UNIVERSITATEA POLITEHNICA DIN BUCURETIFACULTATEA DE ENERGETIC

TEMA 1 Estimarea potentialului eolian

Serghei OborocMS9

2014NC=17Sa se estimeze potentialul eolian pentru un amplasament dat, cota de instalare a turbinei fiind 100+2*NC.Etapa 1

Datele referitoare la viteza vantului si directive sunt dupa cum urmeaza:Nr. CrtDirectievantVitezavant

gradem/s

theta0vv

197,252

293,256,6

389,259,4

491,259,6

595,259,4

693,257

7101,254,8

8108,255,2

9114,254,8

10103,255,4

1198,257,2

1282,2513,8

1386,2514,4

1494,2510,6

1588,2511,2

16101,252,8

1790,257,8

1897,255,6

1995,257,4

2095,259,2

2196,257,8

22105,254

2391,255

24104,250,6

2587,258,2

2697,255,6

2781,259

2891,258,6

29101,255,2

3098,256,2

31100,257

32111,255

33117,253,4

34104,255

35102,256,2

3697,255,6

3779,2511

3882,2510,4

3984,256,2

4069,254,8

4169,256,2

4285,258,8

4396,255,8

4495,257,2

4599,253,6

46103,251,6

47107,252

48103,250,8

4995,251,6

50116,250,2

51148,250,6

52157,251,8

53215,250

54237,250,2

55188,250,6

56237,252,2

5779,250,6

5891,250,6

5999,252,2

60170,254,4

61137,250,8

62122,250,8

63106,251,4

64111,251

65117,252

66110,252,6

67108,251,6

68114,251,8

69145,250,4

70124,251,2

71205,250,8

7235,250,8

7363,253,6

74185,259,2

75325,252

76177,2511

7796,2513

7852,253,4

79103,254,6

80110,254,2

81122,254,2

82124,252,6

83275,254,6

84279,251

85274,251

86270,251,4

87223,252,6

88202,251,4

89237,252,8

90137,250,2

91184,252,4

92311,251,4

93203,252,6

94184,250,2

95186,250,4

96227,253,2

97241,252,8

98232,254,2

99249,254,2

100244,254,4

101226,255,8

102241,253,2

zr = 10 mz = 100 * 2 N = 134 [m]

Viteze la cota Z=134 [m]:5.36, 8.70, 10.56, 10.69, 10.56, 8.97, 7.44, 7.73, 7.44, 7.87, 9.11, 13.32, 13.68, 11.33, 11.71, 5.98, 9.51, 8.01, 9.24, 10.43, 9.51, 6.87, 7.59, 4.24, 9.77, 8.01, 10.30, 10.04, 7.73, 8.42, 8.97, 7.59, 6.43, 7.59, 8.42, 8.01, 11.58, 11.20, 8.42, 7.44, 8.42, 10.17, 8.15, 9.11, 6.57, 5.05, 5.36, 4.40, 5.05, 3.56, 3.20, 2.06, 3.73, 3.56, 3.20, 2.06, 3.73, 3.56, 4.24, 4.24, 5.52, 7.16, 4.40, 4.40, 4.89, 4.57, 5.36, 5.82, 5.05, 5.21, 4.07, 4.73, 3.02, 4.40, 6.57, 10.43, 1.86, 11.58, 12.83, 6.43, 7.30, 7.01, 5.82, 7.30, 4.57, 2.84, 2.46, 1.20, 2.46, 0.96, 3.90, 5.67, 4.89, 5.82, 3.56, 3.38, 6.28, 5.98, 7.01, 7.01, 7.16, 8.15, 6.28 .

Etapa 2 Valorile extreme ale vitezei vmax, vmin

M=max(v)m=min(v)

Valoareamedie a vitezei

Dispersia

Covariana

Asimetria

Coeficient asimetric

Viteza medie a vantuluiVm = 6.77 [m/s] Viteza maxima a vantului M =13.68 [m/s] Viteza minima a vantului m = 0.96[m/s] VariatiaVar (V) =7.9516 Deviatia = 2.8198 Coeficentul de variatie = 0.4164 Asimetria = 4.4811 Coeficentul de asimetrie = 0.19985

Etapa 3

Viteze [m/s] la cota z (ordonate) =0.96, 1.2, 1.65, 1.86, 2.06, 2.46, 2.46, 2.84, 3.02, 3.20, 3.38, 3.56, 3.56, 3.56, 3.73, 3.90, 4.07, 4.24, 4.24, 4.24, 4.24, 4.40, 4.40, 4.40, 4.40, 4.57, 4.57, 4.73, 4.89, 4.89, 5.05, 5.05, 5.05, 5.21, 5.36, 5.36, 5.36, 5.52, 5.67, 5.82, 5.82, 5.82, 5.98, 5.98, 6.28, 6.28, 6.43, 6.43, 6.57, 6.57, 6.87, 7.01, 7.01, 7.01, 7.01, 7.16, 7.16, 7.30, 7.30, 7.44, 7.44, 7.44, 7.59, 7.59, 7.59, 7.73, 7.73, 7.87, 8.01, 8.01, 8.01, 8.15, 8.15, 8.42, 8.42, 8.42, 8.42, 8.70, 8.97, 9.11, 9.11, 9.24, 9.51, 9.51, 9.77, 10.04, 10.17, 10.3, 10.43, 10.43, 10.56, 10.56, 10.69, 11.2, 11.33, 11.58, 11.58, 11.71, 12.83, 13.32, 13.68 .

Se construiete curba de frecven i curba de asigurare a vitezei vntului.

F(v)= 8760*exp[-(

k =k0* - parametru de form;

k0 = 0.9120,73 ; Aleg k0=0.912k=0.912*= 2,37

c = - parametru de scarc= = 7.635 m/s

T0 = 8760 Tc- timpul de asigurare pentru viteza 0 a vntului

Tc =3050*vm-1.65 durata calmului

Tc = 3050*6.77- 1.65 = 129.91 h/anT0 = 8760 141.99= 8630.09 h/an

a= - c* (log - parametru de localizarea= - 7.635 * (log = -1.29886 m/sFF(v)kTCT0acFa(v)

ore/anh/anh/anore/an

22082.37129.918630.09-1.29887.2371382.59

FF(v)FA(v)

ore/anore/an

284,7409264250,096947

176,2934741315,582541

124,990309510,4506732

121,867575473,9802816

124,990309510,4506732

168,0837451161,312256

216,5964422206,093847

207,2079011979,166108

216,5964422206,093847

202,5980461872,054939

164,0883751089,652057

70,694504982,21498105

65,310268162,12464755

107,271224323,0207068

99,2923478254,0333026

265,5432013591,222151

152,545103895,3863097

198,0487921769,137144

160,1666621021,51248

128,182922549,2556806

152,545103895,3863097

235,9293382710,979131

211,8752312090,504747

313,3274055496,326028

145,219351782,0910634

198,0487921769,137144

131,446197590,5025234

138,187567680,7567702

207,2079011979,166108

184,7898051485,053941

168,0837451161,312256

211,8752312090,504747

250,7310953133,444721

211,8752312090,504747

184,7898051485,053941

198,0487921769,137144

101,88945275,4465101

110,057986349,3617433

184,7898051485,053941

216,5964422206,093847

184,7898051485,053941

134,780859634,2997221

193,5628451670,368355

164,0883751089,652057

245,7830982988,566053

293,8023024596,769766

284,7409264250,096947

309,9057995313,956436

293,8023024596,769766

323,3176366226,619163

325,2800756586,127257

310,4624867594,548045

321,4805066044,770243

323,3176366226,619163

313,3274055496,326028

294,6550567892,747203

313,3274055496,326028

313,3274055496,326028

280,0467134080,726799

226,1835442450,054839

309,9057995313,956436

309,9057995313,956436

298,1228194773,541186

306,2066715132,464626

284,7409264250,096947

270,4308583751,087239

293,8023024596,769766

289,3334864422,196234

316,4293895679,190485

302,2677354952,212607

325,244256762,809692

309,9057995313,956436

245,7830982988,566053

128,182922549,2556806

303,4886417746,683871

101,88945275,4465101

78,5375748118,0853146

250,7310953133,444721

221,3674342325,944456

231,0394962578,409655

231,0394962578,409655

270,4308583751,087239

221,3674342325,944456

306,2066715132,464626

324,4040726936,765454

319,8439387274,368682

269,9525228164,385929

319,8439387274,368682

253,0043238288,935032

319,1646735862,146377

275,2707273914,319385

298,1228194773,541186

270,4308583751,087239

323,3176366226,619163

324,6093136407,231421

255,6809693282,259023

265,5432013591,222151

231,0394962578,409655

231,0394962578,409655

226,1835442450,054839

193,5628451670,368355

255,6809693282,259023

Etapa 4

Etapa 5 Parametrul de forma k = 2.37 Parametrul de scara c = 7.635 Paramatrul de localizare a = -1.29886 Viteza minima la care TE incepe sa produca ee Vmin = 3.72453 [m/s] Viteza de instalare ( dimensionare ) Vi = 11.8507[m/s] Viteza maxima de functionare a TE Vmax = 18.6226 [m/s] Puterea cinetica unitara Pcui = 1011.333 [W/m2 ] Coeficient de putere cp = 0.59 Puterea unitara valorificata in punctul de instalare PUI = 596.6868 [W/m2 ]

Etapa 6 t = 85.88235294 Energia cinetica unitara anuala Eca = 2528355.965 [Wh/an] Energia unitara corespunzatoare domeniului incarcarilor partiale Ecu D1 = 104642227 [Wh/m2 an] Energia unitara corespunzatoare domeniului incarcarilor la nivelul puterii de instalare Ecu D2 = 630121.3797 [Wh/m2 an] Energia unitara valorificata intr-un an Ecua = 105272348.4 [Wh/m2 an] Timp total de functionare intr-un an Tt = 7280ore

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