How to find the time constants of 3 parallel RC networks from curve fitting ?
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I am trying to find the time constant tau1,tau2 and tau3.
How can I find the time constant from the plot of time and voltage ? I tried this solution , But i am unable to implement it properly.
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David Goodmanson
am 20 Aug. 2019
Hi Shrisha,
There is the issue that the late time response goes to a constant value, whereas the sum of exponentials (assuming the exponentials have negative argument) goes to zero. The data looks more like
C - a*exp(-b*x) -c*exp(-d*x) -e*exp(-f*x) b,d,f > 0
where C, the asymtote as t --> inf, appears to be somewhere between 4.164 and 4.165. Even if you determine the value of C (maybe it's known from the experimental conditions) there are other issues. Fitting a,c,e when you already know the time constants b,d,f is one thing. But you should be aware that for a sum of exponentials, fitting the time constants b,d,f is a notoriously ill conditioned problem. Hence whatever answer you get is very likely to be unreliable.
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