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 Recursive curve fitting
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Riccardo25

Italy
1 Posts

Posted - 02/07/2009 :  8:11:39 PM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Ver.8 and Service Release 0 (Select Help-->About Origin):
Operating System: Windows Xp

Hello,

I need to fit a Fowler-Nordheim curve with current saturation effect due to a series resistance R, the formula is:

i = A*(v-R*i)^2*exp(-B/(v-R*i))

where i is the current and v the voltage, A,B,R are the parameters.
I've got two columns in my worksheet, i and v, my idea was to create an additional column equal to the i column and use these values as independent variable like v.
So I created the follow user-defined function:

Dependent variable: y
Independent variables: x, y_1
Parameters: A,B,R

y = A*(x-R*y_1)^2*exp(-B/(x-R*y_1));

It works, but the fit is very poor. I'm not familiar with Origin and curve fitting, how can I implement this kind of recursive fitting?

Thanks in advance,
Riccardo

Shirley_GZ

China
Posts

Posted - 02/12/2009 :  10:49:27 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi Riccardo25,

From you post, I suppose you want do fitting using a implicit function, which can't be achieved by curent Origin, unless you can simplify this formula to a explicit function.

Sorry for the trouble brought to you.

Shirely
OriginLab Technical Service Team

Edited by - Shirley_GZ on 02/12/2009 10:49:49 PM
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