Post on 22-Feb-2018
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AREQUIPA, 06 DE OCTUBRE DEL 2015
UNIVERSIDAD NACIONAL SAN AGUSTIN DE
AREQUIPA
FACULTAD DE PRODUCCION Y SERVICIOS
IDIOMA INGLESING: CARLOS PACHECO
GRUPO: 10
INTEGRADO POR:
- SONCCO MAMANI JORGE
-ENRIQUEZ CHOQUE DAVID
-RIOS CHAMPI JIMMY
-VILLA FIGUEROA JIMMY
-ANCHAISE CJUNO EFRAIN
-CACERES LAZARO LEONARDO
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5.9.5 Pruebas de Respuesta e Fre!ue!"a Stadst"## $%parada&'
5.9.5.( Itr)du!!"*
Cortocircuito y ru!"# $! $!cr!%!&to r!'!&t#$o !& (#' '!ccio&!' 5)*)+ y
5)*) roorcio (#' -u&cio&!' $! tr#&'-!r!&ci# $! '!.u&$o or$!& $!
i&$uct#&ci#' $/ y /!!' o!r#cio(!' L$'3, L'33) Si& !%"#r.o, (# -u&ci4&
$! tr#&'-!r!&ci# # #r%#$ur# $! c#%o, G '3, $!"!r# t!&!r'! !& cu!&t#
cu#&$o '! $!&!7
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Mo$!(o $! (# %8ui y (# !'tructur# #r# !( %o$!(#$o r!ci'o $! (o'
!-!cto' $!( circuito $! c#%o y $! !9cit#ci4&)
Por otr# #rt!, $!!&$i!&$o $! (# co&'trucci4& $!( rotor, circuito'
!ui:#(!&t!' $! or$!& 'u!rior #( $! Mo$!(o 2)2 :;#'! !( Cu#$ro 5)23
u!$! '!r %8' #roi#$o !& #(.u&o' c#'o')
Co& !( & $! r!#(i
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Do&$! R# !' (# r!'i't!&ci# $! corri!&t! co&ti&u# $! u -#'! i&$uci$o y '
H)
L# -u&ci4& 'G '3 !& (u.#r $! G '3 '! uti(i
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E( roc!$i%i!&to #r# (# i$!&tic#ci4& $! #r8%!tro' $! !! $ $! SS=R '!
u!$! r!'u%ir co%o Si.u! @2,507
1) L# %!or !'ti%#ci4& $i'o&i"(! #r# (# i&$uct#&ci# $! -u.# $!( i&$uci$o L
!' !( :#(or
Su%i&i'tr#$o or !( -#"ric#&t!)
2) O"t!&!r L$ 03, !( (%it! $! "## -r!cu!&ci# $!( L$'3, # co&ti&u#ci4&,
$!t!r%ir
+) A %!$i$# u! !( L#$ 03 '! $!t!r%i, %!$i#&t! !( u'o $! F#-o'3, (#
#r%#$ur# c#%o/#/ co&:i!rt! r!(#ci4& u!$! '!r !&co&tr#$o co%o7
FIGURA 5.1(
L#' r!'u!'t#' tic#' $! (#' ru!"#' $! SS=R) $a'L$ r!'u!'t# H3J $b'Lr!'u!'t# H3J
$!'KG H3 r!'u!'t#
P#r# u $i'cu'i4& 'o"r! (o' -#ctor!' u! '! uti(i
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) C#(cu(#r (# r!'i't!&ci# $! c#%o # u! '! r!!r! !( $!:#$o $!
i&$uci$o
5) E(i# u !'tructur# $! circuito !ui:#(!&t! #r# !( !! $)
6) Uti(ic! (o' #r8%!tro' $i'o&i"(!' y u t;c&ic# r#cor #r# >#((#r (o'
:#(or!' $! (o $!'co&oci$o #r8%!tro' u! ro$uc!& !( %!or #u't! #r#
L$'3 y SG '3)
) Au't#r L#$ # 'u :#(or i&'#tur#$o') L#' Pru!"#' SS=R '! r!#(i#ci# #rri"# #r# (o.r#r
u i&'#tur#$o %o$!(o #r# (# %8ui) E( :#(or &o '#tur#$o $! L#$ u!$!
c#(cu(#r'! # #rtir $! (# cur:# $! :!(oci$#$ &o%i( !& !( circuito #"i!rto@27
D)de
t yIfd$!&! u& u&to $! (# '!#r#ci4& $! #ir! (&!#
K !' (# :!(oci$#$ !(;ctric# !& r#$i#&!' or '!.u&$o
t !' (# (&!# # &!utro t!&'i4& $! ico y i-$ !'t8 !& L$#u $c A) L#$
!' 'u'titui$# or !u!o !& $/!! circuito !ui:#(!&t! SS=R
c#(cu(#$o # #rtir $! (o' $#to') L# u!$! #u't#r'! # 'u :#(or &o
'#tur#$o, %u(ti(ic#&$o or L#$u?L$#!' $!cir, !( %i'%o -#ctor
uti(i
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D)de
R=T !' (# r!'i't!&ci# !& !( c#%o %!$i$o # !($ (o' t!r%i(!'
tt !' c#%o ro%!$io t!%!r#tur# $ur#&t! (# %!$ici4& C3 t'
!' (# t!%!r#tur# !'!cic#$# C3
'! $!&! !& (# !cu#ci4& 5,11
Not# u! L#$u y 'u'tituy# (o' #r8%!tro' R= uti(i#&
$!t!r%i$o u! '! u!$# &or%#(i# roo $i-!r!&t!' !&-ou!' #r#
!&-r!&t#r #(.u&o' $! (o' i&co&:!&i!&t!' r!(#cio$o' co& SS=R ru!"#')
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Otr#' t;c&ic#' $! !'ti%#ci4& # #rtir $! (o' #r8%!tro' $! -r!cu!&ci# $!
r!'u!'t# $ur#&t! (o' (ti%o' #o' '! "#'#& !& u& &o i&t!r#cti:# #r8%!tro
$! roc!$i%i!&to $! i$!&tic#ci4& @ + o #tr4& $! "'u!$# %;to$o' @ 2)
Rui$o !'t8 'i!%r! r!'!&t! !& (#' ru!"#' y C#%o u!$!
'i.&ic#ti:#%!&t! i%#cto $! !'ti%#ci4& $! #r8%!tro' $! SS=R $#to'@+) P#r# r!'o(:!r !'t! #'!cto u !'ti%#ci4& $! (# %89i%# :!ro'i%i(itu$
t;c&ic# -u! rou!'t# @ ++7 %o$!(o $! -u&ci4& $! tr#&'-!r!&ci# 'o& r't
$!t!r%i$o %!$i#&t! !( u'o $! u& %;to$o $! %&i%o' cu#$r#$o', u!
(u!.o 'o& tr#&'-or%#$o' !& $o%i&io $! ti!%o (#' r!'u!'t#'J , u
%89i%# :!ro'i%i(itu$ t;c&ic# '! uti(i# tr#"##$o !& (# i& u!&ci# $! (# '#tur#ci4& !& (# !'ti%#ci4& $!
#r8%!tro' $! $#to' SS=R @ 5, #u&u! '! r!co&oc! u! u!$! '!r %uy
i%ort#&t! @+,+* )
U& 'u!to !r%#&!&t! $! $i'cu'i4& ># 'i$o !( or$!& $! (o' circuito'
!ui:#(!&t!') U $! (#' :!&t##' $! (# %#&iu(#ci4& $! $#to' $! -r!cu!&ci#
$! r!'u!'t# !' u! (# co%(!i$#$ $! (o' circuito' !ui:#(!&t!' &o !' o)
#ri#' o"r#' '! >#& $!$ic#$o # #(i#&
$!:#$o #%orti.u#$or !& !( o(o, !( c#%o "o"i$o !& %8ui' $! rotor
ro&$# '! $i'tri"uy! !& (#' ri&ci#(!' %8ui' $! o(o '! co&c!&tr#)
L# o'ici4& $!( rotor $! o(o' '#(i!&t!' $! %8ui' ># 'i$o u& .r#& $!'#-o
cu#&$o '! uti(i
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D)deR# !' !( $c r!'i't!&ci# $!( i&$uci$o)
E( !uio $! ru!"# r!ui!r! %uy (i&!#(, %uy #(t# ot!&ci#
#%(ic#$or Er')
P#r#(i#'t# !& u& 20 !& !( r#&.o $! c#r.# $!
corri!&t! &o%i()
L#' ru!"#' '! >#& ((!:#$o # c#"o !& co&$icio&!' &o '#tur#$o')
L#' -u!r#& 'i$o $!'#rro((#$#' co& !( & $! !:it#r #(.u' $! (#'
$!':!&t##' y (i%it#cio&!' $! (#' ru!"#' o/(i&!) E't#' ru!"#' u!$!& '!r
$o%i&io $! ti!%o o !( $o%i&io $! (# -r!cu!&ci#) A(.u' $! !'t#' ru!"#'
'! r!#(i
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5.9.2.1 Prueba de t"e,p)8d),"") 7ra perturba!"*
U r!!&ti .r#& !rtur"#ci4& !' i&tro$uci$# !& (# t!&'i4& $! r!-!r!&ci#
$! !9cit#ci4& %i!&tr#' (# %8ui !'t8 !& -u&cio%i!&to !& co&$icio&!'
&or%#(!' @5+) L#' :#ri#"(!' r!co.i$#' 'o& t!r%i(!' y c#%o' $!
t!&'io&!', #r%#$ur# y c#%o' $! corri!&t!', #' co%o :!(oci$#$ $!( rotor)
Otro' %;to$o' $! i&t!r&!t '! "#'#& !& u -u&ci4& $! tr#&'-!r!&ci# (i&!#(
%u(ti:#ri#"(! @5, o !( u'o $! u& o"'!r:#$or $! (#' corri!&t!' 'i&uo'#'
%#rio'# @55/ 5)
5.(- ;)de#)s de s",u#a!")es Gra Fre!ue!"a tras"t)r")s
5.(-.( ;)de#)s #"u"da!"*
P!&$i!&t! $! -#c>#$# %u(ti.iro t!&'io&!' tr#&'itori#' $! (#' "o"i' $! (#'
%8ui' .ir#tori#' u!$! '!r c#u'#$# or u& r#yo o or o!r#cio&!' $!
co&%ut#ci4& r8i$# -r!&t! $!(#&t!ro %uy r8i$o o tr#&'itorio' u!$!& '!r
ro$uci$o' or (o' $i'yu&tor!' co& u #(t# corri!&t! $! ic#$o y c##< $!
i&t!rru%ir
L#' corri!&t!' %uy #(t#' -r!cu!&ci#' or !!%(o, (o' $i'yu&tor!' :#co3,
co&'u(t! @5/ 6+) L#' c#r#ct!r'tic#' $! (o' #'#!ro' $!!&$! $! $!(
$i'yu&tor t!c&o(o.#, (#' co&$icio&!' $! -u&cio%i!&to $! (# %8ui y (#'
c#r#ct!r'tic#' $!( 'i't!%# or !!%(o, (# (o&.itu$ $! (# co&!9i4& $!(
c#"(!3)
D!'$! (# u!'t# $! .!&!r#$or!' '&cro&o' &o ocurr!& %uy # %!&u$o, y!'t#' %8ui' !'t8& "i!& rot!.i$#' co&tr# (o' r#yo', (# %#yor# $! (#'
:!c!' !'to' tr#&'itorio', r!(#cio$o' co& c#%"i#r $! .r#&$!' %otor!' $!
c#J !& .!&!r#( (#' %8ui' tio i&$ucci4&)
E& (o u! '! r!!r! # "o"i$o' $! tr#&'-or%#$or :;#'! !( C#tu(o ,
S!cci4& )53, (# $i'tri"uci4& $! t!&'i4& # (o (#r.o $! (# %8ui $!!&$! !&
.r#& %!$i$# $! (iui$#ci4& !( #&8(i'i' $! (# t!&'i4& #(ic#$#7
A "##' -r!cu!&ci#' (# $i'tri"uci4& !' (i&!#( !& (o' $!:#$o'J !& c#'o $!
((!&o (o' tr#&'itorio', (# %#yor #rt! $! (# t!&'i4& #(ic#$# '! $i'tri"uy! !&
!( r't #(.u' :u!(t#' $!( "o"i$o)
#rio' %o$!(o' co%ut#cio(!' >#& 'i$o $!'#rro((#$o' #r# #(i
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Circuito co& &o$o' #$y#c!&t!' !&tr! :u!(t#' $! (# "o"i y !9tr!%o $! (#
co&!9i4& # (# !&tr#$# y (# '#(i$# $! (# "o"i)
2) R#&ur# y '#(i!&t! (3 (#' '!ccio&!' 'o& %o$!(#$o' co%o i/circuito'!ui:#(!&t!' co& #r8%!tro' $!t!r%i$o' or %!$io $! u& ro.r#%# $!
rutiJ R!-) @65 uti(i
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C1, G1 .iro # .iro $! c##cit#&ci# y co&$uct#&ci#
C2, G2 .ir#r/#/ti!rr# c##cit#&ci# y co&$uct#&ci#C+, G+ c##cit#&ci# y co&$uct#&ci# #$icio(!' #r# t!&!r !& cu!&t# (#'
co&$icio&!' (!' !& (# #rt! 'u!rior y (# #rt! i&-!rior $! (# "o"i (#$o'
FIGURA 5
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FIGURA 5.11 Mo$!(o $! (&!# Mu(tico&$uctor co& -r!cu!&ci# (#
$!!&$!&ci# $! #r8%!tro' $! "o"i$o) D! Gu#r$#$o, ) L) IEEE
Co&:!r'i4& $! E&!r.#3
#co(#%i!&to !&tr! (#' "o"i'J 2 3 !( '!.u&$o "(ou! '! "#'# !& r!$!'
C#u!r y =o%!&t#r u! r!r!'!&t#&, r!'!cti:#%!&t!, (# $!!&$!&ci# $! (#-r!cu!&ci# $! (o' #r8%!tro' $! "o"i$o $!"i$o # (# !&!tr#ci4& $! uo
!& !( &c(!o $! >i!rro r!$ $! C#u!r 3 y !( !-!cto $! i!( !& !( co"r!
co&$uctor!' r!$ =o't!r3)
5.(-.+ C/#!u#) de #)s par/,etr)s e#=!tr"!)s
S! >#& uti(ii!rro, !( !-!cto $! (# i!(, y !( #i'(#%i!&to,
r!'!cti:#%!&t!)
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L# #uto/ i&$uct#&ci# $! (# "o"i $!"i$o # (# !&!tr#ci4& $! uo !& !(
&c(!o $! >i!rro or u&i$#$ (o&.itu$ u!$! '!r #ro9i%#$# or
Lic= n
2p
z (5.163)
Do&$!7
X !' (# !r%!#"i(i$#$ $!( >i!rro
& !' !( &%!ro $! :u!(t#' $! (# "o"i
< !' !( !r%!tro r#&ur#
!' (# ro-u&$i$#$ $! !&!tr#ci4&, u! :i!&! $#$# or (# 'i.ui!&t!
!9r!'i4&7
p=
j
(5.164)
Do&$! Y !' (# r!'i'ti:i$#$ $! >i!rro)
L#' ;r$i$#' !& !( >i!rro 'o& r!r!'!&t#$o' or u r!'i't!&ci# !& '!ri!
cuy# !9r!'i4& !& or u&i$#$ $! (o&.itu$ !' co%o 'i.u!7
Ric= l
pz
(5.165)
Do&$! L !' $! &u!:o (# (o&.itu$ $! (# "o"i !& !( >i!rro)
L# co&tri"uci4& $!"i$# #( !-!cto $! (# i!( !& (o' co&$uctor!' '! u!$!
c#(cu(#r or %!$io $! (# 'i.ui!&t! !9r!'i4&7
Zsk= l
A(5.166)
Do&$!7
A !' (# '!cci4& $!( co&$uctor
Z !' (# co&$ucti:i$#$ $!( co&$uctor
[ !' (# ro-u&$i$#$ $! (# i!( co%(!# $#$# or
=2 (1+j)
(5.167)
=i(%!&t!, (# i&$uct#&ci# $!"i$o #( uo !& !( #i'(#%i!&to !&tr! (#' :u!(t#'y (#' #r!$!' $! (# r#&ur# y cu#' 3 '! #ro9i%# or %!$io $!7
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L=
2n
2ln( 2hr)(5.168)
Do&$!7
Xo !' (# !r%!#"i(i$#$ !& !( :#co
> !' (# %it#$ $! (# #&c>ur# $! (# r#&ur#
r !' !( r#$io $!( co&$uctor circu(#r !ui:#(!&t! u! 'u'tituy! !( #ctu#(
r!ct#&.u(#r
E't! r#$io !ui:#(!&t! !'t8 $#$# or
r=0.2235 (a+b )(5.169)
Do&$! # y " 'o& (# #(tur# y (# #&c>ur#, r!'!cti:#%!&t!)
P#r# %8' $!t#((!' #c!rc# $! (# -or%u(#ci4& %#t!%8tic# $! (# %8ui
"o"i$or# %o$!(o, co&'u(t! (#' r!-!r!&ci#' ori.i(!' y t#%"i;& !( c#tu(o
$! !'t! (i"ro)
5.(( E!ua!")es s"!r*"!a ;/u"a de# s"ste,a ,e!/"!)
L# r!r!'!&t#ci4& $! u 'o(# %#'# $!( rotor $! (# tur"i / .!&!r#$or !'
#$!cu#$# cu#&$o '! #(i
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=i.ur# 5)5 i(u'tr# (# !'tructur# $! u& %o$!(o #.ru#$o %u(ti%#'' tico $!
u& .!&!r#$or i%u('#$o or u tur"i $! :#or $! #.u# co%u!'t#) L#'
'!i' %#'#' $! tor'i4& r!r!'!&t#& (o' rotor!'
FIGURA 5.15
E'tructur# $!( 'i't!%# $! !! $! u .(o"#(ii't;r!'i', u! !'t8& r!r!'!&t#$o' or (#
#%orti.u#ci4& #r# roorcio(!' # (# $i-!r!&ci# $! :!(oci$#$
#&.u(#r !&tr! (#' %#'#' #$y#c!&t!')
D!'$! (# -or%# $! rot#ci4& $! (# '!.u&$# (!y $! N!Hto& , (# !cu#ci4& #r#
(# %#'# IT co&!ct#$o or '!ccio&!' $! !! !(8'tico # (# %#'# i / 1 3 y i \
1 3 :i!&! $#$# or
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jid i
dt +Dasi i+Dssi (i+0 )+Dmii1 (i+i1 )+Dm i i+1 ( i+i+1 )+!i i1("i+"i1 )+!i i +1 (" i+" i+1 )=#mi
d "i
dt=i
Do&$!7
i !' !( %o%!&to $! i&!rci# $! (# %#'# i/;'i%o , !& . %2
Wi, i/ !' 1 (# ri.i$!< tor'io( $! (# '!cci4& $! !! !&tr! (# i/;'i%# y (#
i / 1 3 /;'i%o %#'#, !& N%
DSSI !' (# $!':i#ci4& $! (# :!(oci$#$ $! #uto/ #%orti.u#ci4&
co!ci!&t! $! (# %#'# i, & %' co!ci!&t! corr!'o&$i!&t! #(co%o&!&t! A3 $! #%orti.u#ci4& %!c8&ic# , :;#'! %8' #rri"#3
D#'i !' (# #uto/ #%orti.u#ci4& co!ci!&t! :!(oci$#$ #"'o(ut# $! (#
%#'# i, & %' co!ci!&t! corr!'o&$i!&t! #( co%o&!&t! B3 $!
#%orti.u#ci4& %!c8&ic# , :;#'! %8' #rri"#3
DMI , i/ 1 !' !( co!ci!&t! / %utuo $! #%orti.u#ci4& !&tr! i / 1 3
/;'i%o %#'#, !& N %' co!ci!&t! corr!'o&$i!&t! #( co%o&!&t!
C3 $! #%orti.u#ci4& %!c8&ic# , :;#'! %8' #rri"#3
TMI !' !( #r $! %!c8&ico' $!'#rro((#$o' or (#' '!ccio&!' $!
tur"i' $! IT TP , TIP , TLPB , TLPA 3, !& N %
T!i !' !( #r !(!ctro%#.&;tico' y# '!# $!( .!&!r#$or o !9cit#$or
TG!& , T!9#' 3 , !& N % K0 !' (# r!-!r!&ci# $! -or%# 'i&cr4&ic# !&
rot#ci4&, !& r#$ ? '
i !' (# :!(oci$#$ $! (# %#'# i/;'i%o , !& r#$ ? '
"i !' (#
o'ici4& #&.u(#r $! (# %#'# i/;'i%o , !& r#$i#&!'
L# o'ici4& #&.u(#r !& (# !cu#ci4& 5)10 '! !9r!'# co& r!'!cto # u&
"#'ti$or !'t#ciorio) Si& !%"#r.o, !& !'t#$o !'t#ciorio, (#' %#'#' $!
tor'i4& 'o& !'t#ciorio' co& r!'!cto # 'i&cr4&ic#%!&t! "#'ti$or .ir#torio)
Por (o t#&to, o$r# '!r %8' co&:!&i!&t! #r# r!!'cri"ir (# !cu#ci4& $!%o:i%i!&to !& t;r%i&o' $! (# o'ici4& #&.u(#r $! (#' %#'#', co& r!'!cto #
u& %#rco $! -or%# 'i&cr4&ic# .ir#torio, y $! $!':i#ci4& $! (# :!(oci$#$ $!
(#' %#'#') D!!%i
"i /
0 t, ] i
i /
0 J !( co!ci!&t!
D'i !' !( co!ci!&t! $! #%orti.u#ci4& u! r!r!'!&t# (o' #r!' $! tor'i4&
tot#( $! #%orti.u#ci4& $!"i$o # A3 y B3, u! !r#& r!r!'!&t#$o' or
'!#r#$o co& co!ci!&t!' DSSI y D#'i !& (# !cu#ci4& 5)10, u! '!
co&:i!rt!
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&id ' i
dt +Dsi ' i+D mii1 ( ' i' i1 )+Dmii+1 ( ' i' i+1 )+!i i1(%i%i1 )+!i i+1(%i%i+1 )=#mi#
5)113
s %i
dt=' i
Mi!&tr#' u! !( #&8(i'i' $! (o' ro"(!%#' r!(#cio$o' co& (#' o'ci(#cio&!'
$! tor'i4&, u! o$r# '!r &!c!'#rio #r# o"t!&!r $#to' $!( 'i't!%#
!(;ctrico y %!c8&ico 'o"r! u "#'! co%&) L# !cu#ci4& $! 'i't!%# $! !!
!& !r u&i$#$ u!$! '!r !'crito co%o
1m(
[j ] ddt
' + [D ] ' + [!] %=#m#$ 1m(d %idt=' i(5.172)
Otr# #(t!rti:#7
1
m(2
[&] d2
%
d t2+
1
m([D ]d%
dt+ [!]%=#m#$ (5.173)
Do&$! !( '!r "#r i&$ic# :#(or!' u&it#rio'
L#' c#&ti$#$!' $! "#'! $!( 'i't!%# %!c8&ico 'o& co%o 'i.u!7
B#'! ot!&ci# %!c8&ic#,)m(
)b , A
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=IGURA 5)
E!%(o 5)7 Rotor $! -r!cu!&ci#' y -or%#' $! %o$o tor'io()
5)11)+ D!t!r%ici4& $! #r8%!tro' %!c8&ico'
Co%o '! %!&cio&4 !& (# '!cci4& #&t!rior, (# r!r!'!&t#ci4& $! u 'o(#
%#'# !' #$!cu#$# !& !( #&8(i'i' $! 'i't!%# $! !&!r.# r!&$i%i!&to$i&8%ico u! $# cu!&t# $! (# o'ci(#ci4& $! to$o !( rotor $! (# tur"i/
.!&!r#$or co& r!'!cto # otro' .!&!r#$or!', y '! r!ui!r! !( %o$!(o
%u(ti%#'' #.ru#$o' !& !( !'tu$io $! ro"(!%#' !'!ci#(!' r!(#cio$o' #
(#' o'ci(#cio&!' $! tor'i4&, co%o (# r!'o&ci# 'u"'&cro&o)
Lo' -#"ric#&t!' u!$!& roorcior %o$!(o' $! tur"i/.!&!r#$or u! 'o&
#$!cu#$o' #r# !'tu$io' r!(i%ir!', !ro !'t#' !'ti%#cio&!' >#&
$!%o'tr#$o $i-!r!&ci# t#&to co%o 10 !&tr! (#' -r!cu!&ci#' tur#(!'
c#(cu(#$#' y %!$i$#' @+) Por otr# #rt!, (o' :#(or!' $! #%orti.u#ci4&
$!t!r%ir 'i u u&i$#$ !& #rticu(#r '! !&-r!&t# # u& ro"(!%# $!
i&t!r#cci4& tor'io( u! r!ui!r! .#'to' $! c#it#( #r# co&tro(#r) Por (ot#&to, i$!&tic#ci4& $! (o' #r8%!tro' $! tor'i4& $!( rotor u!$! '!r
i&$i'!&'#"(! #r# roorcior u r!ci'i4& u! !(i%i i&c!rti$u%"r!'
!& (o' %o$!(o' y (o' r!'u(t#$o' $!( !'tu$io)
E& .!&!r#(, !'t#' ru!"#' '! u!$!& $i:i$ir !& $o' .ruo'7
1) E( ri%!r .ruo $! ru!"#' '! r!#(i
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2) E( '!.u&$o .ruo $! ru!"#' uti(io' !'tu$io' r!(#cio$o' # (#'
i&t!r#ccio&!' $! tor'i4& r!u!rir :#(or!' $! #%orti.u#ci4& %!c8&ic# co%o
$#to' $! !&tr#$# #( !'tu$io, y or (o t#&to, '! r!ui!r! u& ci!rto cui$#$o #(
tr#$ucir (o' $#to' $! ru!"# #r# (o' !'tu$io' #r# r!:!&ir u! r!r!'!&t#
(o' !-!cto' !(;ctrico' $! #%orti.u#ci4& tor'io( $o' :!c!')
Lo' $!t#((!' 'o"r! !'t#' ru!"#', #' co%o (o' roc!$i%i!&to' # '!.uir, '!
u!$!& !&co&tr#r !& (#' r!-!r!&ci#') @/)
5)11) D!t!r%ici4& $! =#ctor!' $! #%orti.u#ci4& $!( Mo$!(o %#'#/
r!'ort!/#%orti.u#$or
E& .!&!r#(, (# #%orti.u#ci4& %!c8&ic# '! $!t!r%i # #rtir $! ru!"#' y
or (o t#&to, !'t8 $i'o&i"(! !& t;r%i&o' $! #%orti.u#%i!&to %o$#() Si&
!%"#r.o, (# %#yor# $! (o' ro.r#%#' $! tio EMTP r!ui!r!& !( %o$!(o $!
%#'#/r!'ort!/#%orti.u#$or $!( 'i't!%# $! !!) U& %;to$o $! !&'#yo y !rror
'! ># rou!'to !& (# R!-) @ co& u& ;9ito r#
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:#co y (o' -#ctor!' $!cr!%!&to (! c#r.# corr!'o&$i!&t! # c#$# %o$o
co%o (#' !&tr#$#' y '#(i$#' $! co!ci!&t!' %utu#(i$#$ y #uto/
#%orti.u#ci4&) Co%o (o' $! c#r.# $!( .!&!r#$or #u%!&t#, (#' -u!r!c>o, !( %;to$o 'uo&! u! (o'
co!ci!&t!' $! #uto/#%orti.u#ci4& 'o& i&'i.&ic#&t!' !& co%#r#ci4& co&
(o' co!ci!&t!' $! i&:!r'i4&/#%orti.u#ci4& !& co&$icio&!' 'i& c#r.#) E(
%;to$o rou!'to '! u!$! r!'u%ir co%o 'i.u!7
P#'o 17 O"t!&.# (# &o/c#r.# y (o' $#to' $! ru!"#' # (! c#r.#)
P#'o 27 E't#"(!c!r co!ci!&t!' $! #uto/#%orti.u#ci4& # c!ro D'i 03)
P#'o +7 #c!r u !'ti%#ci4& i&ici#( $! co!ci!&t!'/%utuo'
#%orti.u#ci4& D%i3) P#'o 7 C#(cu(#r :#(or!' roio' $!( 'i't!%# %!c8&ico)
P#'o 57 Co%#r# (# #rt! r!#( $! (o' :#(or!' roio' corr!'o&$i!&t!' #
(o' %o$o' #rticu(#r!' co& (o' $#to' $! ru!"# %o$#( 'i& c#r.# $!#%orti.u#ci4&) Si 'o& 'uci!&t!%!&t! c!rc#, :#y# #( P#'o 6J $! (oco&tr#rio, r!:i'#r co!ci!&t!'/%utuo' $! #%orti.u#ci4&, y :#y# #( #'o)
P#'o 67 Uti(ic! (o' co!ci!&t!'/%utu# #%orti.u#ci4& r!'u(t#&t!' y >#c!r
u !'ti%#ci4& i&ici#( #r# (o' co!ci!&t!' $! #uto/#%orti.u#ci4&) P#'o 7 C#(cu(#r :#(or!' roio' $!( 'i't!%# %!c8&ico)
P#'o 7 Co%#r#ci4& $! (# #rt! r!#( $!( :#(or roio u! corr!'o&$! #
c#$# #rticu(#r, $! %o$o co& (o' $#to' $! ru!"# %o$#( # (! c#r.#$! #%orti.u#ci4&) Si 'o& 'uci!&t!%!&t! c!rc#, $!t!&!r !(roc!$i%i!&toJ $! (o co&tr#rio, r!:i'#r co!ci!&t!' $! #uto/#%orti.u#ci4&, y :#y# #( #'o )
L# !ci!&ci# $!( #(.orit%o '! u!$! %!or#r >#ci!&$o u! (#'
#ro9i%#cio&!' i&ici#(!' #r# (# %utu# $! #%orti.u#ci4& $! co!ci!&t!'
roorcio(!' # (#' $i-!r!&ci#' !&tr! (o' $!'(#
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L# !&tr#$# $! $#to' y !( circuito !ui:#(!&t! =i.ur# 5)A)13
A(.orit%o $! co&:!r'i4& $! $#to'
P#'o 1
L#$L$ _ L#(
5) A)1 =IGURA
D! t!rc!r or$!& $ !! co%(!to circuito !ui:#(!&t!
P#'o 27 C#(cu(#r #r8%!tro' i&t!r%!$io'
R0
=
Lad2
Ld (# d *0+# d **0+# d * * *0 )(# d *+# d * *+# d * * *)
a=Ld (# d *+# d * *+# d ** *)(# d *0+# d * *0+# d * * *0)
Lad
b=Ld (#d# d *+# * d # d* *+# d * ** )Lal (# d*0# d **0+# d * *0 # d * *0+# d ** *0# d ** *0 )
Lad
c=Ld#d# d **# d ** *Lal #*d 0# * * d * * *0
Lad
P#'o +7 C#(cu(#r !( #r8%!tro L(1
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P#'o 7 C#(cu(#r #r8%!tro' i&t!r%!$io'
A=a#kd1L+1
R0
(=a#kd1dL+1
R0
P#'o 57 C#(cu(#r #r8%!tro' RD1 y LD1
P#'o 67 C#(cu(#r #r8%!tro' i&t!r%!$io'
R,= RD 1R0
RD 1R0
#p= Rp
#kd 1( $
R- (
Rd1)P#'o 7 C#(cu(#r #r8%!tro
Ll2
P#'o 7 C#(cu(#r #r8%!tro i&t!r%!$io
P#'o *7 C#(cu(#r (o' #r8%!tro' r!'t#&t!'
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5.A.+ A#7)r"t,) para !/#!u#) de par/,etr)s de Ld $s' > LC
L# !&tr#$# $! $#to' y !( circuito !ui:#(!&t! =i.ur# 5)A)23
FIGURA 5.A.+
D! t!rc!r or$!& !! $ circuito !ui:#(!&t!
A(.orit%o $! co&:!r'i4& $! $#to'
P#'o 1
P#'o 2
P#'o +7 C#(cu(#r F! '37
P#'o 7 Po&.# F! '3 $! (# 'i.ui!&t! -or%#7
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P#'o 57 O"t!&!r R^1, R^2, R^+, L^1, L^2, y L^+ #rtir $! (#' 'i.ui!&t!'
!cu#cio&!'7
P#'o 67 I$!&tic#r c#%o y #%orti.u#$or #r8%!tro' $! "o"i$o
L# %8' #(t# co&'t#&t! $! ti!%o !' $!cir, %89i%o $! T1, T2, y T+3
!rt!&!c! # (# $!:#$o $! !9cit#ci4&)
5. A. A#7)r"t,) para e# !/#!u#) de par/,etr)s de Ld $s'
L# !&tr#$# $! $#to' y !( circuito !ui:#(!&t! =i.ur# 5)A)+3
A(.orit%o $! co&:!r'i4& $! $#to'
P#'o 1
P#'o 27 C#(cu(#r F! '3
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P#'o +7 Po&.# F! '3 $! (# 'i.ui!&t! -or%#7
P#'o 7 O"t!&!r R^1, R^2, R^+, L^1, L^2, y L^+ #rtir $! (#' 'i.ui!&t!'
!cu#cio&!'7
FIGURA 5.A.
Si%(ic#$o $! t!rc!r or$!& !! $ circuito !ui:#(!&t!)
P#'o 57 I$!&tic#r c#%o y #%orti.u#$or #r8%!tro' $! "o"i$o
L# %8' #(t# co&'t#&t! $! ti!%o !' $!cir, %89i%o $! T1, T2, y T+3
!rt!&!c! # (# $!:#$o $! !9cit#ci4&)
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5.A.1 A#7)r"t,) para e# !/#!u#) de par/,etr)s de L $s'
L# !&tr#$# $! $#to' y !( circuito !ui:#(!&t! =i.ur# 5)A)3
A(.orit%o $! co&:!r'i4& $! $#to'
P#'o 1
P#'o 27 C#(cu(#r F! '3
FIGURA 5.A.1
D! t!rc!r or$!& !! circuito !ui:#(!&t!)
P#'o +7 Po&.# F! '3 $! (# 'i.ui!&t! -or%#7
P#'o 7 O"t!&!r RQ1, RQ2, RQ+, LQ1, LQ2 y LQ+ #rtir $! (#' 'i.ui!&t!'
!cu#cio&!'7
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