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Influencia del secado en el factor de potencia del aislamiento de los arrollamientos de transformadores de distribución

 

Influence of drying on the insulation power factor of distribution transformer windings

 

Jorge Ramos1*, Carlos García1

 

1 Facultad de Ingeniería Eléctrica y Electrónica, Universidad Nacional de Ingeniería. Lim= a, Perú

 =

Recibido (<= span class=3DSpellE>Received): 10/09/2018=                     Aceptado(Accepted): 11/09/= 2018

=  


= = RESUMEN

= =  

= El presente artículo expone el desarrollo de la investigación sobre el análisis y determinación de la influencia del proceso de eliminación de la humedad, absorbida por el aislamiento sólido de los arrollamientos, en el factor de potencia del aislamiento de los transformadores de distribución. Considerán= dose al factor de potencia como = un parámetro característico que permite determinar qué tan seco está el aislamiento y definir así su calidad desde el punto de vista eléctrico. Se demostró que existe una influencia significa= tiva sobre el factor de potencia.

=  

= Palabras clave - Secado en vacío, factor de potencia del aislamiento, aislamiento de los arrollamientos, capacitancia de los arrollamientos. 

=  

ABSTRACT=

 

= The present article exposes the development of the investigation on the analysis and determination of the influence of the process of elimination of the humidity, absorbed by the so= lid isolation of the windings, in the power factor of the isolation of the dist= ribution transformers. Considering the power factor as a characteristic parameter th= at allows to determine how dry the insulation is and thus define its quality f= rom the electrical point of view. It was shown that there is a significant influence on the power factor.

 

Keywords - Vacuum drying, insulation power factor, insulation of windings, capaci= tance of windings.

 

&nb= sp;



1.      = INTRODUCCIÓN


 


Los transformadores de distribución en = baño de aceite dieléctrico son máquinas eléctricas utilizadas para el suministro= de energía eléctrica en sistemas de distribución. Constructivamente están conformados por el tanque, la parte activa y los accesorios normales, siend= o un componente adicional el aceite dieléctrico (que actúa como refrigerante y aislante).

 

La parte activa es el componente más importante del transformador y está constituida por el núcleo magnético, los arrollamientos y los elementos de conexionado. Durante el proceso de fabricación de los arrollamientos, y posterior montaje en el núcleo magnéti= co, sus aislamientos absorben humedad del medio ambiente.

_____________________________________

*Correspondenci= a:

= E-mail: jorgeramo= sc@uni.edu.pe

 Este exceso de agua en el material aislante, si no se elimina adecuadamente, producirá el envejecimiento acelerado ante la presencia de altas temperatur= as de operación, poniendo en riesgo la vida útil e integridad del transformado= r.

 

Por esta razón, la parte activa se some= te a un proceso de eliminación d= e la humedad (secado del aislamiento), que generalmente se realiza en un horno c= on circulación de aire caliente y a presión atmosférica por un tiempo determin= ado. En = este proceso, la medición del factor de potencia del aislamiento sólido de los arrollamientos y su comparación con valores experimentales, y recomendacion= es de las normas técnicas, permiten determinar qué tan seco está el aislamient= o y definir así su calidad desde el punto de vista eléctrico.

 

Un proceso complementario de secado es el tratamie= nto a presión de vacío del transformador, antes de la impregnación en aceite dieléctrico, con mediciones del factor de potencia del aislamiento sólido de los arrollamientos. En dicho proceso es necesario, a partir de los resultad= os de las mediciones, analizar y determinar los efectos producidos en la calid= ad del secado del aislamiento. En este contexto se formulan el problema general ¿Cómo interactúan el aislamiento seco de los arrollamientos y el tiempo del tratamiento en vacío sobre el factor de potencia del aislamiento de los transformadores de distribución? y los problemas específicos: ¿Qué efecto produce el aislamiento seco de los arrollamientos en el factor de potencia = del aislamiento de los transformadores de distribución? ¿Qué efecto produce el tiempo del t= ratamiento en vacío en el factor de potencia del aislamiento de los transformadores de distribución?   

         =      

Desde el punto de vista aplicativo y académico, el estudio es importante porque anal= iza el proceso de secado en vacío y su influencia en el factor de potencia del aislamiento de los arrollamientos de transformadores de distribución utiliz= ando la metodología de la investigación científica y la aplicación del análisis estadístico; contribuyendo así con el desarrollo de los conocimientos técnicos con base teórica. = Centra el análisis en el proceso de secado de la parte activa de cuat= ro transformadores trifásicos de distribución, con núcleo magnético tipo colum= nas y de 500 Kilovoltioamperios (KVA) de potencia, = de fabricación nacional.

&nb= sp;

Se establece como objetivo general, determinar el efecto que pro= duce la interacción del aislamiento seco de los arrollamientos y el tiempo del tratamiento en vacío sobre el factor de potencia del aislamiento de los transformadores de distribución. Y como objetivos específicos, determinar el efecto que produce el aislamiento seco de los arrollamientos en el factor de potencia del aislamiento de los transformadores de distribución, y determin= ar el efecto que produce el tiempo del tratamiento en vacío en el factor de potencia del aislamiento de los transformadores de distribución.=

 

Para dar respuesta a las preguntas de investigación se formulan la hipótesis general= : El aislamiento seco de los arrollamientos y el tiempo del tratamiento en vacío interactúan sobre el factor de potencia del aislamient= o de los transformadores de distribución; y las hipótesis específicas  : El aislamiento seco de los arrollamientos produce efecto significativo sobre el factor de potencia del aislamiento de los transformadores de distribución; y : El tiempo del tratamiento en vacío produce efecto significativo sobre el factor de potencia del aislamie= nto de los transformadores de distribución. Definiéndose como variables independientes el aislamiento seco de los arrollamientos, que son los diferentes aislamientos sólidos de los arrollamientos de la parte activa del transformador de distribución; y el tiempo del tratamiento en vacío, que es= la duración en horas del proceso en vació, a un milibar de presión, al que es sometida la parte activa dentro de su tanque.  Y como variable dependiente el factor de potencia del aislamiento, q= ue viene a ser el valor que determina el grado de secado del aislamiento sólido de l= os arrollamientos de la parte activa del transformador de distribución en el proceso de tratamiento en vacío.

                       

2.       = BASE TEÓRICA

 

2.1  Factor de Potencia del Aislamien= to

 

El factor de potencia e= s un parámetro del material dieléctrico que constituye el sistema de aislamiento= de las máquinas eléctricas, y en particular de los transformadores de distribución, el cual representa las pérdidas eléctricas totales en el volu= men de este material, y que son el resultado de los diferentes fenómenos que se presentan en la estructura del sistema de aislación. Con el fin de tener una mejor comprensión del concepto de factor de potencia se plantea un modelo d= el sistema de aislación basado en parámetros eléctricos concentrados. Este mod= elo representa todos aquellos procesos físicos que determinan el comportamiento eléctrico macroscópico del aislamiento.

 

Para realizar el modelo= se deberá tener en cuenta que al aplicar una excitación de tensión alterna al sistema de aislación, circulará por éste una corriente total que  explica los siguientes procesos físicos [1]:

 

·      Capacitancia geométrica del sistema de aislamiento: Los dieléctricos dependiendo de su forma constructiva presentan efectos capacit= ivos entre sus componentes. En una condición ideal pueden modelarse como un capacitor [1].

 

·      Polarización del dieléctrico: El modelo físico para estos procesos estará constituido por resistores y capacitores. Estos parámetros concentrados involucran los procesos físicos de pérdidas, magnitud de la polarización y tiempo de relajación [1].

 

·      Conducción superficial y volumétrica: Se debe al movimie= nto continuo de los portadores de carga a través del sistema de aislación. Depe= nde de la temperatura, humedad, contaminación, nivel de la tensión aplicada, calidad y estado del aislamiento. Se modela este comportamiento mediante un resistor [1].

 

·      Ionización: Comprende el proceso fí= sico de las descargas parciales, superficiales o internas, que consumen energía = y que a su vez producen el aumento de la capacitancia del sistema de aislación. El modelo de este proceso estará constituido por un resistor y un capacitor [1= ].

 

 <= /span>Por lo expuesto, el sistema de aislamiento de los transformadores puede mod= elarse como un capacitor con pérdidas, que se representa mediante un circuito eléctrico de parámetros concentrados conformado por un capacitor ideal  en paralelo con un resistor  , ver Figura 1.<= /span>

 

 

 

 

 

 

 

 

 

 

 


Figura 1.  Modelo del aislamiento.

 

Cuando un voltaje  , de u= na fuente de tensión, se aplica a través del aislante, la corriente fasorial <= /span> que ci= rcula tendrá dos componentes denominados  (a tra= vés del capacitor  ) e   (a tr= avés del resistor ). Un aislante ideal tendría  , lo c= ual significaría que la corriente que entrega la fuente estaría adelantada 90° a la tensión aplicada. Un buen aislamiento eléctrico tendrá un ángulo de desfasaje muy cercano a 90°. Cualquier deterioro en el aislamiento producirá un aumento d= e la desviación angular , ver Figura 1.  Definiéndose entonces el factor de potencia y la tange= nte delta como:

 =

                 =                                              (1)=

 =

                                                               (2)=

 =

En general se deberá tener presente que el factor de potencia y la tangente delta tienen valores similares cuando el ángulo  es, aproximadamente, mayor a 8= 0°, siendo diferentes cuando es menor a este valor [2].

 

= Según recomendaciones de la norma internacional [3], los transformadores nuevos en baño de aceite dieléctrico deben tener valores de factor de potencia menor = al 0,5 %, medidos a una temperatura de 20 °C. Para el aislamiento seco de los arrollamientos, sin impregnación de aceite dieléctrico, las normas no prescriben un valor de referencia, por tanto en base a la experiencia se pu= ede considerar como un valor aceptable el que refiere la norma mencionada [3].<= span style=3D'mso-spacerun:yes'>  Si la temperatura de medición difiere d= e 20°C es necesario corregir por temperatura los valores medidos del factor de potencia, según prescribe la norma para transformadores inmersos en aceite = dieléctrico [4]. En el caso del aislamiento seco de los arrollamientos, sin impregnació= n en aceite dieléctrico, la norma no prescribe un valor de corrección por temperatura.

= En la realización de las mediciones del factor de potencia del aislamiento y d= e la capacitancia de los arrollamientos se utilizan los siguientes modos de prue= ba:

a)    Modo de Prueba de Espécimen a Tierra (GST): La prueba de espécimen a tierra, se conoce como= la medición de una muestra de aislamiento que tiene uno de sus terminales conectado a tierra [2]. Para la medición en transformadores= de dos arrollamientos, este modo de prueba se caracteriza por que la forma de conexión entre el instrumento de medición y el transformador bajo ensayo lo= gra medir las corrientes y las pérdidas a tierra de los arrollamientos, por tan= to, se miden el factor de potencia y la capacitancia de los arrollamientos de a= lta tensión a tierra, Figura 2, y de los arrollamientos de baja tensión a tierra, Figur= a 3.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Figura 2. Modo de prueba GST para medic= iones en el arrollamiento de   alta tensi= ón.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Figura 3.  Modo de prueba GST para mediciones en el arrollamiento  de baja tensión.

 =

b)   Modo de Prueba de Espécimen no Aterrado (UST): La prueba de espécimen sin conexión a tierra se conoce como la medición de una muestra de aislamiento que no está conectada= a tierra [2]. Para la medición en transformadores= de dos arrollamientos, este modo de prueba se caracteriza por que la forma de conexión entre el instrumento de medición y el transformador bajo ensayo lo= gra medir las corrientes y las pérdidas entre los arrollamientos, por tanto, se miden el factor de potencia y la capacitancia entre los arrollamientos de a= lta tensión y los arrollamientos de baja tensión. No mide las corrientes y pérd= idas a tierra, ver Figura 4.

=  

 =

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 <= /b>


Figura 4. Modo de prueba UST para medic= iones entre arrollamientos de alta y baja tensión.

 

En las figuras,  y  son las capacit= ancias de los arrollamientos de alta tensión a tierra y de baja tensión a tierra, y   la capacitancia= entre arrollamientos.

 

2.2      Eliminación de la Humedad  d= e la Parte Activa

Los aislamientos sólidos de los arr= ollamientos de transformadores de distribución, están compuestos principalmente por material celulósico y madera, los cuales llegan a representar el 95% de los aislamientos. Estos materiales son altamente higroscópicos conteniendo de 8= % a 10 % de su peso en humedad, en malas condiciones de operación. Dentro de el= los el papel aislante seco absorbe agua más rápidamente que el papel impregnado= de aceite dieléctrico (el cual tiene un rango más bajo de absorción de humedad= ). Esta humedad en el papel aislante afecta su rigidez dieléctrica, el factor de potencia y la resistencia mecánica [5], originando el envejecimiento premat= uro del material.

Para eliminar la humedad de los aislamientos es necesario transformarla en vapor y expulsarla a la atmosfer= a; ello se puede lograr aplicando el Método con Presión de Vacío. Este método consiste en un proceso de disminución de la temperatura de ebullición del a= gua por medio del alto vacío, o sea, bajar la presión interna en el tanque del transformador, que contiene a la parte activa, a niveles en los cuales el a= gua se vaporice y pueda ser extraída en forma de gas [5]. Al convertirse el agu= a en vapor [6], este puede ser evacuado rápidamente por medio de la bomba de vac= ío.

3.&n= bsp;     METODOLOGÍA DE LA INVESTIGA= CIÓN

=  

 <= /span>La unidad de análisis de la investigación fue e= l grado de secado del aislamiento sólid= o de los arrollamientos del transformador de distribución. El tamaño de la muestra consistió de cuatro partes activas de transformadores trifásicos de distribución= , de fabricación nacional, cuyas características técnicas generales se presen= tan en la Tabla 1.

 

Tabla 1. = Características técnicas de los transformadores

 

Potencia Nominal

(KVA)

Tensión Nominal

Tensión Máxima de Servicio

Peso Parte Activa

(Kg)

Alta Tensión

(kV)

Baja Tensión (kV)

Alta Tensión

(kV)

Baja Tensión (kV)

1

500

22,90

0,46

36

3,6

783

2

500

22,90

0,40

36

3,6

777

3

500

22,90

0,46

36

3,6

714

4

500

22,90

0,40

36

3,6

760

N°: Número del transformador de dis= tribución. KVA: Kilovoltioamperios. k= V: Kilovoltios. Kg: Kilogramos.  =

 

Con la finalidad de determinar y analizar los factores que influyeron significativamente en el valor del factor de potencia del aislamiento de los arrollamientos, durante el tratamiento en vacío, se consideraron dos factores de influencia. El primer factor, fue el Aislamiento seco de los arrollamientos= que comprendió tres niveles: a) Aislamiento seco del arrollamiento de baja tensión (Nivel de tensión máxima= de servicio de 3,6 kV), b) Aislamiento seco entre arrollamientos de alta y baja tensión, c) Aislamiento seco del arrollamient= o de alta tensión (Nivel de tensión máxima de servicio de 36 kV). El segundo factor, fue el Tiempo de= l tratamiento en vacío que comprendió cinco niveles, que fueron los intervalos de med= ición de media hora. El Factor depotencia del aislamiento, expresad= o en %, fue la respuesta observada. De las pruebas se= obtuvieron los siguientes datos: a) Las temperaturas del núcleo magnético de la parte activa de uno de los transformadores, medidos durante el secado en el horno= ; b) Los valores de la capacitancia de los arrollamientos de cada uno de los cua= tro transformadores, medidos durante el tratamiento en vacío; c) Los valores del factor de potencia del aislamiento de los arrollamientos de cada uno de los cuatro transformadores, medidos durante el tratamiento en vacío.=

=  =

En el análisis de los resultados se aplicó el diseño factorial utilizando un software de análisis estadístico [7], que permitió contrastar las hipótesis de investigación y determinar la interacción entre factores y el efecto de los factores en la respuesta. Para ello se aplicó un análisis= de varianza (ANOVA) de dos factores [8], el que contrasta, para cada uno de los factores, la hipótesis nula de que los resultados de la variable dependient= e no dependen del factor.

 

4.&n= bsp;     EXPERIMENTACIÓN<= /o:p>

 

Las cuatro partes activas de los transformadores seleccionados como muestras, fueron sometidas a un proceso = de tratamiento térmico de secado en el horno – durante 72 horas y a presión atmosférica – con la finalidad de extraer la humedad de los aislamientos; h= abiéndose monitoreado la temperatura del núcleo magnético de uno de ellos, inicialmen= te en periodos de una hora, obteniéndose la curva de calentamiento que se present= a en la Figura 5. Se realizó el montaje de cada parte activa en su respectivo ta= nque (transformador completo), y luego de ello, el transformador se colocó dentr= o de un tanque diseñado para soportar presiones en vacío sellándose herméticamen= te contra el exterior.=

 

Se inició al tratamiento en va= cío con  una presión de un milibar, man= teniéndose constante durante todo el proceso que tuvo una duración de dos horas. En intervalos de media hora se midió el valor de las capacitancias de los arrollamientos y el factor de potencia del aislamiento, utilizando un instrumento para prueba de baja tensión en sistemas de aislamientos.

 

De la medición de la Capacitancia de los Arrollamientos de la parte activa de cada transformador se obtuvieron los resultados que se presentan en la Tabla 2. En ella se puede apreciar que los valore= s de las capacitancias se mantienen aproximadamente constantes, tanto para el aislamiento de los arrollamientos de alta tensión y de baja tensión como pa= ra el aislamiento entre ambos arrollamientos. Esto en razón de que el tratamie= nto en vacío no afecta significativamente la geometría y dimensiones de los arrollamientos de alta tensión y baja tensión de la parte activa del transformador de distribución.

&nbs= p;

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Figura 5.  Curva de calentamiento del núcleo magné= tico de la parte activa del transformador de distribución.


 

Tabla 2. Valores medidos de la capacitancia de los arrollamientos

Prueba General

Capacitancia de los Arrollamientos

(Picofaradios)

Modo

Energizado

Guarda

UST

Aislamiento del Arrollamiento

Tiempo de Medición

(Horas del Tratamiento en Vacío)

0,0

0,5

1,0

1,5

2,0

1

GST

Alta Tensión

Baja Tensión

 

= : Alta Tensión

388,25

388,40

387,80

387,60

387,40

UST

Alta Tensión

 

Baja Tensión

: Alta y Baja

       Tensión

1161,80

1161,20

1160,40

1159,60

1159,00

GST

Baja Tensión

Alta Tensión

 

= : Baja Tensión

1322,20

1322,00

1321,60

1321,20

1320,80

2

GST

Alta Tensión

Baja Tensión

 

= : Alta Tensión

393,20

391,45

391,45

391,80

394,55

UST

Alta Tensión

 

Baja Tensión

: Alta y Baja

          Tensión

914,80

907,60

908,60

910,80

910,00

GST

Baja Tensión

Alta Tensión

 

= : Baja Tensión

1353,00

1152,00

1152,80

1154,00

1153,40

3

GST

Alta Tensión

Baja Tensión

 

= : Alta Tensión

340,90

332,70

332,50

332,30

332,20

UST

Alta Tensión

 

Baja Tensión

: Alta y Baja

       Tensión

819,60

814,60

813,80

813,20

812,60

GST

Baja Tensión

Alta Tensión

 

= : Baja Tensión

1362,00

1345,00

1344,40

1343,20

1342,20

4

GST

Alta Tensión

Baja Tensión

 

= : Alta Tensión

427,40

419,50

416,70

415,70

415,00

UST

Alta Tensión

 

Baja Tensión

: Alta y Baja

        Tensión

1262,00

1262,00

1261,00

1260,00

1259,40

GST

Baja Tensión

Alta Tensión

 

= : Baja Tensión

1431,40

1428,40

1424,20

1422,40

1421,60

 N°: Número del tran= sformador de distribución sometido a ensayo.

 = ;


De = la medición del Factor de Potencia del Aislamiento de cada transformador, se obtuvieron los resultados que muestran en la Tabla 3; en la que se puede apreciar que los valo= res del factor de potencia (%) correspondientes al aislamiento seco de los arrollamientos de alta tensión y de baja tensión, al inicio del tratamiento= en vacío, son superiores a los obtenidos al final del tratamiento en vacío. Lo= que demuestra la efectividad del proceso para eliminar la humedad remanente en = los aislamientos de los arrollamientos de la parte activa del transformador de distribución. Así mismo se observa que el factor de potencia del aislamiento entre arrollamientos de alta y baja tensión no tiene una variación significativa durante el proceso.

 = ;


 = ;


 = ;

Tabla 3. Valores medidos del factor de potencia del aislamiento

Prueba General

Factor de Potencia del Aislamiento

(%)

Modo

Energizado

Guarda

UST

Aislamiento del Arrollamiento

Tiempo de Medición

(Horas del Tratamiento en Vacío)

0,0

0,5

1.0

1,5

2,0

1

GST

Alta Tensión

Baja Tensión

 

Alta Tensión

1,392

0,588

0,584

0,582

0,580

UST

Alta Tensión

 

Baja Tensión

Alta y Baja Tensión

0,232

0,221

0,217

0,215

0,213

GST

Baja Tensión

Alta Tensión

 

Baja Tensión

1,021

0,937

0,933

0,925

0,915

2

GST

Alta Tensión

Baja Tensión

 

Alta Tensión

1,180

0,839

0,829

0,826

0,825

UST

Alta Tensión

 

Baja Tensión

Alta y Baja  Tensión

0,263

0,196

0,190

0,179

0,175

GST

Baja Tensión

Alta Tensión

 

Baja Tensión

1,050

0,985

0,976

0,970

0,950

3

GST

Alta Tensión

Baja Tensión

 

Alta Tensión

2,080

0,495

0,465

0,456

0,450

UST

Alta Tensión

 

Baja Tensión

Alta y Baja Tensión

0,120

0,100

0,082

0,080

0,079

GST

Baja Tensión

Alta Tensión

 

Baja Tensión

1,030

0,526

0,513

0,510

0,508

4

GST

Alta Tensión

Baja Tensión

 

Alta Tensión

1,840

0,720

0,603

0,541

0,507

UST

Alta Tensión

 

Baja Tensión

Alta y Baja  Tensión

0,123

0,123

0,118

0,117

0,116

GST

Baja Tensión

Alta Tensión

 

Baja Tensión

0,638

0,556

0,535

0,528

0,524

N°: Número del transformador de distribución sometido a ensayo.


 <= /p>

 <= /p>

5.&n= bsp;     ANÁLISIS E INTERPRETA= CIÓN DE  RESULTADOS

 

= El paso previo a la contrastación de las hipótesis de investigación es verific= ar la validez del diseño factorial utilizado, mediante la prueba de significan= cia del análisis de varianza [8][7], cuyos resultado= s se presentan en la Tabla 4.

 

Tabla 4. = Resultados del análisis de varianza

Fuente de Variac= ión

Estadístico de Prueba

Nivel de Significancia

p

Factor Aislamiento Secos de los Arrollamientos

72,43=

0,000*=

Factor Tiempo del Tratamiento en Vacío

10,83=

0,000*=

Interacción entre Factores Aislamiento Seco de los Arrollamientos y Tiempo del Tratamiento en Vacío

5,74<= /span>

0,000*=

 =3D 83,87 %       (corregido) =3D = 78,86 %      (*)   0,05<= /span>

=  

 

 

De este análisis se puede apreciar = que el valor de  (denominado coeficiente de determinación), indica que estadísticamente el 83,87 % de la variabilidad de las mediciones del factor de potencia del aislamiento está explicada y sustentada, tanto por el efecto de los factores Aislamiento sólido de los arrollamient= os  y Tiempo del tratamiento en vacío, como por la Interacción entre ambos factores. Por tanto el diseño factorial es adecuado para el experimento.

=  

Para la contrastación de las hipóte= sis con el análisis de varianza, se tiene que evaluar el nivel de significancia=  , que demuestra estadísticamente que = se acepta la hipótesis de investigaciónp<0,05. Así, de los resultados de  la contrastación de las tres hipótesis, que se presentan en la Tabla 4, se infiere lo siguiente:

=  

= Se acepta la Hipótesis General  y se puede afir= mar que, para la muestra de transformadores = de distribución, el aislamiento seco de los arrollamientos de la parte act= iva y el tiempo de tratamiento en vacío interactúan = sobre el factor de potencia del aislamiento de los transformadores de distribució= n (Estadístico 5,74; = significancia de 0,000; ).

Se acepta la Hipótesis Específica  y se puede afirmar que, para la muestra de transformadores= de distribución, el aislamiento seco de los arrollamientos produce efecto significativo sobre el factor de potencia del aislamiento de los transformadores de distribución (Estadístico 72,43; 0,000; ).

 

= Se acepta la Hipótesis Específica  y se puede afirmar que, para la muestra de transformadores de distribución, el tiempo del tratamiento en vacío produce efecto significativo sobre el factor de potencia del aislamiento de los transformadores de distribución (Estadístico 10,83; 0,000; ).

=  

La aceptación de las hipótesis se traduce en la interpretación práctica de los resultados, que se expone a continuación.

 

 

 

 

 

 

=  

=  

=  

=  

=  

=  

=  

=  

=  

=  

=  

=  

=  

=  

=  


Figura 6.  Gráfica de interacción entre factores. Medias ajustadas.

 

En la gráfica de interacción entre = factores, de la Figura 6, se observa que al cruzarse las líneas de los niveles del aislamiento seco - arrollamiento de alta tensión y arrollamiento de baja tensión – aproximadamente a las 0,5 horas, se comprueba que existe interacc= ión entre los factores Tiempo del trata= miento en vacío y Aislamiento seco de = los arrollamientos; por tanto, la relación que existe entre la respuesta fa= ctor de potencia del aislamiento y el tiempo del tratamiento en vacío depende de= la calidad del aislamiento seco de los arrollamientos.

 

En esta gráfica también se aprecia = que, al iniciarse el tratamiento en vacío (0,0 horas), el aislamiento seco del arrollamiento de baja tensión tiene un valor promedio del factor de potenci= a menor al del arrollamiento de alta tensión; lo que significa que el aislamiento d= el arrollamiento de baja tensión por encontrarse cerca del núcleo magnético, q= ue es la parte más caliente, ver Figura 7, ha tenido un secado uniforme en su aislamiento en comparación con el aislamiento del arrollamiento de alta tensión. Ello también podría indicar que el arrollamiento de alta tensión, = al estar ubicado exteriormente con respecto al núcleo magnético, la exposición= al medio ambiente, durante el proceso de ajuste y montaje de la parte activa e= n su tanque, ha originado que absorba humedad afectando la calidad del secado. E= n la misma gráfica, luego de 0,5 horas de tratamiento en vacío, el aislamiento d= el arrollamiento de alta tensión alcanza un valor promedio de factor de potenc= ia que es menor al valor que tiene el arrollamiento de baja tensión; para luego mantenerse con una tendencia decreciente hasta el final del tratamiento en vacío.

 

 Con relación a la línea correspondiente = al nivel del aislamiento seco entre arrollamientos de alta y baja tensión, se observa que esta no se cruza con las otras líneas durante todo el tratamien= to en vacío - valor promedio de factor de potencia del aislamiento aproximadam= ente constante - lo que significa que para este tipo de aislamiento no existe interacción entre los factores Tiem= po del tratamiento en vacío y Aislamie= nto seco de los arrollamientos; ya que el tratamiento en vacío no afecta en gran medida el secado de estos aislamientos. Esto se explica porque en la z= ona intermedia de los arrollamientos (entre alta y baja tensión) el volumen de = masa del aislamiento sólido es mínimo, puestos que, básicamente, son canales de refrigeración constituidos por cilindros aislantes y d= istanciadores axiales, como se aprecia en la Figura 7, y por tanto la escasa humedad que = hubieren contenido ha sido eliminada rápidamente durante el secado de la parte activ= a en el horno. Este espacio posteriormente será ocupado por el aceite dieléctric= o.

 

De la Figura 6 y Tabla 3 se determina, que el aislamiento seco de los arrollamientos representa un efecto individual importante sobre el factor de potencia del aislamiento. Ya que para los tres niveles del aislamiento, el factor de potencia disminuye gradualmente como consecuencia de la eliminación de la humedad. Lo que ha sido corroborado co= n el nivel de significancia () obtenido en el análisis de varianza, Tabla 4, y por tanto es un efecto en el que se debe priorizar su atención. Esto implica que el control del secado de la parte activa podría centrarse en el arrollamiento de alta tensión, puesto que, al ser de un niv= el de tensión máxima de servicio de 36 kV y contar= con mayor número de espiras, tiene también mayor masa de aislamiento sólido, ver Figura 8, en comparación con el arrollamiento de baja tensión, ver Figura 9= .

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 <= /b>

 <= /b>


= Figura 7.   Vista transversal de los arrollamientos de la parte  activa  del transformador.

=  

=  

=  

=  

=  

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

=  


= Figura 8.  Disposic= ión del aislamiento sólido en el a= rrollamiento de alta tensión (36 kV).

=  

=
 

=  <= /b>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 <= /o:p>

 

=  <= /p>

= Figura 9.  Disposic= ión del aislamiento sólido en el arrollamiento de baja tensión (3,6 kV).

=  

De la Fi= gura 6 y Tabla 3 también se determina, que el tiempo del tratamiento en vacío representa un efecto individual importante sobre el factor de potencia del aislamiento. Ya que para los cinco niveles de tiempo, el factor de potencia= disminuye gradualmente conforme se acelera la evaporación del agua del aislamiento, F= igura 10. Lo que ha sido corroborado con el nivel de significancia () obtenido en el análisis de varianza, Tabla 4. Por tanto es recomendable que el tiempo del tratamiento en va= cío sea como mínimo de dos horas, puesto que el efecto en el factor de potencia= del aislamiento es favorable, alcanzándose un valor próximo al 0,5 %.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Figura 10. Diagrama= de fases de la eliminación del agua contenida en el aislamiento. Adaptado de Fundamentos de Termodinámica [6].

=  

= Esto se explica porque al iniciarse el tratamiento en vacío, punto C de la Figura 10, se produce una expansión del aire contenido dentro del tanque del transformador. Esta expansión ayuda a la expulsión inicial de la humedad, punto D. Simultáneamente, al reducirse = el punto de ebullición del agua contenida en los aislamientos, la evaporación = se acelera hasta que se logra la presión de un milibar, punto E. Así, conforme se prolonga el tratamiento en vacío a presión constante, se mejora permanentemente el secado del aislamiento de los arrollamientos.  =

 

CONCLUSIONES<= /p>

=  

= El principal aporte del estudio ha sido comprobar la influencia del tratamient= o de secado en vacío sobre el factor de potencia del aislamiento de los arrollamientos de transformadores de distribución. Probándose estadísticamente, para la muestra en estudio, = la hipótesis general y las hipótesis específicas formuladas en la investigació= n, demostrándose así la eficacia del proceso.

= Se confirmó como efectos principales, sobre el fac= tor de potencia del aislamiento de los arrollamientos, el grado de calidad del aislamiento seco de los arrollamientos y el tiempo de duración del tratamie= nto en vacío.

Se demostró, que el tiempo de duración del tratamiento en vacío produce= un efecto que contribuye con la aceleración de la eliminación de la humedad remanente del aislamiento de los arrollamientos, traduciéndose en una disminución del  valor promedio del factor de potencia del aislamiento.

 

Se demostró, = que la calidad del secado del aislamiento sólido de los arrollamientos de alta tensión y baja tensión produce un  = efecto que se refleja en el valor promedio del factor de potencia del aislamiento.=

=  

= Se comprobó, que la capacitancia a tierra de los arrollamientos de alta tensió= n y de baja tensión no se ve influenciada por el tratamiento en vacío.<= /span>

 

REFERENCIAS=

 

[1] Prueba de Tangente Delta y Capacidad Ingeniería de Máquinas Eléctricas (IME= )

http://ww= w.ime.com.co/filedownload/downloadfile/fileid/48/src/@random558829acd336e

[2] I= wanusiw O W 2010 Insulation Power Factor Testing of Power Transformers Eltel Industries, Bangalore http://www.eltelindustries.com/wp-content/uploads= /2013/10/ACTS125K-PLUS.pdf

[3]<= span lang=3DEN-US style=3D'font-size:8.0pt;font-family:"Candara","sans-serif"; mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New R= oman"; mso-ansi-language:EN-US;mso-fareast-language:ES'> IEEE Std 62 1995 IEEE Guide for Diagnostic Field Tes= ting of Electric Power Apparatus— Part 1: Oil Filled Power Transformers, Regulat= ors, and Reactors Revision of IEEE Std 62-1978=

[4] IEEE Std C57.12.1999 IEEE Stand= ard Test Code for Liquid-Inmersed Distribution, Power, a= nd Regulating Transformers Revision of IEEE Std C57.12.90-1993

[5] P= rocedimiento para secado de transformadores de distribución Bombas de Vacío y Deshidratación S A

http:/= /www.bombasdevacio.com.mx/desgas_procedsecadotransformadoresDistrib.html

[6] Van Wylen G y Sonntang R 1975 Fundamentos de Termodinámica (Primera Edición) México: Editorial Limusa pp 66-69

[7] Manual Minitab 16 Meet Minitab 16 =

=        https://es.scribd.com/doc/58634097/Manual-Minitab-16=

[8] Montgomery D 2008 Diseño y Análisis de Experimentos (Segunda Edición) México: Limusa Wiley pp 170-200

 

Los artículos publicados por TECNIA <= span class=3DSpellE>pueden ser compartidos a través de la licencia<= /span> Creative Commons: CC BY 4.0 Perú. Permisos lejos de este alcance pueden ser consultados a través del correo revistas@uni.edu.p= e

 

 

 

 

 

 

 

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J. Ramos, et al.

doi: https://doi.org/10.21754/tecnia.v28i2.349                                         Revist= a TECNIA Vol. 28 Nº 1 Agosto – Diciembre 2018

 

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