I was reviewing the latest analysis of Rossi's Ecat by Mr. Ruer.  Over the last 
few years I have posted many descriptions of the thermal behavior of a system 
of this type with positve feedback being a consequence of the design.

The curves generated by Ruer match my first models fairly well and that is a 
good beginning.  Thus far he has not pursued time domain analysis of the 
system.  Had he done so, he would have discovered that the device would have 
began to self heat at a temperature of around 625 C according to his graphs.  
You can predict this behavior by viewing the graph he published, since that is 
the temperature at which the input power requirement begins to display a 
negative slope.

One interesting consequence of breaching the negative resistance region is that 
the output temperature will begin to rise exponentially even thought the input 
heating power remains constant.  This type of behavior matches what I have 
referred to as a type 2 or type 3 thermal feedback system within my earlier 
posts.   It is not possible to stabilize the output at any temperature that 
exists within the negative slope region unless significant negative feedback is 
used to adjust the input drive.  For instance, the input must be reduced by a 
greater number of watts than the output rises due to an incremental increase in 
temperature.  The same criteria must be applied to an incremental decrease in 
the operational temperature or the device will cool back past the negative 
resistance knee where it stabilizes.

Ruer has defined a critical temperature level that I have likewise chosen as 
the point of no return.  This is where the input heating power shown on the 
curve has been reduced to zero watts.  As he must realize, if you exceed that 
operating temperature you will not be able to force the ECAT to cool down 
without resorting to some extra technique such as cool water spray.

Incidentally, Ruer's calculation of the device COP versus temperture does not 
take into consideration the thermal run away that begins once the temperature 
enters the negative slope region.   If a PWM drive signal is used similar to 
what he describes, it is possible to keep the device stable as its temperature 
oscillates between a couple of different levels, but the COP will not be 
greater than approximately 10 without great difficulty.  If normal quasi linear 
negative feedback is used for control, I suppose that higher values of COP can 
be obtained as you approach the point of no return.   The feedback sign must be 
adjusted to handle the fact that the slope of the power input versus 
temperature curve begins positive and changes to a negative direction once you 
begin to operate at a temperature past the knee.

It is good to see that others have replicated my conclusions to the first order 
and hopefully they will extend their models to be more inclusive of device 
operation.  This will happen once they begin to simulate the time domain 
behavior of their models.  Only then does it become evident that operation 
within the negative slope region has interesting consequences.

Dave

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