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Pertemuan 11
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 V ab
.
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 YY 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 120 o 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 V ab
.
(b)(b) V
V bc ad
+ V
= V ab cd
+
= V ab
+
V cd
.
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