Transformadores y Lineas

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    UNIVERSIDAD DEGUADALAJARA

    ALUMNO: ALBERTO BERNAL RIVASCODIGO: 211215947

     Tema:

     TRANSFORMADORES Y LINEAS DE TRANSMISION

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    TRANSFORMADORES

    La i!e"i# $e% &'a()*'ma$*'+ $a&a $e% a,* $e 1--4 .a'a (e' a.%i"a$*

    e %*( (i(&ema( $e &'a(mi(i# /0e e e(a .*"a e'a $e "*''ie&e$i'e"&a .'e(e&a3a %imi&a"i*e( &"i"a( e"*#mi"a( E% .'ime'(i(&ema "*me'"ia% $e "*''ie&e a%&e'a "* e( $e $i(&'i30"i# $e %aee'6a e%"&'i"a /0e 0(a3a &'a()*'ma$*'e(+ (e .0(* e *.e'a"i# e%*( E(&a$*( Ui$*( $e Am'i"a E e% a,* $e 1--8 e G'ea& Ba'i6&*+Ma((+ e e(e mi(m* a,*+ a% .'*&e""i# e%"&'i"a (e &'a(mi&i# a 2!*%&( e "*''ie&e a%&e'a a 0a $i(&a"ia $e ;i%#me&'*(+ e 0a %ea"*(&'0i$a e Ce'"

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    im>+ (i* .*' 0a "*''ie&e e%"&'i"a La !a'ia"i# $e %a i&e(i$a$ $e"*''ie&e e 0a 3*3ia $a %06a' a 0 "am.* ma6&i"* !a'ia3%e E(&e"am.* ma6&i"* *'i6ia 0 0=* ma6&i"* &am3i !a'ia3%e /0ea&'a!ie(a %a *&'a 3*3ia e i$0"e e e%%a+ $e a"0e'$* "* %a %e $eFa'a$ae'+ 0a )0e'a e%e"&'*m*&'i C0a%/0ie'a $e %a( 3*3ia( $e%

    .a' .0e$e (e' e% e%eme&* i$0"&*' "0a%/0ie'a e% e%eme&* i$0"i$*+$e a %06a' a 0a )0e'a e%e"&'*m*&'i a0&*i$0"i$a E &a% "a(* a %a"*''ie&e ii"ia% (e %e a,a$i'> 0 &'mi* a$i"i*a% "*''e(.*$ie&e a %ai$0""i# ma6&i"a $e %a 3*3ia (*3'e ( mi(ma

     T*$a( %a( 3*3ia( e "i'"0i&*( $e "*''ie&e a%&e'a .'e(e&a e%)e#me* $e %a a0&*i$0""i#+ a /0e (*.*'&a 0 0=* ma6&i"*!a'ia3%e .e'* $i"(+ /0e (e 0&i%ia .a'a 0i' $*( *

    m>( "i'"0i&*( $e "*''ie&e a%&e'a CA a.'*!e"

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    !*%&a=e e( "*(&a&e e "a$a =0e6* $e 3*3ia(+ $e )*'ma /0e e 0&'a()*'ma$*' e%e!a$*' e% a0me&* $e !*%&a=e $e %a 3*3ia (e"0$a'ia!iee a"*m.a,a$* .*' %a "*''e(.*$ie&e $i(mi0"i# $e "*''ie&e

    L*( &'a)*'ma$*'e( (e 0&%ia "&i"ame&e e% 0=* /0ee(%a3*a a% $e!aa$* .'ima'i*+ e( e% mi(m* /0e e(%a3*a a% (e"0$a'i* $e a/0 /0e %a "*''ie&e $e !a"* * $e ee'6ia"i# 'e.'e(e&a (#%* e%2 * $e %a "*''ie&e .'ima'ia $e .%ea "a'6a a (e .0e$e $e"i' /0e%*( am.e'ee(.i'a $e% .'ima'i* (* i60a%e( a %*( am.e'ee(.i'a $e%(e"0$a'i*+ e( $e"i':

    N1 I N2 I2

    I1

    N2

    I2N1

    CIRCUITO EQUIALENTE DEL TRANSFORMADOR REFERIDO ALLADO !RIMARIO.

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    La 'e(i(&e"ia 'ea"&a"ia (e"0$a'ia( (e 'ee'e a% $e!aa$* .'ima'i*$e a"0e'$* "* %a( 'e%a"i*e(:

    R21 R2 N12

    N2

    K21 K2 N22

    N2

    E )*'ma a>%*6a %a 'e(i(&e"ia 'ea"&a"ia .'ima'ia (e .0e$e 'e)e'i'a% (e"0$a'i*

    Determinación la" con"tante" del tran"#ormador.

    L*( !a%*'e( 'ea%e( $e 'e(i(&e"ia 'ea"&a"ia $e %*( $e!aa$*( $e 0&'a()*'ma$*'+ (e .0e$e *3&ee' $e .'0e3a( $e %a3*'a&*'i*( me$ia&eme$i"i*e( a%60*( ">%"0%*( 'e%a&i!ame&e (im.%e( /0e (* %a 3a(e$e %*( !a%*'e( 0(a$*( e %*( "i'"0i&*( e/0i!a%e&e (* %a 3a(e $e %*(!a%*'e( 0(a$*( e %*( "i'"0i&*( e/0i!a%e&e( A%60*( $e e(&*( !a%*'e( *

    .a'>me&'*( $e% &'a()*'ma$*' *3&ei$*( .a'a e% &'a()*'ma$*' .0e$e* e@i(&i' )(i"ame&e+ .e'* .0e$e a0$a' a "*m.'e$e' %a *.e'a"i#$e% &'a()*'ma$*'

    La $rue%a de corto circuito en el tran"#ormador.

    La .'0e3a $e "*'&* "i'"0i&* "*(i(&e e "e''a' * .*e' e "*'&* "i'"0i&*+e( $e"i'+ "* 0a "*e@i# $e 'e(i(&e"ia $e(.'e"ia3%e+ %a( &e'mia%e( $e0* $e %*( $e!aa$*( a%ime&a' e% *&'* "* 0 !*%&a=e 'e$0"i$*a.%i"a$* e )*'ma 'e60%a$a $e 0 !a%*' 'e$0"i$* $e &e(i# /0e'e.'e(e&a 0 .e/0e,* .*'"e&a=e $e% !*%&a=e $e% $e!aa$* .*'a%ime&a'+ $e &a% )*'ma+ /0e e %*( $e!aa$*( "i'"0%e %a( "*''ie&e(*mia%e( E e(&a "*$i"i*e( (e mi$e %a( "*''ie&e( *mia%e( %a.*&e"ia a3(*'3i$a

    De3i$* a /0e %a &e(i# a.%i"a$a e( .e/0e,a e "*m.a'a"i# "* %a&e(i# *mia%+ %a( .'$i$a( e !a"* * e e% H"%e* (e .0e$e"*(i$e'a' "*m* $e(.'e"ia3%e(+ $e mae'a /0e &*$a %a .*&e"ia

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    a3(*'3i$a e( $e3i$a a %a( .'$i$a( .*' e)e"&* =*0%e e %*( $e!aa$*(.'ima'i* (e"0$a'i*

    Dia&rama $ara la $rue%a de cortocircuito de un tran"#ormadormono#a"ico.

    a&&me&*' /0e i$i"a %a .*&e"ia $e .'$i$a( .*' e)e"&* $e "i'"0%a"i#$e %a( "*''ie&e( e %*( $e!aa$*( .'ima'i* (e"0$a'i*

    C*e@i# $e "*'&* "i'"0i&* e&'e %a( &e'mia%e( $e% $e!aa$*

    V*%&a=e $e a%ime&a"i# $e !a%*' 'e$0"i$*+ $e mae'a /0e (e

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    'e(i(&e"ia $e %*( $e!aa$*( .'*$0"e %a( mi(ma( .'$i$a( e e(&*(+ /0e"0a$* *.e'a e "*$i"i*e( $e .%ea "a'6a+ e(&* (e $e3e a /0e eam3*( $e!aa$*( e .*' %* 6ee'a% 'e)e'i$*( a% $e!aa$* $e a%&* !*%&a=e+$e3i$* a /0e (e a"*(&0m3'a .*e' e "*'&* "i'"0i&* e% $e!aa$* $e 3a=*!*%&a=e+ e( $e"i' %a( me$i"i*e( (e

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      La "*''ie&e *mia% e %e $e!aa$* $e a%&* !*%&a=e e( me*' /0e %a"*''ie&e *mia% e e% $e!aa$* $e 3a=* !*%&a=e ?*' %* &a&*+ (*me*( .e%i6'*(a( .*' *&'a .a'&e e( m>( )>"i% e"*&'a' i(&'0me&*($e me$i"i# $e&'* $e% 'a6*

      De3i$* a /0e e% !*%&a=e a.%i"a$* e( .*' %* 6ee'a% me*' /0e e% 5$e% !a%*' $e% !*%&a=e *mia% $e% $e!aa$* a%ime&a$*+ (e *3&iee 0a%e"&0'a $e% !#%&ime&* "* 0a $e e@i# a.'*.ia$a .a'a e% 'a6* $e!*%&a=e( /0e (e mi$e

    Re&ulación del tran"#ormador.

    La 'e60%a"i# $e 0 &'a()*'ma$*' (e $ee "*m* a% $i)e'e"ia e&'e %*(!*%&a=e( (e"0$a'i*( e !a"* a .%ea "a'6a+ me$i$*( e &e'mia%e(+e@.'e(a$a e(&a $i)e'e"ia "*m* 0 .*'"e&a=e $e% !*%&a=e a .%ea "a'6a

    ?a'a e% ">%"0%* $e% !*%&a=e e !a"* (e $e3e &*ma' e "*(i$e'a"i# e%)a"&*' $e .*&e"ia $e %a "a'6a

    !OTENCIA ( RENDIMIENTO DE LOS TRANSFORMADORESMONOFASICOS ( TRIFASICOS.

    La $otencia de lo" tran"#ormadore".

    C*m* (e (a3e+ %a .*&e"ia e "*''ie&e a%&e'a m**)>(i"a e(&> $a$a"*m* e% .'*$0"&* $e %a &e(i# .*' %a "*''ie&e .*' e% )a"&*' $e.*&e"ia+ $e a"0e'$* a %a e@.'e(i#

    ? VI "*( 9

    E(&a )#'m0%a e@.'e(a %a .*&e"ia 'ea% /0e (e mi$e e Qa&&(+ e%.'*$0"&* $e% !*%&a=e (*%* .*' %a "*''ie&e $a %a $e*mia$a .*&e"iaa.a'e&e

    ? VI

    La( *'ma( .a'a &'a()*'ma$*'e( "0a$*

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    (#%* "*!e"i*a%+ (e $e3e a% /0ia$e($e e% .0&* $e !i(&a $e% $ime(i*amie&* La( .'e(&a"i*e( $e 0am>/0ia e%"&'i"a e(&> %imi&a$a( .*' e% "a%e&amie&* $e (0("*m.*e&e(+ %a( "0a%e( e(&> "a0(a$a( .*' %a( .'$i$a( /0e &iee E.a'&i"0%a'+ e 0 &'a()*'ma$*' (e &iee %a( .'$i$a( e e% H"%e* a%

    .'$i$a( e %*( $e!aa$*(

    ?a'a e% H"%e* ma6&i"*+ %a( .'$i$a( $e.e$e $e %a i$0""i#ma6&i"a B+ %a "0a% e( .'*.*'"i*a% a %a &e(i# i$0"i$a+ e %*($e!aa$*(+ %a( .'$i$a( (* .'*.*'"i*a%e( a% "0a$'a$* $e %a "*''ie&e

    La .'0e3a $e "*'&* "i'"0i&* $e% &'a()*'ma$*'+ .e'mi&e *3&ee' %a(.'$i$a( a .%a "a'6a "* %*( $e!aa$*(+ a .a'i' $e (&a( (e .0e$e"a%"0%a' .a'a "0a%/0ie' *&'* !a%*' $e "a'6a

    La %%ama$a .'0e3a $e "i'"0i&* a3ie'&* e e% &'a()*'ma$*'+ .e'mi&e*3&ee' e% !a%*' $e %a( %%ama$a( .'$i$a( e !a"* * .'$i$a( $e e%H"%e*+ /0e "*m* (e me"i*#+ "*(i(&e $e $*( .a'&e(+ %a( .'$i$a( .*'( "*(&*(*( /0e a/0e%%*("*e"&a$*( e e(&'e%%a+ 'e/0i'i$*(e em.%ea' "*$0"&*'e( $e $i>me&'*me*' * $e3ie$* em.%ea' 0 ma*' Hme'* $e e(.i'a(

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    De"#a"amiento entre la" #a"e"

    E %*( &'a()*'ma$*'e( &'i)>(i"*(+ &iee im.*'&a"ia e&'e *&'a "*(a(+ e%e!e&0a% $e()a(amie&* $e )a(e( $e %a &e(i# (e"0$a'ia 'e(.e"&* a %a&e(i# .'ima'ia+ /0e .0e$e a)e"&a' a %a "*e@i# e .a'a%e%* $e %*(&'a()*'ma$*'e(

    E %*( &'a()*'ma$*'e( m**)>(i"*( e "*e@i# &'i)>(i"a+ a %*(&'a()*'ma$*'e( &'i)>(i"*(+ %*( $e!aa$*( .'ima'i* (e"0$a'i* /0e&iee %a mi(ma "*e@i# .*' e=em.%* e(&'e%%ae(&'e%%a+ $e%&a$e%&a %a&e(i# (e"0$a'ia .0e$e e(&a (#%* e )a(e A * e .*(i"i# $e )a(e+e( $e"i'+ a 1-*

    E "am3i*+ %*( &'a()*'ma$*'e(+ &'i)>(i"*( "* "*e@i# mi@&a e %*($e!aa$*( .*' e=em.%* e(&'e%%a$e%&a+ $e%&ae(&'e%%a+ e(&'e%%ai6a6+e(&e $e()a(amie&* a60%a' * .0e$e (e' 0"a * * 1-* .e'* $e3e (e'mH%&i.%* $e *

    E@amia$* !e"&*'ia%me&e &*$a( %a( "*m3ia"i*e( $e "*e@i*e(&'i)>(i"a(+ 'e(0%&a /0e i"%0e$* e% $e()a(amie&* $e *+ .0e$e ( 0(0a%e( $e $e()a(amie&* a60%a' (e $a e %a&a3%a

    Cone+ione" De Tran"#ormador Tri#,"ico.

    • Cone+ión E"trella- Delta-

    E e(&a "*e@i# e% !*%&a=e .'ima'i* $e %ea (e 'e%a"i*a "* e% !*%&a=e.'ima'i* $e )a(e me$ia&e VL? VF?+ e% !*%&a=e $e %ea(e"0$a'i* e( i60a% a% !*%&a=e $e )a(e (e"0$a'i* VLS VFS La 'e%a"i#$e !*%&a=e $e "a$a )a(e e(

    VF? VFS a

    De &a% mae'a /0e %a 'e%a"i# &*&a% e&'e e% !*%&a=e $e %ea e e% %a$*.'ima'i* $e% 6'0.* e% !*%&a=e $e %ea e e% %a$* (e"0$a'i* $e% 6'0.*e(

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    VL? VLS VF? VFS

    VL? VLS a

    La "*e@i# * &iee .'*3%ema "* %*( "*m.*e&e( $e% &e'"e'

    a'm#i"* e (0( !*%&a=e(+ a /0e e%%*( (e "*(0me e %a "*''ie&e"i'"0%a&*'ia $e% %a$* $e%&a E(&> "*e@i# &am3i e( m>( e(&a3%e "*'e%a"i# a %a( "a'6a( $e(3a%a"ea$a(+ .0e(&* /0e %a $e%&a 'e$i(&'i30e.a'"ia%me&e "0a%/0ie' $e(3a%a"e /0e (e .'e(e&e

    E(&a $i(.*(i"i# &iee+ (i em3a'6*+ 0 .'*3%ema E 'a# $e %a"*e@i# $e%&a+ e% !*%&a=e (e"0$a'i* (e $e(.%aa W "* 'e%a"i# a%!*%&a=e .'ima'i* $e% &'a()*'ma$*' E%

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    • Cone+ión Delta- /0 E"trella- /

    E 0a "*e@i# + e% !*%&a=e $e %ea .'ima'i* e( i60a% a% !*%&a=e $e)a(e .'ima'i*+ VL?VF?+ e &a&* /0e %*( !*%&a=e( (e"0$a'i*( (e'e%a"i*a .*' VLS VFS+ .*' &a&* %a 'e%a"i# $e !*%&a=e %ea a%ea $e e(&a "*e@i# e(

    VL? VLS VF? VFS

    VL? VLS a

    E(&a "*e@i# &iee %a( mi(ma( !e&a=a( e% mi(m* $e(.%aamie&* $e

    )a(e /0e e% &'a()*'ma$*' La "*e@i# /0e (e i%0(&'a e %a 60'a+

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    • Cone+ión Delta- /0 Delta- /

    E 0a "*e@i# $e e(&a(+

    VL? VF?

    VLS VFS

    A( /0e %a 'e%a"i# e&'e %*( !*%&a=e( $e %ea .'ima'i* (e"0$a'i* e(

    VL? VLS VF? VFS a

    E(&a "*e@i# (e 0&i%ia )'e"0e&eme&e .a'a a%ime&a' (i(&ema( $ea%0m3'a$* m**)>(i"*( "a'6a $e .*&e"ia &'i)>(i"a (im0%&>eame&e+.'e(e&a %a !e&a=a $e .*$e' "*e"&a' %*( $e!aa$*( .'ima'i* (e"0$a'i* (i $e()a(amie&*+ * &iee .'*3%ema( $e "a'6a($e(3a%a"ea$a( * a'm#i"a( Si em3a'6*+ "i'"0%a a%&a( "*''ie&e( ame*( /0e &*$*( %*( &'a()*'ma$*'e( (ea "*e"&a$*( "* e% mi(m* &a.$e 'e60%a"i# &e6a %a mi(ma 'a# $e &e(i#

    • Cone+ión En !aralelo.

    L*( &'a()*'ma$*'e( (e .0e$e "*e"&a' e .a'a%e%* .*' $i(&i&a('a*e(+ %a( .'i"i.a%e( e(&> 'e%a"i*a$a( "* .'*3%ema( $e"*a3i%i$a$ $e i"'eme&* e %a $ema$a C0a$* (e e@"e$e * (e

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    e(&> a .0&* $e e@"e$e' %a "a.a"i$a$ $e 0 &'a()*'ma$*' a e*.e'a"i#

    ?a'a "*e"&a' %*( &'a()*'ma$*'e( e .a'a%e%* 6a'a&ia' (0 "*''e"&a*.e'a"i#+ (e $e3e "0m.%i' "ie'&a( "*$i"i*e( "*m* (*:

    1 De3e &ee' %*( mi(m*( !*%&a=e( .'ima'i*( (e"0$a'i*(

    2 De3e &ee' %*( mi(m* !a%*' $e im.e$a"ia e@.'e(a$* e.*'"ie&* * e .*' 0i$a$

    Se $e3e !e'i"a' /0e %a .*%a'i$a$ $e %*( &'a()*'ma$*'e( (ea %ami(ma

    • Cone+ión De Scott1 Tran"#ormacione" De 2 A 3 Fa"e" O De 3

    A 2 Fa"e".C0a%/0ie' (i(&ema .*%i)>(i"* (e .0e$e &'a()*'ma'+ em.%ea$*"*m3ia"i*e( * &'a()*'ma"i*e( a$e"0a$a(+ a *&'* (i(&ema .*%i)>(i"*

    Da$* 0 (0mii(&'* &'i)>(i"*+ e( .*(i3%e *3&ee' "0a%/0ie' (i(&ema.*%i)>(i"*+ $e($e "* $*( )a(e "* 24 )a(e( * m>(

     Ti.*( $e &'a()*'ma$*'e( &'i)>(i"*( /0e (e .0e$e "*e"&a' e .a'a%e%*

    C*%0ma A

    De(.%aamie&* $e )a(eW

    C*%0ma 3

    De(.%aamie&* $e )a(eW

     (0( 

    A0A

    T0T

    0

    A0( 

     (0A

    E% $ia6'ama )a(*'ia% /0e m0e(&'a %*( !*%&a=e( $e )a(e /0e (e i$0"e e%*( (e"0$a'i*( $e %*( &'a()*'ma$*'e( TT+ (06ie'e /0e

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    A% i60a% /0e %a "*e@i# TT+ (e e"e(i&a $*( &'a()*'ma$*'e( "* (a%i$a(e(.e"ia%e( E% &'a()*'ma$*' .'i"i.a% /0e (e m0e(&'a e %a 60'a(i60ie&e Tiee e% .'ima'i* "* 0a (a%i$a a% "e&'*+ * 3ie $*($e!aa$*( i60a%e( "*e"&a$*( e (e'ie( E% &'a()*'ma$*' $e $e(e'e$*&iee 0a "a.a"i$a$ $e !*%&a=e a V2 * (ea -88 $e% !*%&a=e *mia%

    $e% &'a()*'ma$*' .'i"i.a% L*( (e"0$a'i*( $e am3*( &'a()*'ma$*'e(&iee i60a%e( !*%&a=e( *mia%e( .0e$e &ee' (a%i$a( "e&'a%e(+ (*%*.a'a "0a&'* )a(e(+ "*m* (e m0e(&'a e %a 60'a (i60ie&e

    • Tran"#ormador Tri#,"ico 4e+a#,"ico.

    E% )0"i*amie&* $e e(&*( &'a()*'ma$*'e( *)'e"e me*( $i"0%&a$e(+

    e "a(* $e * e"e(i&a'(e 0 "*$0"&*' e0&'* .a'a e% (i(&ema(i"*+ .0e$e

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    LA CONSTRUCCION DEL TRANSFORMADOR.

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    C* 'e(.e"&* a %a( "a'a"&e'(&i"a( "*(&'0"&i!a(+ (e &iee !a'ia&e( $e

    )a3'i"a&e a )a3'i"a&e+ (i"ame&e $*( &i.*(+ e% %%ama$* &i.*3*3ia )*'ma$*( $e !a'ia( "a.a( $e "*$0&*'e(+ e(&a( 3*3ia( &iee)*'ma $i("*i$a%+ e(&a( 3*3ia( (e "*e"&a+ .*' %* 6ee'a%+ e (e'ie .a'a$a' e% Hme'* &*&a% $e e(.i'a( $e 0a )a(e E% *&'* &i.* $e( e% %%ama$*$e "a.a( "*(&i&0i$* .*' 0a (*%a 3*3ia "* !a'ia( "a.a(+ e(&a3*3ia e( $e %*6i&0$ e/0i!a%e&e a %a( !a'ia( 3*3ia( $i("*i$a%e( /0e"*(&i&0i'a e% $e!aa$* e/0i!a%e&e+ .*' %* 6ee'a%+ e% Hme'* $ee(.i'a( .*' "a.a e e(&e &i.* $e $e!aa$*+ e( (0.e'i*' a% "*(&i&0i$* $e!a'ia( 3*3ia( $i("*i$a%e(

    C*m* a(.e"&*( 6ee'a%e(+ (e .0e$e $e"i' /0e e% .'ime' &i.* 3*3ia($i("*i$a%e(+ $a ma*' )a"i%i$a$ $e e)'iamie&* e im.'e6a'(e $ea"ei&e+ $e3i$* a /0e $i(.*e "aa%e( $e "i'"0%a"i# m>( 0me'*(*(+&am3i &iee %a !e&a=a $e /0e 'e/0ie'e $e "*$0"&*'e( $e me*'$i>me&'* e/0i!a%e&e a% *&'* &i.*+ $a ma*' )a"i%i$a$ "*(&'0"&i!a Tiee%a $e(!e&a=a $e (e' m>( &a'$a$* e (0 "*(&'0""i#

    La( 3*3ia( $i("*i$a%e( (e "**"e &am3i "*m* &i.* 6a%%e&a ea%60*( "a(*(+ (e )*'ma "a$a 0a+ $e 0 "ie'&* Hme'* $e "*$0"&*'e($i(.0e(&*( e "a.a( ai(%a$a( e(&a( "a.a( e&'e ( .*' .a.e% ai(%a&e+"a$a 3*3ia a% &e'mia' (e ama''a "* "i&a $e %i* * a%6*$# .a'a$a'%e "*(i(&e"ia me">i"a .*(&e'i*'me&e (e %e( $a 0 3a,* $e3a'i (e

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    La $i(.*(i"i# $e %*( $e!aa$*( e %*( &'a()*'ma$*'e(+ $e3e (e' (

    "e'"a* .*(i3%e $e% (e"0$a'i*+ E %a .'>"&i"a+ (e a%"aa 0a (*%0"i#"*!eie&e $e% .'*3%ema "* %a $i(.*(i"i# $e %*( $e!aa$*( $e&'* e%*( (i60ie&e( &i.*(:

    • C*"&'i"*

    • C*"&'i"* $*3%e

    • A%&e'a$*

    E e% &i.* "*"&'i"*+ "a$a 0* $e %*( $e!aa$*( e(&> $i(&'i30i$* a %*%a'6* $e &*$a %a "*%0ma e% $e!aa$* $e &e(i# m>( 3a=a (e e"0e&'ae a% .a'&e i&e'a m>( "e'"a a% H"%e* ai(%a$* $e% H"%e*+ $e% $e&e(i# m>( e%e!a$a+ .*' me$i* $e &03*( ai(%a&e( "a' 3a/0e%ia$*+3a/0e%i&a+ e&"

    E %a $i(.*(i"i# $e "*"&'i"* $*3%e+ e% $e!aa$* $e &e(i# m>( $e3a=a (e $i!i$e e $*( mi&a$e( $i(.0e(&a( 'e(.e"&i!ame&e a% i&e'i*' a%e@&e'i*' 0* $e *&'*

    E e% %%ama$* &i.* a%&e'a$*+ %*( $*( $e!aa$*( e(&> (03$i!i$i$*( "a$a0* e 0a "i&a Hme'* $e 3*3ia( /0e e(&> $i(.0e(&a( e %a("*%0ma( e )*'ma a%&e'a$a

    La "*(i$e'a"i*e( /0e *'ie&a $e($e e% .0&* $e !i(&a $e $i(e,*+ %a$i(.*(i"i# $e %*( $e!aa$*(+ (* a/0e%%*( 'e)e'e&e( a% e)'iamie&*+ e%ai(%amie&*+ %a 'ea"&a"ia $e $i(.e'(i# a %*( e()0e'*( me">i"*(

    C* 'e%a"i# a %*( ai(%amie&*(+ %a (*%0"i# m>( "*!eie&e %a'e.'e(e&a e% &i.* "*"&'i"* (im.%e+ .*'/0e 'e/0ie'e $e 0a (*%a "a.aai(%a&e e&'e %*( $*( $e!aa$*(+ .*' %* /0e e(&a $i(.*(i"i# e(

    !e&a=*(a e e% "a(* $e &e(i*e( e%e!a$a(

    E% %%ama$* "*"&'i"* $*3%e &iee %a .'e''*6a&i!a $e $a' %06a' a %a'ea"&a"ia $e $i(.e'(i# "* !a%*' $e a%'e$e$*' $e %a mi&a$ $e a/0e%'e%a&i!* a% "*"&'i"* (im.%e E% &i.* a%&e'a$*+ e "am3i*+ .e'mi&e!a'ia' &a%e( 'ea"&a"ia(+ 'e.a'&ie$* e )*'ma $i(&i&a %a( .*(i"i*e( $e%a( 3*3ia( $e %*( $*( $e!aa$*( .a'a %*( e()0e'* me">i"*( (*

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    me=*' %a( $i(.*(i"i*e( $e &i.* a%&e'a$*+ .0e( .e'mi&e /0e e%&'a()*'ma$*' (*.*'&e me=*' %*( e()0e'*( me">i"*(

    Con"trucción de lo" de'anado".

    C*m* (e i$i"# a&e'i*'me&e+ %*( "*$0"&*'e( 0(a$*( .a'a %a"*(&'0""i# $e %*( $e!aa$*(+ .0e$e (e' $e a%am3'e "i'"0%a' "*m* 0$i>me&'* "*m.'e$i$a e&'e 2 4 mm * 3ie (*%e'a $e $i(&i&a(me$i$a(

    Se6H (ea e% &i.* $e %a( e(.i'a( $e %a( 3*3ia(+ (e .0e$e "*(&'0i' e$*( )*'ma(

    • e%i"*i$a% "*&i0a

    C* 3*3ia( (e.a'a$a( $i("*i$a%e(La( 3*3ia( i"a E(&e &i.* $e "*(&'0""i# &iee "ie'&* &i.* $e%imi&a"i*e(+ e "0a&* a% ai(%amie&* (e 'ee'e+ aH "0a$* (e .0e$e"*(&'0i' e !a'ia( "a.a(+ .*' %* /0e (0 .'>"&i"a (e %imi&a a %*($e!aa$*( $e 3a=a &e(i#

    La "*(&'0""i# $e 3*3ia( $i("*i$a%e( .a'a $e!aa$*( "* 3*3ia(

    (e.a'a$a(+ 6ee'a%me&e (e @imae&'e e(.i'a( $e "a.a( a$a"e&e( a 0a !a%*' e&'e 2 !*%&(+"* e(&* (e e(.e'a /0e e 6ee'a%+ (#%* e "a(*( e@"e."i*a%e(+ e%!*%&a=e .*' 3*3ia (ea "0a$* m0"

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    E &'a()*'ma$*'e( $e ma*' .*&e"ia (#%* e@"e."i*a%me&e+ (e.0e$e $i!i$i' e% $e!aa$* $e 3a=* !*%&a=e e $*( .a'&e(+ $e mae'a /0e0* /0e$e "e'"a* a% H"%e* %a *&'a (e "*%*/0e (*3'e e% $e!aa$* $e%a&a &e(i#+ e( $e"i'+ e( 0 $*3%e "*"&'i"*

    La $i(.*(i"i# $e %*( $e!aa$*( "*"&'i"a+ e( %a /0e &iee 0 ma*'"am.* $e a.%i"a"i#

    C0a%/0ie'a /0e (ea e% &i.* $e $e!aa$*+ %a "*(&'0""i# $e %a( 3*3ia((e (i"*( (e e)e"&Ha(e.a'a$* "*!eie&eme&e %a( "*%0ma(+ e&'e %a( "0a%e( (ei&e'.*e a%60a( !e"e( (e.a'a$*'e( * $ia)'a6ma( $e "a' &'a&a$* *3ie $e 3a/0e%i&a

    E% ai(%amie&* e@&e'* e&'e %a( )a(e(+ (e %*6'a .*' me$i* $e %a(3*/0i%%a( a %a( /0e (e "*e"&a %a( &e'mia%e( $e %*( $e!aa$*(

    Cone+ione" de lo" de'anado".

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    C0a$* (e "*(&'0e 0 $e!aa$*+ (e .0e$e 3*3ia' e e% (e&i$* a %a$e'e"/0ia( e%"&'i"a+ $e3e (e' $e a%&a"*$0"&i!i$a$+ a /0e "* e%%*( (e )a3'i"a %a( 3*3ia( L*( 'e/0i(i&*()0$ame&a%e( /0e $e3e "0m.%i' %*( ma&e'ia%e( "*$0"&*'e(+ (* %*((i60ie&e(:

    1 La m>( a%&a "*$0"&i!i$a$ .*(i3%e

    2 E% me*' "*e"ie&e .*(i3%e $e &em.e'a&0'a .*' 'e(i(&e"iae%"&'i"a

    Ua a$e"0a$a 'e(i(&e"ia me">i"a

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    4 De3e (e' $0"&i3%e( ma%ea3%e(

    5 De3e (e' )>"i%me&e (*%$a3%e(

    8 Tee' 0a a$e"0a$a 'e(i(&e"ia a %a "*''*(i#

    La 'e(i(&i!i$a$ * 'e(i(&e"ia e(.e""a+ a% &e(i# $i('0.&i!a+ %a.e'mi&i!i$a$ %a ( a)e"&a %a !i$a $e %*( ai(%amie&*(+ e( %a

    &em.e'a&0'a $e *.e'a"i# $e %a( m>/0ia( e%"&'i"a(+ e(&a &em.e'a&0'ae(&> .'*$0"i$a .'i"i.a%me&e .*' %a( .'$i$a( e e% "a(* e(.e""*$e %*( &'a()*'ma$*'e(+ $0'a&e (0 *.e'a"i#+ e(&a( .'$i$a( e(&>%*"a%ia$a( e %*( (i60ie&e( e%eme&*( .'i"i.a%e(:

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    'e.'e(e&a' 0a )0e&e im.*'&a&e $e e%e!a"i# $e &em.e'a&0'a .a'a %*($e!aa$*+ e(&a e%e!a"i# $e &em.e'a&0'a .0e$e .'*$0"i' e)e"&*( e %*(ai(%amie&*( $e %*( .'*.i*( $e!aa$*(+ * 3ie e %*( ai(%amie&*( e&'e$e!aa$*( e% H"%e*+ .*' e(&a 'a#+ e( (iem.'e im.*'&a&e /0e &*$*(%*( ai(%amie&*( e&'e $e!aa$*( e% H"%e*+ .*' e(&a 'a#+ e( (iem.'e

    im.*'&a&e /0e &*$*( %*( ai(%amie&*( e(e ma&e6a $e&'* $e %*(%mi&e( $e &em.e'a&0'a /0e 6a'a&i"e (0 "*''e"&a *.e'a"i#+ (i .e'$e'(0 e)e"&i!i$a$

    C*m* %a e%e!a"i# e %a &em.e'a&0'a $e.e$e &am3i $e %a "a'6a e%a( m>/0ia( $e&'* $e (0( %mi&e( $e "a'6a * "a'6a3i%i$a$e(&a3%e"i$*(+ .a'a a( 'e(.e&a' %*( %mi&e( $e &em.e'a&0'a $e (0ai(%amie&*(

    E (0 '6ime *mia% $e *.e'a"i#+ 0 &'a()*'ma$*' &iee

    e(&'e"

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    Ua $e("'i."i# 3'e!e $e e(&*( ma&e'ia%e( (e $a a "*&i0a"i#:

    Cla"e ( 

    E(&e ai(%mie&* "*(i(&e $e ma&e'ia%e( * "*m3ia"i*e( $e ma&e'ia%e(+

    &a%e( "*m* a%6*$#+ (e$a .a.e% (i im.'e6a'

    Cla"e A

    E(&e ai(%amie&* "*(i(&e $e ma&e'ia%e( * "*m3ia"i*e( $e ma&e'ia%e(&a%e( "*m* e% a%6*$#+ (e$ a .a.e% "* a%60a im.'e6a"i# *'e"03'imie&* * "0a$* (e (0me'6e e $ia%"&i"*( %/0i$*( &a%e( "*m*a"ei&e O&'*( ma&e'ia%e( * "*m3ia"i# $e ma&e'ia%e( /0e "ai6a $e&'*$e e(&*( %mi&e( $e &em.e'a&0'a+ .0e$e "ae' $e&'* $e e(&a "a&e6*'a

    Cla"e E

    E(&e ai(%amie&* "*(i(&e $e ma&e'ia%e( * "*m3ia"i*e( $e ma&e'ia%e(/0e .*' [email protected]'ie"ia * .*' .'0e3a(+ .0e$e *.e'a' a &em.e'a&0'a(

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    Cla"e C

    E(&e ai(%amie&* "*(i(&e $e ma&e'ia%e( * "*m3ia"i*e( $e ma&e'ia%e(&a%e( "*m* %a mi"a+ %a .*'"e%aa+ !i$'i*+ "0a%* "* * (i a6%0&ia&e(

    METODOS DE ENFRIAMIENTO DEL TRANSFORMADOR

    La (e%e""i# $e% m&*$* $e e)'iamie&* $e 0 &'a()*'ma$*' e( m0im.*'&a&e+ a /0e %a $i(i.a"i# $e% "a%*'+ "*m* a (e me"i*# a&e(+i0e m0"'ea $e (0 i(&a%a"i# (0 "*(&*+ De a"0e'$* a %a( *'ma(ame'i"aa( ASA C57194- (e

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     T'a()*'ma$*' (0me'6i$* e a"ei&e "* e)'iamie&* a&0'a%+ e e(&*(&'a()*'ma$*'e( e% a"ei&e ai(%a&e "i'"0%a .*' "*!e""i# a&0'a% $e&'*$e 0a &a/0e /0e &iee .a'e$e( %i(a( * "*'06a$a( * 3ie .'*!i(&*( "*&03*( 'a$ia$*'e( E(&a (*%0"i# (e a$*.&a .a'a &'a()*'ma$*'e( $e m>($e 5 ;VA "* !*%&a=e( (0.e'i*'e( a 15 ;V

    Ti$o OA=FA

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    Ti$o OA=FOA=FOA

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    C* e(&e &i.* $e e)'iamie&* (e &'a&a $e i"'eme&a' e% '6ime $e*.e'a"i# "a'6a $e &'a()*'ma$*' &i.* OA .*' me$i* $e% em.%e*"*m3ia$* $e 3*m3a( !e&i%a$*'e( E% a0me&* $e %a "a.a"i$a$ (e

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    Ti$o FO>

     T'a()*'ma$*' (0me'6i$* e %/0i$* ai(%a&e "* e)'iamie&* $e a"ei&e)*'a$* "* e)'ia$*'e( $e a60a )*'a$a E(&e &i.* $e &'a()*'ma$*'e(e( .'>"&i"ame&e i60a% /0e e% FO+ (#%* /0e e% "am3ia$*' $e "a%*' e( $e%

    &i.* a60a a"ei&e (e

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    i&e'me$ia( $e %a )a3'i"a"i#+ "0a$* e% &'a()*'ma$*' e(&> e .'*"e(*$e a'ma$* * 3ie $e(a'ma$* (e6H (ea e% "a(* e% &i.* $e .'0e3a($e.e$e $e% .'*.#(i&* $e %a 'e.a'a"i# * %a e&a.a $e )a3'i"a"i#+ .*' %*6ee'a% (e

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    /0e 'e"*mie$a /0e .'0e3a( e /0e *'$e (e $e3e 'ea%ia'+ a( "*m* "0a$* (e $e3e e)e"&0a'

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    !rue%a de ri&ide8 diel:ctrica del aceite.

    E(&a .'0e3a (e

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    a.%i"a$* e&'e e%e"&'*$*( (e $a' (e $e3e e(.e'a' a%'e$e$*' $e 2 mi0&*( .a'a .e'mi&i'/0e (e e%imie %a( 30'30=a( $e ai'e $e% a"ei&e a&e( $e a.%i"a' e%!*%&a=e e% !*%&a=e (e a.%i"a ee'6ia$* e% a.a'a&* .*' me$i* $e 0

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    La 'e(i(&e"ia $e ai(%amie&* $e 0 &'a()*'ma$*' (e mi$e e&'e %*($e!aa$*( "*e"&a$*( &*$*( e&'e (+ "*&'a e% &a/0e "*e"&a$* a&ie''a e&'e "a$a $e!aa$* e% &a/0e+ "* e% 'e(&* $e %*( $e!aa$*("*e"&a$*( a &ie''a

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    • E&'e %*( $e!aa$*( $e %a&* !*%&a=e 3a=* !*%&a=e "*e"&a$* e&'e(i+ "*&'a e% &a/0e

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    • A%&* !*%&a=e .'ima'i* V( Ta/0e "* %*( $e!aa$*( $e 3a=*

    !*%&a=e (e"0$a'i* me$i* !*%&a=e &e'"ia'i* a &ie''a

    • Me$i* !*%&a=e &e'"ia'i* V( Ta/0e "* %*( $e!aa$*( e a%&*!*%&a=e 3a=* !*%&a=e a &ie''a

    • Ba=* !*%&a=e (e"0$a'i* V( Ta/0e+ "* %*( $e!aa$*( $e a%&*!*%&a=e me$i* !*%&a=e a &ie''a

    • A%&* !*%&a=e me$i* !*%&a=e =0&*( V( Ta/0e+ "* e% $e!aa$* $e3a=* !*%&a=e a &ie''a

    • A%&* !*%&a=e [ me$i* !*%&a=e [ 3a=* !*%&a=e V( Ta/0e

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    L?NEA DE TRANSMISI*N SIN !@RDIDAS

    CON FUENTES DE E)CITACI*N

    SINUSOIDAL

    C* )'e"0e"ia %a( %ea( $e &'a(mi(i# (* e@"i&a$a( .*' )0e&e( $e(e,a%e( /0e !a'a (i0(*i$a%me&e e e% &iem.*+ $e mae'a /0e e%!*%&a=e %a "*''ie&e e "0%0ie' .0&* $e %a %ea &am3ie !a'a(i0(*i$a%me&e e e% &iem.* A$em>(+ *$a i"i$e&e+ a% i60a%/0e "0a$* (e &iee 0a %ea $e %*6i&0$ i&a /0e &e'mia e 0aim.e$a"ia $e "a'6a PL i60a% e !a%*' a %a im.e$a"ia "a'a"&e'(&i"a $e%a %ea E e% .'ime' "a(* %a *$a (e .'*.a6a i$ei$ame&e+ mie&'a(/0e e e% (e60$* "a(*+ *

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    i&e'.'e&a' "*m* )*'ma$*( .*' *$a( /0e (e .'*.a6a e (e&i$*("*&'a'i*(+ e( $e"i'+ "*m* (0ma $e 0a *$a i"i$e&e *&'a 'ee=a$a:E *&a"i# )a(*'ia%+ %a am.%i&0$ %a )a(e $e %a( *$a( $e !*%&a=e "*''ie&e e 0 .0&* $e %a %ea /0e $i(&a 0a $i(&a"ia $e %a e&'a$a!iee $a$a( .*' %a( ma6i&0$e( "*m.%e=a(

    $*$e γ   =β e( %a "*(&a&e $e .'*.a6a"i# "*m.%e=a .a'a %ea( $e&'a(mi(i# (i .'$i$a(+ /0e $e.e$e $e %a )'e"0e"ia E% )a"&*' e =Q&

    .0e$e *mi&i'(e a /0e &a&* e% !*%&a=e "*m* %a "*''ie&e e "0a%/0ie'

    .0&* $e %a %ea *("i%a a %a mi(ma )'e"0e"ia * .0%(a"i# $e %a (e,a%(i0(*i$a% $e% 6ee'a$*'E %a .'>"&i"a+ %a ma*'a $e %a( me$i$a( H&i%e( (e &*ma 'e(.e"&* a%

    e@&'em* 'e"e.&*'+ e( $e"i'+ "* 'e(.e"&* %a "a'6a ?*' &a&*+ im.*ie$*%a( "*$i"i*e( e %*( &e'mia%e( $e (a%i$a+ e( $e"i' (0.*ie$* /0e %a%ea $e %*6i&0$ L &e'mia e 0a im.e$a"ia PL .*' %a /0e "i'"0%a 0a"*''ie&e IL  "* 0 !*%&a=e VL+ (e .0e$e "**"e' &a&* Vi "*m* V'  e)0"i# $e e%%*(:S0(&i&0e$* e(&a( (*%0"i*e( e %a( e@.'e(i*e( 21 .*$'em*( "**"e'e% !*%&a=e %a "*''ie&e e "0a%/0ie' .0&* $e %a %ea e )0"i# $e%!*%&a=e %a "*''ie&e e %a (a%i$a $e %a %ea: