Thank you very much for the explanation Dave.  That should add another tool
for detecting and/or enhancing excess heat.  My resistance wire is holding
up quite well in an experiment I'm currently running affording a chance to
try many different things to help determine what is going on.

On Thu, Nov 19, 2015 at 7:24 PM David Roberson <dlrober...@aol.com> wrote:

> Jack, I would expect the output power to be greater for your first
> case(1) due to the tendency of the core activity to 'stick' longer at the
> highest temperature.  This effect is mainly due to the time constant being
> lengthened by the positive feedback acting like a negative resistance.
> When you are operating at the lower temperature, the thermal time constant
> is shorter and temperature changes occur at a more rapid pace.
>
> It appears to be the tendency to 'stick' that leads to the highest COP.
> If your control system is capable of maintaining the temperature at very
> nearly the level where the input power required becomes zero watts, the COP
> will be enormous.  I have simulated a system using negative feedback of a
> traditional linear nature and it appears to work fairly well.   And, of
> course a PWM drive signal will also work.
>
> To answer your question, I would expect it to require less total input
> power in the case of the PWM drive signal(1) operating between two
> moderately separated core temperature levels than with input drive
> producing a fixed temperature level at the average between them(2).  This
> effect will become much more pronounced as the highest power output level
> approaches the point where the core generated power becomes close to the
> power that is radiated and convected from the device.  When those powers
> are equal, the time constant approaches infinity and the temperature
> 'sticks' at that level for a significant time while requiring very little
> drive power.  And, at that high level, when the PWM drive is zeroed the
> temperature begins to move downwards with a time constant that is quite
> long.
>
> As you might imagine, the effective time constant falls off rapidly as you
> move away from the above mentioned balance point.   It should be
> significantly shorter by the time you reach the temperature level between
> the two PWM turning points unless these temperatures are very close
> together.  The actual rate at which the time constant reduction falls off
> with temperature depends upon the curves defining the core generation power
> function and the output power escape function.
>
> Jack, I am assuming that you will have a type 3 system that is capable of
> thermal run away.  I make this assumption because it is difficult to adjust
> the parameters of the defining equations necessary to achieve a type 2
> design.  A 10% error is enough to completely miss type 2 behavior and I
> find that I generally have to use Excel in order to obtain coefficients
> that work well.  It takes too much time to run simulations alone to obtain
> that desired result.  Excel however can be used to obtain the
> characteristic curve quickly.  Of course, a type 1 system is relatively
> easy to test but the COP is limited to less than 3 which is not super
> interesting.
>
> Dave
>
>
>
> -----Original Message-----
> From: Jack Cole <jcol...@gmail.com>
> To: vortex-l <vortex-l@eskimo.com>
> Sent: Thu, Nov 19, 2015 1:16 pm
> Subject: [Vo]:Questions about self-sustaining reactions
>
> I have been working on an algorithm to detect excess heat in a slightly
> different way, but wanted to see if others could perhaps provide some
> insight.
>
> Here are my thoughts:
>
> 1) utilize an on/off heating and cooling cycle within a specified range
> (e.g., 1000-1200C) - input power turns off at 1200C and back on at 1000C
> and repeats
> 2) compare this to a steady state run at the average temperature from the
> cycling range (let's say 1100C)
>
> If you have a theoretical excess heat running continuously at 20W in both
> conditions would you expect the average input power in #1 to be greater
> than #2.  I suspect the answer may be no, unless the excess heat is truly
> capable of self-sustaining the reaction for a period of time.
>
> I would welcome any thoughts on this process.  I suspect Dave could speak
> well to this from the perspective of his simulations.
>
> Thanks,
> Jack
>

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