ch17_solutions

ch17_solutions - 17-6.1Avs 29=25s2s 1(29s 20(29| Amid=25 |...

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Unformatted text preview: 17-635CHAPTER 17 17.1Avs( 29=25s2s+1(29s+20(29| Amid=25 | FLs( 29=s2s+1(29s+20(29| Poles : -1,-20 | Zeros : 0,0yes, s=-20 | Avs( 29≈25ss+20(29| wL= 20rads| fL=wL2p2245202p=3.18HzfL=12p202+12-2 0( 292-2 0( 292=3.19HzAvjw(29=25w2w2+12w2+202| MATLAB : -3.19 Hz17.2Avs( 29=250s2s+100(29s+500(29| Amid=250 | FLs( 29=s2s+100(29s+500(29Poles : -100,-500 rads| Zeros : 0, 0 | Yes, a 5 :1 split is sufficient | s=-500Avs( 29≈250ss+500(29| wL2245500rads| fL22455002p=79.6 HzfL224512p1002+5002-2 0( 292-2 0( 292=81.2 HzAvjw(29=250w2w2+1002w2+5002| MATLAB : 82.6 Hz17.3Avs( 29= -150s s+15(29s+12(29s+20(29| Amid= -150 | FLs( 29=s s+15(29s+12(29s+20(29Poles : -12, - 20 rads| Zeros : 0, -15 rads| No, the poles and zeros are closely spaced.fL224512p122+202-2 0( 292-2 15( 292=1.54 HzAvjw(29=150w w2+152w2+122w2+202| MATLAB : fL=2.72 Hz | wL=17.1radsNote that ϖL =17.1 rad/s does not satisfy the assumption used to obtain Eq. (17.15), and the estimate using Eq. (17.15) is rather poor. 17-636 17.4Avs( 29=2x1011(2910-4(2910-5(29s104+1s105+1=200s104+1s105+1| Amid=200 | FHs( 29=1s104+1s105+1Poles : -104,-105rads| Yes : Avs( 29≈200s104+1| wH2245104rads| fH22451042p=1.59kHzfH224512p11042+11052-21∞2-21∞2-1=1.58 kHzAvjw(29=2x1011w2+104( 292w2+105( 292| MATLAB : fH=1.58 kHz17.5Avs( 29=2x109(291+s2x1091071+s1071+s109= 2001+s2x1091+s1071+s109Amid=200 | FHs( 29=1+s2x1091+s1071+s109| Poles : -107, -109Zeros : - 2x109, ∞Yes : Avs( 29≈2001+s107| wH2245107rads| fH22451042p=1.59 MHzfH=12p11072+11092-212x1092-21∞2-1=1.59 MHzAvjw(29=2x109w2+2x109(292w2+107( 292w2+109( 292| MATLAB : fH=1.59 MHz17.6Avs( 29=4x109(295x105(291+s5x1051.3x105(292x106(291+s1.3x1051+s2x106= 76921+s5x1051+s1.3x1051+s2x10617-637Amid=7692 | FHs( 29=1+s5x1051+s1.3x1051+s2x106| Poles : -1.3x105, - 2x106radsZeros : - 5x105rads, ∞| No, the poles and zeros are closely spaced and will interact.fH224512p11.31052+12x1062-215x1052-21∞2-1=22.2 kHzAvjw(29=4x109w2+5x105(292w2+1.3x105(292w2+2x106(292| MATLAB : 22.1 kHz17.7Avs( 29=108500 1000(29s2s+1(29s+2(2911+s5001+s1000Avs( 29=200s2s+1(29s+2(2911+s5001+s1000=200FLs( 29FHs( 29Poles; -1, - 2, - 500, -1000 rads| Zeros : 0, 0,...
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This note was uploaded on 01/17/2011 for the course ECE 3040 taught by Professor Hamblen during the Fall '07 term at Georgia Tech.

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ch17_solutions - 17-6.1Avs 29=25s2s 1(29s 20(29| Amid=25 |...

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