poly-phase induction machine -...
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![Page 1: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/1.jpg)
Poly-phase Induction Machine
![Page 2: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/2.jpg)
![Page 3: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/3.jpg)
![Page 4: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/4.jpg)
![Page 5: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/5.jpg)
![Page 6: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/6.jpg)
![Page 7: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/7.jpg)
![Page 8: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/8.jpg)
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Motor de Inducción
Son aquellos motores de AC cuyo campo magnético en el rotor es producido por inducción.
Squirrel Cage Induction Motor Wound Rotor Induction Motor
![Page 9: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/9.jpg)
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c
a
b
b
c
a
Campo Magnético Rotativo
a a
b
c
b
c
1t 2t 3t 4t
ai bi ci
![Page 10: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/10.jpg)
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Velocidad del Rotor y Deslizamiento
slip s rn n n c
a
b
b
c
a
1 rpmr sn s n
slip100%
s
ns
n
120 rpms
fn
P
![Page 11: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/11.jpg)
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Circuito Equivalente por fase de un Motor de Inducción
BRRE s E
Rf s f
SV PE
effa
SIRISR
SjX
CRMjX
I
LIMI
pI
BRRX s X
1I SR2
eff Ra R2
eff BRja XSjX
CRMjX
I
Li Mi
V eff BRa E 2
eff R
1 sa R
s
RE
RjX
RRBRE
BRjX
RR
s
1RR R
R sR R
s s
![Page 12: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/12.jpg)
Riff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor in Y,
rotor has 40% turns of stator.
For a rotor speed of 1710 r/min find: a) slip
b) EBR c) ER d) blocked rotor induced voltage between terminals with rotor open
circuited e) rotor frequency
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![Page 13: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/13.jpg)
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Flujo de Potencia en un Motor de Inducción
in 1 13 cosP V I
2
scl 1 13P I R
2 2ag 23
RP I
s
2
rcl 2 23P I R
d ag1P s P
rot f CP P P
out d rP T
Pin = Potencia de entrada
Pscl = Pérdidas en el estator (Cu)
Pag = Potencia que cruza el air-gap
Prlc = Pérdidas en el rotor (Cu)
Pd = Potencia desarrollada
Prot = Pérdidas rotacionales
Pout = Potencia de salida
![Page 14: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/14.jpg)
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Circuito Aprox./fase de Motor de Inducción
1 S eff BRV V a E
1 SR R
1 SX X
1I 1R1jX
MI
1V2
1 sR
s
MjX
2I2R
2jX
2
2 eff RR a R
2
2 eff BRX a X
![Page 15: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/15.jpg)
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Curva Torque - Velocidad en un Motor de Inducción
outr
r
PT
Starting Torque
1.00s
ag st
st
s
PT
2
2ag st 2 st3P I R
Maximum Torque
222
1 1 2
mt
RR X X
s
rd mt out mt
mt
r mt r mt
P P PT
![Page 16: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/16.jpg)
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Example Riff’s Textbook
![Page 17: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/17.jpg)
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![Page 18: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/18.jpg)
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![Page 19: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/19.jpg)
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![Page 20: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/20.jpg)
Example Starting TorqueCalculate starting torque of previous motor case
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![Page 21: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/21.jpg)
Example Maximum TorqueCalculate maximum torque of previous motor case
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![Page 22: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/22.jpg)
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Determinación de parámetros: Motor de Inducción
Con el rotor estacionario
(bloqueado) se ajusta el
voltaje aplicado al estator
hasta que el motor
consuma la corriente
nominal
BReq 2
BR
2 eq
22BR
eq eq eq eq
BR
1 2 eq
;
0.5
S
WR
I
R R R
VZ X Z R
I
X X X
Equivalencia por fase:
The Blocked-Rotor Test:
M
W1
W2
V
A
L1
L2
L3
BRI1R
1jX
BRV
2R2jX
![Page 23: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/23.jpg)
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Determinación de parámetros: Motor de Inducción
2
rot NL NL3 3 SP W I R
Se le aplica el voltaje
nominal al motor y se deja
funcionando sin carga
(desacoplado).
NL NL NL
2 2
NL NL NL
2
NL
NL
M
S V I
Q S W
VX
Q
Equivalencia por fase:
The No-Load Test:
M
W1
W2
V
A
L1
L2
L3
NLI
MI
NLVMjX
![Page 24: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/24.jpg)
Example, Parameters from Tests
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![Page 25: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/25.jpg)
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![Page 26: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/26.jpg)
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![Page 27: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/27.jpg)
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Starting Torque from tests
![Page 28: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/28.jpg)
![Page 29: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/29.jpg)
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![Page 30: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/30.jpg)
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![Page 31: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/31.jpg)
![Page 32: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/32.jpg)
![Page 33: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/33.jpg)
Simple Starter Circuit
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![Page 34: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/34.jpg)
![Page 35: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/35.jpg)
![Page 36: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/36.jpg)
![Page 37: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/37.jpg)
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![Page 38: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/38.jpg)
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![Page 39: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/39.jpg)
Automatic Delta-Wye Starter
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![Page 40: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/40.jpg)
Variable-Frequency Induction Motor Drive
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![Page 41: Poly-phase Induction Machine - ece.uprm.eduece.uprm.edu/~aramirez/4405/Handouts/Inducmachine.pdfRiff’s Example: A 3-Φ, 60-hz, 220 V, 4 Pole wound rotor IM has a stator in Δ, rotor](https://reader033.vdocuments.mx/reader033/viewer/2022051602/5b0624867f8b9a93418c5bf2/html5/thumbnails/41.jpg)
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Torque-Speed Characteristic for IM Variable-Voltage
Variable-Frequency Control System
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