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Review of 3-Phase AC Circuits EE 340 Y. Baghzouz
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Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Mar 07, 2018

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Page 1: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Review of 3-Phase AC

Circuits

EE 340

Y. Baghzouz

Page 2: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Advantages of 3-Phase

Systems

Page 3: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Balanced 3-Phase Systems

Page 4: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

3-Phase Voltage Source

Page 5: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Neutral Wire Sharing

Page 6: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Neutral Current

Page 7: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Phase and Line Voltages

Page 8: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Example of Phase and

Line Voltages

Page 9: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Y-Connected Load

Page 10: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Δ-Connected Load

Page 11: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Power in Balanced 3-Phase Circuits

The real power, reactive power, apparent

power, complex power and power factor are

the same in each phase.

)cos(3)cos(3 IVIVP Lp

)sin(3)sin(3 IVIVQ Lp

Lp VIVS 33

Page 12: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Power measurement in 3-phase

4-wire circuit

If the load is balanced,

then P1 = P2 = P3,

hence, PT = 3P1

If the load is

unbalanced, P1≠P2≠P3,

hence, PT = P1+P2+P3

Page 13: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Power measurement in 3-phase

3-wire circuit: the 2-wattmeter method

PT = P1+P2

The load can be Y-

connected, Δ-connected,

balanced, or unbalanced.

Any one of the 3 phases

can be used as a

reference.

If the load is balanced,

then P1 = P2, hence, PT =

2P1

Page 14: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Measuring active power in a high power circuit

Page 15: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Per-Phase Analysis in Balanced

3-Phase Circuits

Page 16: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Example of per-phase analysis

Find the complex power supplied by each of the

two sources.

Page 17: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Solution

Page 18: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Example of 3-phase balanced circuit

Page 19: Review of 3-Phase AC Circuits - UNLVeebag/Review 3-Phase Ckts.pdf · Review of 3-Phase AC Circuits EE 340 ... Balanced 3-Phase Systems . 3-Phase Voltage Source . Neutral Wire Sharing

Problems from Chap 2:

1, 2, 3, 4, 5, 6.