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1. (65 points) Write a Python program to draw Bode plots for a pathway of arbitrary length. The program should use the transfer function equation (SI - A)¹B that we discussed in class to compute the amplitude and phase plots. A python function to compute B is provided for you. See end of assignment. The program should be split into python functions rather than be one block of code. For exam- ple, you might have specific functions to compute the amplitude and phase given a complex number, you might have a function that does the actual plotting of the Bode plots. Use the subplot feature of matplotlib to plot the amplitude and phase plots side by side. Add appropriate labeling to the x and y axis and make sure each plot has a title to indicate what kind of plot it is. Here is an example of what a plot might look like: Decibels Amplitude Plot Phase Plot 0 0 -10 -25 -20 -50 -30 -40 Degrees -75 -100 -50 -125 -60 -150 -70 -175 -80 10-5 10-3 10-1 Frequency, rad/sec 10¹ 10-5 10-3 10-1 Frequency, rad/sec 10¹ For extra credit you can also add a grid to both plots. You should test and confirm that your program gives the correct Bode plots for a first order model such as: r te.loada (')) ''') $Xo -> x1; k1*Xo x1 ->%; k2*x1 Xo = 1 k1 0.6; k2 = 1.8%; You can use WolframAlpha to confirm that your program is working correctly. For example, the following command will generate the Bode plots for a first-order transfer function. Bode plot of the transfer function 3/(s+1) Obviously to do this you will need to derive the transfer function in order to obtain the coeffi- cients.

1. (65 points) Write a Python program to draw Bode plots for a pathway of arbitrary length. The program should use the transfer function equation (SI - A)¹B that we discussed in class to compute the amplitude and phase plots. A python function to compute B is provided for you. See end of assignment. The program should be split into python functions rather than be one block of code. For exam- ple, you might have specific functions to compute the amplitude and phase given a complex number, you might have a function that does the actual plotting of the Bode plots. Use the subplot feature of matplotlib to plot the amplitude and phase plots side by side. Add appropriate labeling to the x and y axis and make sure each plot has a title to indicate what kind of plot it is. Here is an example of what a plot might look like: Decibels Amplitude Plot Phase Plot 0 0 -10 -25 -20 -50 -30 -40 Degrees -75 -100 -50 -125 -60 -150 -70 -175 -80 10-5 10-3 10-1 Frequency, rad/sec 10¹ 10-5 10-3 10-1 Frequency, rad/sec 10¹ For extra credit you can also add a grid to both plots. You should test and confirm that your program gives the correct Bode plots for a first order model such as: r te.loada (')) ''') $Xo -> x1; k1*Xo x1 ->%; k2*x1 Xo = 1 k1 0.6; k2 = 1.8%; You can use WolframAlpha to confirm that your program is working correctly. For example, the following command will generate the Bode plots for a first-order transfer function. Bode plot of the transfer function 3/(s+1) Obviously to do this you will need to derive the transfer function in order to obtain the coeffi- cients.

Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter15: Alternating Current
Section: Chapter Questions
Problem 4RQ: 4. What is frequency?
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Help with homework, with the extra portion part too please

1. (65 points) Write a Python program to draw Bode plots for a pathway of arbitrary length. The program should use the transfer function equation (SI - A)¹B that we discussed in class to compute the amplitude and phase plots. A python function to compute B is provided for you. See end of assignment. The program should be split into python functions rather than be one block of code. For exam- ple, you might have specific functions to compute the amplitude and phase given a complex number, you might have a function that does the actual plotting of the Bode plots. Use the subplot feature of matplotlib to plot the amplitude and phase plots side by side. Add appropriate labeling to the x and y axis and make sure each plot has a title to indicate what kind of plot it is. Here is an example of what a plot might look like: Decibels Amplitude Plot Phase Plot 0 0 -10 -25 -20 -50 -30 -40 Degrees -75 -100 -50 -125 -60 -150 -70 -175 -80 10-5 10-3 10-1 Frequency, rad/sec 10¹ 10-5 10-3 10-1 Frequency, rad/sec 10¹ For extra credit you can also add a grid to both plots. You should test and confirm that your program gives the correct Bode plots for a first order model such as: r te.loada (')) ''') $Xo -> x1; k1*Xo x1 ->%; k2*x1 Xo = 1 k1 0.6; k2 = 1.8%; You can use WolframAlpha to confirm that your program is working correctly. For example, the following command will generate the Bode plots for a first-order transfer function. Bode plot of the transfer function 3/(s+1) Obviously to do this you will need to derive the transfer function in order to obtain the coeffi- cients.
Transcribed Image Text:1. (65 points) Write a Python program to draw Bode plots for a pathway of arbitrary length. The program should use the transfer function equation (SI - A)¹B that we discussed in class to compute the amplitude and phase plots. A python function to compute B is provided for you. See end of assignment. The program should be split into python functions rather than be one block of code. For exam- ple, you might have specific functions to compute the amplitude and phase given a complex number, you might have a function that does the actual plotting of the Bode plots. Use the subplot feature of matplotlib to plot the amplitude and phase plots side by side. Add appropriate labeling to the x and y axis and make sure each plot has a title to indicate what kind of plot it is. Here is an example of what a plot might look like: Decibels Amplitude Plot Phase Plot 0 0 -10 -25 -20 -50 -30 -40 Degrees -75 -100 -50 -125 -60 -150 -70 -175 -80 10-5 10-3 10-1 Frequency, rad/sec 10¹ 10-5 10-3 10-1 Frequency, rad/sec 10¹ For extra credit you can also add a grid to both plots. You should test and confirm that your program gives the correct Bode plots for a first order model such as: r te.loada (')) ''') $Xo -> x1; k1*Xo x1 ->%; k2*x1 Xo = 1 k1 0.6; k2 = 1.8%; You can use WolframAlpha to confirm that your program is working correctly. For example, the following command will generate the Bode plots for a first-order transfer function. Bode plot of the transfer function 3/(s+1) Obviously to do this you will need to derive the transfer function in order to obtain the coeffi- cients.
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