The subject itself can easily be a presentation at ISPCE.  Doug, what you and 
Gert have done should be a formal paper.  Please consider collaborating and 
making it happen.


John



________________________________
From: Pete Perkins <00000061f3f32d0c-dmarc-requ...@ieee.org>
Sent: Sunday, January 8, 2017 9:33 PM
To: EMC-PSTC@LISTSERV.IEEE.ORG
Subject: Re: [PSES] Thermal equilibrium - 10% rule


Doug,



               A great approach; it would make for an interesting ISPCE/PSES 
presentation and a paper.   Go for it.



:>)     br,      Pete



Peter E Perkins, PE

Principal Product Safety & Regulatory Affairs Consultant

PO Box 23427

Tigard, ORe  97281-3427



503/452-1201



p.perk...@ieee.org<mailto:p.perk...@ieee.org>



From: Doug Powell [mailto:doug...@gmail.com]
Sent: Sunday, January 8, 2017 10:39 AM
To: EMC-PSTC@LISTSERV.IEEE.ORG
Subject: Re: [PSES] Thermal equilibrium - 10% rule



Richard,



I have tried a number of approaches in the past.  Given that most products are 
quite complex with regard to all the potential heat sources/sinks and 
interfaces I decided that anything along the lines of FEA is impractical.



I also tried the time constants idea which is analogous to RC time constants.  
I found this works well enough if you have a good amount of history with the 
product itself.  Otherwise, due to the non-linear nature of the problem, it is 
difficult to predict end time or temperature until 3 to 4 time constants have 
already passed.



I tried using the slope of ΔT to estimate when the end of the test is pending.



The next attempt was to dig in a little following the equations V = Voe-(t/RC) 
and V = Vo[1-e-(t/RC)] where I substitute V for the the various temperatures 
(Vo = the absolute value of the temperature delta from start to end), C is 
analogous to product mass and R is the Rtheta of the product. With a little 
testing history, you can assume the composition of the product is similar for 
other products designed by the same company (copper, steel, plastics, air, 
liquids, etc), I solved for RC and then rearranged the algebra to solve for t 
which is time.  There are a couple of problems in that I am still unable to 
come up with a general purpose solution.  First this is a simultaneous solution 
of several unknowns which is not conducive to quick on the fly solutions.  This 
is especially true when you are in the early stages of a temperature run when 
things are still moving quickly.  As you know extrapolating outside an existing 
dataset is risky, especially when nonlinearities are involved.



I am now going back to basics.  Q = Cp * m * abs(T2-T1)



q = heat energy in Joules

m = mass of the product

Cp = specific heat of the product

T1 = The initial temperature of the product at the start

T2 = The final temperature of the product

abs() is used to correct for heating or cooling



With the start/final temperatures and mass taken from prior tests I can extract 
a Cp for a particular product. Understanding one watt is Joules/second you can 
factor into the equation time.    My thought is that the composition of a 
product from the same engineering group with have similar ratios of copper, 
iron, plastics, etc.  And then I may be able to solve for total test time or 
final temperature.  Not forgetting that the air mass and equipment of the 
environmental chamber is part of the big picture.



I have not fully tested this method yet, but so far I remain hopeful.  If this 
works, I plan to build a small database of product Cp values.  I would be 
interested to know if anyone else gives this a go and how as yet undiscovered 
problems are overcome.





-Doug





Douglas E Powell

Laporte, Colorado USA

doug...@gmail.com<mailto:doug...@gmail.com>

http://www.linkedin.com/in/dougp01

















On Sat, Jan 7, 2017 at 12:51 PM, Richard Nute 
<ri...@ieee.org<mailto:ri...@ieee.org>> wrote:

> We have to consider that the temperatures sought are not of
> metrological value, but to
> to establish a safe/non-safe result.

Yes!

> The mathematical limit of an exponential rise is easy to
> estimate, once a few timed samples are available,

I haven't been able to come up with an equation, even though I have tried and 
sought help from folks who are more knowledgeable than me in the field of 
thermodynamics.  Please tell us your methodology.

Best wishes for the New Year!
Rich

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