Transcript and p(t) - Binus Repository

Matakuliah
Tahun
Versi
: H0042/Teori Rangkaian Listrik
: 2005
: <<versi/01
Pertemuan 10
AC Circuit Power Analysis
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Learning Outcomes
Pada akhir pertemuan ini, diharapkan mahasiswa
akan mampu :
• << TIK-99 >>
• << TIK-99>>
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Outline Materi
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•
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Materi 1 : karakteristik daya sesaat
Materi 2 : karakteristik daya efektif
Materi 3 : karakteristik daya rerata
Materi 4 : aplikasi daya rerata beban RLC
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Chapter 11 AC Circuit Power Analysis
Fig. 11.1 (and 11.2) Instantaneous power example.
Fig. 11.3 The average value P of a periodic function p(t) is …
Fig. 11.5 Curves of v(t), i(t), and p(t) are plotted as functions of …
Fig. 11.8 A simple loop circuit used to illustrate …
Fig. 11.14 A circuit in which we seek the average power delivered...
Fig. 11.16 The power triangle representation of complex power.
Engineering Circuit Analysis Sixth Edition
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin
Copyright © 2002 McGraw-Hill, Inc. All Rights Reserved.
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The instantaneous power
that is delivered to R is pR(t)
= i2(t)R = (V02/R)(1 – e-Rt/L)2
u(t).
Sketch of p(t), pR(t), and
pL(t). As the transient dies
out, the circuit returns to
steady-state operation.
Since the only source
remaining in the circuit is
dc, the inductor eventually
acts as a short circuit
absorbing zero power.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
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The average value P of a periodic function p(t) is
the same over any period T.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
6
Curves of v(t), i(t), and p(t) are plotted as functions of time for a
simple circuit in which the phasor voltage V = 40o V is applied to
the impedance Z = 260o W and w = p/ 6 rad/s.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
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A simple loop circuit used to illustrate the
derivation of the maximum power transfer theorem
as it applies to circuits operating in the sinusoidal
steady state.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
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A circuit in which we seek the average power
delivered to each element, the apparent power
supplied by the source, and the power factor of the
combined load.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
9
The power triangle representation of complex power.
W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.
Copyright ©2002 McGraw-Hill. All rights reserved.
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• EXAMPLE 8-31
• Find the average power delivered to the
load to the right of the interface in Figure
8-64.
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• SOLUTION:
• The equivalent impedance to the right of
the interface is
• The current delivered to the load is
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Hence the average power delivered
across the interface is
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• Note: All of this power goes into the 100
resistor since the inductor and capacitor
do not absorb average power.
•
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RESUME
• Penyerapan daya beban RC dapat
disederhanakan dengan menggunakan
analisa phasor.
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