[TRNSYS-users] calculation error?
Stefan de Kool
S.deKool at chri.nl
Wed Mar 28 07:10:10 PDT 2007
Dear all,
I'm having a problem with a simple calculation (see attached files). I have
3 inputs, c0, c10 and c20, which are defined by type 14. I run the following
calculation:
c-pred= teller / noemer, with teller = (c10^2 - c0*c20) and noemer = (2*c10
- (c0+c20)).
When I output these values, I get strange differences compared to values
calculated in XL (see attached xl-file). At the first 48 timesteps
everything goes fine with relative errors on the order of 10^-6, but from
the 49th step on, errors on the order of 10^-4 occur. Strangly these occur
only at the uneven timesteps. The errors occur only in teller and noemer but
are, I suppose, levelled out after division.
Can anyone help with this? I suspect it has something to do with
rounding-off errors but I can not find the exact cause. The only change I
see in the input values at step 49 is that c10 changes from below 10^3 to
above 10^3.
I tried decreasing the tollerances and also using Powell instead of
Succesive, to no avail. When I change the timebase from 100h to 1000h (also
for the type 14), the errors occur at different timesteps and different
rates.
Thanks in advance,
Stefan de Kool
Cauberg-Huygen Raadgevende Ingenieurs B.V.
Bezoekadres: Boterdiep 48, 3077 AW ROTTERDAM
Postadres: Postbus 9222, 3007 AE ROTTERDAM
Telefoon: +31 (0)10-2443638
Fax: +31 (0)10-425 44 43
http://www.chri.nl
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TIME c20 c10 c0 teller noemer c_pred
+0.00000E+00 +6.00000E+02 +5.61500E+02 +3.00000E+02 +1.35282E+05 +2.23000E+02 +6.06647E+02
+1.00000E+00 +6.09000E+02 +5.70485E+02 +3.11550E+02 +1.35719E+05 +2.20420E+02 +6.15730E+02
+2.00000E+00 +6.18000E+02 +5.79470E+02 +3.23100E+02 +1.36110E+05 +2.17840E+02 +6.24815E+02
+3.00000E+00 +6.27000E+02 +5.88455E+02 +3.34650E+02 +1.36454E+05 +2.15260E+02 +6.33902E+02
+4.00000E+00 +6.36000E+02 +5.97440E+02 +3.46200E+02 +1.36751E+05 +2.12680E+02 +6.42991E+02
+5.00000E+00 +6.45000E+02 +6.06425E+02 +3.57750E+02 +1.37003E+05 +2.10100E+02 +6.52082E+02
+6.00000E+00 +6.54000E+02 +6.15410E+02 +3.69300E+02 +1.37207E+05 +2.07520E+02 +6.61176E+02
+7.00000E+00 +6.63000E+02 +6.24395E+02 +3.80850E+02 +1.37366E+05 +2.04940E+02 +6.70272E+02
+8.00000E+00 +6.72000E+02 +6.33380E+02 +3.92400E+02 +1.37477E+05 +2.02360E+02 +6.79371E+02
+9.00000E+00 +6.81000E+02 +6.42365E+02 +4.03950E+02 +1.37543E+05 +1.99780E+02 +6.88472E+02
+1.00000E+01 +6.90000E+02 +6.51350E+02 +4.15500E+02 +1.37562E+05 +1.97200E+02 +6.97575E+02
+1.10000E+01 +6.99000E+02 +6.60335E+02 +4.27050E+02 +1.37534E+05 +1.94620E+02 +7.06682E+02
+1.20000E+01 +7.08000E+02 +6.69320E+02 +4.38600E+02 +1.37460E+05 +1.92040E+02 +7.15791E+02
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+1.40000E+01 +7.26000E+02 +6.87290E+02 +4.61700E+02 +1.37173E+05 +1.86880E+02 +7.34018E+02
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