LLC Resonant Design issue

Could you please explain more, I still don't understand, how  to draw this curve, 
I want to know the steps or the equations to reach this curve?

Hi 

Thanks for your response. 

I don't know which formula can apply the steps as you said (Fix Ln, and set up a Qe, based on the formula, then vary fsw to find peak gain).

As in fig 12 a, there are three parameters (Peak gain Mg-ap, Qe and Ln). What is the formula that combines them to plot the curves in Fg 12a?

Or are there other tools to draw this figure? 

Please could you give me more explanation to help me to draw this figure because I desperately need it?

Hi,

All formulas are in the article.

please, what is the formula number that can be used?

Excuse me. I have read through the paper many times and I know these equations, but my problem with fig 12 a , how to draw it to find the proper Qe to use it to get the variables of the resonant tank (Lr, Cr, and Lm)? After that, I can use eq 22 to validate the value of Qe. 

Hi

I went through the page 17, and 20 that includes section IV and also page 20 include curves like fig 12 a, which inquired how to draw it? as I said my problem with finding a proper Qe and on page 17 you said [ several gain curves may need to be drawn to find a proper point a3. This is certainly one way to make the initial selection of Ln and Qe, but it is a difficult way and most likely will require some wild guess. A more desirable approach is to create a common tool to represent the gain curves that can be shared and reused by different designs]. so I am asking about this common tool that can help to draw the curves.

Thanks in advance.

Hi,

that is the way we are using. We do not have another way.