ECE634S09_L23_BodePlots2

ECE634S09_L23_BodePlots2 - Bode Plot Examples: Lathi...

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1 March 23, 2009 Daniel S. Brogan - UNH ECE 634 S09 23-1 Bode Plot Examples: Lathi Example 4.25 () ( ) 20 100 21 0 ss Hs + = ++ Sketch Bode plots for the transfer function 100 1 100 11 0 s s ⎛⎞ + ⎜⎟ ⎝⎠ = Rearranging into Bode plot form, 0 Note: for Bode plo s t s jj j σ ωω ω =+ =+ = March 23, 2009 Daniel S. Brogan - UNH ECE 634 S09 23-2 Bode Plot Examples: Lathi Example 4.25 (2) 10 10 10 10 10 10 20log 100 1 100 1 1 0 s s =+ + + −+ + The log-magnitude is () ( ) () 100 1 1 1 100 2 10 s s = + ∠ + ∠+ ∠+ − and the phase is Thus, the total log-magnitude and phase of the transfer function can be found by summing the components of each term. () () () 10 10 10 10 log log log log Note: ab abc c =+−
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2 March 23, 2009 Daniel S. Brogan - UNH ECE 634 S09 23-3 Bode Plot Examples: Lathi Example 4.25 (3) 10 20log 100 40 Magnitud e: = ( ) 100 0 Phase: March 23, 2009 Daniel S. Brogan - UNH ECE 634 S09 23-4 Bode Plot Examples: Lathi Example 4.25 (4) 10 10 Magnitude : s ω = ( ) 90 Phase: s
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3 March 23, 2009 Daniel S. Brogan - UNH ECE 634 S09 23-5 Bode Plot Examples: Lathi Example 4.25 (5) () 10 10 10 10 10 10 10 20log 1 1 100 100 1 0 100 11 0 l o g 2 3 100 40 100 100 s j j ω ωω += + =< ≈+ = = =− > Magnit : ude for ( ) 1 10 1 tan 0 0 10 14 5 l o g 10 1000 100 10 tan 90 1000 Phase: for s < ⎛⎞ ∠+ ≈ ° << ⎜⎟ ⎝⎠ ∞= ° > March 23, 2009 Daniel S. Brogan - UNH ECE 634 S09 23-6 10 01 0 45 log 10 1000 10 90 1000 fo Phase: r °< °⋅ < < °> Bode Plot Examples: Lathi Example 4.25 (6) 10 0 100 3 100 40 100 < = −> f Magnitud e: or 10 1 100 Magnitude: s + 1 100 Phase: s
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4 March 23, 2009 Daniel S. Brogan - UNH ECE 634 S09 23-7 10 00 . 2 45 log 0.2 20 0.2 90 20 Phase for : ω °< °⋅ < < −° > Bode Plot Examples: Lathi Example 4.25 (7) 10 10 02 32 20log 2 2 ωω < −= −+ > fo Magnit r ude: 10 1 2 Magnitude: s 1 2 Phase: s ⎛⎞ −∠ + ⎜⎟ ⎝⎠ March 23, 2009 Daniel S. Brogan - UNH ECE 634 S09 23-8 10 01 45 log 1 100 1 90 100 fo Phase: r < < > Bode Plot Examples: Lathi Example 4.25 (8) 10 0 31 0 20 10 < −+> Magni fr : o d tu e 10 1 10 Magnitude: s 1 10 Phase: s −∠ +
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5 March 23, 2009 Daniel S. Brogan - UNH ECE 634 S09 23-9 Bode Plot Examples: Lathi Example 4.25 (9) The total log-magnitude and phase of the transfer function can be found by summing the components of each term.
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This note was uploaded on 03/05/2009 for the course ECE 651 taught by Professor Messner during the Spring '09 term at New Hampshire.

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ECE634S09_L23_BodePlots2 - Bode Plot Examples: Lathi...

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