7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
1/75
Fundamentos de Diseo y Rehabilitacin de
Generadores para Centrales HidroelctricasUna breve introduccin a la teora de
generadores sincrnicos
Santiago, Agosto de 2011J. Johnny Rocha E.
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
2/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
. . . 130 years shaping the future. . . 130 years shaping the future. . . 130 years shaping the future. . . 130 years shaping the future
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
3/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Agenda
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
4/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Mdico, fisilogo y fsico italiano, sus estudios le permitierondescifrar la naturaleza elctrica del impulso nervioso.
A partir aproximadamente de 1780, Galvani comenz a
incluir en sus conferencias pequeos experimentos prcticosque demostraban a los estudiantes la naturaleza ypropiedades de la electricidad. En una de estas experiencias,el cientfico demostr que, aplicando una pequea corrienteelctrica a la mdula espinal de una rana muerta, seproducan grandes contracciones musculares en losmiembros de la misma. Estas descargas podan lograr que laspatas (incluso separadas del cuerpo) saltaran igual quecuando el animal estaba vivo.
As lo hizo en la Universidad de Pava el colega de Galvani,Alejandro Volta, quien afirm que los resultados erancorrectos pero no qued convencido con la explicacin deGalvani.
1780 Luigi Galvani (1737 1798)
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
5/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1780 Luigi Galvani (1737 1798)
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
6/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1818 Mary Shelley
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
7/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Fsico italiano, famoso principalmente por haber desarrolladola pila elctrica en 1800.
En 1780, un amigo de Volta, Luigi Galvani, observ que el
contacto de dos metales diferentes con el msculo de una ranaoriginaba la aparicin de corriente elctrica. En 1794, a Voltale interes la idea y comenz a experimentar con metalesnicamente, y lleg a la conclusin de que el tejido muscularanimal no era necesario para producir corriente elctrica. Estehallazgo suscit una fuerte controversia entre los partidarios dela electricidad animal y los defensores de la electricidadmetlica, pero la demostracin, realizada en 1800, delfuncionamiento de la primera pila elctrica certific la victoria
del bando favorable a las tesis de Volta.La unidad de fuerza electromotriz del Sistema Internacional deUnidades lleva el nombre de voltio en su honor desde el ao1881.
1800 Alessandro Volta (1745 1827)
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
8/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1800 Alessandro Volta (1745 1827)
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
9/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1800 Alessandro Volta (1745 1827)
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
10/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Electromagnetismo - El principio
Hans Christian Oersted
1777 - 1851
1819 El electromagnetismo
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
11/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1820 Andr-Marie Ampre (1775 1836)
es la integral de lnea del circuito cerrado C;
B es el campo magntico en teslas;
denota producto vectorial;
d se trata de un elemento infinitesimal del circuitocerrado C (i.e. un vector con magnitud igual a lalongitud infinitesimal del elemento de lnea, y dedireccin definida por la tangente a la curva C),
d
C
Regla de la mano derecha
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
12/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Emulando la naturaleza
Concentrando lneas deflujo magntico
Solenoide emulando un imn permanente
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
13/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Investigando la fuerza magntica
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
14/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1825 William Sturgeon (1783 1850)
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
15/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Introduciendo un ncleode ferro,se mejora la concentracin de flujoen centenas de veces
Colocando un estator, casi se elimina el flujodisperso e, as, se transforma casi toda acorriente en flujo magntico
Dominio del flujo magntico
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
16/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
A
=
Densidad de lneas de flujoCampo magntico
iL =Flujo magntico
Distribucin espacial de ladensidad de flujo magntico
Electromagnetismo Controlando la distribucin del flujo
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
17/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Electromagnetismo - polos
Circuito de lneas de flujo magntico
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
18/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
0 63.66 127.33 190.99 254.66 318.32 381.990
0.2
0.4
0.6
0.8
1
1.2
Campo do plo
1a harmnica do campo
Valor medio
Valor rms
Campo do plo
1a harmnica do campo
Valor medio
Valor rms
Induo sobre a linha do entreferrro
Passo Polar [mm]
Ind
uomagntica[T]
cy
fox
f1x
avg
rms
cx
tx
Un refinamiento el polo senoidal
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
19/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Control de la distribucin de lneas de flujo
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
20/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
FEM RESULTS
TRASSNIO FUNCTION
1.7
1.0
1.2
1.4
1.5
1.6
M
m
Magne
ticfield[pu
]
Polepitch
Control de la distribucin de lneas de flujoModelando la forma del campo magntico
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
21/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Generador deeje vertical
Generador deeje horizontal
Una aplicacin al generador sincrnico
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
22/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Dinmica del campo magntico
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
23/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Agenda
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
24/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1830 Joseph Henry (1797 1878)
Henry descubri, de forma independiente ysimultnea a Faraday, que un campo magnticovariable induce una fuerza electromotriz. En
particular, Henry observ que, si un conductor semueve perpendicularmente a un campomagntico, aparece una diferencia de potencialentre los extremos del conductor.
El inters del experimento de Henry reside en quela aparicin de la fuerza electromotriz inducidapuede ser explicada de forma clara por la ley deLorentz, es decir, por las fuerzas que el campo
magntico ejerce sobre las cargas del conductor.
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
25/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1830 Joseph Henry (1797 1878)
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
26/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1831 Michel Faraday (1791 1867)
Fsico y qumico britnico que estudi elelectromagnetismo y la electroqumica.
Fue discpulo del qumico Humphry Davy, y ha sidoconocido principalmente por su descubrimiento de lainduccin electromagntica, que ha permitido laconstruccin de generadores y motores elctricos, y delas leyes de la electrlisis, por lo que es consideradocomo el verdadero fundador del electromagnetismo y
de la electroqumica.
En 1831 traz el campo magntico alrededor de unconductor por el que circula una corriente elctrica (yadescubierta por Oersted), y ese mismo ao descubri lainduccin electromagntica, demostr la induccin de
una corriente elctrica por otra, e introdujo el conceptode lneas de fuerza, para representar los camposmagnticos.
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
27/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1831 Michel Faraday (1791 1867)
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
28/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1831 Michel Faraday (1791 1867)
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
29/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1832 Gerador de Hippolyte Pixii
Armadura estacionria e magneto mvel.
O magneto era uma estrutura pesada
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
30/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1832 Gerador de Hippolyte Pixii
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
31/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1833 Magneto-generador de Sther
W. Ritchie inventa el conmutador yparece que Saxton fue el primero enaplicarlo de manera plausible.
Sthrer mejora considerablemente la
eficacia del magneto-generadorintroduciendo una armadura mvil,un conjunto de magnetosestacionarios e un conmutador.
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
32/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1833 los magneto generadores de Klarke
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
33/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
)()( tdt
dte =
)()( tvlte =
El voltaje inducido - El principio
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
34/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
35/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
El voltaje inducido - La mquina
Estator y rotor
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
36/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Haciendo bobinas con barras Roebel
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
37/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
N
N
N
S
S
El voltaje inducido - La mquina
U1
U2
U
Time t
1
2
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
38/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Concepto de fasor
f(t)
g(t)
t
-
g(t)
f(t)
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
39/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
0 65.45 130.9 196.35 261.8 327.25 392.70
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
1.1
1.2
Campo do plo
1a harmnica do campo
Campo do plo
1a harmnica do campo
Induo sobre a linha do entreferrro
Passo Polar [mm]
Induomagntica[T]
cyf0xx
f1xx
cx
ttxx
M
m1.45=
0 5 10 15 20 250
0.033
0.067
0.1
Campo dos polos
Fbfkf
Fbf1
0
kf
0 0.0028 0.0056 0.0083 0.0111 0.0139 0.01672.76 .10
4
0
2.76.104
Tenso F-N
Tenso F-N 1o Harmnico
Tenso F-F
Tenso F-F 1o Harmnico
Tenso F-N
Tenso F-N 1o Harmnico
Tenso F-F
Tenso F-F 1o Harmnico
Tenso nos terminais do gerador
tempo [s]
Tenso[kV]
U 2
3
U 2
efnAx
efn1Ax
Effabx
Eff1abx
tx
y 3=
q 1= 1=
0 5 10 15 20 25 30 35 400
0.025
0.05
0.075
0.1
Tenso Fase-Neutro
Fefnkf
Fefn1
0
kf
0 5 10 15 20 25 30 35 400
0.025
0.05
0.075
0.1
Tenso Fase-Fase
Feffkf
Feff1
0
kf
Nr = 60
Np = 20
TIFRES 76.836= TIFBAL 91.555=
El voltaje inducido - Caso: q = 1 y paso pleno
)()( tvlte =
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
40/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
0 65.45 130.9 196.35 261.8 327.25 392.70
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
1.1
1.2
Campo do plo
1a harmnica do campo
Campo do plo
1a harmnica do campo
Induo sobre a linha do entreferrro
Passo Polar [mm]
Induomagntica[T]
cyf0xx
f1xx
cx
ttxx
M
m1.45=
0 5 10 15 20 250
0.033
0.067
0.1
Campo dos polos
Fbfkf
Fbf1
0
kf
0 0.0028 0.0056 0.0083 0.0111 0.0139 0.01672.76 .10
4
0
2.76 .104
Tenso F-N
Tenso F-N 1o Harmnico
Tenso F-F
Tenso F-F 1o Harmnico
Tenso F-N
Tenso F-N 1o Harmnico
Tenso F-F
Tenso F-F 1o Harmnico
Tenso nos terminais do gerador
tempo [s]
Tenso[kV]
2 U
2 U
U 2
3
U 2
efnAx
efn1Ax
Effabx
Eff1abx
1
f
0 tx
y 8=
q 3= 0.889=
0 5 10 15 20 25 30 35 400
0.025
0.05
0.075
0.1
Tenso Fase-Neutro
Fefnkf
Fefn1
0
kf
0 5 10 15 20 25 30 35 400
0.025
0.05
0.075
0.1Tenso Fase-Fase
Feffkf
Feff1
0
kf
Nr = 180
Np = 20
TIFRES 30.052= TIFBAL 46.084=
El voltaje inducido - Caso: q = 3 y paso acortado
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
41/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Nr = 180Np = 20
0 65.45 130.9 196.35 261.8 327.25 392.70
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
1.1
1.2
Campo do plo
1a harmnica do campo
Campo do plo
1a harmnica do campo
Induo sobre a linha do entreferrro
Passo Polar [mm]
Induomagntica[T]
1.2
0
1
cy
f0xx
f1xx
2
0
cx
ttxx
M
m1=
0 5 10 15 20 250
0.033
0.067
0.1Campo dos polos
0.1
0
Fbfkf
Fbf1
0
0 kf
0 0.0028 0.0056 0.0083 0.0111 0.0139 0.01672.76 .10
4
0
2.76 .104
Tenso F-N
Tenso F-N 1o Harmnico
Tenso F-F
Tenso F-F 1o Harmnico
Tenso F-N
Tenso F-N 1o Harmnico
Tenso F-F
Tenso F-F 1o Harmnico
Tenso nos terminais do gerador
tempo [s]
Tenso[kV]
U 2
3
U 2
efnAx
efn1Ax
Effabx
Eff1abx
tx
y 8=
q 3= 0.889=
0 5 10 15 20 25 30 35 400
0.025
0.05
0.075
0.1
Tenso Fase-Neutro
Fefnkf
Fefn1
0
kf
0 5 10 15 20 25 30 35 400
0.025
0.05
0.075
0.1Tenso Fase-Fase
Feffkf
Feff1
0
kf
TIFRES 60.592= TIFBAL 54.321=
El voltaje inducido - Gap constante q = 3 y paso acortado
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
42/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Devanado del estator voltaje inducido
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
43/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Corolario: el rotor cilndrico
cmo obtener una forma senoidal de campo magntico con un rotor cilndricomanteniendo el entrehierro constante?
Corolario: sale la espira...
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
44/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
pentra el conductor elemental
Como romper la hegemona de la espira y usar libremente apenas el conductor elemental?
1
1
f i
xi
1
1
fyi
xi
1
1
fi
fyi
fi fyi+
xi
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
45/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Corolario: el devanado polar
Bobinas distribuidas y de paso acortado
VavgVrms
FMM i
Fmm1i
xi
1
1
fi
fyi
fi fyi+
xi
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
46/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Corolario: forma de onda del voltaje
0 541.925 1.084 103
1.215
0
1.215
Vavg
Vrms
FMM i
Fmm1 i
xi
Vrms 0.875=
Vavg 0.729=
0 5 10 15 20 25 30 350
0.05
0.1
0.15
0.2
0.25
Frf krf
Frf 1
0
krf
Anexo A:
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
47/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Cinemtica de movimientos ondulatorios
Fundamentos de Diseo y Rehabilitacin de
Generadores para Centrales HidroelctricasAnexo A
Cinemtica de movimientos ondulatorios
Santiago, agosto de 2011
J. Johnny Rocha E.
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
48/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Agenda
L i d d
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
49/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Fuente de Corriente Alternada
Campo Magntico Generado
La reaccin de armadura
L d t i i l t
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
50/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
La onda estacionaria pulsante
El campo magntico girante resultado de lad d d l t
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
51/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
suma de dos ondas pulsantes
1856 - 1943
Bi-fsico 1888 Tesla e Ferrai
Motor bifsico Ferrari
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
52/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Motor bifsico - Ferrari
Motor bifsico Tesla
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
53/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Motor bifsico - Tesla
Motor bifsico Tesla
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
54/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Motor bifsico - Tesla
1891 El campo girante trifsico
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
55/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1891 - El campo girante trifsico
1861 - 1919
Tri-fsico 1891 - Dobrovolsky
Motor trifsico Dolivo Dobrovolsky
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
56/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Motor trifsico Dolivo Dobrovolsky
La reaccin de armaduraLapidando la forma de onda
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
57/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Lapidando la forma de onda
Distribucin y paso son los recursos
1.5
1.2
0.9
0.6
0.3
0
0.3
0.6
0.9
1.2
1.5
MMFCp th harmonic1st harmonic
MMF for a Regular Trifasic Winding
1.308
1.308
0
FAri
FArCpi
FAr1i
2Cp p0
2pCpp
xi4
3.2
2.4
1.6
0.8
0
0.8
1.6
2.4
3.2
4
MMFCp th harmonic1st harmonic
MMF for a Regular Trifasic Winding
3.766
3.766
0
FAri
FArCpi
FAr1i
2Cp p0
2pCpp
xi
3
2.4
1.8
1.2
0.6
0
0.6
1.2
1.8
2.4
3
MMFCp th harmonic1st harmonic
MMF for a Regular Trifasic Winding
2.527
2.527
0
FAri
FArCpi
FAr1i
2Cpp0
2pCp p
xi6
4.8
3.6
2.4
1.2
0
1.2
2.4
3.6
4.8
6
MMFCp th harmonic1st harmonic
MMF for a Regular Trifasic Winding
5.011
5.011
0
FAri
FArCpi
FAr1i
2Cp p0
2pCpp
xi
1.5
1.2
0.9
0.6
0.3
0
0.3
0.6
0.9
1.2
1.5
MMFCp th harmonic1st harmonic
MMF for a Regular Trifasic Winding
1.133
1.133
0
FAri
FArCpi
FAr1i
2Cpp0
2pCpp
xi2.5
2
1.5
1
0.5
0
0.5
1
1.5
2
2.5
MMFCp th harmonic1st harmonic
MMF for a Regular Trifasic Winding
2.441
2.441
0
FAri
FArCpi
FAr1i
2Cp p0
2pCpp
xi4
3.2
2.4
1.6
0.8
0
0.8
1.6
2.4
3.2
4
MMFCp th harmonic1st harmonic
MMF for a Regular Trifasic Winding
3.539
3.539
0
FAri
FArCpi
FAr1i
2Cpp0
2pCpp
xi5
4
3
2
1
0
1
2
3
4
5
MMFCp th harmonic1st harmonic
MMF for a Regular Trifasic Winding
4.84
4.84
0
FAri
FArCpi
FAr1i
2Cp p0
2pCpp
xi
2p =20 Ns =60
Q = 1 y = 3
Devanado de Paso Pleno
Q = 1 y = 2 Q = 2 y = 5 Q = 3 y = 8 Q = 4 y = 10
Devanado de paso acortado 5/6 de p
2p =20 Ns =120
Q = 2 y = 6
2p =20 Ns =180
Q = 4 y = 12
2p =20 Ns =180
Q = 3 y = 9
La reaccin de armaduraLapidando la forma de onda
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
58/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Lapidando la forma de onda
O enrolamento de q fracionrio o mais comum
5
4
3
2
1
0
1
2
3
4
5
4.389
4.389
0
FAri
FArCpi
FAr1i
2Cpp0
2p Cp p
xi
5
4
3
2
1
0
1
2
3
4
5
MMFCp th harmonic1st harmonic
4.84
4.84
0
FAri
FArCpi
FAr1i
2Cp p0
2pCpp
xi
6
4.8
3.6
2.4
1.2
0
1.2
2.4
3.6
4.8
MMFCp th harmonic1st harmonic
5.011
5.011
0
FAri
FArCpi
FAr1i
2Cpp0
2pCpp
xi
2p =20 Ns =180
Q = 4 y = 12
passo pleno
2p =20 Ns =180
Q = 4 y = 10
passo encurtado
2p =20 Ns =180
Q = 3 4/5 y = 9
passo encurtado
Aplicacin de un modelo avanzado
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
59/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Aplicacin de un modelo avanzado
Dnamo trifsico Central de Lauffen 1891
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
60/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Dnamo trifsico Central de Lauffen 1891
Charles Brown & Michael Dolivo-Dobrowolsky - AEG
300 hp
1901 Generador Sincrnico Trifsico
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
61/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1901 Generador Sincrnico Trifsico
1901 Generador Sincrnico TrifsicoRotor Cilndrico Macizo 2 polos
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
62/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
p
Agenda
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
63/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
g
Tecnologa del devanado El problema
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
64/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
g
Tecnologa del devanado Las soluciones
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
65/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Longitud del ncleo
Bobinas de mltiplas espirascon transposicin natural
Barra Roebel contransposicin interna
Bobinas de mltiplas espiras
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
66/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Barra Punga Transposicin interna primitiva
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
67/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
La barra Roebel
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
68/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
1912 patente
Brown Boveri Company
Ludwig Roebel
La barra Roebel
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
69/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Agenda
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
70/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Prdidas en el ncleo magntico
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
71/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Pfe = Physteresis + Peddy + Pexcess
Elementos del ncleo magntico
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
72/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
Agenda
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
73/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
El devanado amortiguador
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
74/75
ALSTOM 2008. All rights reserved. Information contained in this document is provided without liability for information purposes only and is subject to change without no tice. No representation or warranty is given or to be implied as to thecompleteness of information or fitness for any particular purpose. Reproduction, use or disclosure to third parties, without express written authority, is strictly prohibited.
Una breve introduccin a la teora de generadores sincrnicos - JJRE
7/24/2019 3- Una Breve Introduccin a La Teora de Generadores Sincrnicos
75/75
Muchas Gracias!!
www.alstom.com