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Matakuliah Tahun Versi : H0042/Teori Rangkaian Listrik : 2005 : <<versi/01 Pertemuan 10 AC Circuit Power Analysis 1 Learning Outcomes Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : • << TIK-99 >> • << TIK-99>> 2 Outline Materi • • • • Materi 1 : karakteristik daya sesaat Materi 2 : karakteristik daya efektif Materi 3 : karakteristik daya rerata Materi 4 : aplikasi daya rerata beban RLC 3 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. 4 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. 5 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 = 40o V is applied to the impedance Z = 260o 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. 7 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. 8 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. 10 • EXAMPLE 8-31 • Find the average power delivered to the load to the right of the interface in Figure 8-64. 11 • SOLUTION: • The equivalent impedance to the right of the interface is • The current delivered to the load is 12 Hence the average power delivered across the interface is 13 • Note: All of this power goes into the 100 resistor since the inductor and capacitor do not absorb average power. • 14 RESUME • Penyerapan daya beban RC dapat disederhanakan dengan menggunakan analisa phasor. 15