I put together a simple static model of an ECAT type of device and a few 
vorticians were interesting in how it performed.  One of these, Osmo Laaksonen, 
took my very simple model and improved it as well as offered a link to it for 
anyone to download.  He has taken an ideal model of a type 2 design and 
produced several important graphs that demonstrate how a system of this type 
behaves.

It should be noted that the device modeled is stable at any input power 
although it contains a negative resistance region.   Of course, you will not be 
able to set the input to a fixed power level that results in static operation 
within that special region.  You will however be able to remove the input drive 
and observe that the device cools back to ambient after it goes through a 
transient condition.

Osmo chose parameters that are closer to those seen in a real device although 
we do not have adequate data to verify that this particular design is possible. 
 The geometry and the behavior of the fuel are key ingredients that have not 
been well analyzed thus far.

You will find that the device graphed obeys the two general rules that I 
established earlier for an input controllable positive feedback thermal system 
with reasonable power gain.   First, there exists no temperature within the 
region of operation where the internally generated power exceeds the power 
being radiated, conducted, and convected into the ambient.  This ensures that 
no latch up condition occurs during operation.  Also, the slope of the input 
power versus device temperature contains a negative region.  This results in a 
negative resistance region which is desired in order to maintain a good COP.

The spreadsheet can be downloaded at: 
https://docs.google.com/spreadsheets/d/1-a6DVROpImcdbLm7YQLe5cY3ZThm_k7wgJHc531Psgo/edit?usp=sharing

I recommend that you download the file and take a close look at what it 
displays.  This type of characterization appears to enhance ones understanding 
of how this type of system operates and will guide the designs toward optimum 
results.   Please direct any questions to me.

Dave



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