Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 10, Problem 10.12P
In a circuit in which a sinusoidal voltage source drives its internal impedance in series with a load impedance, maximum power transfer to the load occurs when the source and load impedances form a complex conjugate pair. Suppose the source (with its internal impedance) now drives a complex load of impedance ZL = RL +XL that has been moved to the end of a lossless transmission line of length
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1. A process is modeled by:
=
0.2 0.5
1(k)`
(23(k+1)) - (0² 15) (2x()) + (1)(k)
(0.2
y(k) = (1 0) (21(k))
Determine:
a) (7 points) The gain matrix of a pole-placement servo-controller type 1, considering the following desired
closed-loop poles: μ₁ = -0.2; 2 = 0.2.
b) (3 points) The controlled output in steady state, considering a step input of 4 units.
2. A process is modeled by:
Y(s)
Gp(s) =
U(s)
Determine:
-
5
s(s + 4)
a) (4 points) The parameters of an ideal discrete parallel PD controller, based on the design of a continuous
PD controller, considering that the closed-loop control system meets the following behavior:
•
=
ts 0.2 seconds
• = 0.8
For the discrete part, consider T = 0.01 seconds.
b) (1 point) The detailed block diagram of the closed-loop control system.
3. Dado un proceso con la siguiente función de transferencia:
Gp(s) =
Y(s)
=
4
U(s) (s+2)
a) (3P) Diseñar un controlador PI de tiempo continuo, tal que los polos
deseados de lazo cerrado estén ubicados en: s = -4+4i.
b) (2P) Basado en los parámetros del controlador PI continuo hallado en (a),
obtenga los parámetros del controlador PI discreto, considerando T=0.01
Seg.
Chapter 10 Solutions
Engineering Electromagnetics
Ch. 10 - The parameters of a certain transmission line...Ch. 10 - A sinusoidal wave on a transmission line is...Ch. 10 - Prob. 10.3PCh. 10 - A sinusoidal voltage V0, frequency , and phase...Ch. 10 - Two voltage waves of equal amplitude V0 and radian...Ch. 10 - A 50 load is attached to a 50-m section of the...Ch. 10 - Prob. 10.7PCh. 10 - An absolute measure of power is the dBm scale, in...Ch. 10 - A 100-m transmission line is used to propagate a...Ch. 10 - Two lossless transmission lines having different...
Ch. 10 - Two voltage waves of equal amplitude V0, which...Ch. 10 - In a circuit in which a sinusoidal voltage source...Ch. 10 - The skin effect mechanism in transmission lines is...Ch. 10 - A lossless transmission line having characteristic...Ch. 10 - Figure 10.29 See Problem 10.15. For the...Ch. 10 - A 100 lossless transmission line is connected to a...Ch. 10 - Determine the average power absorbed by each...Ch. 10 - The line shown in Figure 10.31 is lossless. Find s...Ch. 10 - A lossless transmission line is 50 cm in length...Ch. 10 - (a) Determine s on the transmission line of Figure...Ch. 10 - Prob. 10.21PCh. 10 - Prob. 10.22PCh. 10 - The normalized load on a lossless transmission...Ch. 10 - Prob. 10.24PCh. 10 - Prob. 10.25PCh. 10 - A 75 lossless line is of length 1.2 . It is...Ch. 10 - Prob. 10.27PCh. 10 - The wavelength on a certain lossless line is 10...Ch. 10 - Prob. 10.29PCh. 10 - A two-wire line constructed of lossless wire of...Ch. 10 - In order to compare the relative sharpness of the...Ch. 10 - In Figure 10.17, let ZL=250 and Z0=50. Find the...Ch. 10 - In Figure 10.17, let ZL=100+j150 and Z0=100. Find...Ch. 10 - The lossless line shown in Figure 10.35 is...Ch. 10 - Prob. 10.35PCh. 10 - The two-wire lines shown in Figure 10.36 are all...Ch. 10 - Prob. 10.37PCh. 10 - Repeat Problem 10.37, with, Z0=50 and RL=Rg=25....Ch. 10 - In the transmission line of Figure 10.20, Z0=50,...Ch. 10 - In the charged line of Figure 10.25, the...Ch. 10 - In the transmission line of Figure 10.37, the...Ch. 10 - Figure 10.38 See Problem 10.42. A simple frozen...Ch. 10 - Figure 10.39 See Problem 10.43. In Figure 10.39,...
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