I have an LED that I'm working with, actually it's not a discrete part but on silicon. Anyway all I have is a curve for it and I was trying to work up a spice model in LT-spice. I followed this question and tried two methods from there with Martyn's python method giving me the best results.
For LT spice I took the three parameters he puts out and made a model statement: .model led D ****DC Model Parameter*** +is=1.87E-17 n=9.275 +rs=5500
Which gives me a curve that is close to my original data points at low voltages but diverges at higher voltages like so: 
Orange is the measured data and blue is the model.
I've tried adjusting the parameters manually for a few hours but I can't seem to get something that matches the higher end. I feel like either I'm missing something or maybe I need to add another element other than just a diode? I seem to remember opening some professional models and seeing a few components inside.
How can I make my model match my actual datapoints better?
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