Claus W Tuttur ZPE to build!

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dedeleco
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by dedeleco » 23/02/11, 18:01

Since in these equations 33 and 34, the energy is conserved and that it is a compass in a coil (or motor with basic magnet), nothing will happen except a modification of the damping of the needle or magnet by the currents induced in the coil and chaotic movements !!

The TGV Est or AGV have motors of this type with magnet in coils which have still not exploded by turning too fast !!!!!

The equations of the two coupled oscillators are rudimentary because the magnet coil coupling is more complex than a uniform field created by the magnet when it rotates in the coil (magnetic dipole).

Already in the 1680s Huyghens had studied coupled pendulums and observed the exchange of energy between the two pendulums !!

Good fun.

There must be theses on this basic chaotic system, which I did not take the time to research.
You have to balance the magnet on its pivot like a car wheel !!
There are cylindrical magnets !! to magnetize transversely.
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jam
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by jam » 23/02/11, 18:23

Special conditions are required for the magnet to accelerate. Many simulations made the magnet decelerate. The magnet-coil and coil-magnet interactions are reciprocal. It is easier to calculate the magnet-coil effect.

It is difficult to precisely rotate this little magnet. No success for date assembly.
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dedeleco
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by dedeleco » 23/02/11, 21:57

This system is not new:
http://fr.wikipedia.org/wiki/Histoire_d ... icit%C3%A9
In 1832 Hippolyte Pixii, manufacturer of physics instruments in Paris, produced the first electric induction machine comprising a magnet rotating opposite the poles of a fixed electromagnet.


http://en.wikipedia.org/wiki/History_of ... tic_theory

A simpler version very studied with chaos already (with a configuration where the current induced in the coil has a negligible effect) but the experimental assembly is the same:
http://somi.cinstrum.unam.mx/icias2010/ ... emoria.pdf
http://www.rit.edu/~w-physic/CAPSTONE/C ... _CapII.pdf
http://kamome.lib.ynu.ac.jp/dspace/bits ... 759874.pdf
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dedeleco
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by dedeleco » 25/02/11, 01:06

I wrote :
Since in these equations 33 and 34, the energy is conserved and that it is a compass in a coil

The energy is conserved and lost in the resistance with these equations whatever the LCR circuit on the coil. It is easily verified by plotting sin (phi) from one to the other and integrating the derivatives of kinetic or charge energies squared.

Also if a simulation does not verify this by seeing this energy increase with a magnet which accelerates too much, it is certain that there is an error in the simulation which is not precise or careful enough and which derails under certain conditions as a result of discretization in small steps which introduce additional energy without being aware of it, classic instability in simulations where the accumulation of errors accumulates endlessly exponentially, like adding a little energy to each step.
A precise simulation, well done, uses and respects the integral equations of movement such as energy conservation, because otherwise after a certain number of steps, they become unstable with an energy which sometimes derails !!
Read the links of a huge area that is linked to chaos:
http://www.win.tue.nl/casa/meetings/sem ... s/talk.pdf
http://en.wikipedia.org/wiki/Dynamic_er ... retization
http://en.wikipedia.org/wiki/Stiff_equation
http://homepages.cwi.nl/~jason/Classes/numwisk/ch10.pdf
http://www.math.auckland.ac.nz/~butcher ... wright.pdf
http://www.math.ntnu.no/~bryn/reports/owren90ssr.pdf

Since these equations of 2 coupled oscillators are chaotic, numerical simulation has a higher risk of going into sets without any physical reality !!

Even less relation with the ZPE which fascinates but which is usual in liquid gas transitions !! with another vocabulary.
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jam
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by jam » 25/02/11, 13:37

Good observation, but how did the stabilization after a certain time at a speed of around 30,000 rpm no matter the starting speed be explained? Regarding sampling, I use about 10 times Nyquist.
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dedeleco
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by dedeleco » 25/02/11, 14:11

You have to look in detail at the precise simulation mode, but it can be a fixed cycle or a program limit.
I did not take the time to decrypt the program, but in general this type of simulation does not conserve energy exactly whereas the equations they conserve energy !!
therefore the energy changes little by little and increases or decreases towards a limit cycle, depending on the conditions.
A correct simulation must also check the respect of the first integrals, like the energy at each step, which is quite easy with a discrete energy and then the behavior will be very different.
Chaos simulations respect this with study of digital chaos
I am not very motivated to watch this program for a long time to extract in clear the discrete equations and to note this fact of common sense that it does not respect the conservation of the discretized energy.
At the very least, the program must be modified so that the total energy at each step is conserved.
Otherwise it does not make sense, because it does not correspond to the conserved energy experimental reality.
Anyway considering the chaos of 2 coupled oscillators, the simulation with chaos will never be identical to the real system, but it does not matter, because the real system never does the same thing twice again (butterfly effect on the weather ).
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