Electrical Motor Controls for Integrated Systems
5th Edition
ISBN: 9780826912268
Author: Gary Rockis;Glen A. Mazur
Publisher: American Technical Publishers
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Chapter 18.2, Problem 2CP
To determine
To explain: Whether the voltage sags or voltage swells is the common problem.
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The first photo is question 1
a) Write down the order of the transfer function in each of the following cases. Assume that
there are no terms in the numerator that will cancel terms in the denominator.
10
H(s)
H(s)
=
s+1
5
(s+3)(s—. 4)
4s1
5
H(s)
=
H(s)
-
83 +1
s27s
6
H(s)
H(s)
=
s(s²+4s)
2s27s+1
84583882 +3s+2
H(s)
83 +8
s+1
=
H(s)
s34s26s+5
s52s4383 + 4s2 +5s +6
Question 5 (
A system is found to have zeros of -3 and poles of 4, and -2. The system also has a gain of
4. Write out the corresponding transfer function.
Question 6.
A system has a transfer function of
What is the gain, K, of the system?
Question 7 (
A system has a transfer function of
H(s)
-
4
8+5
H(s):
=
4
8 +5
A step input of size 3 is applied to the system at time zero (Since we're dealing with transfer
functions, x(0) is also zero at time zero).
a) [10] What is the response ✗(s) of the system?
b) [10] Derive the time dependent solution, x(t), of this response
Chapter 18 Solutions
Electrical Motor Controls for Integrated Systems
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- Note: You might want to do the last question first because the last question asks you to write some python code to calculate the zeros and poles. You could use that code here to help you (except the first problem which you should be able to do by inspection alone) Find the poles and zeros for each of the following transfer functions 1. S+3 H(s) = 8 5 2. H(s): = s238 +1 s2 +48 +3 3. s(s+4) H(s) s3+2s23s 4. 82-586 H(s) = - 8382-68 5. H(s): = s2 +48 +3 s45836s2 - 6arrow_forwardWrite python program to plot the zeros and poles if a user provides the coefficients for the numerator and denominator of the transfer function. Since the zeros and poles can be complex, this plot is essentially and argand diagram, where the x axis is the real component and the y axis the imaginary component of a given zero or pole. Create a method called plot-poles zeros(num, den) which takes two lists containing the coefficients. Here is an example and the resulting plot. num [1, 3, 7] # yields zeros at -1.5 +/- 2.17945j den = [1, 4, 5, 3] # yields poles at -2.46557, -0.7672143 +/- 0.7925519j plot_poles_zeros(num, den) Imaginary Page 2 Pole-Zero Plot 3 Zeros × Poles 2 1 -2 1 * Real When you write your code you are only allowed to use the packages numpy and matplotlib. Make sure you label the axes, provide a legend and give a title to your plot (See the example plot). Hint: numpy has a method called roots. When given a list of numbers corresponding to the coefficients of a polynomial,…arrow_forwarda) [10] Compute the zeros and poles for the following transfer function: $2 +5s+6 H(s): s2 +3s+2 b) [10] Factor both polynomials in the numerator and denominator. What does this tell you about one of the poles and zeros you found in a)?arrow_forward
- Pls show neat and whole solutionarrow_forward2. Find the steady-state current i(t) in the circuit shown below when Vs(t) = 100cos(500t -30) volts. Express your answer in cosine form i.e., i(t) Im cos (oot+). (20 pts) LLE) 10052 Vs (E) 40uF 0.3 Harrow_forward1. Determine the thevenin equivalent circuit (i.e., Vth, Zth) from the terminals a-b in the circuit shown below. (15 pts) j512 1052 1020arrow_forward
- Need schematic diagram for this computerized don't use guidelines answer okk will dislikearrow_forwardthe question with its answer but i still dont see how the expansion and the calculation done. please show detailed steps.arrow_forwardQ6) Find the current density J for the magnetic field intensity vectors: (a) H = x²yax + y²zay - 2xzaz pzap + p³a + 3pz²a (b) H = sin cos (c) H = a,arrow_forward
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