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Re: Overtones and velocity factors
Original poster: dest <dest@xxxxxxxxxxxxx>
Hallo theorists (no any pun - i swear ^___^) : )
> Original poster: Paul Nicholson <paul@xxxxxxxxxxxxxxxxxxx>
> Gerry wrote (in another thread):
> > about tfss270501 and md110701 spectral graphs.
> > Is it true that the spectral graphs are not harmonic in nature??
> True. For example here are the resonant frequencies of an
> unloaded coil (one of Terry's, h/d=2.92)
and Marco Denicolai`s first coil (h:d = 4.58) for comparison
(on the right):
http://www.pupman.com/listarchives/1998/June/msg00181.html
|
Freq Mode Ratio | Freq Mode Ratio
a. 148.4kHz 1/4 wave 1.0 | 324 KHz 1/4 1.00
b. 353.4kHz 3/4 wave 2.38 | 813 KHz 3/4 2.51
c. 513.8kHz 5/4 wave 3.46 | 1475 KHz 5/4 4.55
d. 666.4kHz 7/4 wave 4.49 | 1766 KHz 7/4 5.45
e. 819.8kHz 9/4 wave 5.52 | 2053 KHz 9/4 6.34
f. 977.4kHz 11/4 wave 6.59 |
10. 1133.1kHz 13/4 wave 7.64 |
|
note that data in rows "a-b" is similar, but starting from the row "c"
it looks like one sample is missing here, and all next data is
shifted back. i wonder what`s caused this - different h:d or it`s just
msms error?
> I'll just say a bit about propagation velocity with respect
> to wire length.
> Here are the figures for a coil h/d = 4.66, with 2078 metres
> of wire.
and Marco`s coil again on the right (h:d = 4.58) approx with
425 m of wire:
|
Freq Mode Owvf | Freq Mode Owvf
a. 61.9kHz 1/4 wave 1.72 | 324 KHz 1/4 1.84
b. 157.9kHz 3/4 wave 1.46 | 813 KHz 3/4 1.54
c. 229.7kHz 5/4 wave 1.27 | 1475 KHz 5/4 1.67
d. 294.4kHz 7/4 wave 1.17 | 1766 KHz 7/4 1.43
e. 355.6kHz 9/4 wave 1.09 | 2053 KHz 9/4 1.29
|
again some inconsistency here, but this time in the coil itself - what
the @#$ row "c" is doing in there? : )
since this last coil has similar h:d ratio to Marco`s one, let`s
calculate and compare all the numbers from the beginning:
|
Freq Mode Ratio | Freq Mode Ratio
a. 61.9kHz 1/4 wave 1.00 | 324 KHz 1/4 1.00
b. 157.9kHz 3/4 wave 2.55 | 813 KHz 3/4 2.51
c. 229.7kHz 5/4 wave 3.71 | 1475 KHz 5/4 4.55
d. 294.4kHz 7/4 wave 4.76 | 1766 KHz 7/4 5.45
e. 355.6kHz 9/4 wave 5.75 | 2053 KHz 9/4 6.34
|
what if one sample is really absent here - something like that:
|
Freq Mode Ratio | Fr eq Mode Ratio
a. 61.9kHz 1/4 wave 1.00 | 324 KHz 1/4 1.00
b. 157.9kHz 3/4 wave 2.55 | 813 KHz 3/4 2.51
c. 229.7kHz 5/4 wave 3.71 | ? 5/4 ?
d. 294.4kHz 7/4 wave 4.76 | 1475 KHz 7/4 4.55
e. 355.6kHz 9/4 wave 5.75 | 1766 KHz 9/4 5.45
f. | 2053 KHz 11/4 6.34
|
like it? : ) then finally:
|
Freq Mode Ratio Owvf | Freq Mode Ratio Owvf
a. 61.9kHz 1/4 1.00 1.72 | 324 KHz 1/4 1.00 1.84
b. 157.9kHz 3/4 2.55 1.46 | 813 KHz 3/4 2.51 1.54
c. 229.7kHz 5/4 3.71 1.27 | 1166 KHz 5/4 3.60 1.32
d. 294.4kHz 7/4 4.76 1.17 | 1475 KHz 7/4 4.55 1.19
e. 355.6kHz 9/4 5.75 1.09 | 1766 KHz 9/4 5.45 1.11
f. | 2053 KHz 11/4 6.34 1.06
|
heck - you must be extremely careful when reading archives and must
constantly do the reality check on all info - that`s really suxxx coz
it takes a lot of time : E
so i want to ask people here a somewhat offtopic question (this may
help me to save some time):
very long time ago i have read a paper written by Marco Denicolai -
"Tesla Coil Tuning (zipped Word document, 158 kB) A theoretical
explanation of how optimal performance can be achieved (temptative)".
you can find it here:
http://www.elisanet.fi/dncmrc/tuning.zip
there is a "Figure 5: Energy transfered and transfer time vs.
coupling coefficient.", from which we can see, how much energy has
left in the primary, when k is not one of the "magic" values, that
permit full energy transfer. this plot is erroneous, if anybody have
correct version - plz send it to me.
thnx.