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Cramster Expert

shann(EE-SME)

(Cramster SME)

Moderator

Cramster In-House Subject Matter Expert

Date Posted: 7/16/2008 2:53:52 AM Status: Live

Asker's Rating: Lifesaver

Response:

From the given magnitude bode diagram we can write frequencies on X-axis as below:

(Log scale)

1 = 1rad/sec;

2 = 10rad/sec;

3 = 100rad/sec;

4 = 1000rad/sec;

5 = 10000rad/sec;

6 = 100000rad/sec;

7 = 1000000rad/sec;

8 = 10000000rad/sec;

9 = 100000000rad/sec;

etc,.

-20dB/decade slope at

+20dB/decade slope at

-20dB/decade slope at

Now we can wtite the transfer function as below:

............... (1)

............... (2)

From the plot we can say that gain is 100dB for lower frequencies compared to the above two poles and a zero.

So we can modify the equation (2) as below:

Now equation (1) becomes

Code for magnitude and phase plots using Matlab:

>> x=tf([10000000000,10000000000000000],[1,10000+10000000,100000000000])

Transfer function:
1e010 s + 1e016
-------------------------
s^2 + 1.001e007 s + 1e011

>> bode(x)
>> grid

I hope this helps you...........................

Colonel's Comment:

thanks alot this is realy helped :-)

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Electronics + Help me = LIFESAVER

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