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19-Tanzanite
November 17, 2022
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Asymptotic Bode Plot Issue in Mathcad Prime 7

  • November 17, 2022
  • 1 reply
  • 2161 views

Obtaining the ASYMPTOTIC Bode plot for the following transfer function:

CornelBejan_0-1668698404973.png

CornelBejan_1-1668698482728.png

Mathcad Prime 7 result:

CornelBejan_2-1668698520669.png

CornelBejan_3-1668698604411.png

 

Why does the result in the Mathcad Prime 7 not look like it looks like in the figure in the example??
The idea is that I want the plot in Mathcad Prime 7 to look exactly like in the picture above, with straight lines and those corners, and not to bend corners Mathcad Prime 7 at w=2 and w=10.

Mathcad Prime 7 file attached.

 

Best answer by Werner_E

To get the asymptotic approximations you simply have to replace in expressions like 1+j w the 1 for a zero (aka omit it).
For w -> infinity these 1's are neglectable.

Werner_E_0-1668706079851.png

Maybe this link additionally helps to understand: https://lpsa.swarthmore.edu/Bode/BodeHow.html

 

 

1 reply

Werner_E25-Diamond IAnswer
25-Diamond I
November 17, 2022

To get the asymptotic approximations you simply have to replace in expressions like 1+j w the 1 for a zero (aka omit it).
For w -> infinity these 1's are neglectable.

Werner_E_0-1668706079851.png

Maybe this link additionally helps to understand: https://lpsa.swarthmore.edu/Bode/BodeHow.html

 

 

Cornel19-TanzaniteAuthor
19-Tanzanite
November 18, 2022

Mathcad 15 result:

1.png

2.png


Mathcad Prime 7 result:

CornelBejan_4-1668758288427.png

 

CornelBejan_2-1668757901817.png

CornelBejan_3-1668757977993.png

 

At w = 10, let's say it's something more ok (even if it's not even right angle there at the intersection (as it kind looks like in Mathcad 15)), but at w = 2 why is not ok (only somewhere at w=~ 2.1 seems to be more ok/accurate)?

The same results, no matter where I put the greater than or equal sign (so that it also contains the end values ​​w=2 and w=10):

CornelBejan_0-1668759036458.png

CornelBejan_1-1668759084725.png

CornelBejan_2-1668759109966.png

 

CornelBejan_3-1668759167824.png

CornelBejan_4-1668759191254.png

CornelBejan_5-1668759217640.png


Mathcad Prime 7 file attached.

 

Cornel19-TanzaniteAuthor
19-Tanzanite
November 18, 2022

@Werner_E I think I found the answer. At least that's how it seems to me so far, but I'll post if I find anything else...

 

CornelBejan_5-1668764504178.png

 

 

CornelBejan_6-1668764524426.png

 

 

CornelBejan_3-1668764470613.png

CornelBejan_7-1668764547775.png

 

CornelBejan_8-1668764658245.png

CornelBejan_9-1668764676351.png


Thank you.