,943951 1,32853421 0,02609379 0,01704808

0,000002 34,5 20,943951 1,29002597 0,02500094 0,01784093

0,0000081 35,5 20,943951 1,25368721 0,0240073 0,07559399

0,000001 36,5 20,943951 1,21933961 0,02310079 0,00976066

0 37,5 20,943951 1,18682389 0,02227104 0

0 38,5 20,943951 1,1559973 0,02150917 0

0 39,5 20,943951 1,12673154 0,02080749 0

0 40,5 20,943951 1,09891101 0,02015938 0

0 41,5 20,943951 1,07243123 0,01955906 0

0 42,5 20,943951 1,04719755 0,01900153 0

0 43,5 20,943951 1,02312404 0,01848241 0

0 44,5 20,943951 1,00013249 0,01799786 0

0 45,5 20,943951 0,97815156 0,01754452 0

0 46,5 20,943951 0,95711604 0,01711941 0

0 47,5 20,943951 0,93696623 0,01671992 0

0 48,5 20,943951 0,91764734 0,01634373 0

0 49,5 20,943951 0,89910901 0,01598879 0

The total power for the fifth year was 1.761KW. In order to have the energy estimated,


The total energy yield for the 5 years is obtained by the summation of the energy

gathered in each year.


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The maximum power output expected is:

For this small wind turbine, the investment cost is estimated to be around 15 000 , the

feed in tariff for the energy produced for grid connected wind turbines is about 0.08

/kWh produced, the incomes due to energy harvesting during the five years (withoutconsidering variation of feed in tariff) is then:

And the incomes in average per year:

Without considering maintenance and energy productions costs, the investment will be

returned in a period of:

Considering the costs for energy production, operation and maintenance for a small

wind turbine of 55 kW (Morthorst), around 0.03

/kWh, then the O&M costs during thefive years will be:

And O&M costs in average per year

Then the profit per year of operation of the wind turbine yields:

For this case the return of investment period is:


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In conclusion, the operation of the small wind turbine is not economical feasible.

Considering that in a typical wind turbine project the period for return of investment is

around 5-8 years, including costs and depreciations. Our small wind turbine will take a

long period of time to be economical profitable.

Bibliography

Wind Energy-The Facts Volume 2: Cost and Prices. Morthorst, Poul Erik.p. 9.

Documents

Report Energy Practice CFD Mendoza-Pineres