Download - Mono Hidroelectricas 2012
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.
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
Derecha 10.853 150.000 13.024 0.000 0.4406 Izquierda 10.853 150.000 13.024 0.000 0.4407
Con PresaDerecha 21.326 150.000 25.591 65.277 0.000
8 Izquierda 21.326 150.000 25.591 65.277 0.0009
3 (C)Sin Presa
Derecha 10.073 250.000 20.146 0.000 0.44010 Izquierda 10.073 250.000 20.146 0.000 0.44011
Con PresaDerecha 19.794 250.000 39.588 60.587 0.000
12 Izquierda 19.794 250.000 39.588 60.587 0.00013
4 (D)Sin Presa
Derecha 8.545 1000.000 68.360 0.000 0.44014 Izquierda 8.545 1000.000 68.360 0.000 0.44015
Con PresaDerecha 16.791 1000.000 134.328 51.396 0.000
16 Izquierda 16.791 1000.000 134.328 51.396 0.00017
5 (E.)Sin Presa
Derecha 8.545 1150.000 78.614 0.000 0.44018 Izquierda 8.545 1150.000 78.614 0.000 0.44019
Con PresaDerecha 16.791 1150.000 154.477 51.396 0.000
20 Izquierda 16.791 1150.000 154.477 51.396 0.00021
6 (F)Sin Presa
Derecha 8.545 800.000 54.688 0.000 0.44022 Izquierda 8.545 800.000 54.688 0.000 0.44023
Con PresaDerecha 16.791 800.000 107.462 60.587 0.000
24 Izquierda 16.791 800.000 107.462 60.587 0.00025
7 (G)Sin Presa
Derecha 9.169 400.000 29.341 0.000 0.44026 Izquierda 9.169 400.000 29.341 0.000 0.44027
Con PresaDerecha 18.017 400.000 57.654 55.148 0.000
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
PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)1 3600 8.5452 3600 8.5453 3450 8.545
TRAZO B (CAUDAL 34.8 %)PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)
1 2550 21.3262 2550 21.3263 2400 21.326
PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)1 2550 10.8532 2550 10.8533 2400 10.853
TRAZO C (CAUDAL 32.3%)PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)
1 2800 19.7942 2800 19.7943 2550 19.794
PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)1 2800 10.0732 2800 10.0733 2550 10.073
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
PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)1 3600 8.5452 3600 8.5453 2600 8.545
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%)
PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)1 3600 16.7912 3600 16.7913 2450 16.791
PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)1 3600 8.5452 3600 8.5453 2450 8.545
TRAZO F (CAUDAL 32.3%)PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)
1 3600 16.7912 3600 16.7913 2800 16.791
PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)1 3600 8.5452 3600 8.5453 2800 8.545
TRAZO G (CAUDAL 29.4%)PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)
1 3200 18.0172 3200 18.0173 2800 18.017
PUNTO ALTURA (m) CAUDAL DISEÑO (m^3/s)1 3600 9.1692 3600 9.1693 2800 9.169
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
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
Derecha 0.006 Izquierda 0.007
Con PresaDerecha 65.28
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
Con PresaDerecha 51.40
20 Izquierda 51.40 Vol Acumulado (Mll m3)21
FSin Presa
Derecha 0.00 Costo de Presa (Mll $)22 Izquierda 0.0023
Con PresaDerecha 60.59 Trazo B:
24 Izquierda 60.5925
GSin Presa
Derecha 0.0026 Izquierda 0.0027
Con PresaDerecha 55.15 Enero 6.01
28 Izquierda 55.15 Febrero 17.67Marzo 18.43
CONSIDERACION Abril 6.64Costo de Presa 0.5 Millones$/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)
Vol Acumulado (Mll m3)Costo de Presa (Mll $)
Trazo D:
Enero 4.73Febrero 13.91Marzo 14.51Abril 5.22Diciembre 0.00
Vol Acumulado (Mll m3)Costo de Presa (Mll $)
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:
16.09 Enero 5.58 14.9447.32 Febrero 16.40 43.9249.37 Marzo 17.11 45.8217.77 Abril 6.16 16.50
130.55 Vol Acumulado (Mll m3) 121.1765.28 Millones dolares Costo de Presa (Mll $) 60.59 Millones dolares
Trazo G:
14.94 Enero 5.08 13.6043.92 Febrero 14.93 39.9845.82 Marzo 15.57 41.7116.50 Abril 5.61 15.01
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
(m3/seg)Volrepresado
(Mll m3)
Volrepresado
(Mll m3)Qrepresado
(m3/seg)Volrepresado
(Mll m3)
121.17 Vol Acumulado (Mll m3) 110.3060.59 Millones dolares Costo de Presa (Mll $) 55.15 Millones dolares
12.6737.2638.8713.99
0.00
102.7951.40 Millones dolares
Volrepresado
(Mll m3)
TOMA DE CAPTACION
8.545 - 10.853N° des 4Mov tierra 40Concreto 180Compuertas 15 USD/KgDensid acer 7850 Kg/m3
Opción Trazo Op Margen Toma
1
ASin Presa
Derecha 0.442 Izquierda 0.44 Costo de la compuerta de regulacion3
Con PresaDerecha 0.00
4 Izquierda 0.00 Ancho de la compuerta5
BSin Presa
Derecha 0.44 Altura de la compuerta6 Izquierda 0.44 Espesor de la compuerta7
Con PresaDerecha 0.00 Volumen de la compuerta
8 Izquierda 0.00 Costo de la compuerta9
CSin Presa
Derecha 0.4410 Izquierda 0.44 Costo de la compuerta de purga11
Con PresaDerecha 0.00
12 Izquierda 0.00 Ancho de la compuerta13
DSin Presa
Derecha 0.44 Altura de la compuerta14 Izquierda 0.44 Espesor de la compuerta15
Con PresaDerecha 0.00 Volumen de la compuerta
16 Izquierda 0.00 Costo de la compuerta17
ESin Presa
Derecha 0.4418 Izquierda 0.44 Costo de la compuerta de la presa19
Con PresaDerecha 0.00
20 Izquierda 0.00 Ancho de la compuerta21
FSin Presa
Derecha 0.44 Altura de la compuerta22 Izquierda 0.44 Espesor de la compuerta23
Con PresaDerecha 0.00 Volumen de la compuerta
24 Izquierda 0.00 Costo de la compuerta25
GSin Presa
Derecha 0.4426 Izquierda 0.44 Costo del muro27
Con PresaDerecha 0.00
28 Izquierda 0.00 Ancho del muroAltura del muroEspesor del muroVolumen del muroCosto del muro
Qd m3/seg
USD/m3
USD/m3
TOMA
Costo de la compuerta de regulacion
b= 4 mh= 6 m
(2") e= 0.0508 mb*h*e 1.2192 m3
143560.80 ($)
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 ($)
DESARENADORES
N°des 4 (TURBINA PELTON)Ø 0.3 mmVmax 0.5 m/segµ 0.0001 kgxseg/m2Ȣarena 2.6 gr/cm3Ȣagua 1 gr/cm3Mov tierra 40 USD/m3Concreto 180 USD/m3
Compuertas 15,000 USD/TonCompuertas 2 Ton/unidDensid acer 7.85 Ton/m3
U (m/s) Velocidad de decantacionU 0.08
Asumot 4e(2") 0.0508
TURBINA PELTON, gran caida
Opción Trazo Op Margen
1
ASin Presa
Derecha 0.1252 Izquierda 0.1253
Con PresaDerecha 0.000 Tramo
4 Izquierda 0.000 Caudal en cada desarenador (m3/s)5
BSin Presa
Derecha 0.146 Area del Desarenador (m2)6 Izquierda 0.146 Ancho de Desarenador (b) (m)7
Con PresaDerecha 0.000 Longitud de Desarenador (L) (m)
8 Izquierda 0.000 Costo de Movimiento de tierra ($)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
Derecha 0.12514 Izquierda 0.12515
Con PresaDerecha 0.000
16 Izquierda 0.00017
ESin Presa
Derecha 0.12518 Izquierda 0.12519
Con PresaDerecha 0.000
Desarenadores
f2
18mU (garena
- gagua)=
=V x h
ULongitud
20
ECon Presa
Izquierda 0.00021
FSin Presa
Derecha 0.12522 Izquierda 0.12523
Con PresaDerecha 0.000
24 Izquierda 0.00025
GSin Presa
Derecha 0.13126 Izquierda 0.13127
Con PresaDerecha 0.000
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 ($) 124,730.71 146,400.99 139,077.41 124,730.71 124,730.71 124,730.71 130,589.57
TUNEL A PELO LIBREOpción Trazo Op Margen
1
ASin Presa
Derecha 9.122 0.000 Ecuación de Manning:2 Izquierda 9.730 0.0003
Con PresaDerecha 0.000 88.727
4 Izquierda 0.000 89.6365
BSin Presa
Derecha 7.258 0.0006 Izquierda 7.258 0.0007
Con PresaDerecha 0.000 103.330
8 Izquierda 0.000 103.3309
CSin Presa
Derecha 6.181 0.00010 Izquierda 7.555 0.00011
Con PresaDerecha 0.000 132.685
12 Izquierda 0.000 134.494 C : cte.de rugosidad
13
DSin Presa
Derecha 36.487 0.000 R : radio hidráulico14 Izquierda 30.405 0.000 m: pendiente15
Con PresaDerecha 0.000 322.865 h : Altura del canal de conducción
16 Izquierda 0.000 317.581 b : Ancho del canal de conducción17
ESin Presa
Derecha 54.730 0.000 L: Longitud del canal de conduccion18 Izquierda 48.649 0.00019
Con PresaDerecha 0.000 367.423 Trazo
20 Izquierda 0.000 362.34621
FSin Presa
Derecha 34.054 0.000A
22 Izquierda 34.054 0.00023
Con PresaDerecha 0.000 279.802
B24 Izquierda 0.000 279.80225
GSin Presa
Derecha 13.453 0.000C
26 Izquierda 13.453 0.00027
Con PresaDerecha 0.000 176.055
D28 Izquierda 0.000 176.055
E
F
G
TUNEL A PRESION (GALERIA)
Tunel a pelo libre
Tunel a presión
V=Q/A=0.823/C∙R^(2/3)∙m^(1/2)V=Q/A=0.823/C∙R^(2/3)∙m^(1/2)
R=A/Perimetro mojado =(b⋅h)/(b+2⋅h)R=A/Perimetro mojado =(b⋅h)/(b+2⋅h)
ffP x D
Concreto (e = ----------)2
P x DConcreto (e = ----------)
2
TúnelTúnel
TUNEL A PELO LIBRE
Ecuación de Manning:
CONSIDERACIONES
C : cte.de rugosidad C = 0.0120 para el concreto
R : radio hidráulico m = 0.0020 pendientem: pendiente b=2h economicoh : Altura del canal de conducciónb : Ancho del canal de conducciónL: Longitud del canal de conduccion
Margen h(m) b(m) L(m) BuenaVol Reves(m^3) Costo Excav($)
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
Derecha 0.6022 Izquierda 0.6023
Con PresaDerecha 0.000
4 Izquierda 0.0005
BSin Presa
Derecha 0.7476 Izquierda 0.7477
Con PresaDerecha 0.000
8 Izquierda 0.0009
CSin Presa
Derecha 0.99310 Izquierda 0.99311
Con PresaDerecha 0.000
12 Izquierda 0.00013
DSin Presa
Derecha 10.08014 Izquierda 5.09615
Con PresaDerecha 0.000
16 Izquierda 0.00017
ESin Presa
Derecha 7.37318 Izquierda 7.37319
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 $/kg
12000 kg/cm20.0125% %H7850 kg/m39.81 m/s20.65
47 USD/Mwh8760 h/año
8.135CONSIDERACIONES
Tuberia superiorTuberia inferior Ht=H+ΔH
Pendiente (grados) 80Hs (m) 30
Op Margen Long (m) H (m) Hs (m)TUBERIA SUPERIOR
Ds (m) esp (mm)
Sin PresaDerecha 152.31 8.55 150.00 30.00 1.625 2.74Izquierda 152.31 8.55 150.00 30.00 1.625 2.74
Con PresaDerecha 152.31 16.79 150.00 30.00 2.171 3.66Izquierda 152.31 16.79 150.00 30.00 2.171 3.66
Sin PresaDerecha 152.31 10.85 150.00 30.00 1.801 3.04Izquierda 152.31 10.85 150.00 30.00 1.801 3.04
Con PresaDerecha 152.31 21.33 150.00 30.00 2.405 4.06Izquierda 152.31 21.33 150.00 30.00 2.405 4.06
Sin PresaDerecha 253.86 10.07 250.00 30.00 1.667 3.86Izquierda 253.86 10.07 250.00 30.00 1.667 3.86
Con PresaDerecha 253.86 19.79 250.00 30.00 2.227 5.15Izquierda 253.86 19.79 250.00 30.00 2.227 5.15
Sin PresaDerecha 1,015.43 8.55 1,000.00 30.00 1.326 9.28Izquierda 1,015.43 8.55 1,000.00 30.00 1.326 9.28
Con PresaDerecha 1,015.43 16.79 1,000.00 30.00 1.772 12.40Izquierda 1,015.43 16.79 1,000.00 30.00 1.772 12.40
Sin PresaDerecha 1,167.74 8.55 1,150.00 30.00 1.303 10.34Izquierda 1,167.74 8.55 1,150.00 30.00 1.303 10.34
Con PresaDerecha 1,167.74 16.79 1,150.00 30.00 1.740 13.81Izquierda 1,167.74 16.79 1,150.00 30.00 1.740 13.81
Sin PresaDerecha 812.34 8.55 800.00 30.00 1.364 7.84Izquierda 812.34 8.55 800.00 30.00 1.364 7.84
Con PresaDerecha 812.34 16.79 800.00 30.00 1.822 10.48Izquierda 812.34 16.79 800.00 30.00 1.822 10.48
Sin PresaDerecha 406.17 9.17 400.00 30.00 1.525 4.96Izquierda 406.17 9.17 400.00 30.00 1.525 4.96
Con PresaDerecha 406.17 18.02 400.00 30.00 2.038 6.62Izquierda 406.17 18.02 400.00 30.00 2.038 6.62
Ht=Hs+ΔH
QD(m3/s)
P
P x D e = -----------
2 x B
TUBERIA SUPERIOR TUBERIA INFERIOR Costo tuberiav (m/s) Di (m) ei (mm) v (m/s) ($)
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
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
Con PresaDerecha 1.261
A Con Presa4 Izquierda 1.1795
BSin Presa
Derecha 0.000B Con Presa
6 Izquierda 0.0007
Con PresaDerecha 1.637
C Con Presa8 Izquierda 1.6379
CSin Presa
Derecha 0.000D Con Presa
10 Izquierda 0.00011
Con PresaDerecha 1.342
E Con Presa12 Izquierda 1.39113
DSin Presa
Derecha 0.000F Con Presa
14 Izquierda 0.00015
Con PresaDerecha 1.715
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
Con PresaDerecha 1.709
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
Altura chimeneaCosto del concreto
Costo de perforacionCosto total chimenea
TRAZO "B" DERECHA CON PRESA
0.01962
0.93118
0.50000
Gráfico
Altura chimeneaCosto del concreto
Costo de perforacionCosto total chimenea
TRAZO "B" IZQUIERDA CON PRESA
0.01962
0.93118
0.50000
Gráfico
Altura chimeneaCosto del concreto
Costo de perforacionCosto total chimenea
TRAZO "C" DERECHA CON PRESA
0.02180
0.93078
0.50000
Gráfico
Altura chimeneaCosto del concreto
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
Costo de perforacionCosto total chimenea
TRAZO "C" IZQUIERDA CON PRESA
0.01784
1.13761
0.50000
Gráfico
Altura chimeneaCosto del concreto
Costo de perforacionCosto total chimenea
TRAZO "D" DERECHA CON PRESA
0.00327
8.11683
0.50000
Gráfico
Altura chimeneaCosto del concreto
Costo de perforacionCosto total chimenea
TRAZO "D" IZQUIERDA CON PRESA
0.00392
6.76403
0.50000
Gráfico
Altura chimeneaCosto del concreto
Costo de perforacionCosto total chimenea
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
Altura chimeneaCosto del concreto
Costo de perforacionCosto total chimenea
TRAZO "E" IZQUIERDA CON PRESA
0.00245
11.04069
0.50000
Gráfico
Altura chimeneaCosto del concreto
Costo de perforacionCosto total chimenea
TRAZO "F" DERECHA CON PRESA
0.00350
7.33802
0.50000
Gráfico
Altura chimeneaCosto del concreto
Costo de perforacionCosto total chimenea
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
Altura chimeneaCosto del concreto
Costo de perforacionCosto total chimenea
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
Altura chimeneaCosto del concreto
Costo de perforacionCosto total chimenea
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
Opción Trazo Op Margen
1
ASin Presa
Derecha 3.632 Izquierda 3.793
Con PresaDerecha 37.24
4 Izquierda 37.455
BSin Presa
Derecha 3.456 Izquierda 3.457
Con PresaDerecha 44.89
8 Izquierda 44.899
CSin Presa
Derecha 4.8610 Izquierda 5.2011
Con PresaDerecha 53.86
12 Izquierda 54.3313
DSin Presa
Derecha 39.2014 Izquierda 36.4315
Con PresaDerecha 143.97
16 Izquierda 142.6417
ESin Presa
Derecha 48.6818 Izquierda 47.1619
Con PresaDerecha 169.27
20 Izquierda 168.0021
FSin Presa
Derecha 28.0922 Izquierda 28.0923
Con PresaDerecha 118.86
24 Izquierda 118.8625
GSin Presa
Derecha 9.8826 Izquierda 9.8827
Con PresaDerecha 68.92
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
Derecha -17.25 3.49 3.49 3.496 Izquierda -17.25 3.49 3.49 3.497
Con PresaDerecha -224.43 6.85 6.85 6.85
8 Izquierda -224.43 6.85 6.85 6.859
CSin Presa
Derecha -24.28 5.39 5.39 5.3910 Izquierda -26.00 5.39 5.39 5.3911
Con PresaDerecha -269.31 10.59 10.59 10.59
12 Izquierda -271.63 10.59 10.59 10.5913
DSin Presa
Derecha -195.99 18.29 18.29 18.2914 Izquierda -182.16 18.29 18.29 18.2915
Con PresaDerecha -719.83 35.95 35.95 35.95
16 Izquierda -713.19 35.95 35.95 35.9517
ESin Presa
Derecha -243.41 21.04 21.04 21.0418 Izquierda -235.80 21.04 21.04 21.0419
Con PresaDerecha -846.34 41.34 41.34 41.34
20 Izquierda -839.98 41.34 41.34 41.3421
FSin Presa
Derecha -140.44 14.64 14.64 14.6422 Izquierda -140.44 14.64 14.64 14.6423
Con PresaDerecha -594.30 28.76 28.76 28.76
24 Izquierda -594.30 28.76 28.76 28.7625
GSin Presa
Derecha -49.39 7.85 7.85 7.8526 Izquierda -49.39 7.85 7.85 7.8527
Con PresaDerecha -344.60 15.43 15.43 15.43
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
Año 12 Año 13 Año 14 Año 15 Año 16 Año 17 Año 18 Año 19MWH/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
Año 20 Año 21 Año 22 Año 23 Año 24 Año 25 Año 26 Año 27MWH/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
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