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N g u y ễn Côn g Phươn g gy g g Electric Circuit Theory Electric Circuit Theory Frequency Response Contents 1. Basic Elements Of Electrical Circuits 2. Basic Laws 3. Electrical Circuit Analysis 4. Circuit Theorems 5. Active Circuits 6. Capacitor And Inductor 7. First Order Circuits 8 SdOdCiit 8 . S econ d O r d er Ci rcu it s 9. Sinusoidal Steady State Analysis 10. AC Power Analysis 11 Three phase Circuits 11 . Three - phase Circuits 12. Magnetically Coupled Circuits 13. Frequency Response 14 The Laplace Transform 14 . The Laplace Transform 15. Two-port Networks Frequency Response - sites.google.com/site/ncpdhbkhn 2 Frequenc y Response • Transfer Function Transfer Function • The Decibel Scale • Bode Plots • Bode Plots • Series Resonance • Parallel Resonance • Parallel Resonance • Passive Filters A ti Filt • A c ti ve Filt ers • Scaling Frequency Response - sites.google.com/site/ncpdhbkhn 3 Transfer Function (1) () in I () out I + () in V + () out V () H – – () () Out H () () H In () V () I () () () out voltage in V H V () () () out current in I H I () () out V H () () out I H Frequency Response - sites.google.com/site/ncpdhbkhn 4 () () () out impedance in H I () () () out admittance in H V Transfer Function (2) () in I () out I + () in V + () out V () H – – () () Out H () () H In 12 ( ) 0 , , (zeros) z z Out () 0 (poles) pp In Frequency Response - sites.google.com/site/ncpdhbkhn 5 12 () 0 , , (poles) pp In Transfer Function (3) Ex. 1 v s = 100sinωt (V). Find the transfer function + – + 5 V o /V s and sketch its frequency response. – () s vt o v 2H 2 52 s o j j V V 52 o j j 2 () 5 2 o v s j j V H V 5 s j V 2 22 2(5 2) 4 10 (5 2 )(5 2 ) 25 4 25 4 v jj jH jj v + – + s V V 5 2 j 42 1 16 100 5 H Frequency Response - sites.google.com/site/ncpdhbkhn 6 – s o V 2 j 1 2 16 100 5 ;tan 425 2 vv H Transfer Function (4) Ex. 1 v s = 100sinωt (V). Find the transfer function + – + 5 V o /V s and sketch its frequency response. – () s vt o v 2H 42 1 2 16 100 5 ; tan vv H 2 ; 425 2 vv 1 80 90 0.6 0.8 () v H 50 60 70 80 0.2 0.4 10 20 30 40 () v Frequency Response - sites.google.com/site/ncpdhbkhn 7 0 5 10 15 20 25 30 35 40 45 50 0 5 10 15 20 25 30 35 40 45 50 10 Transfer Function (5) Ex. 2 v s = 100sinωt (V). Find the transfer functions + – + 5 o i i i V o /V s , I o /I i , V o /I i , & I o /V s . – () s vt o v 2H 1mF Frequency Response - sites.google.com/site/ncpdhbkhn 8 Frequenc y Response • Transfer Function Transfer Function • The Decibel Scale • Bode Plots • Bode Plots • Series Resonance • Parallel Resonance • Parallel Resonance • Passive Filters A ti Filt • A c ti ve Filt ers • Scaling Frequency Response - sites.google.com/site/ncpdhbkhn 9 The Decibel Scale P 2 10 1 log P G P 2 10 1 10log dB P G P 2 10 1 20log dB V G V 2 10 1 20log dB I G I Frequency Response - sites.google.com/site/ncpdhbkhn 10 1 I [...]... : quadratic zero k k Frequency Response - sites.google.com/site/ncpdhbkhn 13 Bode Plots (3) H dB 20log10 K H( H( ) K 0 H 20log10 K 0.1 0 1 10 100 0.1 1 Frequency Response - sites.google.com/site/ncpdhbkhn 10 100 14 Bode Plots (4) H dB 20log10 1 H( ) j 90o H 20 0 0o 20 0.1 01 1 10 0.1 01 1 10 90o Frequency Response - sites.google.com/site/ncpdhbkhn.. .Frequency Response • • • • • • • • Transfer Function The Decibel Scale Bode Plots Series Resonance Parallel Resonance Passive Filters Active Filt A ti Filters Scaling Frequency Response - sites.google.com/site/ncpdhbkhn 11 Bode Plots (1) Semilog plots of the magnitude ( decibels) and p gp g (in ) phase ( degrees) (in g ) of a transfer function versus frequency 20log10 H HH... Frequency Response - sites.google.com/site/ncpdhbkhn 18 Bode Plots (8) H j H dB 20log10 1 z1 j H( ) 1 z1 tan 1 z1 25 20 15 10 5 0 -5 0.1z1 z1 10z1 Frequency Response - sites.google.com/site/ncpdhbkhn 19 Bode Plots (9) j H dB 20log10 1 z1 j H( ) 1 z1 tan 1 z1 100 90 80 70 60 50 40 30 20 10 0 0.1z1 z1 10z1 Frequency. .. Plots (5) H dB 20log10 H( ) j o 90 H 90o 20 0 20 0.1 1 10 0o 0.1 1 Frequency Response - sites.google.com/site/ncpdhbkhn 10 16 Bode Plots (6) H j H dB 20log10 1 p1 1 H( ) j tan 1 1 p1 p1 5 0 -5 -10 -15 -20 -25 0.1p1 p1 10 p1 Frequency Response - sites.google.com/site/ncpdhbkhn 17 Bode Plots (7) j H dB 20log10 1 p1 1... 0.2 -160 2 0.05 -180 Frequency Response - sites.google.com/site/ncpdhbkhn 22 Bode Plots (12) 2 j 2 2 j H dB H dB 20log10 1 2 n j n j 2 2 H( ) 1 n n j 2 2 / n tan 1 1 2 / 2 n 40 30 H 2 1.5 2 0.707 20 10 2 0.4 0 -10 -20 2 0 2 0.2 2 0.05 0.11 1 101 Frequency Response - sites.google.com/site/ncpdhbkhn... 0.2 140 2 0 4 0.4 120 100 80 60 40 2 0.707 2 1.5 20 0 0.11 1 101 Frequency Response - sites.google.com/site/ncpdhbkhn 1001 24 Bode Plots (14) 1 ( j ) N ( j ) N K 20 N dB/decade 20 log10 K 1 1 j 1 z N 20 N dB/decade 20 N dB/decade z 90 N o 90 N o 0o 90 N o 0o z 10 Frequency Response - sites.google.com/site/ncpdhbkhn z 10z 10 25 Bode Plots (15) 1 j... 1 1 /5 /10 Frequency Response - sites.google.com/site/ncpdhbkhn 27 Bode Plots (17) Ex 1 Construct the Bode plots for H( ) p 10 j 500 j ( j 5)( j 10) (1 j / 5)(1 j /10) H dB 20log10 10 20log10 j 20log10 H K 20 log10 K 1 1 20log10 1 j / 5 1 j /10 40 20log10 10 30 20 10 0 -10 -20 0.1 1 5 10 20 Frequency Response - sites.google.com/site/ncpdhbkhn... 0.1 1 5 10 20 1 1 j /10 100 Frequency Response - sites.google.com/site/ncpdhbkhn 200 500 32 Bode Plots (22) Ex 1 Construct the Bode plots for H( ) p 10 j 500 j ( j 5)( j 10) (1 j / 5)(1 j /10) 1 1 tan 1 /5 /10 90o tan 1 90o 90 ( j ) N 60 40 20 0 -20 -40 -60 90N o -90 0.1 0.5 1 5 10 20 50 100 200 Frequency Response - sites.google.com/site/ncpdhbkhn... 10 20 50 100 200 Frequency Response - sites.google.com/site/ncpdhbkhn 35 500 Bode Plots (25) Ex 1 Construct the Bode plots for H( ) p 10 j 500 j ( j 5)( j 10) (1 j / 5)(1 j /10) 1 1 tan 1 /5 /10 90o tan 1 90o 90 60 40 20 0 -20 -40 -60 1 tan 1 /10 1 tan 1 /5 -90 0.1 0.5 1 5 10 20 50 100 200 Frequency Response - sites.google.com/site/ncpdhbkhn... 0.1z1 z1 10z1 Frequency Response - sites.google.com/site/ncpdhbkhn 100z1 20 Bode Plots (10) 2 j 2 2 j H dB H dB 20log10 1 n n 1 H( ) 2 j 2 2 j j 2 2 / n 1 tan 1 n 1 2 / 2 n n 20 2 0.05 H 10 2 0.2 0 2 0.4 -10 -20 2 0.707 2 1.5 -30 -40 0.11 1 101 1001 Frequency Response - sites.google.com/site/ncpdhbkhn . Circuits 13. Frequency Response 14 The Laplace Transform 14 . The Laplace Transform 15. Two-port Networks Frequency Response - sites.google.com/site/ncpdhbkhn 2 Frequenc y Response • Transfer. sketch its frequency response. – () s vt o v 2H 42 1 2 16 100 5 ; tan vv H 2 ; 425 2 vv 1 80 90 0.6 0.8 () v H 50 60 70 80 0.2 0.4 10 20 30 40 () v Frequency Response. Scaling Frequency Response - sites.google.com/site/ncpdhbkhn 9 The Decibel Scale P 2 10 1 log P G P 2 10 1 10log dB P G P 2 10 1 20log dB V G V 2 10 1 20log dB I G I Frequency Response