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Diagnóstico energético del sistema de calentamiento de agua en la piscina del Complejo = de Natación Carlos Costales de la ciudad de Riobamba. Propuesta de alternativas de solución

=

 

Energy diagnosis of the water heating system in the swimming pool of the Carlos Cost= ales Swimming Complex in the city of Riobamba. <= i>Proposal= of alternative solutions

 

Ligia Elena Moreno Pinduisaca= [1] Juan Carlos Palacios Almache[2] Luis Fernando Buenaño Moyano[3] Olga Beatriz Barrera Cárdenas[4]

 

Recibido: 13-03-2019 / Revisado: 25-0= 4-2019 /Aceptado: 24-05-2019/ Publicado: 05-06-2019

 

Abstract                     =                        DOI: https://doi.org/10.33262/cienciadi= gital.v3i2.6.572

In the swimming pool of the "Carlos Costales&= quot; swimming complex, an energy diagnosis of the water heating system using a diesel boiler for its operation is needed. The heat losses calculated are 84.573 KW on average, the heat delivered by the boiler to heat the pool wat= er from 06H00 to 10H30 is 103.700 KW and from 10H30 to 19H00 is 94.016 KW, performance of the boiler 58.9% and 53.4% respectively, a year with this sy= stem produced 131 206 tons of CO2. The average fuel consumption is 3.2 gals / h, which represents an expense for the State of $ 21,027.79 per year. To meet = the needs of bathers with a temperature of 28 °C ideal for training children fr= om 6 years old, the use of a hybrid system               with four hours of operatio= n of the boiler and 93 solar panels type HC - 50, an annual fuel savings of $ 14,797.77 is generated and the calculated IRR for this option is 19.4%, whi= ch is why it is considered a feasible project, emission of polluting gases from 131.20 to 38.87 tons of CO2, which represent approximately 70% less environmental pollution.

Key Words: Diagnosis, Hybrid, Fuel, Solar, Energy.

 

Resumen

En la Piscina del complejo “Carlos Costales” se realizó un diagnóstico energético del sistema= de calentamiento de agua que utiliza una caldera a diesel= . Las pérdidas de calor calculadas son de 84,573 kW en promedio, para calenta= r el agua de la piscina de 6H00 a 10H30 la caldera entrega 103,700 kW y de 10H30= a 19H00 94,016 kW, con un rendimiento de la caldera de 58,9 % y 53,4% respectivamente, al año con este sistema se producen 131 206 toneladas de C= O2. El consumo promedio de combustible es de 3,2 gal/h lo que representa un gas= to para el Estado de $ 21.027,79 al año. Para satisfacer las necesidades de los bañistas con una temperatura de 28 ºC ideal par= a el entrenamiento de niños desde los 6 años de edad se plantea un sistema híbri= do con cuatro horas de funcionamiento de la caldera y 93 paneles solares tipo = HC – 50, anualmente se generará un ahorro en el gasto de combustible de $14.797,= 77 y el TIR calculado para esta opción es de 19,4 % que se considera un proyecto factible, se reducirá al año la emisión de 131,20 a 38,87 toneladas de CO2 = que representa el 70 % menos de contaminación ambiental.

Palabras Clave: Diagnóstico, Híbrido, Combustible, Sol= ares, Energético.

 

Introducción

En la actualidad la energía en forma de calor es un recurso ampliamente utiliz= ado, sin embargo la utilización de energías renovable= s y limpias en varios lugares es bastante limitado lo que representa un alto consumo de combustibles fósiles y por lo tanto un importante costo medioambiental.

El uso ineficiente de la energía es un problema a nivel mundial porque utiliza cantidades excesivas de los escasos recursos no renovables, al incrementar = la eficiencia de la energía, se reduce el uso de recursos de energía, por lo q= ue de este modo se  retarda su agotamiento, se disminuye los impactos negativos s= obre el medio ambiente y la salud. En el continente American= o varios países como Cuba, Nicaragua, Chile, Perú y Brasil han apostado por generar estrategias que les permita utilizar energías limpias y dejar la dependencia de los hidrocarburos y proyectos carboníferos, ya que el actual modelo energético es insostenible, lo que conlleva necesariamente a pensar = en un futuro energético combinado racionalmente para hogares, piscinas, hospitales, hoteles y procesos industriales, (Linkohr<= /span>, 2006).

En el Ecuador se ha optado por una política que incurre en la utilización de f= uentes de energía limpia y renovable de tal forma que se minimice la contaminación  ambien= tal y se fomente el desarrollo y la implementación de equipos que utilicen ener= gía producida dentro del país como la eléctrica.

Calentar el agua de una piscina significa un uso de energía muy alto por lo que una producción más limpia en este proceso significa una de las aplicaciones más lógicas, aunque en cuestión de números representa una inversión inicial may= or comparada con los sistemas instalados convencionalmente como es el calentamiento con derivados de petróleo. En la ciudad de Riobamba actualmen= te se utiliza los sistemas convencionales de energía en el calentamiento de ag= ua de las piscinas  existentes, en donde no se ejerce un control adecuado de la contaminación producida por la utilización de hidrocarburos.

La piscina del Complejo de Natación “Carlos Costales”, es semiolímpica, el agu= a se calienta a través de un calentador a diésel, la falta de ingresos económico= s y el alto costo de mantenimiento hicieron que el complejo cierre las instalaciones por algún tiempo, actualmente la piscina se encuentra en funcionamiento de martes a domingo en un horario ininterrumpido desde las 0= 7H00 hasta las 20H00, es utilizada para la formación de niños, jóvenes y adultos= de la provincia, en lo que conlleva a la disciplina deportiva de natación y su administración está a cargo de la Federación Deportiva de Chimborazo.<= /o:p>

A través de una inspección se identificó que la temperatura alcanzada no es  la adecuad= a ya que no se tiene un abastecimiento oportuno de combustible, esto provoca que en algunas ocasiones no se pueda calentar el agua de la piscina por varios día= s lo que genera malestar en los usuarios. Si no se corrige el problema del siste= ma de calentamiento de agua se corre el riesgo de reducir el número de usuarios afectando así los ingresos económicos y el desarrollo deportivo de la provi= ncia en la disciplina de natación, además de una eminente contaminación ambienta= l.

Una posible solución para alcanzar la temperatura adecuada del agua de la pisci= na es la utilización  de un sistema de calentamiento combinado, ya sea con la utilización de energía eléctrica o paneles solares, lo que reducirá el uso de hidrocarburos y la contaminación  ambiental producida = al calentar agua.

Importancia del Probl= ema

El aporte de este estudio permitirá obtener un menor costo y mayor eficiencia = en la operación de la piscina, favoreciendo de esta manera a la Federación Deportiva de Chimborazo  que está a= cargo de la misma, como a los usuarios que en su gran  mayoría son deportistas  los mismos que se forman para distintas competencias nacionales, para estos se cuenta con el apoyo de la FDCH que está de acuerdo con el desarrollo investigativo y prestará todas las facilidades para que se pueda tomar dato= s y mediciones, los cuales permitan conocer la realidad del funcionamiento de la piscina, con el fin de establecer los correctivos necesarios y además en un futuro de acuerdo a los resultados económicos pensar en la implementación d= e un sistema de calentamiento de agua combinado y de alta eficiencia.=

Metodología

El estudio para este proyecto se basa en seleccionar una alternativa que pueda reemplazar o ayudar a la caldera que está instalada para lograr suministrar energía al agua de la piscina y que tenga una temperatura óptima, estos parámetros pueden ser determinados a través de una investigación de campo y mediante el uso de variables cuantificables que permitan desarrollar un planteamiento matemático para demostrar las suposiciones planteadas.

Para el desarrollo del módulo descriptivo y la elaboración de los cálculos es adecuado llegar una investigación bibliográfica, que permita insertar referencias, tomar ecuaciones, datos, técnicas  y  métodos que faciliten dichos cálculos.

= ·&nb= sp;        Tipo de investigación=

Se realizará una investigación  descriptiva donde se buscará  especificar los parámetros necesarios para lograr la  eficiencia energética en el complejo, se establecerá diversos aspectos como dimensiones o componentes del sistema de calentamiento actual,  se estudiará= e interpretará sistemas de calentamiento que funcionen con energías alternati= vas.

Otro tipo de investigación que se realizará es de tipo explicativo se dará a con= ocer la temperatura óptima, la cantidad de combustible que se utilizará en el caldero si se instala un sistema secundario de apoyo teniendo en cuenta los beneficios que se puede brindar a la población y minimizando la contaminaci= ón ambiental.

= ·&nb= sp;        Técnicas e instrumentación de la investigación

Las técnicas e instrumentos que se utilizarán para determinar las característic= as específicas de cada variable de acuerdo a los objetivos específicos plantea= dos son determinadas en la tabla 1.

Tabla 1: Técnicas e instrumentos de la investigación

= Objetivos específicos

= Métodos y Técnicas de investigación

= Desa= rrollar una auditoria energética preliminar.

= - Observación – registro

= - Me= dición

= Dete= rminar la cantidad de calor necesario para alcanzar la temperatura adecuada del = agua en la piscina.

- Me= dición

- Cá= lculos – ecuaciones

= Plan= tear un sistema de calentamiento de agua eficiente y que utilice energías alternativas.

- Re= visión bibliográfica

- Cá= lculos – ecuaciones

Realizar un estudio de impactos de la propuesta.

= Cálc= ulos – ecuaciones

 

Fuente: Autor, Ecuado= r, 2018

En la tabla 2 = se detalla la variable física que se va a medir, qué instrumento se utilizará = para su medición, el parámetro medido y para qué cálculo se utilizarán.

 <= /p>

Tabla 2: Variable fí= sica

Variable física

Instrumento de medida

Parámetro medido

Tipo de cálculo

Longitud

Flexómetro=

Longitud de la piscina<= /o:p>

Volumen

Temperaturas

Termómetro digital

- Ag= ua de la piscina

- Agua de la red<= /span>

- Agua de reposición

Pérdidas de calor=

Eficiencia de la caldera.

Temperatura

Termo higrómetro<= /span>

Temperatura del aire

Pérdidas de calor=

Temperatura

Pirómetro<= /p>

Temperatura de las paredes d= e la piscina

Pérdidas de calor=

Humedad relativa<= /span>

Termo higrómetro<= /span>

Humedad del aire<= /span>

Pérdidas de calor=

Fuente: Autor, Ecuado= r, 2018.

Resultados y Discusión

Funcionamiento= del sistema de calentamiento de agua

Las etapas que forman parte d= el proceso de calentamiento de agua son:

Succión del agua de la piscina

El proceso de calentamiento del agua empieza en la succión por medio = de seis skimmers  que se encue= ntran ubicados en la piscina tres en cada lado a lo largo de la misma, para posteriormente por medio de gravedad y con la ayuda de un sistema de tuberí= as de diámetro de 3 pulgadas llegar hasta la sala de máquinas, donde se inicia= el proceso de calentamiento y recirculación del agua.

Proceso de calentamiento de agua

Una vez que por medio de la tubería de succión el agua llega a la sala de máqui= nas, esta se encuentra con un juego de válvulas donde mediante la apertura o cie= rre se elige hacia cual bomba hidráulica se destinará el flujo.

El sistema de recirculación del agua cuenta con dos bombas que funcionan alternadamente según el plan de operación del sistema, la cual proporciona energía al fluido para que este circule a través del sistema de calentamien= to de agua y posteriormente sea descargada nuevamente a la piscina.=

De las dos bombas existentes en el sistema siempre está en funcionamiento solo una, ya que es suficiente para proveer de la energía necesaria al fluido que circula por el sistema de tuberías. El agua succionada después de pasar por= la bomba ingresa a los filtros los cuales se encargan de eliminar las impureza= s o residuos que puedan existir en el sistema, para que no afecten el funcionamiento de la caldera.

Descarga del agua hacia la piscina

Cuando el fluido gana temperatura al momento de circular por la caldera es inyecta= da nuevamente a la piscina por medio del sistema de tuberías de descarga y 14 impulsores situados uniformemente en todo el contorno de la piscina.

En la figura 1 se representa gráficamente el sistema de calentamiento de agua = de la piscina "Carlos Costales".

Figura 1: Sistema de calentamiento de a= gua de la piscina "Carlos Costales"<= /span>

Fuente: Autor, Ecuador, 2018

Toma= de datos y registro

Utilizando el termómetro digital con sonda intercambiable PT 100 se midió la temperatu= ra del agua de la piscina antes de encender la caldera y cuando está encendida, así como del agua de reposición y se muestra en la tabla 3:

Tabla 3: Temperaturas promedio de agua

= DAT= OS PROMEDIO DE TEMPERATURA

= °C<= o:p>

Tem= peratura de agua de reposición

&nb= sp;

16,= 0

Tem= peratura del agua de la piscina a las 6H00

24,= 4

Tem= peratura de agua de la piscina

26,= 65

Fuente: Autor, Ecuado= r, 2018

Según los datos registrados en la tabla 3 se concluye que la temperatura del agua= que alcanza la piscina está dentro del rango de temperaturas adecuadas para entrenamiento de natación que según (Ciatesa, 2005) es de 26 °C, sin embargo hay que considerar que a la piscina asisten niños y la temperatura del agua de una piscina infantil es de 30 °C.

Pérd= idas de calor en la piscina

Los datos obtenidos en las instalaciones de la piscina son los que se muestran = en la tabla 4:

Tabla 4: Datos utilizados en el cálculo de las pérdidas de calor<= /span>

Tem= peratura del agua

26,= 65 °C

Tem= peratura ambiente                            

22,= 15 °C

Hum= edad

86,= 95%

Núm= ero de ocupantes de la piscina        

28<= o:p>

Núm= ero de espectadores                         

6

Sup= erficie de la piscina                           

Vol= umen de la piscina                           =   

Fuente: Autor, Ecuado= r, 2018

Las dimensiones corresponden a una piscina semiolímpica cuya profundidad varía,= la humedad relativa está por encima del valor permitido, de acuerdo a (cosasdepiscina.wordpress.com, 2014) indica que la humedad relativa del aire de las piscinas cubiertas no excederá del 65% para proteger los cerramientos de la formación de condensaciones, sin embargo se acepta como límite el 80% y con respecto a la temperatura del aire estará entre 2ºC y 4ºC por encima = que la del agua, esto no ocurre en el presente caso de estudio.<= /span>

Resumen de pérdidas de calor (QR) en la piscina

En la tabla 5 se presenta un resumen de las pérdidas de calor en la piscina en operación y en reposo:

Tabla 5: Resumen de pérdidas de calor en la piscina

PÉRDIDAS DE CALOR EN LA PISCINA

EN OPERACIÓN (W)

EN REPOSO (W)

P. EVAPORACION

39 024,79

39,024

22 123,63

22,124

P. RADIACION

12 149,35

12,149

12 149,35

12,149

P. CONVECCION

1 362,20

13,622

1 362,20

1,362

P. RENOVACION

28 896,13

28,896

0

0

P. CONDUCCION

3 141,31

3,141

3 141,31

3,141

TOTAL

84 573,78

84,573

38 776,49

38,776

Fuente: Autor, Ecuado= r, 2018

Las pérdidas de calor se calcularon cuando el sistema estaba en funcionamiento durante 13 horas y también cuando el sistema se encontraba en reposo tomando en cuenta que dur= ante este tiempo no hay nadadores por lo que las pérdidas por evaporación dismin= uyen y las pérdidas por renovación desaparecen porque no hay reposición de agua.=

La tabla 6 registra las pérdidas de calor en la piscina en diferentes condiciones de funcionamiento y a diferentes horas, lo que significa que varía también el número de ocupantes de la piscina por en= de las pérdidas de calor en operación cambian de valor.

Tabla 6: Resumen de pérdidas de calor en la piscina en diferentes condiciones de funcionamiento= <= /span>

T. = agua piscina

26,= 00°C

26,= 65 °C

26,= 44 °C

Hor= a

9H0= 0

11H= 00

15H= 00

# nadadores

20<= o:p>

28<= o:p>

37<= o:p>

# espectadores

4

6

6

P. Evaporación

34 182,49

39 024,79

44 319,91

P. = Radiación

11 353,54

12 149,35

12 149,35

P. Convección

1 179,18

1 362,20

1 362,20

P. Renovación

27 678,28

28 896,12

28 896,12

P. Conducción

2 819,12

3 141,31

3 141,31

TOTAL (W)=

77 212,61=

84 573,77=

89 868,89=

Fuente: Autor, Ecuado= r, 2018

En la figura 1 se observa la variación del número de ocupantes de la piscina e= n el eje horizontal, mientras este número aumenta las pérdidas de calor en opera= ción también lo hacen de acuerdo al eje vertical, esto se debe a que las pérdida= s de calor por evaporación dependen específicamente del número de ocupantes de la piscina.

Figura 1: Análisis de= las pérdidas de calor para diferentes condiciones de funcionamiento<= /span>

Fuente: Autor, Ecuado= r, 2018

Cálc= ulo del calor necesario para calentar el agua de la piscina

Se tomó en cuenta dos periodos de operación de la caldera el uno está considerado desde las  6H00, en el que, la temperatura del agu= a de la piscina inicia a 24,4=  hasta las 10h30, en donde la temperatura del agua alcanza 26,65 °C= , y el segundo periodo se calcula para las horas restantes de operación a partir de las 10H30 tiempo en el cual es prendida = la bomba para que recircule el agua de la piscina hasta las 19H00 y se requiere solamente mantener la temperatura del agua, tabla 7:

Tabla 7: Calor neces= ario del agua de la piscina

Periodo 1 (W)

Periodo 2 (W)

D=

79 °C

26,65 °C

103 699,656 W

94 016,366 W

Fuente: Autor, Ecuado= r, 2018

Se concluye que el calor entregado por la caldera para calentar el agua de la piscina en el periodo = 1 es de 103,700 kW y para el periodo dos es de 94,016 kW, estos valores sirven p= ara calcular el rendimiento de la caldera.

Calor entregado por el quemador a la caldera

Para determinar el calor entregado por el quema= dor se consideraron las especificaciones técnicas del equipo que se detallan a continuación en la tabla 8:

Tabla 8: Calor entreg= ado por el quemador

Esp= ecificaciones del quemador

83<= o:p>

kW<= o:p>

Pot= encia mínima

176=

kW<= o:p>

Pot= encia máxima

7

kg/= h

Flu= jo de combustible mínimo

14,= 8

kg/= h

Flu= jo de combustible máximo

Fuente: Autor, Ecuado= r, 2018

Para calentar el agua de la piscina a la temperatura adecuada en el menor tiempo posible, el quemador está regulado para consumir el máximo del flujo de combustible y tomando en cuenta que el equipo es nuevo se considera q entre= ga el máximo de la potencia al sistema

Rendimiento de la caldera

Se determinó el rendimiento de la caldera para los dos períodos de funcionamie= nto, sus valores se muestran en la tabla 9:

Tabla 9: Rendimiento de la caldera<= /span>

Periodo 1

Periodo 2

P0

103 699,656 W

94 016,366 W

Pg

176 k= W

176 k= W

n

58,9 %

53,4 %

 

 

 

 

Fuente: Autor, Ecuado= r, 2018

Se obtiene dos valores para el rendimiento de la c= aldera, el primer valor de 58,9 % corresponde al periodo 1 y el valor de 53,4% al periodo 2, como se lo muestra en la siguiente figura 2

                                Figura 2: Análisis de la eficiencia de la caldera

Fuente: Autor, Ecuado= r, 2018

En la gráfica 3.2 se observa la variación de la eficiencia de la caldera en relación a los dos periodos mencionados anteriormente, de 6H00 a 10H30 la eficiencia es de 58,92%, en el segundo periodo de 10H30 a 19H00 la eficiencia baja a 53,42 ya que el quemador se prende cada hora durante 30 minutos y se apaga.

Cons= umo del combustible

El consumo de combustible difiere en dos etapas la primera desde las 5H30, hora en la que se enciende el quemador y la tempera= tura del agua en el interior de la piscina es de 24,4 ºC hasta las 10H30, en esta etapa el quemador se encuentra en operación continua  con un flujo de combustib= le máximo de 14,8 kg/h y la segunda etapa a partir de las 10H30 en la que el quemador actúa en una operación intermitente, se prende y se apaga cada hora durante 30 minutos, ya que solo se necesita mantener estable la temperatura= del agua en la piscina como se presenta en la figura 3:

                                Figura 3:<= /span> Consumo de combustible

Fuente: Autor, Ecuado= r, 2018

 La temperatura del agua de la piscina ta= mbién varía durante el tiempo de funcionamiento, la temperatura es de 24,4 ºC, la misma que aumenta de valor a 26,65 ºC en las primeras 5 horas de operación del sistema, = en las siguientes horas la temperatura permanece aproximadamente constante como se observa en la figura 4, esta etapa corresponde al encendido y apagado intermitente del quemador.

Figura 4: Temperatura del agua de la piscina

Fuente: Autor, Ecuado= r, 2018

Análisis del con= sumo de diesel

El consumo de diesel se determina en relación al f= lujo de combustible y su densidad el consumo máximo de combustible según especificaciones del quemador es de 4,6706 gal/h.

El tiempo que el quemador está encendido es de 9,25 horas (periodo 1 + periodo= 2), entonces para calentar el agua de la piscina se utiliza 43,20 galones, para= el consumo promedio de combustible se utiliza las 13,5 horas de funcionamiento= del sistema lo que da como resultado 3,2 gal/h por lo que al mes son necesarios= 1 036,87 galones de diesel.

Costo del combustible utilizado en el funcionamiento del sistema

El costo de operación del sistema se calcula en dos escenarios, el costo de diesel con subsidio del Estado y el costo sin subsidi= o que representa el valor real del costo de operación. El galón de diesel según =  (globalpetrolprices.com, 201= 8) es de 1,03 dól= ares con subsidio y de 1,69 dólares sin subsidio, estos datos se registran en la tabla 10.

 

Tabla 10: Costo del combustible utilizado en el sistema

 

Con= sumo

Cos= to diesel /gal

Cos= to diesel /gal

1,0= 3 $ Subsidio

1,6= 9 $ Sin Subsidio

4,6= 707

gal= /h

4,8= 1

7,8= 9

103= 6,87

 gal/mes

106= 7,98

175= 2,31

124= 42,48

gal= /año

128= 15,75

210= 27,79

 

Fuente: Autor, Ecuado= r, 2018

 

De acuerdo a los precios de diesel en el Ecuador el costo de combustible para calentar el agua de la piscina es de $ 1 067,98 al mes, al año corresponde a $ 12 815,75  siempre y cuando se maneje el su= bsidio del combustible, el costo aumenta si se comprase el di= esel sin subsidio, al mes se tiene un gasto de $1 752,31 aumentando su valor alrededor de 700 dólares, lo que representa al año $ 8 400 más.<= /span>

Efic= iencia de la combustión

La eficiencia de la combustión se determinó con el uso del analizador de gases BACHARACH PCA 3, el cual arrojó en la primera medición una eficiencia de la combustión de 87,6 % y la segunda de 87,2 %, registrados en la tabla 11 con= lo que se concluye que en los dos casos es alta, los porcentajes de gases de la combustión de gasoil en su mayoría están dentro del rango de valores típico= s, según (ONAGAS, 2017) y (TESTO).

Tabla 11: Eficiencia de la combustión

GAS= ES DE LA

TES= TO

ONA= GAS

MED= ICIÓN 1

MED= ICIÓN 2

COM= BUSTIÓN

Oxí= geno (%)

2 -= 8

2 -= 5

0,0= 55

0,0= 55

Mon= óxido de Carbono (ppm)

40 - 150

80 - 150

28<= o:p>

25<= o:p>

Dió= xido de Carbono (%)

11 = - 14

12,= 5 - 14

0,1= 15

0,1= 15

Óxi= do de Nitrógeno (ppm)

20 - 100

50 - 100

16<= o:p>

17<= o:p>

Tem= peratura del gas de descarga de la chimenea (°C)

90 - 150

155=

168=

Tem= peratura de agua  (°C)

&nb= sp;

85<= o:p>

100=

Efi= ciencia de la combustión (%)

&nb= sp;

87,= 60

87,= 20

Fuente: Autor, Ecuado= r, 2018

Los valores altos de eficiencia en la combustión se le atribuyen a que el quema= dor utilizado en la operación es nuevo y se utiliza el máximo flujo de combusti= ble, al estar los valores dentro del rango se concluye que ambientalmente el imp= acto no es considerable, sin embargo al utilizar la c= aldera con un combustible fósil se genera contaminación.

Propuesta de Mejora.

Un objetivo de este proyecto es el de sustituir parcialmente el uso de energías convencionales que queman combustibles fósiles, que causan gran contaminaci= ón ambiental y alto costo de funcionamiento por lo que en la propuesta de mejo= ras se analizará dos opciones que utilizan energías alternativas.

La Energía solar es una fuente de energía renovable que se obtiene al aprovech= ar la irradiación del sol y se la utiliza hoy en día para varias aplicaciones entre ellas sistemas de calentamiento de agua sanitaria, a través del uso de dispositivos llamados colectores solares.

Para el dimensionamiento del sistema de calentamiento solar se toma en cuenta la demanda de energía y el costo de la instalación.

Recurso energético disponible

La ubicación geográfica de Ecuador es un privilegio en lo que se refiere a rec= urso solar, la incidencia del sol es perpendicular lo que permite obtener valores altos de irradiación solar, los datos fueron proporcionados por la estación meteorológica de la ESPOCH los mismos que fueron tomados con un instrumento llamado Piranómetro quien entrega la irrad= iancia global en W/m²  por hora, la figura 5 muestra en promedio las horas en las que la irradiancia es mayor d= esde enero a octubre de 2017.

En la ciudad de Riobamba, la radiación más alta se presenta desde las 9H00 has= ta las 15H00, el valor más alto = de radiación es de 798 W/m² que corresponde a las 12H00, de 0H00 a 5H00 y de 19H00 a 23H00 no hay valor= es registrados para la radiación, desde las 6H00 ya se detectan datos de prese= ncia de sol en la ciudad de Riobamba.

Figura 5: Ciclo diario de radiación en Riobamba

Fuente: Autor, Ecuado= r, 2018

Para determinar el número de colectores solares necesarios para un sistema de calentamiento de agua se calcula la radiación solar diaria, es decir se uti= liza todos los valores obtenidos de radiación por hora y se suman, obteniéndose = un valor al día de radiación, de esto se obtiene los valores promedios para ca= da mes y que se encuentran registrados en la tabla 12:

Tabla 12: Radiación solar en Riobamba<= /span><= /span>

Mes

Radiación  <= /span>

Enero

5 112,48

Febrero

4 815,21

Marzo

4 520,41

Abril

5 236,08

Mayo

4 987,65

Junio

5 260,97

Julio

5 239,81

Agosto

5 546,72

Septiembre

5 632,42

Octubre

5 867,06

Promedio

5 221,881

Fuente: Autor, Ecuado= r, 2018

En general los valores de radiación alcanzados en la ciudad de Riobamba son al= tos lo que nos permite trabajar con sistemas alternativos de calentamiento de a= gua.

Selección de colectores solares=

Para determinar el número de colectores solares que satisfagan los requerimientos ideales de servicio se calcula las pérdidas de calor en el vaso de la pisci= na para 28ºC de temperatura, que se la considera ideal para que los usuarios disfruten de este servicio, considerando que gran parte de los bañ= istas son niños.

Tabla 13: Resumen de pérdidas de calor en la piscina para 28ºC de temperatura

Tem= peratura agua piscina

28,= 00°C

Hor= a

11H= 00

Núm= ero de nadadores

28<= o:p>

Núm= ero de espectadores

6

Pér= didas por evaporación

39 024,79

Pér= didas por radiación

14 999,23

Pér= didas por convección

2 059,87

Pér= didas por renovación

33 213,93

Pér= didas por conducción

4 2= 83,60

TOT= AL (W)

93 581,43

Fuente: Autor, Ecuado= r, 2018

Con el colector HC – 50 cuya área de transferencia de calor es de =  y la eficiencia es del 80%, según la fig= ura 6:

Figura 6: Tipos de colectores solares<= /span><= /span>

Fuente: (HELIOCOL, 2014)

Por lo expuesto se selecciona el colector HC – 50 cuya área de transferencia de calor es de =  y la eficiencia es del 80%, se necesitan= 93 paneles solares lo que representa un área de captación solar de 430 = = .

Sistema de calentamiento de agua con bombas de calor

Otra alternativa a ser considerada para calentar el agua de la piscina son las bombas de calor que utilizan energía eléctrica para su funcionamiento, para determinar las características de estas se toma en cuenta las condiciones d= el sistema registradas en la tabla 4 y la temperatura de 28ºC considerada como adecuada para satisfacer las necesidades de los bañistas se determinó que la potencia necesaria para que el sistema funcione eficientemente es de 312,44= kW, con este dato en la figura 7 se selecciona el tipo de bomba de calor más adecuado.

 <= /o:p>

Figura 7: Tipos de bo= mba de calor

 

3Dmx3C519

Fuente: (GULFSTREAM, 2014)

 

Se necesita 8 bombas de calor HE 150-RB.

Comparación entre las alternativas de solución

A continuación se realiza una comparación que ayud= ará a determinar cuál es la propuesta más factible, en la tabla 14 se encuentran = las principales características de cada sistema.

Tabla 14: Comparación entre alternativ= as de solución (tabla en Excel no gráfico)<= /p>

Fuente: Autor, Ecuado= r, 2018

Si se compara el costo de los dos sistemas la alternativa del uso de las bomba= s de calor es la más costosa, el mantenimiento para este sistema es preventivo y= se lo hace con frecuencia ya que se necesita limpiar los filtros y revisar las instalaciones hidráulicas, su funcionamiento depende exclusivamente del uso= de energía eléctrica, no hay consumo de diesel ya = que es un sistema independiente lo que representaría una eliminación total de gases contaminantes.

Mientras que el sistema que utiliza colectores solares necesita una inversión menor,= en este caso se tendría un sistema combinado que utilice = diesel por algunas horas y luego mantenga la temperatura del agua de la piscina co= n el uso de colectores solares, se eliminaría parcialmente la contaminación ambi= ental producida por el uso de la caldera, necesitaría muy poco mantenimiento y el tiempo de vida útil relativamente es el mismo para los dos sistemas.

Conclusión=

·&nb= sp;        Se desarrolló una auditoria energética preliminar en la que se identificó que el actual sistema de calentamiento de agua es deficiente, la temperatura del agua de la piscina asciende hasta 26,6 ºC, el rendimiento de la caldera oscila entre 53,4% y 58,9%.<= /p>

·&nb= sp;        Se determinó que ca= da día se necesitan 93,581 kW  como el sistema funciona 13 horas la energía consumida es de 1 216,55 kW-h para alcanzar la temperatura en el agua de la piscina de 28ºC, considerada como adecuada para niños desde los 5 años de edad que entrenan = en el complejo de natación Carlos Costales.

·&nb= sp;        Para calentar el ag= ua de la piscina se analizaron dos sistemas con alternativas renovables, la primera consiste en un sistema híbrido que utiliza die= sel durante 4 horas para elevar la temperatura del agua de 24,4 ºC a 28ºC y luego para mantener estable la temperatura se utilizarán 93 paneles solares; la segunda alternativa es el uso de 8 bombas de calor cuyo funcionamiento dependerá exclusivamente del uso de energía eléctrica este consiste en un sistema independiente en el que no es necesario utilizar diesel.

Referencias Bibliograficas

Linkohr, R. (2006). LA POLITICA ENERGETICA LATINOAMERICANA ENTRE EL ESTADO Y EL MERCADO. Nueva Sociedad, 90-103.

Ciatesa. (28 de 11 de 2005). www.ciatesa.es. Recuperado el 10 de 06 de 2017

cosasdepiscina.wordpress.com. (12 de 11 de 2014). Recuperado el 18 de 02 de 2018=

globalpetrolprices.com. (05 de 02 de 2018). Recuperado el 12 de 02 de 2018=

BACHARACH. (03 de 08 de 2014). www.MyBacharach.com. Recuperado el 27 de 06 de 2017

Muños, M. (2012). Análisis comparativo de gases de combus= tión de calderas bagaceras.

ONAGAS. (15 de Enero de 2017). http://onagas.es/analis= is-de-combustion/. Recuperado el 27 de Diciembre de 2017

TEST= O. (s.f.). www.testo.es. Recuperado el 27 de Diciembre de 2017

GULF= STREAM. (2014). BOMBAS DE CALOR. BOMBAS DE CALOR, 2.

HELIOCOL. (02 de 02 de 2014). CALENTADORES SOLARES. HE= LIOCOL, 2.

Medioambiente, M. d. (11 de Agosto de 2010). Acuerdo N° 131. Obtenido de http://www.ambiente.gob.ec/wp-content/uploads/downloads/2014/04/ACUERDO-MIN= ISTERIAL-131.pdf

 

 

PARA CITAR EL ARTÍCULO INDEXADO.=

=  

 

Mor= eno Pinduisaca, L., Palacios Almache, J., Buenaño Moyano,= L., & Barrera Cárdenas, O. (2019). Diagnóstico energético del sistema de calentamiento de agua en la piscina del Complejo de Natación Carlos Costale= s de la ciudad de Riobamba. Propuesta de alternativas de solución. Ciencia Digital, 3(2.6), 370-387. https://doi.org= /10.33262/cienciadigital.v3i2.6.572

&= nbsp;

3Dedito=

 

 

El artículo que se publica es de exclusiva responsabilidad de los autores y no necesariamente reflejan el pensamiento de la Revista Ciencia Digital.

 

El artículo queda en propiedad de la revista y, por tanto, su publicación parcial y/o total en otro medio tiene que ser autoriz= ado por el director de la Revista Ciencia Digital.

=
3D"logo_catalogo3b.jpg"
&nb= sp;

 



[1] Escuela Superior Politécnica de Chimborazo, Chimborazo, Ecuador, ligiam4183@hotmail= .es=

[2] Petroamazonas EP, Chimborazo, Ecuador, juank2981@hotmail.com

[3] Escuela Superior Politécnica de Chimborazo, Chimborazo, Ecuador, lfbuenanio@espoch.edu.ec

[4] Escuela Superior Politécnica de Chimborazo, Chimborazo, Ecuador, obarrera@espoch.ed= u.ec

 

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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /wAAAAAAAAAA////AAAA//////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////////////////////////////////////AAAAAAAAAAD///8AAAD///////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////8AAAAA AAAAAP///wAAAP////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////wAAAAAAAAAA////AAAA//////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////AAAAAAAAAAD/ //8AAAD///////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////8AAAAAAAAAAP///wAAAP////////////////////////////////// /////////////////////////////////////////////////////////////////////wAAAAAA AP////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////wAAAAAAAAAA////AAAA //////////////////////////////////////////////////////////////////////////// ////////////AAAAAAAA////AAAAAAAAAAAA////////////AAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAA////////AAAAAAAAAAAA////AAAAAAAAAAAAAAAAAAAAAAAA////////AAAAAAAA ////AAAAAAAA////AAAAAAAAAAAAAAAAAAAAAAAAAAAA//////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// 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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////AAAAAAAAAAD///8AAAD///////////// //////////////////////////////////////////////////////////////////////////// //////////8AAAAAAAD///////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////8AAAD///////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //8AAAAAAAAAAP///wAAAP////////////////////////////////////////////////////// /////////////////////////////////wAAAAAAAAAAAAAAAP///wAAAP///////////wAAAAAA AAAAAAAAAAAAAAAAAAAAAP///////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AP///////wAAAP///wAAAAAAAAAAAAAAAAAAAAAAAAAAAP///wAAAP///wAAAAAAAP////////// /////////wAAAAAAAAAAAAAAAAAAAAAAAP///wAAAAAAAP///wAAAP///wAAAAAAAAAAAAAAAP// /////wAAAP///wAAAP///wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP///////wAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP///////////wAAAAAAAAAAAAAAAAAAAP////// /wAAAP///////wAAAAAAAP///wAAAAAAAP///wAAAAAAAAAAAAAAAAAAAP///////wAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAP///wAAAAAAAAAAAAAAAP///wAAAAAAAAAAAP///wAAAAAAAAAAAAAA AP///wAAAAAAAAAAAAAAAP////////////////////////////////////////////////////// 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//////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////wAAAP////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////wAAAP////////////////////// /////////////////////////////////////////////////////////////////wAAAAAAAAAA ////AAAA//////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////////////////////////AAAAAAAAAAD///8AAAD///////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////8AAAAAAAAAAP///wAA AP////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////wAAAAAAAAAA////AAAA//////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////AAAAAAAAAAD///8AAAD///// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////8AAAAAAAAAAP///wAAAP////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////wAAAAAAAAAA////AAAA//////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////AAAAAAAAAAD///8AAAD///////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////8AAAAAAAAAAP///wAAAP////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////wAA AAAAAAAA////AAAA//////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////////////////////////////////AAAAAAAAAAD///8AAAD///////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////8AAAD///8AAAAAAAAAAAAAAAAAAAAAAAAAAAD///8AAAAAAAAA AAAAAAAAAAD///////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////8AAAAAAAAA AP///wAAAP////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////wAAAAAAAAAAAAAA AAAAAAAAAP///wAAAAAAAP///wAAAAAAAAAAAAAAAAAAAAAAAP////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// 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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////8AAAAAAAAAAP///wAAAP////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////wAAAAAAAAAA////AAAA//// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////////////AAAAAAAA////////////////////////////////////AAAA//////////////// //////////////////////////////////////////////////////////////////////////// AAAA////////////////AAAA//////////////////////////////////////////////////// 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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////8A AAAAAAAAAP///wAAAP////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// 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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////8AAAAAAAAAAP///wAAAP// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////wAAAAAAAAAA////AAAA//////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////AAAAAAAAAAD///8AAAD///////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////8AAAAAAAAAAP///wAAAP////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////wAAAAAAAAAA////AAAA//////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// AAAAAAAAAAD///8AAAD///////////////////////////////////////////////////////// //////////////////////////////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////8AAAAAAAAAAP// /wAAAP////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////wAAAAAAAAAA////AAAA//////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////AAAAAAAAAAD///8AAAD/ //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// 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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////////AAAAAAAAAAD///8AAAD///////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////8AAAAAAAAAAP///wAAAP////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////wAAAAAAAP////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// 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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////8AAAAAAAAAAP///wAAAP////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// 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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////8AAAAAAAAAAP///wAAAP////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////wAAAAAAAAAAAP////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /wAAAAAAAAAAAP////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// 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AAAA////////////////AAAA////////////////////////////////////AAAA//////////// AAAA////////////////AAAA//////////////////////////////////////////////////// ////////////////////////AAAA////////////////////////////////////AAAA//////// ////////////////////////////////////////////////////////AAAA//////////////// ////////////////////////////////////////////AAAA//////////////////////////// //////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////AAAAAAAAAAD///8AAAD///// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////8AAAAAAAAAAP///wAAAP////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////wAAAAAAAAAA////AAAA//////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////AAAAAAAAAAD///8AAAD///////////////////////////////////////////////////// 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//////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////wAA AAAAAAAA////AAAA//////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////////////////////////////////AAAAAAAAAAD///8AAAD///////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////8AAAAAAAAA AP///wAAAP////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////wAAAAAAAAAA////AAAA//////////////////////////////// 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                     =                                                                            =                  ISSN: 2602-8085<= /p>

                                                 =                       Vol. 3, N°2,6 p. 370-387, abril - junio, 2019

 

CAPACITACI= ÓN & EXCELENCIA (Volumen Especial)         =                                         Página 349

 

 

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