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Transcript 
Figure 11.1
A basic three-phase circuit.
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.2 Phasor diagrams of a balanced set of three-phase voltages. (a) The abc (positive) sequence. (b) The acb
(negative) sequence.
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.3
A sketch of a three-phase voltage source.
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.4
source.
The two basic connections of an ideal three-phase source. (a) A Y-connected source. (b) A ∆-connected
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.5 A model of a three-phase source with winding impedance: (a) a Y-connected source; and (b) a ∆ connected source.
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.6
A three-phase Y-Y system.
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.7
A single-phase equivalent circuit.
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.8
Line-to-line and line-to-neutral voltages.
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.9 Phasor diagrams showing the relationship between line-to-line and line-to-neutral voltages in a balanced
system. (a) The abc sequence. (b) The acb sequence.
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.10
The single-phase equivalent circuit for Example 11.1.
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.11
A single-phase equivalent circuit.
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.12
load.
A circuit used to establish the relationship between line currents and phase currents in a balanced ∆
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.13 Phasor diagrams showing the relationship between line currents and phase currents in a ∆-connected
load. (a) The positive sequence. (b) The negative sequence.
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.14
The single-phase equivalent circuit for Example 11.2.
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.15
A balanced Y load used to introduce average power calculations in three-phase circuits.
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.16
A ∆-connected load used to discuss power calculations.
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 11.17
The single-phase equivalent circuit for Example 11.5.
Electric Circuits, Ninth Edition
James W. Nilsson • Susan A. Riedel
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
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