Kapanadze and other FE discussion

[ramset]

Wesley

Good to read , and I agree with AG on your movie ,I suppose you know this is a tuff audience
Might be a good idea to bring some Snickers Bars... [inside joke between film critiques here , I've read here you don't watch TV ]

Chet
few examples below during intermission at Wesley's theater
http://www.funnyplace.org/stream/snickers-cranky-old-man-25389/
https://www.youtube.com/watch?v=18ya0-OZ58s

[tinman]

onepowerIn the case of inductors it is well known that on the familiar B v. H chart an area represents an energy density.  What is not so well known is the fact that on a flux (Phi) v. mmf (Ni) chart an area represents energy directly.  The first image below shows the flux v. mmf chart for an inductor being charged from zero current at time t=0 to some current at t=T.  (I add those times because this whole issue arose from Gorchelin's paper and he uses those).  Clearly the inductance is a linear function of current.  The green area represents the energy now stored in the inductor, and that energy is recoverable when the inductor is discharged.  That area is a triangle and we all know that the area of a triangle is 1/2 base times height.  That is where the 1/2 comes in, and it is clearly seen the area is 1/2Li^2 where i is that final value at t=T.  Expressed mathematically that energy is given by int(Phi.di), and since in this case Phi=Li/N the integral also yields that 1/2. 

The next image is for a non-linear inductor where the core goes into saturation.  Again the green area is the stored energy and it is clear that this is not given by 1/2Li^2.  Again that energy is recoverable when the inductor is discharged.  In either case it matters not a jot how i varies with time over the charge or discharge period, it can rise or fall linearly in sawtooth fashion or non-linearly like a half cosine wave.  Again expressed mathematically that energy is given by int(Phi.di).

It is possible to get more energy out than that put in if the non-linearity changes between current rise and current fall.  For instance if during current rise we have something like the second image, then during current fall it changes to a linear fall as in the first image, then we put in the small green area and get out the large green area.  This requires some additional feature to change the flux v, mmf line.  Stearn demonstrated something in Dublin that did just that, they used toroidal coils wound onto ring cores on their stator and had magnets brought close to the cores by the rotor.  While the magnet was away from the core the flux and current build up was linear, but when the magnet got close it cross-saturated the core whence the coil flux dropped to near zero inducing voltage into a load resistor.  That produces a clockwise hysteresis loop yielding an electrical energy gain.  For this to be OU it must be shown that the differing forces on the magnet for approach and recede do not account for that energy gain.  I am not sure that Steorn ever did show that.
Smudge   

       

Love the last paragraph.
Perhaps check out my new thread on OUR.


Brad

[AlienGrey]

Wesley

Good to read , and I agree with AG on your movie ,I suppose you know this is a tuff audience
Might be a good idea to bring some Snickers Bars... [inside joke between film critiques here , I've read here you don't watch TV ]

Chet
few examples below during intermission at Wesley's theater
http://www.funnyplace.org/stream/snickers-cranky-old-man-25389/
https://www.youtube.com/watch?v=18ya0-OZ58s

Better stuff on youtube !

[blueplanet]

Probably not.


Just non-linearity is probably not enough to yield free energy. If you use a harmonic balance simulator to simulate a circuit based on a nonlinear parametric inductance you will find that the sum of power across the whole spectrum is always less than the total input power. 


[size=78%]All non-linear elements will generate harmonics. Unfortunately, there is a law which dictates that, in a closed nonlinear system, the sum of the normalized power of all the harmonics combined is always less than one. The only time you can get some apparent gain is when dL/di < 0 but this gain usually happens in a high order harmonic component. I just cannot remember what this law is.[/size]


[size=78%]I think, if  you want to get something really phenomenal, you'd  better focus on violating some text-book physics laws, like v>c,  open-circuit instead of closed circuit... etc, etc...[/size]

onepower In the case of inductors it is well known that on the familiar B v. H chart an area represents an energy density.  What is not so well known is the fact that on a flux (Phi) v. mmf (Ni) chart an area represents energy directly.  The first image below shows the flux v. mmf chart for an inductor being charged from zero current at time t=0 to some current at t=T.  (I add those times because this whole issue arose from Gorchelin's paper and he uses those).  Clearly the inductance is a linear function of current.  The green area represents the energy now stored in the inductor, and that energy is recoverable when the inductor is discharged.  That area is a triangle and we all know that the area of a triangle is 1/2 base times height.  That is where the 1/2 comes in, and it is clearly seen the area is 1/2Li^2 where i is that final value at t=T.  Expressed mathematically that energy is given by int(Phi.di), and since in this case Phi=Li/N the integral also yields that 1/2. 

The next image is for a non-linear inductor where the core goes into saturation.  Again the green area is the stored energy and it is clear that this is not given by 1/2Li^2.  Again that energy is recoverable when the inductor is discharged.  In either case it matters not a jot how i varies with time over the charge or discharge period, it can rise or fall linearly in sawtooth fashion or non-linearly like a half cosine wave.  Again expressed mathematically that energy is given by int(Phi.di).

It is possible to get more energy out than that put in if the non-linearity changes between current rise and current fall.  For instance if during current rise we have something like the second image, then during current fall it changes to a linear fall as in the first image, then we put in the small green area and get out the large green area.  This requires some additional feature to change the flux v, mmf line.  Stearn demonstrated something in Dublin that did just that, they used toroidal coils wound onto ring cores on their stator and had magnets brought close to the cores by the rotor.  While the magnet was away from the core the flux and current build up was linear, but when the magnet got close it cross-saturated the core whence the coil flux dropped to near zero inducing voltage into a load resistor.  That produces a clockwise hysteresis loop yielding an electrical energy gain.  For this to be OU it must be shown that the differing forces on the magnet for approach and recede do not account for that energy gain.  I am not sure that Steorn ever did show that.
Smudge   

       

[AlienGrey]

WHAT DO YOU THINK THIS IS ALL ABOUT ?

https://www.thevintagenews.com/2018/06/27/nikola-tesla-fbi/

Chet never mind Marathon bars here is a clue is she really singing sail away or something else |?
https://www.youtube.com/watch?v=2zkjQVh5KmQ