Single Pole Responseweb.eecs.utk.edu/~dcostine/ECE481/Fall2015/lectures/L26...10/22/2015 2 Summary:...

10
10/22/2015 1 Single Pole Response Plotting a Single Pole Response

Transcript of Single Pole Responseweb.eecs.utk.edu/~dcostine/ECE481/Fall2015/lectures/L26...10/22/2015 2 Summary:...

Page 1: Single Pole Responseweb.eecs.utk.edu/~dcostine/ECE481/Fall2015/lectures/L26...10/22/2015 2 Summary: Single Real Pole Bode Plot: Real Zero 10/22/2015 3 RHP Zero Inverted Pole 10/22/2015

10/22/2015

1

Single Pole Response

Plotting a Single Pole Response

Page 2: Single Pole Responseweb.eecs.utk.edu/~dcostine/ECE481/Fall2015/lectures/L26...10/22/2015 2 Summary: Single Real Pole Bode Plot: Real Zero 10/22/2015 3 RHP Zero Inverted Pole 10/22/2015

10/22/2015

2

Summary: Single Real Pole

Bode Plot: Real Zero

Page 3: Single Pole Responseweb.eecs.utk.edu/~dcostine/ECE481/Fall2015/lectures/L26...10/22/2015 2 Summary: Single Real Pole Bode Plot: Real Zero 10/22/2015 3 RHP Zero Inverted Pole 10/22/2015

10/22/2015

3

RHP Zero

Inverted Pole

Page 4: Single Pole Responseweb.eecs.utk.edu/~dcostine/ECE481/Fall2015/lectures/L26...10/22/2015 2 Summary: Single Real Pole Bode Plot: Real Zero 10/22/2015 3 RHP Zero Inverted Pole 10/22/2015

10/22/2015

4

Inverted Zero

Multiplying Transfer Functions

Page 5: Single Pole Responseweb.eecs.utk.edu/~dcostine/ECE481/Fall2015/lectures/L26...10/22/2015 2 Summary: Single Real Pole Bode Plot: Real Zero 10/22/2015 3 RHP Zero Inverted Pole 10/22/2015

10/22/2015

5

Example 1 

Example 1 

Page 6: Single Pole Responseweb.eecs.utk.edu/~dcostine/ECE481/Fall2015/lectures/L26...10/22/2015 2 Summary: Single Real Pole Bode Plot: Real Zero 10/22/2015 3 RHP Zero Inverted Pole 10/22/2015

10/22/2015

6

Example 2

Page 7: Single Pole Responseweb.eecs.utk.edu/~dcostine/ECE481/Fall2015/lectures/L26...10/22/2015 2 Summary: Single Real Pole Bode Plot: Real Zero 10/22/2015 3 RHP Zero Inverted Pole 10/22/2015

10/22/2015

7

8.1.6 Resonant Poles 

Standard Form for Complex Poles

Page 8: Single Pole Responseweb.eecs.utk.edu/~dcostine/ECE481/Fall2015/lectures/L26...10/22/2015 2 Summary: Single Real Pole Bode Plot: Real Zero 10/22/2015 3 RHP Zero Inverted Pole 10/22/2015

10/22/2015

8

The Q Factor

Magnitude Asymptotes

Page 9: Single Pole Responseweb.eecs.utk.edu/~dcostine/ECE481/Fall2015/lectures/L26...10/22/2015 2 Summary: Single Real Pole Bode Plot: Real Zero 10/22/2015 3 RHP Zero Inverted Pole 10/22/2015

10/22/2015

9

Exact Magnitude Curve

Curves for Varying Q

Page 10: Single Pole Responseweb.eecs.utk.edu/~dcostine/ECE481/Fall2015/lectures/L26...10/22/2015 2 Summary: Single Real Pole Bode Plot: Real Zero 10/22/2015 3 RHP Zero Inverted Pole 10/22/2015

10/22/2015

10

Summary: Asymptotes for Complex Poles

Magnitude Phase

The Low‐Q Approximation