Stability Analysis of a given system Using Bode Plot
The transfer function is
1. What will the system's phase margin be if the estimated phase angle at the gain crossover frequency is -105°?
(Choose 1 answer)
75
35
2. Bode plot is applicable for
(Choose 1 answer)
Minimum phase network
Non-Minimum phase network
3. The frequency at which the phase angle is 180 degree is called _________ frequency.
(Choose 1 answer)
Phase crossover
Critical
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Enter the corner frequencies
Corner frequency 1:
Corner frequency 2:
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Hint
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The frequency at which the two asymptotes cuts or meet
Corner frequency 1: 0.25 rad/sec
Corner frequency 2: 0.333 rad/sec
Enter the slope of each factor
Slope 1:
Slope 2:
Slope 3:
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Hint
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slope of each factor in the given transfer function
slope 1: -20
slope 2: - 20
slope 3: - 20
Enter the change in slope between each factor in db/decade
Slope 1:
Slope 2:
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Hint
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Change in the slope between each factor
slope 1: -40
slope 2: - 60
Enter the gain value for lower and higher corner frequencies as specified in the simulator in db
Gain for lower corner frequency
Gain for higher corner frequency
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Hint
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Lower and Higher corner frequencies are 0.15 and 1.5 rad/sec
Lower Corner Frequency: 42.5
Higher corner Frequency: - 6.22
Enter the gain value for calculated corner frequencies for the given transfer function in db
Gain for first corner frequency
Gain for second corner frequency
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Hint
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First Corner: 38
Second corner: 33
Enter the phase angle values for the four corner frequencies in degree
Phase angle 1
Phase angle 2
Phase angle 3
Phase angle 4
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Hint
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Phase angle 1 : -146
Phase angle 2 : -172
Phase angle 3 : -187
Phase angle 4 : -248
Enter the gain cross over frequency, gain crossover angle and phase margin
Gain crossover frequency (ωgc)
Gain crossover angle(ɸgc)
Phase Margin(ɣ)
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Hint
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Gain crossover frequency (ωgc) : 1.16 rad/sec
Gain crossover angle(ɸgc) : -242 degree
Phase Margin(ɣ) : -62 degree
Enter the phase cross over frequency and gain margin
Phase crossover frequency(ωpc)
Gain Margin(GM)
System is Stable or Not
Check Answer
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Hint
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Phase crossover frequency(ωpc) : 0.289 rad/sec
Gain Margin(GM) : -30.7 db
No
