l36 - 16.06 Lecture 36 Bode Diagrams Karen Willcox December...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
16.06 Lecture 36 Bode Diagrams Karen Willcox December 3, 2003 Today’s Topics 1. Simple Lag 2. Quadratic Lag 3. Bode diagram construction 4. Bode diagram examples Reading : 7.5 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
1 1 Simple Lag 1 Consider a simple lag term: S j ω T +1 = M = M dB = φ = If ω<< 1 /T , ωT << 1 M M dB φ This gives us the If ω>> 1 /T , ωT >> 1 M M dB φ This gives us the 2
Background image of page 2
Draw the asymptotic approximation: The asymptotes meet at the break frequency or corner frequency . If ω =1 /T ωT = M = M dB = φ = 3
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Insert Bode diagram for a simple lag 4
Background image of page 4
Some details of first-order factors: 1. The true curves depart from the asymptotic approximations by ± 0 . 15 log units or ± 3dBat ω =1 /T . 2. One octave below the break frequency the angle is 26 . 6 3. One octave above the break frequency the angle is 90 + 26 . 6= 63 . 4 4. One decade below the break frequency the angle is 5 . 7 5. One decade above the break frequency the angle is 90+5 . 7= 84 . 3 5
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 12

l36 - 16.06 Lecture 36 Bode Diagrams Karen Willcox December...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online