Question

Draw the Bode plot of magnitude and phase for the following system. Find the magnitude at corner frequencies. G(s)=10^2(s+30)(s/10+30)^2/(s+3)2 In moodle write down the corner frequencies and the exact magnitude at corner frequencies

Answer #1

plot bode diagram :
G(s)=6/s^2(s+10)(s+2)

Sketch the Nyquist plot based on the Bode plots for following
system using MATLAB. Make sure it crosses the real axis at the
right spot(correct number of -1 encirclements and goes off to
infinity in the correct direction). Using the plot estimate the
range of K for which system is stable, and qualitatively verify
result by using sketch of a root locus plot.
GH(s)=K*(0.5s+1)*(s+1)/(10s+1)/(s-1)

1. Write a MATLAB function to determine the discrete-time
Fourier Transform (H(?)) of the following sequence. Plot its
magnitude and phase. You can use the dtft command and use the abs,
angle and plot commands to plot the results.
x(n) = {4, 3, 2, 1, 2, 3, 4}.
2. Analytically determine H(z) and plot its magnitude and phase
for the following system using freqz.
y(n) = 2x(n) + x(n ? 1) ? 0.25y(n ? 1) + 0.25y(n ? 2).
3....

1)
Calculate the magnitude of the linear momentum for the following
cases.
(a) a proton with mass 1.67 10-27 kg,
moving with a speed of 4.65 106 m/s
kg · m/s
(b) a 17.5-g bullet moving with a speed of 340 m/s
kg · m/s
(c) a 73.5-kg sprinter running with a speed of 12.5 m/s
kg · m/s
(d) the Earth (mass = 5.98 1024 kg) moving
with an orbital speed equal to 2.98 104
m/s.
kg · m/s
2)
A soccer player...

(a) Find the five-number summary, and (b) draw a
box-and-whisker plot of the data.
three
8
8
6
2
9
8
7
9
6
9
3
2
6
2
9
8
7
7
9
(a) min=__(simplify answer)
Q1=__ (simplify answer don't round)
Q2=___(simplify answer don't round)
Q3=__(simplify answer don't round)
max=___(simplify answer)
b) make correct box and whisker plot

A 3 phase alternator derived by wind Turbine is designed to
generate a maximum of 400kw at wind speed of 15 m/s. The internal
generated voltage of the alternator at rated rotor speed is Eo= 480
v/phase, and the synchronous reactance of the alternator is 1.0
ohm. The output of the alternator is connected to an infinite
busbar of 420 v/phase through transmission lines that have
reactance of 10 ohm per phase. Draw the per phase equivalent
circuit of the...

For the function, f (x) = X2-4X + 2XY + 2Y2 + 2Y +14 Plot the
surface function for X over [5 6]. and Y over [-4. -2],. Draw the
contour plot for X over [0 10]. and Y over [-4. -2] and values for
the contours of V=[1 1.25 1.5 2 2.5 3]; Write an m-file to find the
minimum of the function using the gradient descent method. Use a
starting value of [4. -4].

Problem 2: Fogler 6-6 (a-g), pg. 363 Consider the following
system of gas-phase reactions: A X ??? 1/2 X A 1 r kC = 3 1/2 1 k =
? 0.004 (mol/dm ) min A B ??? B A 2 r kC = 1 2 k 0.3 min? = A ???Y
2 Y A 3 r kC = 3 3 k = ? 0.25 dm /mol min B is the desired product,
and X and Y are foul pollutants that...

Q3 There are 2 transformers in series in a 3-phase supply system
with the following ratings: 66/33 kV, 15 MVA (T1) and 33/6 kV, 5
MVA (T2). The leakage impedances given in the name plates are: 7%
for T1 and 6% for T2. Find their combined per unit impedance
(assuming a suitable base MVA) and the fault MVA and the fault
current at the 6 kV terminals of T2

System 3 : Consider the discrete time system represented by the
following difference equation:
y(n) ? x(n) ? x(n ? 2) ? 0.8y(n ?1) ? 0.64 y(n ? 2)
a) Draw the corresponding BLOCK DIAGRAM
b) Obtain the TRANSFER FUNCTION, H(z) , for this
system.
c) Calculate and plot the POLES and ZEROS of the transfer
function.
d) State the FREQUENCY RESPONSE Equation , H(ej? ) ,
for this system.
System 4 : Consider the discrete time system represented by...

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