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#1
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Start with the tables available from the Minco.com site.
Pick and print a table for Platinum:PE TCR=3.85e-3, R0=100,temp range 20C to 220C inclusive. Minco indicates A=0.0039083, B=-5.775e-07, C=-4.183e-12. Put the data in a spreadsheet and do an XY error curve, tabular data VS equation. Note that i had to fiddle with B and C to get a reasonable fit, and one is challenged to get two digits of significance for C. See attached pic of error giraffe. |
#2
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On Sun, 12 Dec 2010 00:17:16 -0800, Robert Baer wrote:
Start with the tables available from the Minco.com site. Pick and print a table for Platinum:PE TCR=3.85e-3, R0=100,temp range 20C to 220C inclusive. Minco indicates A=0.0039083, B=-5.775e-07, C=-4.183e-12. Put the data in a spreadsheet and do an XY error curve, tabular data VS equation. Note that i had to fiddle with B and C to get a reasonable fit, and one is challenged to get two digits of significance for C. See attached pic of error giraffe. Interesting giraffe. Were you bragging about the goodness of fit or complaining about it? I see that your ±.00005 ohm deviation is well within the tolerance for even IEC 751 Class A 100 ohm Pt RTDs, at ±(.06+.0008Tˆ’2E-7(T^2)) ohms - less than 0.1% of the allowable tolerance. It looks like you either have measurement data in your tables, with measurement noise (rather than tables reconstructed from equations LMS fitted to measurement data), or perhaps just round-off error. I have used the equations (or as many terms of it as were useful for my range), and then done a two point calibration against two temperature standards near the ends of my measurement range with the actual RTDs to be used, for final equation adjustment on a per-RTD basis, when setting up temperature monitoring for test purposes where better than 1 C accuracy was desired. The accuracies expected without individual sensor calibration make the bounce in your giraffe seem pretty much irrelevant. Regards, Glen |
#3
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Glen Walpert wrote:
On Sun, 12 Dec 2010 00:17:16 -0800, Robert Baer wrote: Start with the tables available from the Minco.com site. Pick and print a table for Platinum:PE TCR=3.85e-3, R0=100,temp range 20C to 220C inclusive. Minco indicates A=0.0039083, B=-5.775e-07, C=-4.183e-12. Put the data in a spreadsheet and do an XY error curve, tabular data VS equation. Note that i had to fiddle with B and C to get a reasonable fit, and one is challenged to get two digits of significance for C. See attached pic of error giraffe. Interesting giraffe. Were you bragging about the goodness of fit or complaining about it? I see that your ±.00005 ohm deviation is well within the tolerance for even IEC 751 Class A 100 ohm Pt RTDs, at ±(.06+.0008Tˆ’2E-7(T^2)) ohms - less than 0.1% of the allowable tolerance. It looks like you either have measurement data in your tables, with measurement noise (rather than tables reconstructed from equations LMS fitted to measurement data), or perhaps just round-off error. I have used the equations (or as many terms of it as were useful for my range), and then done a two point calibration against two temperature standards near the ends of my measurement range with the actual RTDs to be used, for final equation adjustment on a per-RTD basis, when setting up temperature monitoring for test purposes where better than 1 C accuracy was desired. The accuracies expected without individual sensor calibration make the bounce in your giraffe seem pretty much irrelevant. Regards, Glen 1) That deviation is *after* the fix in the standard equation. In fact, the fit is better if C=0. 2) The "noise" 1s due to roundoff error in the presented table data and is to be expected; if it was not there or a lot smaller, the nsomething would definitely be wrong with the data. 3) Take that C term, -4.183e-12 and multiply it by 200C^3...and all of a sudden get about -3.35e-5 which looks terrible on a graph WRT to my "corrected" graph, as that gets multiplied by R0=100 ohms, for a value of 3.3mohms. When one starts without an expensive standard, and wants to make reasonable accurate temperature measurements, then a RTD is the way to go, and use the tables as the reference "standard". So, how do you make a correction without a standard?? Do you derive the lead resistance from the tables? |
#4
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On Sun, 12 Dec 2010 13:26:25 -0800, the renowned Robert Baer
wrote: Glen Walpert wrote: On Sun, 12 Dec 2010 00:17:16 -0800, Robert Baer wrote: Start with the tables available from the Minco.com site. Pick and print a table for Platinum:PE TCR=3.85e-3, R0=100,temp range 20C to 220C inclusive. Minco indicates A=0.0039083, B=-5.775e-07, C=-4.183e-12. Put the data in a spreadsheet and do an XY error curve, tabular data VS equation. Note that i had to fiddle with B and C to get a reasonable fit, and one is challenged to get two digits of significance for C. See attached pic of error giraffe. Interesting giraffe. Were you bragging about the goodness of fit or complaining about it? I see that your ±.00005 ohm deviation is well within the tolerance for even IEC 751 Class A 100 ohm Pt RTDs, at ±(.06+.0008?T??2E-7(T^2)) ohms - less than 0.1% of the allowable tolerance. It looks like you either have measurement data in your tables, with measurement noise (rather than tables reconstructed from equations LMS fitted to measurement data), or perhaps just round-off error. I have used the equations (or as many terms of it as were useful for my range), and then done a two point calibration against two temperature standards near the ends of my measurement range with the actual RTDs to be used, for final equation adjustment on a per-RTD basis, when setting up temperature monitoring for test purposes where better than 1 C accuracy was desired. The accuracies expected without individual sensor calibration make the bounce in your giraffe seem pretty much irrelevant. Regards, Glen 1) That deviation is *after* the fix in the standard equation. In fact, the fit is better if C=0. Well, unless I misunderstand what you are saying, I see _no_ error other than round-off, no "fix" required. Umm... note that coefficient C is only non-zero for the range -200°C = T = 0 : For 0 = T = 850°C, the equation is Rt = R0* (1 + A*T + B*T^2) Best regards, Spehro Pefhany -- "it's the network..." "The Journey is the reward" Info for manufacturers: http://www.trexon.com Embedded software/hardware/analog Info for designers: http://www.speff.com |
#5
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Spehro Pefhany wrote:
On Sun, 12 Dec 2010 13:26:25 -0800, the renowned Robert Baer wrote: Glen Walpert wrote: On Sun, 12 Dec 2010 00:17:16 -0800, Robert Baer wrote: Start with the tables available from the Minco.com site. Pick and print a table for Platinum:PE TCR=3.85e-3, R0=100,temp range 20C to 220C inclusive. Minco indicates A=0.0039083, B=-5.775e-07, C=-4.183e-12. Put the data in a spreadsheet and do an XY error curve, tabular data VS equation. Note that i had to fiddle with B and C to get a reasonable fit, and one is challenged to get two digits of significance for C. See attached pic of error giraffe. Interesting giraffe. Were you bragging about the goodness of fit or complaining about it? I see that your ±.00005 ohm deviation is well within the tolerance for even IEC 751 Class A 100 ohm Pt RTDs, at ±(.06+.0008?T??2E-7(T^2)) ohms - less than 0.1% of the allowable tolerance. It looks like you either have measurement data in your tables, with measurement noise (rather than tables reconstructed from equations LMS fitted to measurement data), or perhaps just round-off error. I have used the equations (or as many terms of it as were useful for my range), and then done a two point calibration against two temperature standards near the ends of my measurement range with the actual RTDs to be used, for final equation adjustment on a per-RTD basis, when setting up temperature monitoring for test purposes where better than 1 C accuracy was desired. The accuracies expected without individual sensor calibration make the bounce in your giraffe seem pretty much irrelevant. Regards, Glen 1) That deviation is *after* the fix in the standard equation. In fact, the fit is better if C=0. Well, unless I misunderstand what you are saying, I see _no_ error other than round-off, no "fix" required. Umm... note that coefficient C is only non-zero for the range -200°C = T = 0 : For 0 = T = 850°C, the equation is Rt = R0* (1 + A*T + B*T^2) Best regards, Spehro Pefhany I Pete again (repeat): Minco indicates A=0.0039083, B=-5.775e-07, C=-4.183e-12. Nobody states that a C=0 is to be used in any temperature region. I found the error at 220C which is slightly less than 850C; and for the limited temp range from 20C to 220C the third term (as given) gives an R value that is increasingly incorrect when compared with the given table. Now it might be that the error will eventually go toward zero at 850C using all 3 terms. It is possible that more terms would be needed, assuming the table is precisely correct, in order to have a curve that fits better. |
#6
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On Sun, 12 Dec 2010 22:10:29 -0800, the renowned Robert Baer
wrote: Spehro Pefhany wrote: On Sun, 12 Dec 2010 13:26:25 -0800, the renowned Robert Baer wrote: Glen Walpert wrote: On Sun, 12 Dec 2010 00:17:16 -0800, Robert Baer wrote: Start with the tables available from the Minco.com site. Pick and print a table for Platinum:PE TCR=3.85e-3, R0=100,temp range 20C to 220C inclusive. Minco indicates A=0.0039083, B=-5.775e-07, C=-4.183e-12. Put the data in a spreadsheet and do an XY error curve, tabular data VS equation. Note that i had to fiddle with B and C to get a reasonable fit, and one is challenged to get two digits of significance for C. See attached pic of error giraffe. Interesting giraffe. Were you bragging about the goodness of fit or complaining about it? I see that your ±.00005 ohm deviation is well within the tolerance for even IEC 751 Class A 100 ohm Pt RTDs, at ±(.06+.0008?T??2E-7(T^2)) ohms - less than 0.1% of the allowable tolerance. It looks like you either have measurement data in your tables, with measurement noise (rather than tables reconstructed from equations LMS fitted to measurement data), or perhaps just round-off error. I have used the equations (or as many terms of it as were useful for my range), and then done a two point calibration against two temperature standards near the ends of my measurement range with the actual RTDs to be used, for final equation adjustment on a per-RTD basis, when setting up temperature monitoring for test purposes where better than 1 C accuracy was desired. The accuracies expected without individual sensor calibration make the bounce in your giraffe seem pretty much irrelevant. Regards, Glen 1) That deviation is *after* the fix in the standard equation. In fact, the fit is better if C=0. Well, unless I misunderstand what you are saying, I see _no_ error other than round-off, no "fix" required. Umm... note that coefficient C is only non-zero for the range -200°C = T = 0 : For 0 = T = 850°C, the equation is Rt = R0* (1 + A*T + B*T^2) Best regards, Spehro Pefhany I Pete again (repeat): Minco indicates A=0.0039083, B=-5.775e-07, C=-4.183e-12. Nobody states that a C=0 is to be used in any temperature region. Oh, on the contrary, you'll find that _every_ correct reference (and there are many) will state that. If you're going to insist on using the wrong equation for the temperature range (on the basis that you've found one incorrect or incomplete reference?), you've got to expect errors in the results. For example, Minco says:- -200 to 0: Rt = R0 * (1 + At + Bt^2 + Ct^3(t-100) 0 to 850 : Rt = R0* (1 + A*T + B*T^2) TI, Keithey, Honeywell.. same thing, perhaps slightly re-arranged. IEC 751 standard! Best regards, Spehro Pefhany -- "it's the network..." "The Journey is the reward" Info for manufacturers: http://www.trexon.com Embedded software/hardware/analog Info for designers: http://www.speff.com |
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