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EL TRANSFORMADORMONOFÁSICO
PROFESOR : ING. CHAVEZ VIVAR JAVIER
ALUMNOS : ANCCO FUENTES FRANCIS MANUE20157007K
USURIAGA OBREGON ROYSE ENRIQUE20165041J
ARAUJO ARAUJO OMAR 20101197I
SALINAS PONCE HELDERG JOHAN 20080123A
PALACIOS AGUIRRE ROBERTO 20080252F
2016-1
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INTRODUCCION
Un transformador es un ds!"s#$" %ue &'()' *' !"#en&'
e*+&#,&' '*#e,n' &"n un n$e* de $"*#'-e ' !"#en&' e*+&#,&''*#e,n' &"n "#," n$e* de $"*#'-e (ed'n#e *' '&&.n de un &'(!"('/n+#&""ns#' de d"s " (s )")n's de '*'(),e &"ndu&#", en,"**'d's'*,eded", de un n&*e" e,,"('/n+#&" &"(n Es#'s )")n'sn",('*(en#e n" es#n &"ne&#'d's en ",(' d,e&#' L' n&'&"ne.n en#,e *'s )")n's es e* u-" ('/n+#&" &"(n %ue seen&uen#,' den#," de* n&*e"Un" de *"s de$'n'd"s de* #,'ns",('d", se &"ne&#' ' un' uen#ede ene,/' e*+&#,&' '*#e,n' e* se/und" %u; e* #e,&e,"su(ns#,' ene,/' e*+&#,&' ' *'s &',/'s E* de$'n'd" de*#,'ns",('d", %ue se &"ne&#' ' *' uen#e de !"#en&' se **'('devanado primario " devanado de entrada< e* de$'n'd" %ue se&"ne&#' ' *' &',/' se **'(' devanado secundario " devanado desalida
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OBJETIVOS
=e#e,(n', *" !',(e#,"s de* &,&u#" e%u$'*#,'ns",('d", ("n"s&" !',' "!e,'&.n ' #ens"nes n"(n'*es
P,"n"s#&" de* &"(!",#'(en#" de* #,'ns",('d",u#*;'nd" e* &,&u#" e%u$'*en#e
=e#e,(n'&.n de *'s &','&#e,s#&'s de ,e/u*'&.n
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FUN=AMEN>O >E?RIO
Se den"(n' #,'ns",('d", ' un' (%un' e*+&#,&' %ue!e,(#e 'u(en#', " ds(nu, *' #ens.n en un &,&u#" e*+&#,&"de &",,en#e '*#e,n'< ('n#enend" *' ,e&uen&' L' !"#en&' %uen/,es' '* e%u!"< en e* &'s" de un #,'ns",('d", de'*< es#" es<sn !+,dd's< es /u'* ' *' %ue se ")#ene ' *' s'*d' L's(%un's ,e'*es !,esen#'n un !e%ue@" !",&en#'-e de !+,dd's<de!endend" de su dse@"< #'('@"< e#&
L"s #,'ns",('d",es s"n ds!"s#$"s )'s'd"s en e* en.(en" de*' ndu&&.n e*e&#,"('/n+#&' es#n &"ns##ud"s< en su ",('(s s(!*e< !", d"s )")n's de$'n'd's s"),e un n&*e" &e,,'d"de e,," du*&e " e,," s*&" L's )")n's " de$'n'd"s seden"(n'n !,(',"s se&und',"s se/n &",,es!"nd'n ' *'en#,'d' " s'*d' de* ss#e(' en &ues#.n< ,es!e&#$'(en#e
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FUNCIONAMIENTO DE UNTRANSFORMADOR
S se '!*&' un' ue,;' e*e&#,"("#,; '*#e,n' en e*de$'n'd" !,(',"< *'s $','&"nes de n#ensd'd sen#d"de *' &",,en#e '*#e,n' &,e',n un &'(!" ('/n+#&" $',')*e de!endend" de *' ,e&uen&' de *' &",,en#e Es#e&'(!" ('/n+#&" $',')*e ",/n',< !",ndu&&.n e*e&#,"('/n+#&'< *' '!',&.n de un' ue,;'e*e&#,"("#,; en *"s e#,e("s de* de$'n'd" se&und',"
L' ,e*'&.n en#,e *' ue,;' e*e&#,"("#,; ndu&#",' E!< *''!*&'d' '* de$'n'd" !,('," *' ue,;'e*e&#,"("#,; ndu&d' Es< *' ")#end' en e* se&und',"<es d,e&#'(en#e !,"!",&"n'* '* n(e," de es!,'s de *"sde$'n'd"s !,('," N! se&und'," Ns
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ENSAYO EN LA RELACION DETRANSFORMACION
"ne&#', e* 'u#"#,'ns",('d", C','& '* *'d" de )'-' #ens.n#,'ns",('d", *ue/" ,e/u*', e* $"*#'-e de s'*d' de* 'u#"#,'nse(!e;'nd" de 220 ds(nuend" &'d' 10 $"*#"s 's#' 180
VBT
222212
1!!."
1#1
1#0.$
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ENSADO =EL CAIO
A,(', e* &,&u#" de *' /u,' 'd-un#'< '-us#'nd" e* 'u#"#,'ns"$',', *' #ens.n 's#' %ue e* $"*#(e#," nd%ue e* $'*", n"(
Med'n#e e* (s(" !,"&es"< ,edu&, *' #ens.n desde 110 den"(n'* 's#' &e," $"*#"s ,e/s#,', 10 *e&#u,'s de &",,en#e!"#en&'
V1 V2 I %BT&
126.1 242 02811".1 221 02210+.# 19911 018
!2 1767 016#0.6 1546 0146#.# 132 012",., 1108 012$6.2 887 01+$." 663 0082+.+2 447 007
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MUD PEGUEHO
PARÁMETROS DE VACO DEL MODELO CI
V ∆
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ENSADO =E OR>OIRUI>O
U#*;'nd" e* es%ue(' de *' /u,' 'd-un#'< ' !',#, de &e," $
'u(en#', /,'du'*(en#e *' #ens.n 's#' *"/,', *' &",,en#e n*'d" de 220$
Re/s#,', *'s *e&#u,'s de #ens.n< &",,en#e *'s !e,dd's en &!", e* $'#(e#," en &"nd&"nes de &",,en#es n"(n'*es
'()', *' &",,en#e de* *'d" de 220 $"*#"s en e#'!'s desde 70 de *' &",,en#e n"(n'* ,e/s#,', *'s *e&#u,'s de *"s ns
V1 I %AT& I %BT
2,.,2 1926 2852".0! 1787 2642+.#, 1622 2421.,2 1458 2211!.,# 1315 2001#.1$ 1197 18216.0, 1057 1591$.1+ 922 142412.02 788 12210.1# 669 103
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CONDICI/N Se &",#"&,&u#' &u'*%ue,' de *"s *'d"s de* #,'" se '*(en#' !", e* "#," *'d" &"n su !*en' &',/' IN
V Lee C1 $"*#'-e de &",#" &,&u#" A Lee I1N
' Lee !e,dd's n"(n'*es en e* &"),ePN&uNOTA. E V IN 345*4 4 78 9 *4:74;< )4 VN )4
3548=3>8 % I< ? P(4 <8 *4:74; ?
)4*43@4&
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P',' es#' !,ue)' se #ene:
e%1#,'"
D4=45383>8 )4 < *54=< )4<=< )4 5<)4< 373=
D<8)4
2
2
11
2
2
11
.
.
d d eq
eq
X a X X
Ra R R
+=
+=
2
2
1
2
1
1
1
2
1
2
11
111
2
1
11
2
1 .
−
=∴
−=
+=
=→=
N
NCu
N
CC
eq
eqeqeq
eqeqeq
N
NCu
eqeq N NCu
I
P
I
V X
R Z X
jX R Z
I
P R R I P
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NOTA. *"s $'*",es de R1< R2< d1 d2 !',' e* ("de*" &,&u#'*e'&#"< se de#e,(n' en ",(' '!,"('d':
Se s')e %ue:
Se &"nsde,' %ue:
Se s')e %ue:
Se &"nsde,' %ue:
2
2
11 . Ra R Req +=
2
2
1 Ra R ≈
2
1
1
eq R R =∴
2
1
2
.2 a
R R
eq=
2
2
11 . d d eq X a X X +=
2
2
1 d d X a X ≈
2
1
1
eq
d
X X =∴
2
1
2
.2 a
X X
eq
d =
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ENSADOS ON ARA
"n e* &,&u#" 'n#e,", desene,/;'d"< &"ne&#', ' *' s'*d' *'de &',/' E&#', e* #,'ns",('d", ' *' #ens.n ,e&uen&'s n
A-us#', e* $'*", de *' ,ess#en&' de &',/' !',' ")#ene, 5 $'*"&",,en#e en e* se&und'," en un ,'n/" de 20 '* 100 de *' n"(n'* se&und','< ,e/s#,'nd" *' #ens.n se&und',' *'s *ede(s ns#,u(en#"s
=es&"ne&#', *' &',/' (ed, *' #ens.n de* !,('," !',' *"s 'n"#'d"s en *'s de,en#es &"nd&"nes de &',/'s -'d's 'n#e
Re!e#, *"s !'s"s 'n#e,",es &"ne&#'nd" en !','*e*" un ("#",110 $"*#"s &"n un &"ndens'd",
V1 I %AT& 'I %BT
5<=<&R %<5&
I %BT43=483&
22" 326 684 166 227 4422$.6 386 825 165 188 54422$.+ 426 980 165 17 656
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1.A :7 4 )4@4 )3(4483 48=4 < 47=)< <@54)3 43=483 )4 < <5348=< <8 4 57<8 4 5=<)< 45*4)< C7 4 5 <8@4
L' de,en&' %ue es#e en#,e *'s (edd's #"('d's !", '((+#"d"s ,'d&' en *' e'&##ud !,e&s.n de &'d' un" de,ess#en&' n#e,n' de* (u*#(e#," es#e /ene,' un ('", es uese &'*&u*'d" !", de,en&' de #ens.n
Es ('s &"n')*e e* (+#"d" de &'*&u*" de ,ess#en&' en =
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D4 *74@ )4 43>8 )4 =8(<53>8 4=8(<53>8 V <=K4 )4 48=) ? 4*3 < 47=
se/n se !uede $su'*;', en *' /,'&' *' ,e*'&.n de #,'ns",'u(en#' ' (edd' %ue se ds(nue e* $"*#'-e '!*&'d" en >'!,"(nd"se ' su $"*#'-e n"(n'* de >
1780 1790 1800 1810 1820 1830 1840170
180
190
200
210
220
230
C $s '
Re*'&"n de #,'ns",('&.n
$"*#'-e de >
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D4 48?< )4 < = 7 )4 (=< )4 *<=483 C<%&*<=483 <8753) P %& ? <348=4 48 < I %A& <5< (783<84)4 =483>8 )4 3548=3>8 3535< 7 43>8 =8(<53>8.
0 20 40 60 80 100 120 1400
10
20
30
40
50
60
70
80
90
d! $s C>
#ens"n de '*(en#'&"n en >
d!
0 20 40 60 80 10
5
10
15
20
25
P $s C>
#ens"n de '*(en#'&"
P"#en&' &"nsu(d'
0 20 40 60 80 100 120 1400
005
01
015
02
025
03
I $s C>
>ens"n de '*(en#'&"n de >
",,en#e de $'&" A
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D4 48?< )4 <=<373=< *=3 )4 4=7 *<=48<8753) P %& =483>8 )4 35*4)83 V %V& ? 4 (=< )4 *)4 <=<373=< C< %&9 <5< (783<84 )4 <348=4 )4 <=<I %A&
4 5 6 7 8 9 101112131415161718192021
P&& $s I&& >
",,en#e de &",#"&,&u#"
Pe,dd's en e* &"),e
6 7 8 9 10 11 12 19
14
19
24
29
C&& $s I&& >
",,en#e de
>ens"n de &",#"&,&u#"
5 7 9 11 13 15 17 19 21
50
60
70
80
90
100
d!&& $s I&& >
",,en#e de &",#"&,&u#"
d! &&
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OSERCAIONES D ONLUSIO
L' !,ue)' &"n &',/' !e,(#e de#e,(n', *' &'d' de #ens.se&und'," de)d' ' *' &',/' 'd&"n'*< !',' de#e,(n', *''&e, *'s &"(!ens'&"nes de* &'s"< de #'* ",(' %ue e* #,'se(!,e en#,e/ue e* (s(" $"*#'-e
L' e&en&' de un #,'ns",('d", es *' ,e*'&.n en#,e *' &'ene,/' %ue en#,e/' e* #,'ns",('d", ene,/' #* en#,e *'ene,/' %ue se *e en#,e/' '* #,'ns",('d", n&*uend" *'s'*#' #,')'-'nd" &"n $'*",es n"(n'*es< *"s &u'*es 'se/u,'n#,'nse,en&' de ene,/'
En e* #,'ns",('d", u#*;'d"< &u'nd" se **e/' ' *'s &"nd&n"(n'*es en e* $"*#'-e de en#,'d'< n" se ")#ene *' &",,ees#e un' (n(' de,en&' de* $'*", ")#end" e!e,(en*' !*'&'< " e* #e.,&" Un" de *"s ("#$"s se de)e '* des/'s#,'ns",('d",< *" &u'* #'()+n '&e %ue 'u(en#e *' !"#en!+,dd's
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REOMEN=AIONES
L' !,ue)' de &",#"&,&u#" $e,&' (de *'s !e,dd's !", en *"s de$'n'd"s es ,e&"(end')*e '&e, *' !,ue)' !", e*
#ens.n< '&e,*" des!u+s de un #e(!" de us" ' %ue 's#'n des/'s#'d"s es#n es#"s
=e)e("s n"#', %ue *' ((' e&en&' ' !*en' &',/' se &u'nd" *'s !+,dd's en e* e,," se' /u'* ' *'s !+,dd's en
Es#'s !+,dd's en e* &"),e se de)e ' *'s $e,d'de,'s !+,dd J"u*e en *"s de$'n'd"s ' *'s !+,dd's 'd&"n'*es !", &",!',s#'s %ue '!',e&en den#," de *"s de$'n'd"s
"(" e* #,'ns",('d", es de '*#' e&en&' !", *" /ene,''n"#', *' e&en&' &"(" d'#" de !*'&'< se,' )uen" '&e
=u,'n#e *' e!e,en&' de *')",'#"," !ud("s ")se,$', %uus'n '*#'s &",,en#es en e* ens'" de &",#"&,&u#" se !uede%u!"< "*' ' %ue('d"< !", es" se,' (e-", #,')'-', &"n)'-'s den#," de* ,'n/" &"n$enen#e
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