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If a Nyquist plot of G (jω) H (jω) for a closed loop system passes through (-2, j0) point in GH plane, what would be the value of gain margin of the system in dB?
- a)0 dB
- b)2.0201 dB
- c)4 dB
- d)6.0205 dB
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If a Nyquist plot of G (jω) H (jω) for a closed loop syste...
Answer: d
Explanation: Gain Margin is calculated by taking inverse of the gain where the Nyquist plot cuts the real axis.
Explanation: Gain Margin is calculated by taking inverse of the gain where the Nyquist plot cuts the real axis.
Most Upvoted Answer
If a Nyquist plot of G (jω) H (jω) for a closed loop syste...
Ω) is given, how can we determine stability of the system?
To determine the stability of a system from a Nyquist plot, we need to look at the plot's behavior as the frequency approaches infinity. If the plot encircles the (-1,0) point in a counterclockwise direction, the system is stable. If the plot does not encircle the (-1,0) point at all or if it encircles it in a clockwise direction, the system is unstable.
Another way to determine stability from a Nyquist plot is to examine the phase margin. The phase margin is the amount of phase shift required to bring the Nyquist plot to the (-1,0) point. If the phase margin is positive, the system is stable. If the phase margin is negative, the system is unstable. A phase margin of zero indicates that the system is on the verge of instability.
In summary, the stability of a system can be determined from a Nyquist plot by examining the plot's behavior near the (-1,0) point and by calculating the phase margin.
To determine the stability of a system from a Nyquist plot, we need to look at the plot's behavior as the frequency approaches infinity. If the plot encircles the (-1,0) point in a counterclockwise direction, the system is stable. If the plot does not encircle the (-1,0) point at all or if it encircles it in a clockwise direction, the system is unstable.
Another way to determine stability from a Nyquist plot is to examine the phase margin. The phase margin is the amount of phase shift required to bring the Nyquist plot to the (-1,0) point. If the phase margin is positive, the system is stable. If the phase margin is negative, the system is unstable. A phase margin of zero indicates that the system is on the verge of instability.
In summary, the stability of a system can be determined from a Nyquist plot by examining the plot's behavior near the (-1,0) point and by calculating the phase margin.
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