I spent a bit of time adjusting some of the parameters of my thermal control 
ECAT model and have a few observations.

I suppose that it seems obvious that the greater the non linearity of the 
function binding core power generation to core temperature, the more critical 
will be the required control needed for stable high COP operation.  I toyed 
with forth, third, second and the really wonderful linear order functions to 
establish the trend.  An example of the type of function would be P=k*T^4.  I 
prefer to use polynomial functions for this analysis since it is possible to 
construct most other functions from a series of polynomials and it is very easy 
to work with them.  My model can use any function that I choose for this 
purpose with the exception of delay mechanisms.  I suppose that they could also 
be incorporated if there is a good reason to believe that they are present and 
important.

The linear function has the characteristic of allowing the ECAT to have a 
constant gain over any input temperature range somewhat like what Rossi used to 
say.  Recently, that has been put aside as it should have been long ago to be 
more realistic.  Any higher order relationship exhibits what I refer to as the 
two temperature effect.  The first temperature of the pair is determined where 
positive feedback with a gain greater than unity takes over and the device 
begins its journey toward melt down.  This path is followed toward an ever 
higher core temperature until one of two things happen.

If the drive power is removed soon enough, the core will cease to increase in 
temperature and begin to cool down.  This constitutes the normal operation 
function that I suspect Rossi uses.  The trick is to remove the drive power at 
the correct time before the second temperature of the pair is reached.  
Unfortunately, the closer to that point you allow the device to reach, the 
higher the overall COP.  And it appears that this behavior is fairly critical 
if reasonable COP is to be achieved.

If you are too slow in removing the drive, then meltdown will result.  Unless 
Rossi includes some method of rapidly extracting heat from the core region, the 
device can not be brought back to safe operation.  I leave open the possibility 
of a design that is extremely well adjusted such that the functional 
relationship between core power generation and temperature drops rapidly before 
core destruction occurs.  This seems unlikely, but the NAE might have some 
characteristic that ceases their activity while not being melted, or perhaps 
they regenerate after some delay and cooling.  This is totally speculative.

Some of the temperature waveforms that I observed as I adjusted the model 
parameters bear a remarkable resemblance to those observed during the recent 
tests.  Particular attention should be applied to the exponentially rising 
waveform observed during the active drive pulse and the drawn out delay seen 
with the falling temperature.  These waveforms are the signature of a system 
that exhibits gain as a result of the positive feedback effect I have 
mentioned.  They become more pronounced as the gain is increased.

Dave 

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