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Hi all
I am studying the software PLL codes provided by TI.
There are two documents for the explanation of that implementation. One is SPRABT3A and other one is in the digital power sdk library reference guide.
For kp and ki calculation, both guides used same exact parameters but somehow ended up with different answers. Please provide explanation for this.
Following two lines from sdk design guide and the SPRABT3A document.
"Now using settling time to be 30ms and the error band to be 5% and damping ratio to be 0.7 we can obtain the natural frequency to be 119.014 and then back substituting we get kp=166.6 and ki=27755.55. "
"Using settling time as 30 ms, and the error band as 5% and damping ratio to be 0.7, the natural frequency is obtained to be 158.6859. Back substituting Kp =222.1603 and Ki = 25181.22"
Also what is the meaning of Ti in following equation.
Cannot find how ki value was calculated.
Also, here are some strange relationships i encountered in above values.
1st statement- ki is eqal to square of kp. 166.6^2=27755.56
2nd statement- ki is equal to square of wn. 158.6859^2 =25181.2148
Regards
Damith
Whichever coefficient used in the code is the more optimized value. We verified these using the the control loop Bode plot. The control Bode plot was generated by SFRA.
Ti is the integral time
The question is , what is the correct value from above two values.
Is it a calculation mistake?.
Dear Shamim
What is the correct value in the above two documents.
This is need to verify the calculations. Because the two documents have some explanation gaps. Cannot find the way it is calculated unless knowing what is the correct value.
"Whichever coefficient used in the code" is not suitable for every scenario. We need to calculate our own coefficients.
Thank you