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Matakuliah
Tahun
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Pertemuan 11
Polyphase Circuits
1
Learning Outcomes
Pada akhir pertemuan ini, diharapkan mahasiswa
akan mampu :
• Menjelaskan rangkaian listrik sistem satu
fasa dan sistem fasa jamak.
• Menghitung variabel-variabel V / I
rangkaian listrik 3 fasa terhubung Delta
dan star.
2
Outline Materi
• Materi 1 : rangkaian listrik satu fasa
• Materi 2 : rangkaian listrik tiga fasa
• Materi 3 : rangkaian listrik tiga fasa
terhubung delta.
• Materi 4 : rangkaian listrik tiga fasa
terhubung delta
• Materi 5 : aplikasi rangkaian tiga fasa
3
Chapter 12
Polyphase Circuits
Fig. 12.1 An example set of three voltages…
Fig. 12.2 (a) The definition of the voltage Vab.
Fig. 12.3 A network used as a numerical example of …
Fig. 12.7 (a) A single-phase three-wire source.
Fig. 12.8 A simple single-phase three-wire system.
Fig. 12.9 Circuit from Example 12.1.
Fig. 12.11 A Y-connected three-phase four-wire source.
Fig. 12.12 (a) Positive, or abc, phase sequence.
Fig. 12.14 A balanced three-phase system, connected Y-Y and …
Fig. 12.18 A balanced D-connected load is present on a three-wire..
Engineering Circuit Analysis Sixth Edition
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin
Copyright © 2002 McGraw-Hill, Inc. All Rights Reserved.
4
An example set of three voltages, each of which is 120o out of
phase with the other two. As can be seen, only one of the voltages
will be zero at a particular instant.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
5
(a)The definition of
the voltage Vab.
(b)(b) Vad = Vab +
Vbc+ Vcd = Vab +
Vcd.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
6
A network used as a numerical example
of double-subscript voltage notation.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
7
(a) A single-phase three-wire source. (b)
The representation of a single-phase
three-wire source by two identical voltage
sources.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
8
A simple singlephase three-wire
system. The two
loads are
identical, and the
neutral current is
zero.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
9
Analyze the system below and determine the
power delivered to each of the three loads as
well as the power lost in the neutral wire and
each of the two lines.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
10
A Y-connected three-phase four-wire
source.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
11
(a)Positive, or
abc, phase
sequence.
(b)Negative, or
cba, phase
sequence.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
12
A balanced three-phase system,
connected Y-Y and including a neutral.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
13
A balanced D-connected load is present
on a three-wire three-phase system. The
source happens to be Y-connected.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
14
RESUME
• Analisa sistem jaringan 3 fasa dapat
dilakukan berdasarkan hubungan delta
dan star.
15
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