1. For the transfer function to the right do the following: 1.25x10“s² +2.5s+500 Determine the zeros. H(s) = a. b. 5x1015 s³ +1.625x10°s² + 2.08×x10*s+1 Determine the poles. You will probably have to use a calculator, MATLAB, or an on-line factoring calculator to factor the 3rd-degree denominator polynomial. Determine the corner frequencies for the zeros. Determine the corner frequencies for the poles. c. d. Problem statement continued on next page. 1. (cont.) Express the transfer function in factored form using a quadratic pole to avoid complex numbers. Simplify. Express the transfer function in Bode factored form Simplify. 1.25 x10s² + 2.5s + 500 -6 H(s) = 5x10 1 s³ +1.625x10°s² +2.08×10*s+1 e. -15 -9.2 f.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.16P
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Question
1.
For the transfer function to the right do the following:
1.25x10“s² +2.5s+500
Determine the zeros.
H(s) =
a.
b.
5x1015 s³ +1.625x10°s² + 2.08×x10*s+1
Determine the poles. You will probably have to use a
calculator, MATLAB, or an on-line factoring calculator
to factor the 3rd-degree denominator polynomial.
Determine the corner frequencies for the zeros.
Determine the corner frequencies for the poles.
c.
d.
Problem statement continued on next page.
Transcribed Image Text:1. For the transfer function to the right do the following: 1.25x10“s² +2.5s+500 Determine the zeros. H(s) = a. b. 5x1015 s³ +1.625x10°s² + 2.08×x10*s+1 Determine the poles. You will probably have to use a calculator, MATLAB, or an on-line factoring calculator to factor the 3rd-degree denominator polynomial. Determine the corner frequencies for the zeros. Determine the corner frequencies for the poles. c. d. Problem statement continued on next page.
1.
(cont.)
Express the transfer function in factored form using a
quadratic pole to avoid complex numbers. Simplify.
Express the transfer function in Bode factored form
Simplify.
1.25 x10s² + 2.5s + 500
-6
H(s) =
5x10 1 s³ +1.625x10°s² +2.08×10*s+1
e.
-15
-9.2
f.
Transcribed Image Text:1. (cont.) Express the transfer function in factored form using a quadratic pole to avoid complex numbers. Simplify. Express the transfer function in Bode factored form Simplify. 1.25 x10s² + 2.5s + 500 -6 H(s) = 5x10 1 s³ +1.625x10°s² +2.08×10*s+1 e. -15 -9.2 f.
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