How to Find Kp,Ki for PI controller from Gain and Time Constant value Given

Hello !

I have a PSIM circuit model where for the PI Controller Gain and Time constant values are mentioned. I would like to use the same values with Matlab PI controller where input is Proportional Gain and Integral Gain( Kp & Ki)

Any method to find Kp and Ki from Gain and Time constant values mentioned ?

Thanks in Advance

Sreeraj Arole

[hamed hendijani]

sorry how can we calculate time constant and gain of controller having input and output voltage?

[Sam Chak]

@hamed hendijani

Oh, from the info given in the Answer, you can find and first, and then do the reverse to calculate the critical gain K and the Time Constant, .

I know this sounds like 'begging the question'. But if you have a model, please post a new question with relevant formulas to investigate how to calculate K and , not from trial-and-error tuning until you like the results.

By the way, what are input voltage and output voltage ? You are implying that

[hamed hendijani]

my input voltage of cloosed loop boost converter is 24v and out put voltage is 48v

i already designed the simulation of it and i used youtube videos to set proportional to 0.7 and integral to 100 and it works but i want to know from where we can get this values?

[Sam Chak]

I guess that is a part of the system that produce the output from the input .

If your boost converter model is linear, then you can apply the Final Value Theorem learned fron Integral Calculus.

I think is inside the function that you can derive from the Final Value Theorem.

Is the Boost Converter a subsystem of the PSIM circuit? If they are unrelated, please show the mathematical model of the Boost Converter in a New Question.

Answer 1

[Birdman]

Simply, the conversion is as follows(Let K denote gain and Ti denote time constant):

K*(1+1/(Ti*s))

is equal to

Kp+Ki/s

If you equate two expressions, then

Kp=K
Ki=K/Ti

[Sreeraj A]

Really Helpful ! Thank you very much @Birdman

Answer 2

[Nadine]

does anyone know how to tune the PI Controller parameters in inverter-based microgrids ?