Mono Hidroelectricas - 2012 i - Davila Soria Osmar

DATOS DEL AUTORNOMBRE: OSMAR ADOLFO DAVILA SORIACODIGO: 20072547KCURSO: CENTRALES HIDROELECTRICASCICLO 2012 - I

INSTALACION INVERSIONPresa 0.000 millones USDToma 0.440 millones USDDesarenador 0.139 millones USDTunel a pelo libre 6.181 millones USDTunel a presión 0.000 millones USDCámara de carga 0.993 millones USDChimenea de equilibrio 0.000 millones USDTuberia forzada 11.675 millones USDCasa de máquinas 4.857 millones USD

Total 24.285 millones USDANALISIS 1

TIR 22%ANALISIS 2

COSTO DE ENERGIA 26.02 USD/MWH

Existen 6 opciones de centrales hidroelectricas, que nos salen rentables. Cabe destacar que estas 6 opciones son Centrales Hidroelectricas sin presa. A continuacion presentaremos los datos de la Central que nos ofrece un mejor TIR si lo vemos mediante el primer analisis o el menor costo de energia si lo vemos desde el segundo analisis.

CENTRALES

HIDROELECTRICAS

Opción Trazo Op Margen

PARAMETROS INVERSION

Presa toma

1

1 (A)Sin Presa

Derecha 8.545 150.000 10.254 0.000 0.4402 Izquierda 8.545 150.000 10.254 0.000 0.4403

Con PresaDerecha 16.791 150.000 20.149 51.396 0.000

4 Izquierda 16.791 150.000 20.149 51.396 0.0005

2 (B)Sin Presa



8 Izquierda 21.326 150.000 25.591 65.277 0.0009

3 (C)Sin Presa



12 Izquierda 19.794 250.000 39.588 60.587 0.00013

4 (D)Sin Presa



16 Izquierda 16.791 1000.000 134.328 51.396 0.00017

5 (E.)Sin Presa



20 Izquierda 16.791 1150.000 154.477 51.396 0.00021

6 (F)Sin Presa



24 Izquierda 16.791 800.000 107.462 60.587 0.00025

7 (G)Sin Presa



28 Izquierda 18.017 400.000 57.654 55.148 0.000

CONSIDERACIONES

Precio electricidad 47 USD/MWHFactor de carga 0.65Tiempo de vida 33 años

Caudal de Diseño (m^3/s)

Salto (m)

P (Mw)

INVERSION

Total

0.125 9.122 0.000 0.602 0.000 4.245 3.633 18.1660.125 9.730 0.000 0.602 0.000 4.245 3.785 18.9270.000 0.000 88.727 0.000 1.261 7.575 37.240 186.1990.000 0.000 89.636 0.000 1.179 7.575 37.446 187.2320.146 7.258 0.000 0.747 0.000 5.211 3.450 17.2520.146 7.258 0.000 0.747 0.000 5.211 3.450 17.2520.000 0.000 103.330 0.000 1.637 9.298 44.885 224.4270.000 0.000 103.330 0.000 1.637 9.298 44.885 224.4270.139 6.181 0.000 0.993 0.000 11.675 4.857 24.2850.139 7.555 0.000 0.993 0.000 11.675 5.200 26.0020.000 0.000 132.685 0.000 1.342 20.831 53.861 269.3070.000 0.000 134.494 0.000 1.391 20.831 54.326 271.6290.125 36.487 0.000 10.080 0.000 109.663 39.199 195.9930.125 30.405 0.000 5.096 0.000 109.663 36.432 182.1610.000 0.000 322.865 0.000 1.715 199.892 143.967 719.8350.000 0.000 317.581 0.000 1.685 199.892 142.638 713.1920.125 54.730 0.000 0.000 0.000 139.430 48.681 243.4060.125 48.649 0.000 0.000 0.000 139.430 47.161 235.8040.000 0.000 367.423 0.000 1.758 256.493 169.268 846.3380.000 0.000 362.346 0.000 1.747 256.493 167.995 839.9770.125 34.054 0.000 2.999 0.000 74.732 28.087 140.4360.125 34.054 0.000 2.999 0.000 74.732 28.087 140.4360.000 0.000 279.802 0.000 1.709 133.340 118.860 594.2980.000 0.000 279.802 0.000 1.709 133.340 118.860 594.2980.131 13.453 0.000 1.368 0.000 24.119 9.878 49.3890.131 13.453 0.000 1.368 0.000 24.119 9.878 49.3890.000 0.000 176.055 0.000 1.447 43.035 68.921 344.6050.000 0.000 176.055 0.000 1.447 43.035 68.921 344.605

desarenadores

tunel a pelo libre

tunel a presión

camara de carga

chimenea equilibrio

tubería forzada

casa de máquinas

PRODUCCION PARAMETROS FINANCIEROS (METODO 1) PARAMETROS FINANCIEROS (METODO 2)

TIR USD/MWH TIR

58386.276 2.744 15% 4.16 47.0000 0.1258386.276 2.744 14% 3.40 47.0000 0.12

114729.545 5.392 0% -142.33 47.0000 0.12114729.545 5.392 0% -143.36 47.0000 0.12

74156.378 3.485 20% 11.11 47.0000 0.1274156.378 3.485 20% 11.11 47.0000 0.12

145716.293 6.849 0% -168.71 47.0000 0.12145716.293 6.849 0% -168.71 47.0000 0.12114711.324 5.391 22% 19.58 47.0000 0.12114711.324 5.391 21% 17.86 47.0000 0.12225414.072 10.594 2% -183.12 47.0000 0.12225414.072 10.594 2% -185.44 47.0000 0.12389241.840 18.294 9% -47.16 47.0000 0.12389241.840 18.294 10% -33.33 47.0000 0.12764863.632 35.949 3% -427.38 47.0000 0.12764863.632 35.949 3% -420.74 47.0000 0.12447628.116 21.039 8% -72.25 47.0000 0.12447628.116 21.039 8% -64.65 47.0000 0.12879593.177 41.341 3% -510.02 47.0000 0.12879593.177 41.341 3% -503.65 47.0000 0.12311393.472 14.635 10% -21.37 47.0000 0.12311393.472 14.635 10% -21.37 47.0000 0.12611890.906 28.759 3% -360.33 47.0000 0.12611890.906 28.759 3% -360.33 47.0000 0.12167066.515 7.852 16% 14.49 47.0000 0.12167066.515 7.852 16% 14.49 47.0000 0.12328284.154 15.429 2% -219.08 47.0000 0.12328284.154 15.429 2% -219.08 47.0000 0.12

MWH/Año (f.c. =0.65)

millones USD/Año

VAN (millones de dolares)

En este analisis, fijamos el precio de 47 USD/MWH , y prodecemos a calcular el TIR. El TIR debe ser mayor de 12%

En este analisis, fijamos el TIR en 12% (valor minimo admisible) , y prodecemos a calcular el costo de energia (USD/MWH) el cual debes ser

como maximo 47 USD/MWH que es el valor promedio de venta para entrar a competencia.

PARAMETROS FINANCIEROS (METODO 2)

33.00 2.233 38.2533.00 2.326 39.8533.00 22.888 199.4933.00 23.015 200.6033.00 2.121 28.6033.00 2.121 28.6033.00 27.587 189.3233.00 27.587 189.3233.00 2.985 26.0233.00 3.196 27.8633.00 33.103 146.8633.00 33.389 148.1233.00 24.091 61.8933.00 22.391 57.5333.00 88.482 115.6833.00 87.666 114.6233.00 29.920 66.8433.00 28.985 64.7533.00 104.032 118.2733.00 103.250 117.3833.00 17.262 55.4433.00 17.262 55.4433.00 73.051 119.3933.00 73.051 119.3933.00 6.071 36.3433.00 6.071 36.3433.00 42.359 129.0333.00 42.359 129.03

N (AÑOS)

PAGO ANUAL "A" (millones USD/Año)

COSTO ENERGIA (USD/MWH)

En este analisis, fijamos el TIR en 12% (valor minimo admisible) , y prodecemos a calcular el costo de energia (USD/MWH) el cual debes ser

como maximo 47 USD/MWH que es el valor promedio de venta para entrar a competencia.

CONSIDERACIONES A TOMAR

MES Q (m^3/s)Río

Cota (msnm)Hasta 1400

ENERO 57.1

RA

PA

Y

2000FEBRERO 90.6 2500MARZO 92.8 3000ABRIL 58.9 3500MAYO 32.2 4000JUNIO 18.9 4500JULIO 15.8

PA

TIV

ILC

A 2000AGOSTO 14.7 2500SEPTIEMBRE 15.1 3000OCTUBRE 19.8 3500NOVIEMBRE 25.4 4000DICIEMBRE 36.7

CAUDAL PROMEDIO 39.8 CAUDAL DE ESTIAGE 20.3

TRAZO A (CAUDAL 27.4%)

PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)1 3600 16.7912 3600 16.7913 3450 16.791


TRAZO B (CAUDAL 34.8 %)PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)

1 2550 21.3262 2550 21.3263 2400 21.326


TRAZO C (CAUDAL 32.3%)PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)

1 2800 19.7942 2800 19.7943 2550 19.794


PROMEDIO DE CAUDALES (1980 -2004)

CON PRESA

SIN PRESA

CON PRESA

SIN PRESA

CON PRESA

SIN PRESA

TRAZO D (CAUDAL 27.4%)PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)

1 3600 16.7912 3600 16.7913 2600 16.791


CON PRESA

SIN PRESA

CONSIDERACIONES A TOMAR

Caudal100% Toma56.4% Toma52.8% Toma45.6% Toma42.0% Toma38.4% Toma36.0% Toma37.6% Toma35.2% Toma30.4% Toma28.0% Toma25.6% Toma

TRAZO E (CAUDAL 27.4%)



TRAZO F (CAUDAL 32.3%)PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)

1 3600 16.7912 3600 16.7913 2800 16.791


TRAZO G (CAUDAL 29.4%)PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)

1 3200 18.0172 3200 18.0173 2800 18.017


CON PRESA

SIN PRESA

CON PRESA

SIN PRESA

CON PRESA

SIN PRESA

0

10

20

30

40

50

60

70

80

90

100

Column D

0

10

20

30

40

50

60

70

80

90

100

Column D

Opción Trazo Op Margen Presa LA PRESA

1

ASin Presa

Derecha 0.002 Izquierda 0.003

Con PresaDerecha 51.40

4 Izquierda 51.405

BSin Presa



8 Izquierda 65.28

9

CSin Presa

Derecha 0.00

10 Izquierda 0.0011

Con PresaDerecha 60.59 Trazo A:

12 Izquierda 60.5913

D

Sin PresaDerecha 0.00

14 Izquierda 0.0015

Con PresaDerecha 51.40 Enero 4.73

16 Izquierda 51.40 Febrero 13.9117

E

Sin PresaDerecha 0.00 Marzo 14.51

18 Izquierda 0.00 Abril 5.2219


20 Izquierda 51.40 Vol Acumulado (Mll m3)21

FSin Presa

Derecha 0.00 Costo de Presa (Mll $)22 Izquierda 0.0023

Con PresaDerecha 60.59 Trazo B:


GSin Presa


Con PresaDerecha 55.15 Enero 6.01

28 Izquierda 55.15 Febrero 17.67Marzo 18.43

CONSIDERACION Abril 6.64Costo de Presa 0.5 Millones$/Millon m3

Vol Acumulado (Mll m3)Costo de Presa (Mll $)

Trazo C:

Enero 5.58Febrero 16.40Marzo 17.11Abril 6.16

Según la tabla de caudales, los meses en que el caudal del rio es mayor que el promedio son:Enero, Febrero, Marzo y Abril es que en estos meses que se va a represar el aguapara los meses de estiaje.

Qrepresado = Qi - Qprom

Qrepresado

(m3/seg)

Qrepresado

(m3/seg)

Qrepresado

(m3/seg)


Trazo D:

Enero 4.73Febrero 13.91Marzo 14.51Abril 5.22Diciembre 0.00


Qrepresado

(m3/seg)

LA PRESA

Trazo E:

12.67 Enero 4.73 12.6737.26 Febrero 13.91 37.2638.87 Marzo 14.51 38.8713.99 Abril 5.22 13.99

102.79 Vol Acumulado (Mll m3) 102.7951.40 Millones dolares Costo de Presa (Mll $) 51.40 Millones dolares

Trazo F:



Trazo G:


Según la tabla de caudales, los meses en que el caudal del rio es mayor que el promedio son:Enero, Febrero, Marzo y Abril es que en estos meses que se va a represar el aguapara los meses de estiaje.

Volrepresado

(Mll m3)Qrepresado

(m3/seg)Volrepresado

(Mll m3)

Volrepresado

(Mll m3)Qrepresado


(Mll m3)

Volrepresado

(Mll m3)Qrepresado


(Mll m3)


12.6737.2638.8713.99

0.00

102.7951.40 Millones dolares

Volrepresado

(Mll m3)

TOMA DE CAPTACION

8.545 - 10.853N° des 4Mov tierra 40Concreto 180Compuertas 15 USD/KgDensid acer 7850 Kg/m3

Opción Trazo Op Margen Toma

1

ASin Presa

Derecha 0.442 Izquierda 0.44 Costo de la compuerta de regulacion3


4 Izquierda 0.00 Ancho de la compuerta5

BSin Presa

Derecha 0.44 Altura de la compuerta6 Izquierda 0.44 Espesor de la compuerta7

Con PresaDerecha 0.00 Volumen de la compuerta

8 Izquierda 0.00 Costo de la compuerta9

CSin Presa

Derecha 0.4410 Izquierda 0.44 Costo de la compuerta de purga11



DSin Presa




ESin Presa

Derecha 0.4418 Izquierda 0.44 Costo de la compuerta de la presa19



FSin Presa




GSin Presa

Derecha 0.4426 Izquierda 0.44 Costo del muro27


28 Izquierda 0.00 Ancho del muroAltura del muroEspesor del muroVolumen del muroCosto del muro

Qd m3/seg

USD/m3

USD/m3

Costo del movimiento de tierraCosto para construir el muro

Costo total

TOMA

Costo de la compuerta de regulacion

b= 4 mh= 6 m

(2") e= 0.0508 mb*h*e 1.2192 m3

143560.80 ($)

Costo de la compuerta de purga

b= 4 mh= 4 m

(2") e= 0.0508 mb*h*e 0.8128 m3

95707.2 ($)

Costo de la compuerta de la presa

b= 5 mh= 6 m

(2") e= 0.0508 mb*h*e 1.524 m3

179451 ($)

8 m8 m

1.5 m96 m3

17280 ($)

Costo del movimiento de tierraCosto para construir el muro 3840 ($)

439839 ($)

DESARENADORES

N°des 4 (TURBINA PELTON)Ø 0.3 mmVmax 0.5 m/segµ 0.0001 kgxseg/m2Ȣarena 2.6 gr/cm3Ȣagua 1 gr/cm3Mov tierra 40 USD/m3Concreto 180 USD/m3

Compuertas 15,000 USD/TonCompuertas 2 Ton/unidDensid acer 7.85 Ton/m3

U (m/s) Velocidad de decantacionU 0.08

Asumot 4e(2") 0.0508

TURBINA PELTON, gran caida


1

ASin Presa


Con PresaDerecha 0.000 Tramo

4 Izquierda 0.000 Caudal en cada desarenador (m3/s)5

BSin Presa

Derecha 0.146 Area del Desarenador (m2)6 Izquierda 0.146 Ancho de Desarenador (b) (m)7

Con PresaDerecha 0.000 Longitud de Desarenador (L) (m)

8 Izquierda 0.000 Costo de Movimiento de tierra ($)9

CSin Presa

Derecha 0.139 Costo del Muro de Concreto ($)10 Izquierda 0.139 Costo de Compuestas ($)11

Con PresaDerecha 0.000 Costo del Revestimiento ($)

12 Izquierda 0.000 Costo Total de Desarenador ($)13

DSin Presa




ESin Presa



Desarenadores

f2

18mU (garena

- gagua)=

=V x h

ULongitud

20

ECon Presa

Izquierda 0.00021

FSin Presa




GSin Presa



28 Izquierda 0.000

Velocidad de decantacion Ø Vmax (m/s)m/s <Vmax 0.1 0.1

0.15 0.160.2 0.25

m 0.3 0.5m

TURBINA PELTON, gran caida

Tramo A B C D E F GCaudal en cada desarenador (m3/s) 2.14 2.71 2.52 2.14 2.14 2.14 2.29Area del Desarenador (m2) 4.27 5.43 5.04 4.27 4.27 4.27 4.58Ancho de Desarenador (b) (m) 1.07 1.36 1.26 1.07 1.07 1.07 1.15Longitud de Desarenador (L) (m) 25.00 25.00 25.00 25.00 25.00 25.00 25.00Costo de Movimiento de tierra ($) 6,664.53 7,890.66 7,476.28 6,664.53 6,664.53 6,664.53 6,996.03Costo del Muro de Concreto ($) 1,538.10 1,953.54 1,813.14 1,538.10 1,538.10 1,538.10 1,650.42Costo de Compuestas ($) 51,113.63 64,919.39 60,253.66 51,113.63 51,113.63 51,113.63 54,846.21Costo del Revestimiento ($) 10,201.64 10,526.20 10,416.52 10,201.64 10,201.64 10,201.64 10,289.39Costo Total de Desarenador ($) 124,730.71 146,400.99 139,077.41 124,730.71 124,730.71 124,730.71 130,589.57

TUNEL A PELO LIBREOpción Trazo Op Margen

1

ASin Presa

Derecha 9.122 0.000 Ecuación de Manning:2 Izquierda 9.730 0.0003

Con PresaDerecha 0.000 88.727

4 Izquierda 0.000 89.6365

BSin Presa

Derecha 7.258 0.0006 Izquierda 7.258 0.0007


8 Izquierda 0.000 103.3309

CSin Presa

Derecha 6.181 0.00010 Izquierda 7.555 0.00011


12 Izquierda 0.000 134.494 C : cte.de rugosidad

13

DSin Presa

Derecha 36.487 0.000 R : radio hidráulico14 Izquierda 30.405 0.000 m: pendiente15

Con PresaDerecha 0.000 322.865 h : Altura del canal de conducción

16 Izquierda 0.000 317.581 b : Ancho del canal de conducción17

ESin Presa

Derecha 54.730 0.000 L: Longitud del canal de conduccion18 Izquierda 48.649 0.00019

Con PresaDerecha 0.000 367.423 Trazo

20 Izquierda 0.000 362.34621

FSin Presa

Derecha 34.054 0.000A

22 Izquierda 34.054 0.00023


B24 Izquierda 0.000 279.80225

GSin Presa

Derecha 13.453 0.000C

26 Izquierda 13.453 0.00027


D28 Izquierda 0.000 176.055

E

F

G

TUNEL A PRESION (GALERIA)

Tunel a pelo libre

Tunel a presión

V=Q/A=0.823/C∙R^(2/3)∙m^(1/2)V=Q/A=0.823/C∙R^(2/3)∙m^(1/2)

R=A/Perimetro mojado =(b⋅h)/(b+2⋅h)R=A/Perimetro mojado =(b⋅h)/(b+2⋅h)

ffP x D

Concreto (e = ----------)2

P x DConcreto (e = ----------)

2

TúnelTúnel

GALERIA (Conducción a Presión)

BCosto

P

dAriete

fCosto

Trazo

A

B

C

D

E

F

G

TUNEL A PELO LIBRE

Ecuación de Manning:

CONSIDERACIONES

C : cte.de rugosidad C = 0.0120 para el concreto

R : radio hidráulico m = 0.0020 pendientem: pendiente b=2h economicoh : Altura del canal de conducciónb : Ancho del canal de conducciónL: Longitud del canal de conduccion

Margen h(m) b(m) L(m) BuenaVol Reves(m^3) Costo Excav($)

Derecha 1.38 2.77 7,500.00 9.84 0.00 3,322,542.17Izquierda 1.38 2.77 8,000.00 9.84 0.00 3,544,044.98Derecha 1.51 3.03 5,000.00 11.78 0.00 2,650,071.21Izquierda 1.51 3.03 5,000.00 11.78 0.00 2,650,071.21Derecha 1.47 2.94 4,500.00 11.14 0.00 2,255,313.0Izquierda 1.47 2.94 5,500.00 11.14 0.00 2,756,493.7Derecha 1.38 2.77 30,000.00 9.84 0.00 13,290,168.7Izquierda 1.38 2.77 25,000.00 9.84 0.00 11,075,140.6Derecha 1.38 2.77 45,000.00 9.84 0.00 19,935,252.99Izquierda 1.38 2.77 40,000.00 9.84 0.00 17,720,224.88Derecha 1.38 2.77 28,000.00 9.84 0.00 12,404,157.4Izquierda 1.38 2.77 28,000.00 9.84 0.00 12,404,157.4Derecha 1.42 2.84 10,500.00 10.38 0.00 4,904,062.2Izquierda 1.42 2.84 10,500.00 10.38 0.00 4,904,062.2

TUNEL A PRESION (GALERIA)

A escavación(m2)

V=Q/A=0.823/C∙R^(2/3)∙m^(1/2)V=Q/A=0.823/C∙R^(2/3)∙m^(1/2)

R=A/Perimetro mojado =(b⋅h)/(b+2⋅h)R=A/Perimetro mojado =(b⋅h)/(b+2⋅h)

h=((Q∙C)/(0.9644∙m^(1/2) ))^(3/8)h=((Q∙C)/(0.9644∙m^(1/2) ))^(3/8)

ffP x D

Concreto (e = ----------)2

P x DConcreto (e = ----------)

2

TúnelTúnel

GALERIA (Conducción a Presión)

80 Kg/cm2 Concreto

1.4 Tipo de roca

3 Concreto

70 mts Chimenea BUENA

REGULAR2,600 Kg/m3 Concreto MALACero0.01 Concreto120 $/m3 Concreto para blindaje

Margen Long (m) H (m) a b Diametro (m)

Derecha 7,500.00 16.791 150.00 77.82 10.939 2.47Izquierda 8,000.00 16.791 150.00 77.82 10.939 2.47Derecha 5,000.00 21.326 150.00 77.82 10.939 2.74Izquierda 5,000.00 21.326 150.00 77.82 10.939 2.74Derecha 4,500.00 19.794 250.00 77.82 10.939 2.46Izquierda 5,500.00 19.794 250.00 77.82 10.939 2.46Derecha 30,000.00 16.791 1,000.00 77.82 10.939 1.88Izquierda 25,000.00 16.791 1,000.00 77.82 10.939 1.88Derecha 45,000.00 16.791 1,150.00 77.82 10.939 1.85Izquierda 40,000.00 16.791 1,150.00 77.82 10.939 1.85Derecha 28,000.00 16.791 800.00 77.82 10.939 1.94Izquierda 28,000.00 16.791 800.00 77.82 10.939 1.94Derecha 10,500.00 18.017 400.00 77.82 10.939 2.21Izquierda 10,500.00 18.017 400.00 77.82 10.939 2.21

$/Kg

QD(m3/s)

Tipo de roca %Perforacion Revestimiento

($/m3) ($/m3)BUENA 30% 150 Libre 0

REGULAR 40% 120 Shocret Estructural 60MALA 30% 90 Concreto Estructural 120

Buena Regular MalaCosto Reves($) Vol Reves(m^3) Costo Excav($) Costo Reves($) Vol Reves(m^3) Costo Excav($)

0.00 1,245.34 3,544,044.98 74,720.40 1,556.67 1,993,525.300.00 1,328.36 3,780,314.64 79,701.76 1,660.45 2,126,426.990.00 908.10 2,826,742.62 54,486.27 1,135.13 1,590,042.730.00 908.10 2,826,742.62 54,486.27 1,135.13 1,590,042.730.00 794.75 2,405,667.2 47,685.13 993.44 1,353,187.810.00 971.36 2,940,259.9 58,281.82 1,214.20 1,653,896.210.00 4,981.36 14,176,179.9 298,881.59 6,226.70 7,974,101.20.00 4,151.13 11,813,483.3 249,067.99 5,188.92 6,645,084.30.00 7,472.04 21,264,269.86 448,322.39 9,340.05 11,961,151.800.00 6,641.81 18,901,573.21 398,508.79 8,302.27 10,632,134.930.00 4,649.27 13,231,101.2 278,956.15 5,811.59 7,442,494.450.00 4,649.27 13,231,101.2 278,956.15 5,811.59 7,442,494.450.00 1,790.17 5,230,999.6 107,410.30 2,237.71 2,942,437.30.00 1,790.17 5,230,999.6 107,410.30 2,237.71 2,942,437.3

% Perforacion Diametro económico

($/m3)

30% 150

40% 12030% 90

Espesor (mm) Velocidad (m/s) Costo del tunel ($) Costo

Buena Regular Mala del tubo ($)165.417 3.50 2587961.020 2760491.755 1552776.612 75097083.177165.417 3.50 2760491.755 2944524.539 1656295.053 75097083.177183.265 3.63 2117707.875 2258888.400 1270624.725 92177016.878183.265 3.63 2117707.875 2258888.400 1270624.725 92177016.878275.018 4.15 1545156.542 1648166.978 927093.925 124547588.310275.018 4.15 1888524.662 2014426.306 1133114.797 124547588.310840.984 6.02 6020259.680 6421610.325 3612155.808 291158392.240840.984 6.02 5016883.066 5351341.937 3010129.840 291158392.240948.013 6.27 8676893.033 9255352.569 5206135.820 321725076.501948.013 6.27 7712793.807 8226980.061 4627676.284 321725076.501694.580 5.65 5988810.572 6388064.610 3593286.343 248260642.323694.580 5.65 5988810.572 6388064.610 3593286.343 248260642.323395.197 4.68 2908131.613 3102007.054 1744878.968 160738567.026395.197 4.68 2908131.613 3102007.054 1744878.968 160738567.026

Espesor(cm)

01525

Mala TOTALCosto Reves($)

186,801.00 9,121,633.84199,254.40 9,729,742.76136,215.67 7,257,558.50136,215.67 7,257,558.50119,212.82 6,181,066.00145,704.56 7,554,636.22747,203.98 36,486,535.34622,669.98 30,405,446.12

1,120,805.97 54,729,803.01996,271.98 48,648,713.79697,390.38 34,054,099.65697,390.38 34,054,099.65268,525.75 13,453,435.14268,525.75 13,453,435.14

Concreto Costo total

Blindaje ($) ($)6728698.653 88727011.2187177278.563 89635673.0875506040.475 103330278.3535506040.475 103330278.3534017407.009 132685412.7634910164.122 134493818.197

15652675.167 322865093.21913043895.972 317580643.05622559921.886 367423379.80920053263.899 362345790.55215570907.487 279801711.33415570907.487 279801711.334

7561142.193 176054726.8537561142.193 176054726.853

Opción Trazo Op Margen CAMARA DE CARGA

1

ASin Presa



4 Izquierda 0.0005

BSin Presa



8 Izquierda 0.0009

CSin Presa




DSin Presa




ESin Presa


Con PresaDerecha 0.000 CONSIDERACIONES

20 Izquierda 0.000 Volumen camara de carga=Volumen de agua21

FSin Presa

Derecha 2.999 Volumen camara de carga=2Volumen tuberia22 Izquierda 2.999 Considerando bmax=8 m23

Con PresaDerecha 0.000 Volumen camara de carga=b*t*L

24 Izquierda 0.000 Perforaracion25

GSin Presa

Derecha 1.368 Concreto26 Izquierda 1.368 espesor de revestimiento27

Con PresaDerecha 0.000 factor de amortizacion

28 Izquierda 0.000

Trazo Op

A Sin Presa

B Sin Presa

C Sin Presa

D Sin Presa

E Sin Presa

F Sin Presa

G Sin Presa

Camara de Carga

CAMARA DE CARGA

H (m) t (m)100 3500 7

1000 12

Entonces interpolando para:PUNTO H (m) t (m)

A 150 3.5B 150 3.5C 250 4.5D 1000 12E 1150 13.5F 800 10G 400 6

CONSIDERACIONESVolumen camara de carga=Volumen de aguaVolumen camara de carga=2Volumen tuberiaConsiderando bmax=8 mVolumen camara de carga=b*t*L

120 USD/m3150 USD/m3

25 cm8.135

MargenDm tuberia Long tuberia Vol tuberia Vol camara b t L camara

(m) (m) (m3) (m3) (m) (m) (m)Derecha 1.51 152.31 1,098.27 2196.534 8.00 3.5 78Izquierda 1.51 152.31 1,098.27 2196.534 8.00 3.5 78Derecha 1.68 152.31 1,348.07 2696.135 8.00 3.5 96Izquierda 1.68 152.31 1,348.07 2696.135 8.00 3.5 96Derecha 1.53 253.86 1,877.26 3754.523 8.00 4.5 104Izquierda 1.53 253.86 1,877.26 3754.523 8.00 4.5 104Derecha 1.33 1,015.43 5,612.57 11225.131 8.00 12 116Izquierda 1.20 1,015.43 4,584.48 9168.958 8.00 12 95Derecha 1.18 1,167.74 5,077.06 10154.117 8.00 13.5 94Izquierda 1.18 1,167.74 5,077.06 10154.117 8.00 13.5 94Derecha 1.24 812.34 3,892.74 7785.482 8.00 10 97Izquierda 1.24 812.34 3,892.74 7785.482 8.00 10 97Derecha 1.39 406.17 2,472.30 4944.610 8.00 6 103Izquierda 1.39 406.17 2,472.30 4944.610 8.00 6 103

Impactos cámara de carga

Volumen M3 USD/m3/Año10,000 4 40,00020,000 6 120,00030,000 10 300,00040,000 13 520,00050,000 17 850,00060,000 21 1,260,00070,000 27 1,890,00080,000 33 2,640,00090,000 42 3,780,000

100,000 52 5,200,000110,000 68 7,480,000120,000 80 9,600,000

Aperforacion Costo perfor Aconcreto Costoconcreto Costo impacto Costoimpacto(m2) ($) (m2) ($) ($/m3/Año) ($)

53.133 497322.457901 6.892 80631.634047 1.3179201274 23549.651691953.133 497322.457901 6.892 80631.634047 1.3179201274 23549.651691953.133 612089.178955 6.892 99238.9342117 1.6176809242 35480.68823853.133 612089.178955 6.892 99238.9342117 1.6176809242 35480.68823861.133 762936.610534 7.392 115308.845396 3.7545230544 114674.56678261.133 762936.610534 7.392 115308.845396 3.7545230544 114674.566782

121.133 1686167.7579 11.142 193863.712172 89.801049204 8200312.29309121.133 1380913.25001 11.142 158767.695314 47.678582803 3556320.47017133.133 1501737.32106 11.892 167671.456416 69.047993268 5703622.41482133.133 1501737.32106 11.892 167671.456416 69.047993268 5703622.41482105.133 1223745.1079 10.142 147560.17311 25.692091595 1627206.01399105.133 1223745.1079 10.142 147560.17311 25.692091595 1627206.0139973.133 903920.681587 8.142 125787.606498 8.4058367882 338119.75253973.133 903920.681587 8.142 125787.606498 8.4058367882 338119.752539

Costo camara($)

601503.7436397601503.7436397746808.8014045746808.8014045992920.0227123992920.022712310080343.763175096001.4154967373031.1922927373031.1922922998511.2950012998511.2950011367828.0406241367828.040624

TUBERIA FORZADA

DatosCosto del acero

Factor de blindaje (B)σf

Densidad del aceroAceleracion de Gravedad

Factor de cargaCosto de la energia

Total horas de trabajoFactor de amortizacion

Opción Trazo

1

A2345

B6789

C10111213

D14151617

E18192021

F22232425

G262728

Ariete DH

TUBERIA FORZADA

Datos18 $/kg

12000 kg/cm20.0125% %H7850 kg/m39.81 m/s20.65

47 USD/Mwh8760 h/año

8.135CONSIDERACIONES

Tuberia superiorTuberia inferior Ht=H+ΔH

Pendiente (grados) 80Hs (m) 30

Op Margen Long (m) H (m) Hs (m)TUBERIA SUPERIOR

Ds (m) esp (mm)

Sin PresaDerecha 152.31 8.55 150.00 30.00 1.625 2.74Izquierda 152.31 8.55 150.00 30.00 1.625 2.74

Con PresaDerecha 152.31 16.79 150.00 30.00 2.171 3.66Izquierda 152.31 16.79 150.00 30.00 2.171 3.66





Sin PresaDerecha 1,015.43 8.55 1,000.00 30.00 1.326 9.28Izquierda 1,015.43 8.55 1,000.00 30.00 1.326 9.28

Con PresaDerecha 1,015.43 16.79 1,000.00 30.00 1.772 12.40Izquierda 1,015.43 16.79 1,000.00 30.00 1.772 12.40

Sin PresaDerecha 1,167.74 8.55 1,150.00 30.00 1.303 10.34Izquierda 1,167.74 8.55 1,150.00 30.00 1.303 10.34

Con PresaDerecha 1,167.74 16.79 1,150.00 30.00 1.740 13.81Izquierda 1,167.74 16.79 1,150.00 30.00 1.740 13.81





Ht=Hs+ΔH

QD(m3/s)

P

P x D e = -----------

2 x B

TUBERIA SUPERIOR TUBERIA INFERIOR Costo tuberiav (m/s) Di (m) ei (mm) v (m/s) ($)

4.118 1.405 7.619 5.51 4.2454.118 1.405 7.619 5.51 4.2454.536 1.876 10.177 6.07 7.5754.536 1.876 10.177 6.07 7.5754.262 1.556 8.441 5.71 5.2114.262 1.556 8.441 5.71 5.2114.693 2.079 11.275 6.28 9.2984.693 2.079 11.275 6.28 9.2984.614 1.401 13.026 6.53 11.6754.614 1.401 13.026 6.53 11.6755.081 1.872 17.400 7.19 20.8315.081 1.872 17.400 7.19 20.8316.184 1.071 41.451 9.48 109.6636.184 1.071 41.451 9.48 109.6636.810 1.500 55.368 9.50 199.8926.810 1.500 55.368 9.50 199.8926.410 1.050 46.820 9.87 139.4306.410 1.050 46.820 9.87 139.4307.059 1.500 62.540 9.50 256.4937.059 1.500 62.540 9.50 256.4935.846 1.106 34.106 8.90 74.7325.846 1.106 34.106 8.90 74.7326.438 1.477 45.557 9.80 133.3406.438 1.477 45.557 9.80 133.3405.017 1.258 19.068 7.37 24.1195.017 1.258 19.068 7.37 24.1195.525 1.681 25.471 8.12 43.0355.525 1.681 25.471 8.12 43.035

es=2.74 mm

es=3.04 mm

Ds=1.801 m

es=3.86 mm

Ds=1.667 m

es=3.86 mm

es=7.84 mm

es=4.96 mm

SUP INF

L =152.31m

es=2.74 mm

ei=7.619 mm

Ds=1.625 mDi=1.405 m

TRAPECIO PARA EL TRAZO OPTIMO "A"SIN PRESA

SUP INF

L =152.31 m

es=3.04 mm

ei=8.441 mm

Ds=1.801 mDi=1.556 m

TRAPECIO PARA EL TRAZO OPTIMO "B"SIN PRESA

SUP INF

es=3.86 mm

ei=13.026 mm

Ds=1.667 mDi=1.401 m

TRAPECIO PARA EL TRAZO OPTIMO "C"SIN PRESA

es=3.66mm

Ds=2.17 m

TRAPECIO PARA EL TRAZO OPTIMO "A"CON PRESA

es=4.06 mm

Ds=2.405 m

TRAPECIO PARA EL TRAZO OPTIMO "B"CON PRESA

es=5.15 mm

Ds=2.227 m

L =253.86 m

es=3.86 mm

ei=13.026 mm

SUP INF

L =1015.43m

es=9.28 mm

ei=41.451 mm

Ds=1.326 mDi=1.071 m

TRAPECIO PARA EL TRAZO OPTIMO "D"SIN PRESA

es=5.15 mm

es=12.4 mm

Ds=1.772 m

SUP INF

L =1167.74 m

es=10.34 mm

ei=46.820 mm

Ds=1.303 mDi=1.050 m

TRAPECIO PARA EL TRAZO OPTIMO "E"SIN PRESA

es=13.81 mm

Ds=1.740 m

SUP INF

Ds=1.364 mDi=1.106 m

TRAPECIO PARA EL TRAZO OPTIMO "F"SIN PRESA

Ds=1.822 m

TRAPECIO PARA EL TRAZO OPTIMO "F"CON PRESA

L =812.34 m

es=7.84 mm

ei=34.106 mm es=10.48 mm

SUP INF

L =406.17 m

es=4.96 mm

ei=19.068 m

Ds=1.525 mDi=1.258 m

TRAPECIO PARA EL TRAZO OPTIMO "G"SIN PRESA

es=6.62 mm

Ds=2.038 m

TRAPECIO PARA EL TRAZO OPTIMO "G"CON PRESA

SUP INF

L =152.31m

es=3.66mm

ei=10.177 mm

Ds=2.17 mDi=1.876 m

TRAPECIO PARA EL TRAZO OPTIMO "A"CON PRESA

SUP INF

L =152.31 m

es=4.06 mm

ei=11.275 mm

Ds=2.405 mDi=2.079 m

TRAPECIO PARA EL TRAZO OPTIMO "B"CON PRESA

SUP INF

es=5.15 mm

ei=17.4 mm

Ds=2.227 mDi=1.872 m

TRAPECIO PARA EL TRAZO OPTIMO "C"CON PRESA

L =253.86 m

es=5.15 mm

ei=17.4 mm

SUP INF

L =1015.43 m

es=12.4 mm

ei=55.368 mm

Ds=1.772 mDi=1.5m

TRAPECIO PARA EL TRAZO OPTIMO "D"CON PRESA

SUP INF

L =1167.74 m

es=13.81 mm

ei=62.54 mm

Ds=1.740 mDi=1.5m

TRAPECIO PARA EL TRAZO OPTIMO "E"CON PRESA

SUP INF

Ds=1.822 mDi=1.477m

TRAPECIO PARA EL TRAZO OPTIMO "F"CON PRESA

L =812.34 m

es=10.48 mm

ei=45.557 mm

SUP INF

L =406.17 m

es=6.62 mm

ei=25.471 mm

Ds=2.038 mDi=1.681 m

TRAPECIO PARA EL TRAZO OPTIMO "G"CON PRESA

Opción Trazo Op Margen CHIMENEA DE EQUILIBRIO

1

ASin Presa

Derecha 0.0002 Izquierda 0.000 Trazo Op3


A Con Presa4 Izquierda 1.1795

BSin Presa

Derecha 0.000B Con Presa

6 Izquierda 0.0007


C Con Presa8 Izquierda 1.6379

CSin Presa

Derecha 0.000D Con Presa



E Con Presa12 Izquierda 1.39113

DSin Presa

Derecha 0.000F Con Presa



G Con Presa16 Izquierda 1.68517

ESin Presa

Derecha 0.00018 Izquierda 0.000 CONSIDERACIONES19

Con PresaDerecha 1.758 Costo de concreto

20 Izquierda 1.747 Costo de perforacion21

FSin Presa

Derecha 0.000 f22 Izquierda 0.00023


24 Izquierda 1.709 TRAZO "A" DERECHA CON PRESA

25

G

Sin PresaDerecha 0.000

26 Izquierda 0.000 0.01308

27Con Presa

Derecha 1.447

28 Izquierda 1.447 1.54748

0.50000

Gráfico

Altura chimeneaCosto del concreto

Costo de perforacionCosto total chimenea

TRAZO "A" IZQUIERDA CON PRESA

0.01226

1.65065

0.50000

Chimenea de Equilibrio

t =

Δv =

v =

h =

ΔZ =

Z =

t =

Δv =

v =

h =

ΔZ =

Z =

t

Z = Cero

Nivel

h

L

SG

SCH

0.8 1 1.2 1.4 1.6 1.8 2

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

Gráfico



TRAZO "B" DERECHA CON PRESA

0.01962

0.93118

0.50000

Gráfico



TRAZO "B" IZQUIERDA CON PRESA

0.01962

0.93118

0.50000

Gráfico



TRAZO "C" DERECHA CON PRESA

0.02180

0.93078

0.50000

Gráfico


t =

Δv =

v =

h =

ΔZ =

Z =

t =

Δv =

v =

h =

ΔZ =

Z =

t =

Δv =

v =

h =

ΔZ =

Z =

0.8 1 1.2 1.4 1.6 1.8 2

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1


TRAZO "C" IZQUIERDA CON PRESA

0.01784

1.13761

0.50000

Gráfico



TRAZO "D" DERECHA CON PRESA

0.00327

8.11683

0.50000

Gráfico



TRAZO "D" IZQUIERDA CON PRESA

0.00392

6.76403

0.50000

Gráfico



TRAZO "E" DERECHA CON PRESA

t =

Δv =

v =

h =

ΔZ =

Z =

t =

Δv =

v =

h =

ΔZ =

Z =

t =

Δv =

v =

h =

ΔZ =

Z =

0.00218

12.42078

0.50000

Gráfico



TRAZO "E" IZQUIERDA CON PRESA

0.00245

11.04069

0.50000

Gráfico



TRAZO "F" DERECHA CON PRESA

0.00350

7.33802

0.50000

Gráfico



TRAZO "F" IZQUIERDA CON PRESA

0.00350

t =

Δv =

v =

h =

ΔZ =

Z =

t =

Δv =

v =

h =

ΔZ =

Z =

t =

Δv =

v =

h =

ΔZ =

Z =

t =

Δv =

v =

7.33802

0.50000

Gráfico



TRAZO "G" DERECHA CON PRESA

0.00934

2.41818

0.50000

Gráfico

Altura chimeneaCosto del concretoCosto de perforacionCosto total chimenea

TRAZO "G" IZQUIERDA CON PRESA

0.00934

2.41818

0.50000

Gráfico



h =

ΔZ =

Z =

t =

Δv =

v =

h =

ΔZ =

Z =

t =

Δv =

v =

h =

ΔZ =

Z =

CHIMENEA DE EQUILIBRIO

Margen QD (m3/s) D (m) V (m/s) f L (m)Derecha 16.79 2.47 3.50 4.79 95.85 0.01 7,500.00Izquierda 16.79 2.47 3.50 4.79 95.85 0.01 8,000.00Derecha 21.33 2.74 3.63 5.88 117.65 0.01 5,000.00Izquierda 21.33 2.74 3.63 5.88 117.65 0.01 5,000.00Derecha 19.79 2.46 4.15 4.77 95.38 0.01 4,500.00Izquierda 19.79 2.46 4.15 4.77 95.38 0.01 5,500.00Derecha 16.79 1.88 6.02 2.79 55.74 0.01 30,000.00Izquierda 16.79 1.88 6.02 2.79 55.74 0.01 25,000.00Derecha 16.79 1.85 6.27 2.68 53.56 0.01 45,000.00Izquierda 16.79 1.85 6.27 2.68 53.56 0.01 40,000.00Derecha 16.79 1.94 5.65 2.97 59.41 0.01 28,000.00Izquierda 16.79 1.94 5.65 2.97 59.41 0.01 28,000.00Derecha 18.02 2.21 4.68 3.85 76.93 0.01 10,500.00Izquierda 18.02 2.21 4.68 3.85 76.93 0.01 10,500.00

CONSIDERACIONES150 $/m3120 $/m3

0.01

TRAZO "A" DERECHA CON PRESA

0 10 20 30 40 50 60

0.000 -0.023 -0.042 -0.059 -0.073 -0.085

3.504 3.504 3.481 3.438 3.379 3.306 3.222

18.995 18.995 18.748 18.293 17.671 16.917 16.061

1.752 1.740 1.719 1.690 1.653 1.611

18.995 17.244 15.503 13.784 12.095 10.441 8.831-18.995 -17.244 -15.503 -13.784 -12.095 -10.441 -8.831

47.152 m604509.644 USD656242.933 USD

### USD

TRAZO "A" IZQUIERDA CON PRESA

0 10 20 30 40 50 60

0.000 -0.021 -0.040 -0.055 -0.068 -0.079

3.504 3.504 3.482 3.442 3.387 3.319 3.239

20.262 20.262 20.014 19.559 18.936 18.178 17.318

1.752 1.741 1.721 1.693 1.659 1.620

20.262 18.510 16.769 15.048 13.354 11.695 10.076

SG (m2) SCH (m2)

x (z±h)

x (v2)

x (v)

x (z±h)

x (v2)

x (v)

-20.262 -18.510 -16.769 -15.048 -13.354 -11.695 -10.076

44.090 m565243.691 USD613616.641 USD

### USD

TRAZO "B" DERECHA CON PRESA

0 10 20 30 40 50 60

0.000 -0.036 -0.066 -0.092 -0.114 -0.133

3.625 3.625 3.590 3.524 3.432 3.318 3.185

12.238 12.238 11.999 11.562 10.965 10.249 9.446

1.813 1.795 1.762 1.716 1.659 1.593

12.238 10.426 8.631 6.869 5.153 3.494 1.902-12.238 -10.426 -8.631 -6.869 -5.153 -3.494 -1.902

49.868 m784734.976 USD851891.756 USD

### USD

TRAZO "B" IZQUIERDA CON PRESA

0 10 20 30 40 50 60

0.000 -0.036 -0.066 -0.092 -0.114 -0.133

3.625 3.625 3.590 3.524 3.432 3.318 3.185

12.238 12.238 11.999 11.562 10.965 10.249 9.446

1.813 1.795 1.762 1.716 1.659 1.593

12.238 10.426 8.631 6.869 5.153 3.494 1.902-12.238 -10.426 -8.631 -6.869 -5.153 -3.494 -1.902

49.868 m784734.976 USD851891.756 USD

### USD

TRAZO "C" DERECHA CON PRESA

0 10 20 30 40 50 60

0.000 -0.045 -0.082 -0.113 -0.137 -0.157

4.151 4.151 4.105 4.023 3.910 3.773 3.616

16.035 16.035 15.687 15.063 14.231 13.251 12.172

2.075 2.053 2.011 1.955 1.887 1.808

16.035 13.959 11.907 9.895 7.940 6.054 4.245-16.035 -13.959 -11.907 -9.895 -7.940 -6.054 -4.245

50.432 m643383.529 USD

x (z±h)

x (v2)

x (v)

x (z±h)

x (v2)

x (v)

x (z±h)

x (v2)

x (v)

698443.603 USD### USD

TRAZO "C" IZQUIERDA CON PRESA

0 10 20 30 40 50 60

0.000 -0.037 -0.067 -0.092 -0.113 -0.129

4.151 4.151 4.114 4.046 3.954 3.841 3.712

19.598 19.598 19.250 18.623 17.782 16.783 15.674

2.075 2.057 2.023 1.977 1.920 1.856

19.598 17.523 15.466 13.443 11.466 9.545 7.689-19.598 -17.523 -15.466 -13.443 -11.466 -9.545 -7.689

52.281 m666968.666 USD724047.131 USD

### USD

TRAZO "D" DERECHA CON PRESA

0 10 20 30 40 50 60

0.000 -0.010 -0.017 -0.021 -0.024 -0.026

6.024 6.024 6.015 5.998 5.977 5.953 5.927

294.589 294.589 293.627 292.014 289.966 287.628 285.099

3.012 3.007 2.999 2.988 2.976 2.963

294.589 291.577 288.570 285.571 282.582 279.606 276.642-294.589 -291.577 -288.570 -285.571 -282.582 -279.606 -276.642

110.271 m822166.583 USD892526.719 USD

### USD

TRAZO "D" IZQUIERDA CON PRESA

0 10 20 30 40 50 60

0.000 -0.012 -0.020 -0.025 -0.029 -0.031

6.024 6.024 6.013 5.993 5.967 5.939 5.907

245.491 245.491 244.529 242.917 240.873 238.540 236.020

3.012 3.006 2.996 2.984 2.969 2.954

245.491 242.479 239.472 236.476 233.492 230.523 227.569-245.491 -242.479 -239.472 -236.476 -233.492 -230.523 -227.569

108.350 m807839.973 USD876974.054 USD

### USD

TRAZO "E" DERECHA CON PRESA

x (z±h)

x (v2)

x (v)

x (z±h)

x (v2)

x (v)

x (z±h)

x (v2)

x (v)

0 10 20 30 40 50 60

0.000 -0.007 -0.011 -0.014 -0.016 -0.018

6.270 6.270 6.263 6.252 6.237 6.221 6.204

488.274 488.274 487.210 485.447 483.227 480.709 477.999

3.135 3.132 3.126 3.119 3.111 3.102

488.274 485.139 482.007 478.882 475.763 472.652 469.551-488.274 -485.139 -482.007 -478.882 -475.763 -472.652 -469.551

117.696 m843170.274 USD915327.884 USD

### USD

TRAZO "E" IZQUIERDA CON PRESA

0 10 20 30 40 50 60

0.000 -0.008 -0.013 -0.016 -0.018 -0.020

6.270 6.270 6.262 6.249 6.233 6.215 6.195

434.021 434.021 432.957 431.195 428.976 426.461 423.754

3.135 3.131 3.125 3.117 3.108 3.098

434.021 430.886 427.755 424.631 421.514 418.406 415.309-434.021 -430.886 -427.755 -424.631 -421.514 -418.406 -415.309

116.902 m837481.327 USD909152.083 USD

### USD

TRAZO "F" DERECHA CON PRESA

0 10 20 30 40 50 60

0.000 -0.010 -0.017 -0.022 -0.025 -0.028

5.652 5.652 5.642 5.626 5.604 5.578 5.550

234.440 234.440 233.619 232.221 230.419 228.338 226.064

2.826 2.821 2.813 2.802 2.789 2.775

234.440 231.614 228.793 225.980 223.178 220.389 217.614-234.440 -231.614 -228.793 -225.980 -223.178 -220.389 -217.614

103.114 m819412.809 USD889537.281 USD

### USD

TRAZO "F" IZQUIERDA CON PRESA

0 10 20 30 40 50 60

0.000 -0.010 -0.017 -0.022 -0.025 -0.028

5.652 5.652 5.642 5.626 5.604 5.578 5.550

x (z±h)

x (v2)

x (v)

x (z±h)

x (v2)

x (v)

x (z±h)

x (v2)

x (v)

x (z±h)

234.440 234.440 233.619 232.221 230.419 228.338 226.064

2.826 2.821 2.813 2.802 2.789 2.775

234.440 231.614 228.793 225.980 223.178 220.389 217.614-234.440 -231.614 -228.793 -225.980 -223.178 -220.389 -217.614

103.114 m819412.809 USD889537.281 USD

### USD

TRAZO "G" DERECHA CON PRESA

0 10 20 30 40 50 60

0.000 -0.022 -0.039 -0.052 -0.063 -0.071

4.684 4.684 4.662 4.623 4.570 4.507 4.436

53.048 53.048 52.554 51.677 50.511 49.130 47.594

2.342 2.331 2.311 2.285 2.254 2.218

53.048 50.706 48.375 46.064 43.779 41.525 39.307-53.048 -50.706 -48.375 -46.064 -43.779 -41.525 -39.307

67.413 m693697.670 USD753063.575 USD

### USD

TRAZO "G" IZQUIERDA CON PRESA

0 10 20 30 40 50 60

0.000 -0.022 -0.039 -0.052 -0.063 -0.071

4.684 4.684 4.662 4.623 4.570 4.507 4.436

53.048 53.048 52.554 51.677 50.511 49.130 47.594

2.342 2.331 2.311 2.285 2.254 2.218

53.048 50.706 48.375 46.064 43.779 41.525 39.307-53.048 -50.706 -48.375 -46.064 -43.779 -41.525 -39.307

67.413 m693697.670 USD753063.575 USD

### USD

x (v2)

x (v)

x (z±h)

x (v2)

x (v)

x (z±h)

x (v2)

x (v)

11.04711.04712.23912.23911.02011.020

8.4258.4258.2588.2588.6988.6989.8979.897

70 80 90 100 110 120 130 140

-0.095 -0.103 -0.110 -0.116 -0.121 -0.125 -0.128 -0.131

3.127 3.024 2.914 2.799 2.678 2.553 2.425 2.294

15.132 14.153 13.143 12.120 11.098 10.088 9.100 8.142

1.564 1.512 1.457 1.399 1.339 1.277 1.212 1.147

7.267 5.755 4.298 2.899 1.560 0.283 -0.930 -2.076-7.267 -5.755 -4.298 -2.899 -1.560 -0.283 0.930 2.076

70 80 90 100 110 120 130 140

-0.089 -0.097 -0.103 -0.109 -0.113 -0.117 -0.121 -0.124

3.150 3.054 2.950 2.842 2.728 2.611 2.490 2.367

16.381 15.391 14.368 13.329 12.286 11.251 10.235 9.245

1.575 1.527 1.475 1.421 1.364 1.305 1.245 1.183

8.500 6.974 5.498 4.078 2.714 1.408 0.163 -1.020

seccion circular de la

chimeneaDCH

-8.500 -6.974 -5.498 -4.078 -2.714 -1.408 -0.163 1.020

70 80 90 100 110 120 130 140

-0.148 -0.161 -0.172 -0.181 -0.188 -0.194 -0.200 -0.204

3.037 2.876 2.704 2.523 2.335 2.141 1.941 1.737

8.589 7.702 6.810 5.929 5.077 4.267 3.508 2.810

1.519 1.438 1.352 1.262 1.168 1.070 0.970 0.869

0.383 -1.055 -2.407 -3.668 -4.836 -5.906 -6.877 -7.745-0.383 1.055 2.407 3.668 4.836 5.906 6.877 7.745

70 80 90 100 110 120 130 140

-0.148 -0.161 -0.172 -0.181 -0.188 -0.194 -0.200 -0.204

3.037 2.876 2.704 2.523 2.335 2.141 1.941 1.737

8.589 7.702 6.810 5.929 5.077 4.267 3.508 2.810

1.519 1.438 1.352 1.262 1.168 1.070 0.970 0.869

0.383 -1.055 -2.407 -3.668 -4.836 -5.906 -6.877 -7.745-0.383 1.055 2.407 3.668 4.836 5.906 6.877 7.745

70 80 90 100 110 120 130 140

-0.173 -0.186 -0.196 -0.204 -0.211 -0.216 -0.220 -0.224

3.443 3.258 3.062 2.858 2.647 2.431 2.211 1.987

11.036 9.879 8.727 7.602 6.522 5.501 4.549 3.675

1.722 1.629 1.531 1.429 1.324 1.216 1.105 0.994

2.524 0.895 -0.636 -2.065 -3.389 -4.604 -5.710 -6.703-2.524 -0.895 0.636 2.065 3.389 4.604 5.710 6.703

70 80 90 100 110 120 130 140

-0.142 -0.153 -0.162 -0.169 -0.175 -0.180 -0.183 -0.186

3.569 3.416 3.254 3.085 2.910 2.731 2.548 2.361

14.494 13.277 12.048 10.829 9.636 8.484 7.383 6.342

1.785 1.708 1.627 1.543 1.455 1.365 1.274 1.181

5.905 4.197 2.569 1.027 -0.428 -1.794 -3.068 -4.248-5.905 -4.197 -2.569 -1.027 0.428 1.794 3.068 4.248

70 80 90 100 110 120 130 140

-0.028 -0.029 -0.029 -0.030 -0.030 -0.030 -0.030 -0.030

5.899 5.870 5.841 5.811 5.781 5.751 5.721 5.690

282.444 279.711 276.928 274.116 271.290 268.459 265.629 262.805

2.949 2.935 2.921 2.906 2.891 2.876 2.860 2.845

273.693 270.758 267.837 264.932 262.041 259.165 256.305 253.460-273.693 -270.758 -267.837 -264.932 -262.041 -259.165 -256.305 -253.460

70 80 90 100 110 120 130 140

-0.033 -0.034 -0.035 -0.036 -0.036 -0.036 -0.036 -0.037

5.874 5.840 5.804 5.769 5.733 5.697 5.660 5.624

233.377 230.659 227.894 225.104 222.302 219.498 216.699 213.908

2.937 2.920 2.902 2.884 2.866 2.848 2.830 2.812

224.633 221.713 218.810 215.926 213.060 210.211 207.381 204.570-224.633 -221.713 -218.810 -215.926 -213.060 -210.211 -207.381 -204.570

70 80 90 100 110 120 130 140

-0.018 -0.019 -0.019 -0.020 -0.020 -0.020 -0.020 -0.020

6.185 6.166 6.147 6.127 6.107 6.088 6.068 6.048

475.165 472.253 469.293 466.305 463.301 460.291 457.279 454.270

3.093 3.083 3.073 3.064 3.054 3.044 3.034 3.024

466.458 463.375 460.302 457.238 454.184 451.141 448.107 445.083-466.458 -463.375 -460.302 -457.238 -454.184 -451.141 -448.107 -445.083

70 80 90 100 110 120 130 140

-0.021 -0.021 -0.022 -0.022 -0.022 -0.022 -0.022 -0.022

6.175 6.153 6.131 6.109 6.087 6.065 6.042 6.020

420.926 418.020 415.068 412.089 409.095 406.096 403.097 400.102

3.087 3.077 3.066 3.055 3.044 3.032 3.021 3.010

412.221 409.145 406.079 403.024 399.981 396.948 393.927 390.917-412.221 -409.145 -406.079 -403.024 -399.981 -396.948 -393.927 -390.917

70 80 90 100 110 120 130 140

-0.030 -0.031 -0.032 -0.032 -0.033 -0.033 -0.033 -0.034

5.521 5.490 5.458 5.426 5.393 5.360 5.327 5.293

223.658 221.166 218.617 216.032 213.427 210.812 208.196 205.584

2.760 2.745 2.729 2.713 2.697 2.680 2.663 2.647

214.853 212.108 209.379 206.666 203.970 201.290 198.627 195.980-214.853 -212.108 -209.379 -206.666 -203.970 -201.290 -198.627 -195.980

70 80 90 100 110 120 130 140

-0.030 -0.031 -0.032 -0.032 -0.033 -0.033 -0.033 -0.034

5.521 5.490 5.458 5.426 5.393 5.360 5.327 5.293

223.658 221.166 218.617 216.032 213.427 210.812 208.196 205.584

2.760 2.745 2.729 2.713 2.697 2.680 2.663 2.647

214.853 212.108 209.379 206.666 203.970 201.290 198.627 195.980-214.853 -212.108 -209.379 -206.666 -203.970 -201.290 -198.627 -195.980

70 80 90 100 110 120 130 140

-0.077 -0.082 -0.086 -0.089 -0.092 -0.094 -0.095 -0.096

4.359 4.277 4.190 4.101 4.009 3.915 3.820 3.724

45.947 44.226 42.459 40.667 38.867 37.072 35.291 33.532

2.179 2.138 2.095 2.050 2.005 1.958 1.910 1.862

37.127 34.989 32.894 30.843 28.839 26.881 24.971 23.109-37.127 -34.989 -32.894 -30.843 -28.839 -26.881 -24.971 -23.109

70 80 90 100 110 120 130 140

-0.077 -0.082 -0.086 -0.089 -0.092 -0.094 -0.095 -0.096

4.359 4.277 4.190 4.101 4.009 3.915 3.820 3.724

45.947 44.226 42.459 40.667 38.867 37.072 35.291 33.532

2.179 2.138 2.095 2.050 2.005 1.958 1.910 1.862

37.127 34.989 32.894 30.843 28.839 26.881 24.971 23.109-37.127 -34.989 -32.894 -30.843 -28.839 -26.881 -24.971 -23.109

150 160 170 180 190 200 210 220

-0.134 -0.136 -0.137 -0.139 -0.140 -0.141 -0.142 -0.143

2.160 2.024 1.887 1.748 1.608 1.467 1.325 1.182

7.221 6.342 5.510 4.728 4.001 3.329 2.716 2.163

1.080 1.012 0.943 0.874 0.804 0.733 0.662 0.591

-3.157 -4.169 -5.112 -5.986 -6.790 -7.523 -8.186 -8.7773.157 4.169 5.112 5.986 6.790 7.523 8.186 8.777

150 160 170 180 190 200 210 220

-0.126 -0.128 -0.130 -0.131 -0.132 -0.133 -0.134 -0.135

2.241 2.113 1.983 1.852 1.720 1.587 1.453 1.318

8.288 7.369 6.493 5.663 4.884 4.157 3.485 2.869

1.120 1.056 0.992 0.926 0.860 0.793 0.727 0.659

-2.141 -3.197 -4.189 -5.115 -5.975 -6.768 -7.495 -8.154

2.141 3.197 4.189 5.115 5.975 6.768 7.495 8.154

150 160 170 180 190 200 210 220

-0.207 -0.210 -0.212 -0.213 -0.214 -0.215 -0.215 -0.214

1.530 1.320 1.109 0.895 0.681 0.466 0.252 0.037

2.180 1.623 1.144 0.746 0.432 0.203 0.059 0.001

0.765 0.660 0.554 0.448 0.341 0.233 0.126 0.019

-8.510 -9.171 -9.725 -10.173 -10.513 -10.746 -10.872 -10.8918.510 9.171 9.725 10.173 10.513 10.746 10.872 10.891

150 160 170 180 190 200 210 220

-0.207 -0.210 -0.212 -0.213 -0.214 -0.215 -0.215 -0.214

1.530 1.320 1.109 0.895 0.681 0.466 0.252 0.037

2.180 1.623 1.144 0.746 0.432 0.203 0.059 0.001

0.765 0.660 0.554 0.448 0.341 0.233 0.126 0.019

-8.510 -9.171 -9.725 -10.173 -10.513 -10.746 -10.872 -10.8918.510 9.171 9.725 10.173 10.513 10.746 10.872 10.891

150 160 170 180 190 200 210 220

-0.226 -0.228 -0.230 -0.231 -0.231 -0.231 -0.231 -0.231

1.761 1.533 1.303 1.072 0.841 0.610 0.378 0.148

2.886 2.186 1.580 1.070 0.658 0.346 0.133 0.020

0.880 0.766 0.651 0.536 0.421 0.305 0.189 0.074

-7.584 -8.350 -9.001 -9.538 -9.958 -10.263 -10.452 -10.5267.584 8.350 9.001 9.538 9.958 10.263 10.452 10.526

150 160 170 180 190 200 210 220

-0.189 -0.191 -0.192 -0.194 -0.195 -0.195 -0.196 -0.196

2.172 1.981 1.789 1.595 1.401 1.205 1.010 0.814

5.368 4.466 3.641 2.895 2.232 1.653 1.159 0.753

1.086 0.991 0.894 0.798 0.700 0.603 0.505 0.407

-5.334 -6.325 -7.219 -8.017 -8.717 -9.320 -9.825 -10.2325.334 6.325 7.219 8.017 8.717 9.320 9.825 10.232

150 160 170 180 190 200 210 220

-0.031 -0.031 -0.031 -0.031 -0.031 -0.031 -0.031 -0.031

5.660 5.629 5.598 5.568 5.537 5.506 5.476 5.445

259.990 257.186 254.393 251.614 248.849 246.098 243.362 240.641

2.830 2.814 2.799 2.784 2.769 2.753 2.738 2.722

250.630 247.816 245.017 242.233 239.464 236.711 233.973 231.251-250.630 -247.816 -245.017 -242.233 -239.464 -236.711 -233.973 -231.251

150 160 170 180 190 200 210 220

-0.037 -0.037 -0.037 -0.037 -0.037 -0.037 -0.037 -0.037

5.587 5.550 5.513 5.477 5.440 5.403 5.366 5.329

211.130 208.365 205.615 202.882 200.165 197.466 194.784 192.120

2.793 2.775 2.757 2.738 2.720 2.702 2.683 2.665

201.776 199.001 196.244 193.506 190.786 188.084 185.401 182.737-201.776 -199.001 -196.244 -193.506 -190.786 -188.084 -185.401 -182.737

150 160 170 180 190 200 210 220

-0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020

6.028 6.008 5.987 5.967 5.947 5.927 5.907 5.887

451.266 448.269 445.280 442.299 439.327 436.365 433.412 430.470

3.014 3.004 2.994 2.984 2.974 2.964 2.954 2.944

442.069 439.065 436.072 433.088 430.114 427.151 424.197 421.254-442.069 -439.065 -436.072 -433.088 -430.114 -427.151 -424.197 -421.254

150 160 170 180 190 200 210 220

-0.023 -0.023 -0.023 -0.023 -0.023 -0.023 -0.023 -0.023

5.997 5.975 5.952 5.930 5.907 5.884 5.862 5.839

397.114 394.133 391.161 388.199 385.248 382.307 379.377 376.458

2.999 2.987 2.976 2.965 2.954 2.942 2.931 2.920

387.919 384.931 381.955 378.990 376.037 373.095 370.164 367.244-387.919 -384.931 -381.955 -378.990 -376.037 -373.095 -370.164 -367.244

150 160 170 180 190 200 210 220

-0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034

5.259 5.226 5.192 5.158 5.124 5.090 5.056 5.022

202.978 200.383 197.800 195.230 192.674 190.134 187.609 185.100

2.630 2.613 2.596 2.579 2.562 2.545 2.528 2.511

193.350 190.738 188.142 185.563 183.001 180.455 177.927 175.416-193.350 -190.738 -188.142 -185.563 -183.001 -180.455 -177.927 -175.416

150 160 170 180 190 200 210 220

-0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034

5.259 5.226 5.192 5.158 5.124 5.090 5.056 5.022

202.978 200.383 197.800 195.230 192.674 190.134 187.609 185.100

2.630 2.613 2.596 2.579 2.562 2.545 2.528 2.511

193.350 190.738 188.142 185.563 183.001 180.455 177.927 175.416-193.350 -190.738 -188.142 -185.563 -183.001 -180.455 -177.927 -175.416

150 160 170 180 190 200 210 220

-0.097 -0.098 -0.099 -0.099 -0.100 -0.100 -0.100 -0.100

3.626 3.528 3.429 3.330 3.231 3.131 3.030 2.930

31.801 30.103 28.441 26.819 25.238 23.700 22.206 20.759

1.813 1.764 1.715 1.665 1.615 1.565 1.515 1.465

21.296 19.532 17.817 16.152 14.537 12.971 11.456 9.991-21.296 -19.532 -17.817 -16.152 -14.537 -12.971 -11.456 -9.991

150 160 170 180 190 200 210 220

-0.097 -0.098 -0.099 -0.099 -0.100 -0.100 -0.100 -0.100

3.626 3.528 3.429 3.330 3.231 3.131 3.030 2.930

31.801 30.103 28.441 26.819 25.238 23.700 22.206 20.759

1.813 1.764 1.715 1.665 1.615 1.565 1.515 1.465

21.296 19.532 17.817 16.152 14.537 12.971 11.456 9.991-21.296 -19.532 -17.817 -16.152 -14.537 -12.971 -11.456 -9.991

230 240 250 260 270 280 290 300

-0.143 -0.143 -0.144 -0.144 -0.144 -0.144 -0.144 -0.143

1.039 0.896 0.752 0.608 0.464 0.321 0.177 0.034

1.671 1.241 0.875 0.572 0.334 0.159 0.048 0.002

0.520 0.448 0.376 0.304 0.232 0.160 0.088 0.017

-9.296 -9.744 -10.120 -10.424 -10.656 -10.817 -10.905 -10.9229.296 9.744 10.120 10.424 10.656 10.817 10.905 10.922

230 240 250 260 270 280 290 300

-0.135 -0.136 -0.136 -0.136 -0.136 -0.136 -0.136 -0.136

1.183 1.048 0.912 0.776 0.639 0.503 0.367 0.231

2.311 1.812 1.372 0.993 0.675 0.418 0.222 0.088

0.592 0.524 0.456 0.388 0.320 0.252 0.184 0.116

-8.746 -9.269 -9.725 -10.113 -10.433 -10.684 -10.868 -10.984

8.746 9.269 9.725 10.113 10.433 10.684 10.868 10.984

230 240 250 260 270 280 290 300

-0.214 -0.213 -0.211 -0.209 -0.206 -0.203 -0.200 -0.195

-0.177 -0.389 -0.600 -0.809 -1.015 -1.218 -1.418 -1.613

0.029 0.141 0.335 0.609 0.959 1.382 1.872 2.423

-0.088 -0.195 -0.300 -0.404 -0.508 -0.609 -0.709 -0.806

-10.802 -10.608 -10.308 -9.903 -9.396 -8.787 -8.078 -7.27110.802 10.608 10.308 9.903 9.396 8.787 8.078 7.271

230 240 250 260 270 280 290 300

-0.214 -0.213 -0.211 -0.209 -0.206 -0.203 -0.200 -0.195

-0.177 -0.389 -0.600 -0.809 -1.015 -1.218 -1.418 -1.613

0.029 0.141 0.335 0.609 0.959 1.382 1.872 2.423

-0.088 -0.195 -0.300 -0.404 -0.508 -0.609 -0.709 -0.806

-10.802 -10.608 -10.308 -9.903 -9.396 -8.787 -8.078 -7.27110.802 10.608 10.308 9.903 9.396 8.787 8.078 7.271

230 240 250 260 270 280 290 300

-0.230 -0.229 -0.227 -0.225 -0.223 -0.220 -0.217 -0.213

-0.082 -0.311 -0.538 -0.763 -0.986 -1.206 -1.423 -1.635

0.006 0.090 0.270 0.542 0.905 1.354 1.884 2.489

-0.041 -0.156 -0.269 -0.382 -0.493 -0.603 -0.711 -0.818

-10.485 -10.329 -10.060 -9.678 -9.185 -8.582 -7.871 -7.05310.485 10.329 10.060 9.678 9.185 8.582 7.871 7.053

230 240 250 260 270 280 290 300

-0.196 -0.196 -0.195 -0.195 -0.194 -0.193 -0.192 -0.191

0.618 0.422 0.227 0.032 -0.162 -0.355 -0.547 -0.738

0.434 0.203 0.058 0.001 0.030 0.144 0.341 0.620

0.309 0.211 0.113 0.016 -0.081 -0.178 -0.274 -0.369

-10.540 -10.751 -10.865 -10.881 -10.799 -10.622 -10.348 -9.97910.540 10.751 10.865 10.881 10.799 10.622 10.348 9.979

230 240 250 260 270 280 290 300

-0.031 -0.031 -0.031 -0.031 -0.031 -0.031 -0.031 -0.031

5.414 5.384 5.353 5.322 5.291 5.261 5.230 5.199

237.934 235.243 232.567 229.906 227.260 224.630 222.015 219.415

2.707 2.692 2.676 2.661 2.646 2.630 2.615 2.600

228.544 225.852 223.176 220.515 217.869 215.238 212.624 210.024-228.544 -225.852 -223.176 -220.515 -217.869 -215.238 -212.624 -210.024

230 240 250 260 270 280 290 300

-0.037 -0.037 -0.037 -0.037 -0.037 -0.037 -0.037 -0.037

5.293 5.256 5.219 5.182 5.145 5.109 5.072 5.035

189.475 186.847 184.238 181.647 179.074 176.520 173.984 171.467

2.646 2.628 2.609 2.591 2.573 2.554 2.536 2.517

180.090 177.462 174.853 172.262 169.689 167.135 164.599 162.081-180.090 -177.462 -174.853 -172.262 -169.689 -167.135 -164.599 -162.081

230 240 250 260 270 280 290 300

-0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020

5.867 5.847 5.827 5.807 5.787 5.766 5.746 5.726

427.536 424.613 421.700 418.797 415.903 413.020 410.147 407.284

2.933 2.923 2.913 2.903 2.893 2.883 2.873 2.863

418.320 415.397 412.483 409.580 406.687 403.803 400.930 398.067-418.320 -415.397 -412.483 -409.580 -406.687 -403.803 -400.930 -398.067

230 240 250 260 270 280 290 300

-0.023 -0.023 -0.023 -0.023 -0.023 -0.023 -0.023 -0.023

5.817 5.794 5.771 5.749 5.726 5.704 5.681 5.659

373.550 370.653 367.767 364.893 362.030 359.178 356.337 353.508

2.908 2.897 2.886 2.874 2.863 2.852 2.841 2.829

364.336 361.439 358.553 355.678 352.815 349.963 347.123 344.294-364.336 -361.439 -358.553 -355.678 -352.815 -349.963 -347.123 -344.294

230 240 250 260 270 280 290 300

-0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034

4.989 4.955 4.921 4.887 4.853 4.819 4.785 4.751

182.608 180.132 177.672 175.230 172.804 170.394 168.002 165.627

2.494 2.477 2.460 2.443 2.426 2.409 2.392 2.375

172.922 170.445 167.984 165.541 163.114 160.705 158.313 155.937-172.922 -170.445 -167.984 -165.541 -163.114 -160.705 -158.313 -155.937

230 240 250 260 270 280 290 300

-0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034

4.989 4.955 4.921 4.887 4.853 4.819 4.785 4.751

182.608 180.132 177.672 175.230 172.804 170.394 168.002 165.627

2.494 2.477 2.460 2.443 2.426 2.409 2.392 2.375

172.922 170.445 167.984 165.541 163.114 160.705 158.313 155.937-172.922 -170.445 -167.984 -165.541 -163.114 -160.705 -158.313 -155.937

230 240 250 260 270 280 290 300

-0.101 -0.101 -0.101 -0.101 -0.101 -0.101 -0.101 -0.101

2.829 2.729 2.628 2.527 2.426 2.325 2.224 2.123

19.358 18.004 16.698 15.440 14.231 13.071 11.960 10.898

1.415 1.364 1.314 1.263 1.213 1.162 1.112 1.061

8.577 7.212 5.898 4.635 3.422 2.260 1.148 0.086-8.577 -7.212 -5.898 -4.635 -3.422 -2.260 -1.148 -0.086

230 240 250 260 270 280 290 300

-0.101 -0.101 -0.101 -0.101 -0.101 -0.101 -0.101 -0.101

2.829 2.729 2.628 2.527 2.426 2.325 2.224 2.123

19.358 18.004 16.698 15.440 14.231 13.071 11.960 10.898

1.415 1.364 1.314 1.263 1.213 1.162 1.112 1.061

8.577 7.212 5.898 4.635 3.422 2.260 1.148 0.086-8.577 -7.212 -5.898 -4.635 -3.422 -2.260 -1.148 -0.086

310 320 330 340 350 360 370 380

-0.143 -0.142 -0.142 -0.141 -0.140 -0.139 -0.138 -0.137

-0.109 -0.252 -0.393 -0.534 -0.675 -0.814 -0.952 -1.089

0.018 0.098 0.239 0.442 0.704 1.025 1.402 1.834

-0.055 -0.126 -0.197 -0.267 -0.337 -0.407 -0.476 -0.544

-10.867 -10.742 -10.545 -10.278 -9.940 -9.534 -9.058 -8.51310.867 10.742 10.545 10.278 9.940 9.534 9.058 8.513

310 320 330 340 350 360 370 380

-0.136 -0.135 -0.135 -0.135 -0.134 -0.133 -0.133 -0.132

0.095 -0.040 -0.175 -0.310 -0.444 -0.577 -0.710 -0.841

0.015 0.003 0.051 0.158 0.325 0.550 0.831 1.168

0.048 -0.020 -0.088 -0.155 -0.222 -0.289 -0.355 -0.421

-11.031 -11.011 -10.924 -10.769 -10.547 -10.258 -9.904 -9.483

11.031 11.011 10.924 10.769 10.547 10.258 9.904 9.483

310 320 330 340 350 360 370 380

-0.190 -0.184 -0.178 -0.170 -0.161 -0.151 -0.139 -0.125

-1.803 -1.988 -2.165 -2.335 -2.496 -2.647 -2.786 -2.911

3.028 3.678 4.365 5.077 5.801 6.523 7.225 7.890

-0.902 -0.994 -1.083 -1.168 -1.248 -1.323 -1.393 -1.455

-6.370 -5.376 -4.293 -3.126 -1.878 -0.555 0.838 2.2946.370 5.376 4.293 3.126 1.878 0.555 -0.838 -2.294

310 320 330 340 350 360 370 380

-0.190 -0.184 -0.178 -0.170 -0.161 -0.151 -0.139 -0.125

-1.803 -1.988 -2.165 -2.335 -2.496 -2.647 -2.786 -2.911

3.028 3.678 4.365 5.077 5.801 6.523 7.225 7.890

-0.902 -0.994 -1.083 -1.168 -1.248 -1.323 -1.393 -1.455

-6.370 -5.376 -4.293 -3.126 -1.878 -0.555 0.838 2.2946.370 5.376 4.293 3.126 1.878 0.555 -0.838 -2.294

310 320 330 340 350 360 370 380

-0.208 -0.203 -0.196 -0.189 -0.180 -0.170 -0.159 -0.145

-1.843 -2.046 -2.242 -2.431 -2.612 -2.782 -2.941 -3.086

3.163 3.897 4.680 5.502 6.349 7.204 8.049 8.863

-0.922 -1.023 -1.121 -1.216 -1.306 -1.391 -1.470 -1.543

-6.131 -5.108 -3.987 -2.771 -1.466 -0.075 1.396 2.9396.131 5.108 3.987 2.771 1.466 0.075 -1.396 -2.939

310 320 330 340 350 360 370 380

-0.189 -0.187 -0.185 -0.182 -0.180 -0.176 -0.172 -0.168

-0.927 -1.114 -1.299 -1.482 -1.661 -1.837 -2.010 -2.178

0.978 1.413 1.921 2.498 3.140 3.841 4.595 5.394

-0.464 -0.557 -0.650 -0.741 -0.831 -0.919 -1.005 -1.089

-9.515 -8.958 -8.308 -7.568 -6.737 -5.818 -4.813 -3.7259.515 8.958 8.308 7.568 6.737 5.818 4.813 3.725

310 320 330 340 350 360 370 380

-0.031 -0.031 -0.031 -0.031 -0.031 -0.031 -0.031 -0.031

5.169 5.138 5.107 5.076 5.046 5.015 4.984 4.954

216.831 214.262 211.708 209.170 206.647 204.139 201.647 199.170

2.584 2.569 2.554 2.538 2.523 2.507 2.492 2.477

207.440 204.871 202.317 199.779 197.256 194.749 192.256 189.780-207.440 -204.871 -202.317 -199.779 -197.256 -194.749 -192.256 -189.780

310 320 330 340 350 360 370 380

-0.037 -0.037 -0.037 -0.037 -0.037 -0.037 -0.037 -0.037

4.998 4.961 4.924 4.888 4.851 4.814 4.777 4.740

168.967 166.487 164.024 161.580 159.155 156.747 154.359 151.988

2.499 2.481 2.462 2.444 2.425 2.407 2.389 2.370

159.582 157.102 154.640 152.196 149.771 147.364 144.975 142.605-159.582 -157.102 -154.640 -152.196 -149.771 -147.364 -144.975 -142.605

310 320 330 340 350 360 370 380

-0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020

5.706 5.686 5.666 5.646 5.626 5.606 5.586 5.566

404.431 401.588 398.755 395.932 393.119 390.316 387.523 384.740

2.853 2.843 2.833 2.823 2.813 2.803 2.793 2.783

395.214 392.371 389.538 386.715 383.902 381.099 378.306 375.524-395.214 -392.371 -389.538 -386.715 -383.902 -381.099 -378.306 -375.524

310 320 330 340 350 360 370 380

-0.023 -0.023 -0.023 -0.023 -0.023 -0.023 -0.023 -0.023

5.636 5.613 5.591 5.568 5.546 5.523 5.500 5.478

350.690 347.883 345.088 342.304 339.531 336.770 334.019 331.280

2.818 2.807 2.795 2.784 2.773 2.761 2.750 2.739

341.476 338.669 335.874 333.090 330.317 327.555 324.805 322.066-341.476 -338.669 -335.874 -333.090 -330.317 -327.555 -324.805 -322.066

310 320 330 340 350 360 370 380

-0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034

4.717 4.683 4.649 4.615 4.581 4.547 4.513 4.479

163.268 160.927 158.602 156.294 154.003 151.730 149.473 147.233

2.358 2.342 2.325 2.308 2.291 2.274 2.257 2.240

153.579 151.237 148.913 146.605 144.315 142.041 139.784 137.545-153.579 -151.237 -148.913 -146.605 -144.315 -142.041 -139.784 -137.545

310 320 330 340 350 360 370 380

-0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034

4.717 4.683 4.649 4.615 4.581 4.547 4.513 4.479

163.268 160.927 158.602 156.294 154.003 151.730 149.473 147.233

2.358 2.342 2.325 2.308 2.291 2.274 2.257 2.240

153.579 151.237 148.913 146.605 144.315 142.041 139.784 137.545-153.579 -151.237 -148.913 -146.605 -144.315 -142.041 -139.784 -137.545

310 320 330 340 350 360 370 380

-0.101 -0.101 -0.101 -0.101 -0.101 -0.101 -0.101 -0.101

2.022 1.921 1.820 1.719 1.618 1.517 1.416 1.316

9.886 8.923 8.009 7.145 6.331 5.566 4.851 4.186

1.011 0.960 0.910 0.859 0.809 0.759 0.708 0.658

-0.925 -1.885 -2.795 -3.655 -4.464 -5.222 -5.931 -6.5880.925 1.885 2.795 3.655 4.464 5.222 5.931 6.588

310 320 330 340 350 360 370 380

-0.101 -0.101 -0.101 -0.101 -0.101 -0.101 -0.101 -0.101

2.022 1.921 1.820 1.719 1.618 1.517 1.416 1.316

9.886 8.923 8.009 7.145 6.331 5.566 4.851 4.186

1.011 0.960 0.910 0.859 0.809 0.759 0.708 0.658

-0.925 -1.885 -2.795 -3.655 -4.464 -5.222 -5.931 -6.5880.925 1.885 2.795 3.655 4.464 5.222 5.931 6.588

390 400 410 420 430 440 450 460

-0.135 -0.134 -0.132 -0.130 -0.127 -0.124 -0.121 -0.118

-1.224 -1.358 -1.490 -1.619 -1.746 -1.871 -1.992 -2.110

2.319 2.853 3.434 4.057 4.720 5.417 6.142 6.890

-0.612 -0.679 -0.745 -0.810 -0.873 -0.935 -0.996 -1.055

-7.901 -7.222 -6.477 -5.668 -4.795 -3.859 -2.863 -1.8087.901 7.222 6.477 5.668 4.795 3.859 2.863 1.808

390 400 410 420 430 440 450 460

-0.131 -0.129 -0.128 -0.127 -0.125 -0.123 -0.121 -0.118

-0.972 -1.101 -1.229 -1.356 -1.481 -1.604 -1.725 -1.843

1.559 2.002 2.495 3.035 3.620 4.247 4.911 5.609

-0.486 -0.551 -0.615 -0.678 -0.740 -0.802 -0.862 -0.922

-8.997 -8.446 -7.832 -7.154 -6.413 -5.611 -4.749 -3.827

8.997 8.446 7.832 7.154 6.413 5.611 4.749 3.827

390 400 410 420 430 440 450 460

-0.110 -0.092 -0.072 -0.049 -0.023 0.006 0.039 0.075

-3.021 -3.113 -3.185 -3.233 -3.256 -3.250 -3.211 -3.136

8.497 9.022 9.444 9.736 9.874 9.836 9.601 9.157

-1.510 -1.556 -1.592 -1.617 -1.628 -1.625 -1.606 -1.568

3.804 5.360 6.953 8.569 10.198 11.823 13.428 14.996-3.804 -5.360 -6.953 -8.569 -10.198 -11.823 -13.428 -14.996

390 400 410 420 430 440 450 460

-0.110 -0.092 -0.072 -0.049 -0.023 0.006 0.039 0.075

-3.021 -3.113 -3.185 -3.233 -3.256 -3.250 -3.211 -3.136

8.497 9.022 9.444 9.736 9.874 9.836 9.601 9.157

-1.510 -1.556 -1.592 -1.617 -1.628 -1.625 -1.606 -1.568

3.804 5.360 6.953 8.569 10.198 11.823 13.428 14.996-3.804 -5.360 -6.953 -8.569 -10.198 -11.823 -13.428 -14.996

390 400 410 420 430 440 450 460

-0.129 -0.111 -0.089 -0.064 -0.035 -0.002 0.036 0.079

-3.215 -3.325 -3.415 -3.479 -3.514 -3.515 -3.479 -3.399

9.620 10.293 10.852 11.263 11.491 11.502 11.265 10.757

-1.607 -1.663 -1.707 -1.739 -1.757 -1.758 -1.739 -1.700

4.546 6.209 7.916 9.655 11.412 13.170 14.909 16.609-4.546 -6.209 -7.916 -9.655 -11.412 -13.170 -14.909 -16.609

390 400 410 420 430 440 450 460

-0.163 -0.157 -0.150 -0.142 -0.133 -0.122 -0.110 -0.095

-2.340 -2.497 -2.647 -2.789 -2.921 -3.043 -3.153 -3.248

6.230 7.093 7.969 8.846 9.707 10.534 11.306 11.999

-1.170 -1.248 -1.323 -1.394 -1.461 -1.522 -1.576 -1.624

-2.554 -1.306 0.017 1.412 2.872 4.394 5.970 7.5942.554 1.306 -0.017 -1.412 -2.872 -4.394 -5.970 -7.594

390 400 410 420 430 440 450 460

-0.031 -0.031 -0.031 -0.031 -0.031 -0.031 -0.031 -0.031

4.923 4.892 4.861 4.831 4.800 4.769 4.739 4.708

196.708 194.262 191.831 189.416 187.016 184.631 182.261 179.907

2.461 2.446 2.431 2.415 2.400 2.385 2.369 2.354

187.318 184.872 182.441 180.026 177.626 175.241 172.872 170.518-187.318 -184.872 -182.441 -180.026 -177.626 -175.241 -172.872 -170.518

390 400 410 420 430 440 450 460

-0.037 -0.037 -0.037 -0.037 -0.037 -0.037 -0.037 -0.037

4.703 4.667 4.630 4.593 4.556 4.519 4.483 4.446

149.636 147.303 144.988 142.691 140.412 138.152 135.911 133.688

2.352 2.333 2.315 2.296 2.278 2.260 2.241 2.223

140.253 137.920 135.605 133.308 131.030 128.771 126.529 124.307-140.253 -137.920 -135.605 -133.308 -131.030 -128.771 -126.529 -124.307

390 400 410 420 430 440 450 460

-0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020

5.545 5.525 5.505 5.485 5.465 5.445 5.425 5.405

381.967 379.204 376.452 373.709 370.976 368.254 365.541 362.839

2.773 2.763 2.753 2.743 2.733 2.723 2.712 2.702

372.751 369.988 367.236 364.493 361.760 359.038 356.325 353.623-372.751 -369.988 -367.236 -364.493 -361.760 -359.038 -356.325 -353.623

390 400 410 420 430 440 450 460

-0.023 -0.023 -0.023 -0.023 -0.023 -0.023 -0.023 -0.023

5.455 5.433 5.410 5.387 5.365 5.342 5.320 5.297

328.553 325.836 323.131 320.438 317.755 315.084 312.424 309.776

2.728 2.716 2.705 2.694 2.682 2.671 2.660 2.648

319.339 316.623 313.918 311.224 308.542 305.870 303.211 300.562-319.339 -316.623 -313.918 -311.224 -308.542 -305.870 -303.211 -300.562

390 400 410 420 430 440 450 460

-0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034

4.445 4.411 4.378 4.344 4.310 4.276 4.242 4.208

145.010 142.804 140.615 138.443 136.288 134.150 132.029 129.924

2.223 2.206 2.189 2.172 2.155 2.138 2.121 2.104

135.322 133.116 130.928 128.756 126.601 124.463 122.342 120.238-135.322 -133.116 -130.928 -128.756 -126.601 -124.463 -122.342 -120.238

390 400 410 420 430 440 450 460

-0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034

4.445 4.411 4.378 4.344 4.310 4.276 4.242 4.208

145.010 142.804 140.615 138.443 136.288 134.150 132.029 129.924

2.223 2.206 2.189 2.172 2.155 2.138 2.121 2.104

135.322 133.116 130.928 128.756 126.601 124.463 122.342 120.238-135.322 -133.116 -130.928 -128.756 -126.601 -124.463 -122.342 -120.238

390 400 410 420 430 440 450 460

-0.101 -0.101 -0.100 -0.100 -0.100 -0.100 -0.100 -0.100

1.215 1.114 1.014 0.914 0.813 0.713 0.613 0.513

3.570 3.003 2.486 2.018 1.599 1.230 0.909 0.637

0.608 0.557 0.507 0.457 0.407 0.357 0.307 0.257

-7.196 -7.753 -8.260 -8.717 -9.123 -9.480 -9.787 -10.0437.196 7.753 8.260 8.717 9.123 9.480 9.787 10.043

390 400 410 420 430 440 450 460

-0.101 -0.101 -0.100 -0.100 -0.100 -0.100 -0.100 -0.100

1.215 1.114 1.014 0.914 0.813 0.713 0.613 0.513

3.570 3.003 2.486 2.018 1.599 1.230 0.909 0.637

0.608 0.557 0.507 0.457 0.407 0.357 0.307 0.257

-7.196 -7.753 -8.260 -8.717 -9.123 -9.480 -9.787 -10.0437.196 7.753 8.260 8.717 9.123 9.480 9.787 10.043

470 480 490 500 510 520 530 540

-0.114 -0.109 -0.104 -0.098 -0.091 -0.084 -0.075 -0.065

-2.224 -2.333 -2.437 -2.535 -2.627 -2.710 -2.785 -2.851

7.652 8.422 9.190 9.945 10.675 11.367 12.006 12.575

-1.112 -1.166 -1.218 -1.268 -1.313 -1.355 -1.393 -1.425

-0.696 0.470 1.689 2.956 4.270 5.625 7.018 8.4430.696 -0.470 -1.689 -2.956 -4.270 -5.625 -7.018 -8.443

470 480 490 500 510 520 530 540

-0.116 -0.113 -0.109 -0.105 -0.101 -0.095 -0.090 -0.083

-1.959 -2.072 -2.181 -2.286 -2.386 -2.482 -2.572 -2.655

6.335 7.084 7.850 8.625 9.400 10.168 10.916 11.632

-0.980 -1.036 -1.090 -1.143 -1.193 -1.241 -1.286 -1.327

-2.848 -1.812 -0.721 0.421 1.615 2.856 4.141 5.469

2.848 1.812 0.721 -0.421 -1.615 -2.856 -4.141 -5.469

470 480 490 500 510 520 530 540

0.115 0.157 0.202 0.249 0.295 0.341 0.382 0.418

-3.021 -2.864 -2.662 -2.414 -2.118 -1.778 -1.395 -0.977

8.500 7.639 6.600 5.425 4.178 2.943 1.813 0.890

-1.511 -1.432 -1.331 -1.207 -1.059 -0.889 -0.698 -0.489

16.507 17.939 19.270 20.477 21.536 22.425 23.122 23.611-16.507 -17.939 -19.270 -20.477 -21.536 -22.425 -23.122 -23.611

470 480 490 500 510 520 530 540

0.115 0.157 0.202 0.249 0.295 0.341 0.382 0.418

-3.021 -2.864 -2.662 -2.414 -2.118 -1.778 -1.395 -0.977

8.500 7.639 6.600 5.425 4.178 2.943 1.813 0.890

-1.511 -1.432 -1.331 -1.207 -1.059 -0.889 -0.698 -0.489

16.507 17.939 19.270 20.477 21.536 22.425 23.122 23.611-16.507 -17.939 -19.270 -20.477 -21.536 -22.425 -23.122 -23.611

470 480 490 500 510 520 530 540

0.128 0.181 0.238 0.297 0.358 0.416 0.469 0.513

-3.272 -3.091 -2.854 -2.557 -2.199 -1.783 -1.313 -0.800

9.964 8.895 7.581 6.084 4.500 2.957 1.605 0.596

-1.636 -1.546 -1.427 -1.278 -1.099 -0.891 -0.657 -0.400

18.245 19.791 21.218 22.496 23.595 24.487 25.143 25.543-18.245 -19.791 -21.218 -22.496 -23.595 -24.487 -25.143 -25.543

470 480 490 500 510 520 530 540

-0.079 -0.059 -0.037 -0.012 0.017 0.050 0.087 0.128

-3.326 -3.386 -3.423 -3.435 -3.418 -3.368 -3.281 -3.153

12.587 13.041 13.330 13.422 13.289 12.904 12.247 11.312

-1.663 -1.693 -1.712 -1.717 -1.709 -1.684 -1.641 -1.577

9.257 10.950 12.661 14.379 16.088 17.772 19.412 20.989-9.257 -10.950 -12.661 -14.379 -16.088 -17.772 -19.412 -20.989

470 480 490 500 510 520 530 540

-0.031 -0.031 -0.031 -0.031 -0.031 -0.031 -0.031 -0.031

4.677 4.647 4.616 4.585 4.554 4.524 4.493 4.462

177.568 175.245 172.937 170.644 168.366 166.104 163.858 161.626

2.339 2.323 2.308 2.293 2.277 2.262 2.247 2.231

168.179 165.856 163.548 161.256 158.978 156.717 154.470 152.239-168.179 -165.856 -163.548 -161.256 -158.978 -156.717 -154.470 -152.239

470 480 490 500 510 520 530 540

-0.037 -0.037 -0.037 -0.037 -0.037 -0.037 -0.037 -0.037

4.409 4.372 4.335 4.298 4.262 4.225 4.188 4.151

131.483 129.297 127.129 124.979 122.848 120.735 118.641 116.565

2.204 2.186 2.168 2.149 2.131 2.112 2.094 2.076

122.102 119.916 117.748 115.599 113.468 111.356 109.262 107.186-122.102 -119.916 -117.748 -115.599 -113.468 -111.356 -109.262 -107.186

470 480 490 500 510 520 530 540

-0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020

5.385 5.365 5.345 5.324 5.304 5.284 5.264 5.244

360.146 357.464 354.792 352.129 349.477 346.835 344.203 341.581

2.692 2.682 2.672 2.662 2.652 2.642 2.632 2.622

350.931 348.248 345.576 342.914 340.262 337.619 334.987 332.365-350.931 -348.248 -345.576 -342.914 -340.262 -337.619 -334.987 -332.365

470 480 490 500 510 520 530 540

-0.023 -0.023 -0.023 -0.023 -0.023 -0.023 -0.023 -0.023

5.274 5.252 5.229 5.207 5.184 5.161 5.139 5.116

307.138 304.512 301.898 299.294 296.702 294.122 291.552 288.994

2.637 2.626 2.615 2.603 2.592 2.581 2.569 2.558

297.925 295.299 292.685 290.081 287.489 284.909 282.339 279.781-297.925 -295.299 -292.685 -290.081 -287.489 -284.909 -282.339 -279.781

470 480 490 500 510 520 530 540

-0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034

4.174 4.140 4.106 4.072 4.038 4.004 3.970 3.936

127.837 125.767 123.714 121.677 119.658 117.655 115.670 113.702

2.087 2.070 2.053 2.036 2.019 2.002 1.985 1.968

118.151 116.081 114.028 111.992 109.973 107.971 105.986 104.018-118.151 -116.081 -114.028 -111.992 -109.973 -107.971 -105.986 -104.018

470 480 490 500 510 520 530 540

-0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034

4.174 4.140 4.106 4.072 4.038 4.004 3.970 3.936

127.837 125.767 123.714 121.677 119.658 117.655 115.670 113.702

2.087 2.070 2.053 2.036 2.019 2.002 1.985 1.968

118.151 116.081 114.028 111.992 109.973 107.971 105.986 104.018-118.151 -116.081 -114.028 -111.992 -109.973 -107.971 -105.986 -104.018

470 480 490 500 510 520 530 540

-0.100 -0.100 -0.099 -0.099 -0.099 -0.099 -0.099 -0.098

0.413 0.314 0.214 0.115 0.016 -0.083 -0.182 -0.280

0.413 0.238 0.111 0.032 0.001 0.017 0.080 0.189

0.207 0.157 0.107 0.057 0.008 -0.041 -0.091 -0.140

-10.250 -10.407 -10.514 -10.571 -10.579 -10.538 -10.447 -10.30710.250 10.407 10.514 10.571 10.579 10.538 10.447 10.307

470 480 490 500 510 520 530 540

-0.100 -0.100 -0.099 -0.099 -0.099 -0.099 -0.099 -0.098

0.413 0.314 0.214 0.115 0.016 -0.083 -0.182 -0.280

0.413 0.238 0.111 0.032 0.001 0.017 0.080 0.189

0.207 0.157 0.107 0.057 0.008 -0.041 -0.091 -0.140

-10.250 -10.407 -10.514 -10.571 -10.579 -10.538 -10.447 -10.30710.250 10.407 10.514 10.571 10.579 10.538 10.447 10.307

550 560 570 580 590 600 610 620

-0.054 -0.041 -0.027 -0.011 0.007 0.028 0.050 0.075

-2.905 -2.946 -2.973 -2.984 -2.976 -2.949 -2.898 -2.823

13.057 13.431 13.678 13.777 13.709 13.454 12.997 12.330

-1.452 -1.473 -1.487 -1.492 -1.488 -1.474 -1.449 -1.411

9.895 11.368 12.855 14.347 15.835 17.309 18.758 20.170-9.895 -11.368 -12.855 -14.347 -15.835 -17.309 -18.758 -20.170

550 560 570 580 590 600 610 620

-0.076 -0.067 -0.057 -0.046 -0.034 -0.020 -0.004 0.013

-2.730 -2.797 -2.855 -2.901 -2.935 -2.955 -2.960 -2.947

12.304 12.916 13.452 13.893 14.222 14.418 14.462 14.333

-1.365 -1.399 -1.427 -1.451 -1.468 -1.478 -1.480 -1.473

6.834 8.232 9.660 11.110 12.578 14.056 15.536 17.009

-6.834 -8.232 -9.660 -11.110 -12.578 -14.056 -15.536 -17.009

550 560 570 580 590 600 610 620

0.446 0.463 0.469 0.462 0.443 0.413 0.373 0.327

-0.532 -0.068 0.401 0.863 1.306 1.719 2.092 2.419

0.263 0.004 0.150 0.694 1.589 2.751 4.075 5.447

-0.266 -0.034 0.200 0.432 0.653 0.859 1.046 1.209

23.877 23.911 23.711 23.279 22.626 21.767 20.721 19.511-23.877 -23.911 -23.711 -23.279 -22.626 -21.767 -20.721 -19.511

550 560 570 580 590 600 610 620

0.446 0.463 0.469 0.462 0.443 0.413 0.373 0.327

-0.532 -0.068 0.401 0.863 1.306 1.719 2.092 2.419

0.263 0.004 0.150 0.694 1.589 2.751 4.075 5.447

-0.266 -0.034 0.200 0.432 0.653 0.859 1.046 1.209

23.877 23.911 23.711 23.279 22.626 21.767 20.721 19.511-23.877 -23.911 -23.711 -23.279 -22.626 -21.767 -20.721 -19.511

550 560 570 580 590 600 610 620

0.544 0.558 0.554 0.532 0.493 0.440 0.377 0.309

-0.256 0.302 0.857 1.389 1.881 2.321 2.698 3.007

0.061 0.085 0.683 1.795 3.295 5.014 6.774 8.414

-0.128 0.151 0.428 0.694 0.941 1.160 1.349 1.503

25.671 25.520 25.092 24.398 23.457 22.296 20.948 19.444-25.671 -25.520 -25.092 -24.398 -23.457 -22.296 -20.948 -19.444

550 560 570 580 590 600 610 620

0.173 0.221 0.271 0.322 0.372 0.418 0.457 0.486

-2.981 -2.760 -2.489 -2.167 -1.795 -1.378 -0.921 -0.434

10.107 8.666 7.048 5.342 3.666 2.159 0.964 0.215

-1.490 -1.380 -1.245 -1.084 -0.898 -0.689 -0.460 -0.217

22.479 23.860 25.104 26.188 27.085 27.774 28.234 28.451-22.479 -23.860 -25.104 -26.188 -27.085 -27.774 -28.234 -28.451

550 560 570 580 590 600 610 620

-0.031 -0.031 -0.031 -0.031 -0.031 -0.031 -0.031 -0.031

4.432 4.401 4.370 4.340 4.309 4.278 4.247 4.217

159.410 157.210 155.024 152.854 150.700 148.560 146.436 144.328

2.216 2.200 2.185 2.170 2.154 2.139 2.124 2.108

150.023 147.823 145.637 143.468 141.313 139.174 137.050 134.942-150.023 -147.823 -145.637 -143.468 -141.313 -139.174 -137.050 -134.942

550 560 570 580 590 600 610 620

-0.037 -0.037 -0.037 -0.037 -0.037 -0.037 -0.037 -0.037

4.114 4.078 4.041 4.004 3.967 3.930 3.894 3.857

114.507 112.468 110.447 108.445 106.461 104.495 102.548 100.619

2.057 2.039 2.020 2.002 1.984 1.965 1.947 1.928

105.129 103.090 101.070 99.068 97.084 95.119 93.172 91.244-105.129 -103.090 -101.070 -99.068 -97.084 -95.119 -93.172 -91.244

550 560 570 580 590 600 610 620

-0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020 -0.020

5.224 5.204 5.184 5.164 5.144 5.124 5.103 5.083

338.969 336.366 333.775 331.193 328.621 326.059 323.507 320.965

2.612 2.602 2.592 2.582 2.572 2.562 2.552 2.542

329.753 327.151 324.559 321.977 319.406 316.844 314.292 311.750-329.753 -327.151 -324.559 -321.977 -319.406 -316.844 -314.292 -311.750

550 560 570 580 590 600 610 620

-0.023 -0.023 -0.023 -0.023 -0.023 -0.023 -0.023 -0.023

5.094 5.071 5.048 5.026 5.003 4.981 4.958 4.935

286.447 283.911 281.387 278.874 276.372 273.882 271.403 268.935

2.547 2.535 2.524 2.513 2.502 2.490 2.479 2.468

277.234 274.699 272.175 269.662 267.160 264.670 262.191 259.723-277.234 -274.699 -272.175 -269.662 -267.160 -264.670 -262.191 -259.723

550 560 570 580 590 600 610 620

-0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034

3.902 3.868 3.835 3.801 3.767 3.733 3.699 3.665

111.750 109.815 107.898 105.997 104.113 102.247 100.397 98.564

1.951 1.934 1.917 1.900 1.883 1.866 1.849 1.832

102.067 100.132 98.215 96.315 94.431 92.565 90.716 88.883-102.067 -100.132 -98.215 -96.315 -94.431 -92.565 -90.716 -88.883

550 560 570 580 590 600 610 620

-0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034 -0.034

3.902 3.868 3.835 3.801 3.767 3.733 3.699 3.665

111.750 109.815 107.898 105.997 104.113 102.247 100.397 98.564

1.951 1.934 1.917 1.900 1.883 1.866 1.849 1.832

102.067 100.132 98.215 96.315 94.431 92.565 90.716 88.883-102.067 -100.132 -98.215 -96.315 -94.431 -92.565 -90.716 -88.883

550 560 570 580 590 600 610 620

-0.098 -0.098 -0.097 -0.097 -0.097 -0.096 -0.096 -0.095

-0.378 -0.476 -0.573 -0.670 -0.767 -0.863 -0.959 -1.054

0.345 0.547 0.794 1.086 1.422 1.801 2.223 2.686

-0.189 -0.238 -0.287 -0.335 -0.383 -0.432 -0.479 -0.527

-10.118 -9.880 -9.593 -9.258 -8.875 -8.443 -7.964 -7.43710.118 9.880 9.593 9.258 8.875 8.443 7.964 7.437

550 560 570 580 590 600 610 620

-0.098 -0.098 -0.097 -0.097 -0.097 -0.096 -0.096 -0.095

-0.378 -0.476 -0.573 -0.670 -0.767 -0.863 -0.959 -1.054

0.345 0.547 0.794 1.086 1.422 1.801 2.223 2.686

-0.189 -0.238 -0.287 -0.335 -0.383 -0.432 -0.479 -0.527

-10.118 -9.880 -9.593 -9.258 -8.875 -8.443 -7.964 -7.43710.118 9.880 9.593 9.258 8.875 8.443 7.964 7.437

630 640 650

0.103 0.132 0.163

-2.720 -2.588 -2.425

11.451 10.368 9.104

-1.360 -1.294 -1.213

21.530 22.824 24.037-21.530 -22.824 -24.037

630 640 650

0.033 0.055 0.078

-2.914 -2.859 -2.781

14.016 13.496 12.765

-1.457 -1.430 -1.390

18.466 19.896 21.286

-18.466 -19.896 -21.286

630 640 650

0.276 0.224 0.172

2.695 2.918 3.090

6.761 7.930 8.893

1.347 1.459 1.545

18.164 16.705 15.160-18.164 -16.705 -15.160

630 640 650

0.276 0.224 0.172

2.695 2.918 3.090

6.761 7.930 8.893

1.347 1.459 1.545

18.164 16.705 15.160-18.164 -16.705 -15.160

630 640 650

0.240 0.175 0.114

3.247 3.422 3.535

9.814 10.898 11.633

1.624 1.711 1.768

17.821 16.110 14.342-17.821 -16.110 -14.342

630 640 650

0.504 0.507 0.495

0.069 0.576 1.071

0.005 0.378 1.305

0.035 0.288 0.536

28.417 28.129 27.593-28.417 -28.129 -27.593

630 640 650

-0.031 -0.031 -0.031

4.186 4.155 4.125

142.234 140.156 138.094

2.093 2.078 2.062

132.849 130.771 128.709-132.849 -130.771 -128.709

630 640 650

-0.037 -0.037 -0.037

3.820 3.783 3.747

98.709 96.817 94.943

1.910 1.892 1.873

89.333 87.442 85.569-89.333 -87.442 -85.569

630 640 650

-0.020 -0.020 -0.020

5.063 5.043 5.023

318.433 315.912 313.400

2.532 2.522 2.512

309.219 306.697 304.186-309.219 -306.697 -304.186

630 640 650

-0.023 -0.023 -0.023

4.913 4.890 4.868

266.479 264.033 261.599

2.456 2.445 2.434

257.267 254.822 252.388-257.267 -254.822 -252.388

630 640 650

-0.034 -0.034 -0.034

3.631 3.597 3.563

96.748 94.949 93.167

1.816 1.799 1.782

87.068 85.269 83.487-87.068 -85.269 -83.487

630 640 650

-0.034 -0.034 -0.034

3.631 3.597 3.563

96.748 94.949 93.167

1.816 1.799 1.782

87.068 85.269 83.487-87.068 -85.269 -83.487

630 640 650

-0.095 -0.094 -0.093

-1.149 -1.242 -1.336

3.190 3.733 4.314

-0.574 -0.621 -0.668

-6.863 -6.242 -5.5746.863 6.242 5.574

630 640 650

-0.095 -0.094 -0.093

-1.149 -1.242 -1.336

3.190 3.733 4.314

-0.574 -0.621 -0.668

-6.863 -6.242 -5.5746.863 6.242 5.574


1

ASin Presa



4 Izquierda 37.455

BSin Presa



8 Izquierda 44.899

CSin Presa




DSin Presa




ESin Presa




FSin Presa




GSin Presa



28 Izquierda 68.92

C.máquinas (millones $)

El equipamiento no es más del 20% de la inversión de una central hidroeléctrica. Por lo tanto consideraremos que el costo del equipamiento es del 20% del costo total de la central.

El equipamiento no es más del 20% de la inversión de una central hidroeléctrica. Por lo tanto consideraremos que el costo del equipamiento es del 20% del costo total de la central.

RENTABILIDAD

Opción Trazo Op MargenAño 1 Año 2 Año 3

MWH/año MWH/año MWH/año1

ASin Presa

Derecha -18.17 2.74 2.74 2.742 Izquierda -18.93 2.74 2.74 2.743

Con PresaDerecha -186.20 5.39 5.39 5.39

4 Izquierda -187.23 5.39 5.39 5.395

BSin Presa



8 Izquierda -224.43 6.85 6.85 6.859

CSin Presa



12 Izquierda -271.63 10.59 10.59 10.5913

DSin Presa



16 Izquierda -713.19 35.95 35.95 35.9517

ESin Presa



20 Izquierda -839.98 41.34 41.34 41.3421

FSin Presa



24 Izquierda -594.30 28.76 28.76 28.7625

GSin Presa



28 Izquierda -344.60 15.43 15.43 15.43

Inversion (millones $)

Año 4 Año 5 Año 6 Año 7 Año 8 Año 9 Año 10 Año 11MWH/año MWH/año MWH/año MWH/año MWH/año MWH/año MWH/año MWH/año

2.74 2.74 2.74 2.74 2.74 2.74 2.74 2.742.74 2.74 2.74 2.74 2.74 2.74 2.74 2.745.39 5.39 5.39 5.39 5.39 5.39 5.39 5.395.39 5.39 5.39 5.39 5.39 5.39 5.39 5.393.49 3.49 3.49 3.49 3.49 3.49 3.49 3.493.49 3.49 3.49 3.49 3.49 3.49 3.49 3.496.85 6.85 6.85 6.85 6.85 6.85 6.85 6.856.85 6.85 6.85 6.85 6.85 6.85 6.85 6.855.39 5.39 5.39 5.39 5.39 5.39 5.39 5.395.39 5.39 5.39 5.39 5.39 5.39 5.39 5.39

10.59 10.59 10.59 10.59 10.59 10.59 10.59 10.5910.59 10.59 10.59 10.59 10.59 10.59 10.59 10.5918.29 18.29 18.29 18.29 18.29 18.29 18.29 18.2918.29 18.29 18.29 18.29 18.29 18.29 18.29 18.2935.95 35.95 35.95 35.95 35.95 35.95 35.95 35.9535.95 35.95 35.95 35.95 35.95 35.95 35.95 35.9521.04 21.04 21.04 21.04 21.04 21.04 21.04 21.0421.04 21.04 21.04 21.04 21.04 21.04 21.04 21.0441.34 41.34 41.34 41.34 41.34 41.34 41.34 41.3441.34 41.34 41.34 41.34 41.34 41.34 41.34 41.3414.64 14.64 14.64 14.64 14.64 14.64 14.64 14.6414.64 14.64 14.64 14.64 14.64 14.64 14.64 14.6428.76 28.76 28.76 28.76 28.76 28.76 28.76 28.7628.76 28.76 28.76 28.76 28.76 28.76 28.76 28.76

7.85 7.85 7.85 7.85 7.85 7.85 7.85 7.857.85 7.85 7.85 7.85 7.85 7.85 7.85 7.85

15.43 15.43 15.43 15.43 15.43 15.43 15.43 15.4315.43 15.43 15.43 15.43 15.43 15.43 15.43 15.43


2.74 2.74 2.74 2.74 2.74 2.74 2.74 2.742.74 2.74 2.74 2.74 2.74 2.74 2.74 2.745.39 5.39 5.39 5.39 5.39 5.39 5.39 5.395.39 5.39 5.39 5.39 5.39 5.39 5.39 5.393.49 3.49 3.49 3.49 3.49 3.49 3.49 3.493.49 3.49 3.49 3.49 3.49 3.49 3.49 3.496.85 6.85 6.85 6.85 6.85 6.85 6.85 6.856.85 6.85 6.85 6.85 6.85 6.85 6.85 6.855.39 5.39 5.39 5.39 5.39 5.39 5.39 5.395.39 5.39 5.39 5.39 5.39 5.39 5.39 5.39

10.59 10.59 10.59 10.59 10.59 10.59 10.59 10.5910.59 10.59 10.59 10.59 10.59 10.59 10.59 10.5918.29 18.29 18.29 18.29 18.29 18.29 18.29 18.2918.29 18.29 18.29 18.29 18.29 18.29 18.29 18.2935.95 35.95 35.95 35.95 35.95 35.95 35.95 35.9535.95 35.95 35.95 35.95 35.95 35.95 35.95 35.9521.04 21.04 21.04 21.04 21.04 21.04 21.04 21.0421.04 21.04 21.04 21.04 21.04 21.04 21.04 21.0441.34 41.34 41.34 41.34 41.34 41.34 41.34 41.3441.34 41.34 41.34 41.34 41.34 41.34 41.34 41.3414.64 14.64 14.64 14.64 14.64 14.64 14.64 14.6414.64 14.64 14.64 14.64 14.64 14.64 14.64 14.6428.76 28.76 28.76 28.76 28.76 28.76 28.76 28.7628.76 28.76 28.76 28.76 28.76 28.76 28.76 28.76

7.85 7.85 7.85 7.85 7.85 7.85 7.85 7.857.85 7.85 7.85 7.85 7.85 7.85 7.85 7.85

15.43 15.43 15.43 15.43 15.43 15.43 15.43 15.4315.43 15.43 15.43 15.43 15.43 15.43 15.43 15.43

Año 28 Año 29 Año 30 Año 31 Año 32 Año 33TIR VAN

MWH/año MWH/año MWH/año MWH/año MWH/año MWH/año2.74 2.74 2.74 2.74 2.74 2.74 15% $4.16 2.74 2.74 2.74 2.74 2.74 2.74 14% $3.40 5.39 5.39 5.39 5.39 5.39 5.39 0% -$142.33 5.39 5.39 5.39 5.39 5.39 5.39 0% -$143.36 3.49 3.49 3.49 3.49 3.49 3.49 20% $11.11 3.49 3.49 3.49 3.49 3.49 3.49 20% $11.11 6.85 6.85 6.85 6.85 6.85 6.85 0% -$168.71 6.85 6.85 6.85 6.85 6.85 6.85 0% -$168.71 5.39 5.39 5.39 5.39 5.39 5.39 22% $19.58 5.39 5.39 5.39 5.39 5.39 5.39 21% $17.86

10.59 10.59 10.59 10.59 10.59 10.59 2% -$183.12 10.59 10.59 10.59 10.59 10.59 10.59 2% -$185.44 18.29 18.29 18.29 18.29 18.29 18.29 9% -$47.16 18.29 18.29 18.29 18.29 18.29 18.29 10% -$33.33 35.95 35.95 35.95 35.95 35.95 35.95 3% -$427.38 35.95 35.95 35.95 35.95 35.95 35.95 3% -$420.74 21.04 21.04 21.04 21.04 21.04 21.04 8% -$72.25 21.04 21.04 21.04 21.04 21.04 21.04 8% -$64.65 41.34 41.34 41.34 41.34 41.34 41.34 3% -$510.02 41.34 41.34 41.34 41.34 41.34 41.34 3% -$503.65 14.64 14.64 14.64 14.64 14.64 14.64 10% -$21.37 14.64 14.64 14.64 14.64 14.64 14.64 10% -$21.37 28.76 28.76 28.76 28.76 28.76 28.76 3% -$360.33 28.76 28.76 28.76 28.76 28.76 28.76 3% -$360.33

7.85 7.85 7.85 7.85 7.85 7.85 16% $14.49 7.85 7.85 7.85 7.85 7.85 7.85 16% $14.49

15.43 15.43 15.43 15.43 15.43 15.43 2% -$219.08 15.43 15.43 15.43 15.43 15.43 15.43 2% -$219.08

Mono Hidroelectricas - 2012 i - Davila Soria Osmar

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Transcript of Mono Hidroelectricas - 2012 i - Davila Soria Osmar