final exam will be wednesday april 29 from 10:00am – 12:00pm in this room disregard the saturday...
TRANSCRIPT
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FINAL EXAM WILL BE
WEDNESDAY APRIL 29FROM 10:00AM – 12:00PM
IN THIS ROOM
DISREGARD THE SATURDAY DATE ON THE FINAL EXAM MATRIX
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Ideal Transformers
nN
N
V
V
1
2
1
2
ˆ
ˆ
dt
dNv
dt
dNv
2211 and
2211 iviv nN
N
V
V
I
I
1
2
1
2
2
1
ˆ
ˆ
ˆ
ˆ
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Ideal TransformersExample: Redraw the diagram below twice as a single electric circuit, the first time reflected to the high-voltage circuit, and the second time reflected to the low-voltage circuit.
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Ideal Transformers
Reflected to the high-voltage circuit:
![Page 5: FINAL EXAM WILL BE WEDNESDAY APRIL 29 FROM 10:00AM – 12:00PM IN THIS ROOM DISREGARD THE SATURDAY DATE ON THE FINAL EXAM MATRIX](https://reader035.vdocuments.mx/reader035/viewer/2022062321/56649ef45503460f94c0790b/html5/thumbnails/5.jpg)
Ideal Transformers
Reflected to the low-voltage circuit:
![Page 6: FINAL EXAM WILL BE WEDNESDAY APRIL 29 FROM 10:00AM – 12:00PM IN THIS ROOM DISREGARD THE SATURDAY DATE ON THE FINAL EXAM MATRIX](https://reader035.vdocuments.mx/reader035/viewer/2022062321/56649ef45503460f94c0790b/html5/thumbnails/6.jpg)
Real TransformersMust account for:
• Resistance in the winding conductors• Power (I2R) losses
• Leakage reactance• Flux produced by one winding that does
not link the other
• Energy to magnetize core• Alignment of magnetic domains in core
steel
• Electrical losses in core• Hysteresis and eddy currents
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Real Transformers
![Page 8: FINAL EXAM WILL BE WEDNESDAY APRIL 29 FROM 10:00AM – 12:00PM IN THIS ROOM DISREGARD THE SATURDAY DATE ON THE FINAL EXAM MATRIX](https://reader035.vdocuments.mx/reader035/viewer/2022062321/56649ef45503460f94c0790b/html5/thumbnails/8.jpg)
Polyphase Induction Motors
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Polyphase Induction MotorsStator circuit produces a rotating magnetic field.
http://www.ece.umn.edu/users/riaz/animations/spacevectors.html
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Polyphase Induction Motors
A voltage is induced across the rotor bars by transformer action (Faraday’s Law).
This is possible because the rotor turns slightly (3%-5%) slower than the rotating stator field.
The speed differential between the stator field and the rotor is the slip.
NO SLIP NO TRANSFORMER ACTION NO TORQUE
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Polyphase Induction MotorsSpeed-Torque Curves
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Polyphase Induction MotorsSpeed-Torque Curves
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Polyphase Induction MotorsPower Flow / Losses