- #1
influx
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How did they get the blue box? I know where they got the 0.5 inside the brackets from but not sure about the rest.
The bode plot in my data book has log10(wt) as the x-axis..
What is the significance of using a log scale in bode plots?
- Thread starter influx
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- Bode Bode plot First order Plot Systems
In summary, the blue box contains a formula for converting voltage ratio into decibels, using 20.log10(...). The bode plot in the data book has a log10(wt) frequency axis, which has been normalized and scaled logarithmically to cover a wide frequency range without needing a large graph paper. Alternatively, they could have used log-log graph paper instead of taking logs of the data values.
How did they get the blue box? I know where they got the 0.5 inside the brackets from but not sure about the rest.
The bode plot in my data book has log10(wt) as the x-axis..
- #2
NascentOxygen
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The formula in the blue box: that's how you convert from a voltage ratio into decibels, 20.log10(...)
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- #3
NascentOxygen
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That's the frequency axis, they have normalized it and used a log scale so the graph can cover a wide frequency range without needing a 2 metre-wide sheet of graph paper. They could have used log-log graph paper instead of taking logs of the data values.influx said:
What is a first-order system?
A first-order system is a type of dynamic system that can be described by a first-order differential equation. It has one integrator, meaning that its output is directly proportional to its input, with a time constant that determines the rate of change of the output.
What is a Bode plot?
A Bode plot is a graphical representation of the frequency response of a system. It plots the magnitude and phase of the system's output as a function of frequency. It is commonly used in control systems to analyze the stability and performance of a system.
What information can be obtained from a Bode plot?
A Bode plot provides information about the frequency response of a system, including its gain (or magnitude) and phase. It can also be used to determine the stability of a system and identify any resonant frequencies.
How do you interpret a Bode plot?
In a Bode plot, the horizontal axis represents frequency in logarithmic scale, while the vertical axis represents gain (in decibels) and phase angle (in degrees). A Bode plot can be interpreted to determine the gain and phase margins of a system, which indicate the stability of the system. Additionally, the slope of the magnitude plot can indicate the order of the system.
How is a first-order system represented in a Bode plot?
A first-order system is represented by a single pole in the Bode plot. The magnitude plot decreases at a rate of -20 dB/decade, while the phase plot decreases at a rate of -90 degrees/decade. The time constant of the system can be determined from the frequency at which the magnitude plot crosses the -3 dB point.
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