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power v energy measurements, was Re: SSTC does 10 foot sparks



Original poster: Sean Taylor <sstaylor-at-uiuc.edu> 

John, I'm not really in agreement with you, the examples I gave 
(specifically the 30 MJ) were to illustrate that two different coils, 
consuming vast differences in power, can be given the same "energy 
rating".  How do you propose to use energy?  Would you like to use energy 
per bang, or energy over a certain amount of time?  Both of those can be 
translated into power.  What specific measurement of energy did you have in 
mind?

Any meter, when used on a TC, will have fluctuations in the reading with 
the target a streamer happens to be striking at that moment.  If a power 
meter is used, then the power will jump all over the place.  The best we 
can do is to estimate an average power, where it seems that the needle is 
most of the time, or more accurately is expected to be most of the time.
I believe that strict energy comparisons have no place in comparing TCs 
without another parameter to give more information (as in my example cited 
in my first post on this topic - two very different TCs with the "same" 
energy).

In your reply to Steve, you wrote:

              Power output can be greater than power input
              Power is in watts, average watts, peak watts, volt amps, etc.
              Energy output can not be greater than energy input
              Energy is in watt seconds or joules*

         The power input can be in many forms as I mentioned in my post to 
Gerry.
         The energy input can be in only one form and that is watt seconds 
(joules).*

         Power factor is involved with TC power ratings
         Power factor is not involved with TC energy ratings.* Why??

I would say all but three of these statments are false (when taken in 
certain ways).  I would consider the three true statements to be the ones 
marked with an *.  Power output can be greater than power input, if you are 
speaking of peak power.  Power is not in volt amps - that is apparent 
power.  Just power is Watts, and only watts.  Units themselves cannot be 
average, peak, etc., only a quantity can.  I know this is beginning to get 
into semantics, but you state that energy only comes in one form, and the 
same is true of power.  It's always just Watts (or some equivalent unit), 
nothing else.  The power input can't be in many forms, but the measurement 
can be *represented* in a few different ways, and I think that's where the 
confusion lies.  As I said before, each representation (peak, average, 
etc.) has it's place in each application.  For comparison purposes in the 
TC world, we'll want to be using average power for the input.

Power factor doesn't/shouldn't come in to play here because power is power 
- regardless of the power facter.  Apparent power on the other hand (simple 
current * voltage), will change with the power factor, given a constant 
power.  So if we know exactly how much work is being done by a system, we 
can calculate the apparent power based on the power factor.

For most of us, it is hard to get a good idea of what the real power is 
because all we have is a voltmeter and ammeter, and they tell us nothing of 
the phase relationship, and thus nothing of the power factor.  All we can 
then calculate is the the apparent power and all we can do with this is get 
an approximation of the real power.  As Steve said, he is drawing less than 
20 A at 240 volts, so the apparent power must be less than 4800 VA, and the 
real power cannot exceed the apparent power, so it must be less than 4800 W 
(note the unit change - Watts != VA !!!).

Now, to make the leap to energy, well, the problem is how??  As I already 
asked, which energy did you want to measure?  Even fewer of us have the 
neccesary equipment to measure energy directly (aside from the energy meter 
on the outside of our house).  You wrote in another email "Energy is not 
involved with reactive powers.", while it most certainly is!!! It is not 
transferred in one direction though, because it continuously is transferred 
in to and out of the reactive compenent, and part of it gets wasted as heat 
each time that happens (in the real, non-ideal world).

Anyway, this discussion is starting to get a bit OT, if you want to 
continue it with me, please reply off list.

Sean Taylor
Urbana, IL


On Tue, 22 Jun 2004 08:29:32 -0600, Tesla list <tesla-at-pupman-dot-com> wrote:

>Original poster: "John Couture" <johncouture-at-bellsouth-dot-net> Sean -
>
>Thank you for your reply. It appears that you are in agreement with what I
>was recommending and that is to use energy instead of power to rate your
>Tesla coils. You said your TC was 30 MJ which is rating your coil in joules
>of energy.
>
>I agree with you that to compare energy and power is utterly useless. This
>is like
>comparing apples and oranges. This thread discusses the comparing of Tesla
>coils not the comparing of power and energy. I recommend that coilers use
>energy instead of power to compare their coils which is what you are doing.
>
>There are many coilers that use their wattmeters to measure several TC
>parameters. However, I see no problem in your using your wattmeter to
>measure only average watts.
>
>Refer to my reply to Steven regarding your mention of imaginary power (power
>factor). Steven was commenting on power factors.
>
>John Couture
>
>-------------------------------------
>
>----- Original Message -----
>From: "Tesla list" <tesla-at-pupman-dot-com>
>To: <tesla-at-pupman-dot-com>
>Sent: Sunday, June 20, 2004 6:03 PM
>Subject: Re: SSTC does 10 foot sparks
>
>
>  > Original poster: Sean Taylor <sstaylor-at-uiuc.edu>
>  >
>  > John,
>  >
>  > I'm sure there will be many people replying to this, so I'll keep it as
>  > short as possible :-)
>  >
>  > >I agree you cannot "get more average power out than what is coming in".
>  > >However, it is very possible to get much more pulse power out than
>average
>  > >power in.
>  >
>  > I completely agree, this is the whole thing with capacitor discharges, you
>  > can charge them at a low rate, and discharge much faster to create high
>  > peak currents.  This concept is used all over the place in technology.
>  >
>  >   With Steve's TC it appears that the average power in is about
>  > >4800
>  > >watts and the pulse power out is about 300 KW giving a power gain of 62.5
>.
>  >
>  > The concept of "power gain" is a VERY misleading one.  Power is DEFINED as
>  > energy transfer per unit time, so by definition when comparing two powers,
>  > unless otherwise stated, you are comparing a total power transfer.
>The
>  > difference is when you consider peak power, which is the instantaneous
>RATE
>  > of energy transfer.
>  >
>  > >With a potential power output of 300 KW it is obvious that a very
>  > >long spark would be possible depending on the TC design. That is why
>using
>  > >power instead of energy units is not good for rating Tesla coils. It can
>  > >exagerate the output possibilities of a coil so you have to be very
>specific
>  > >about the input conditions.. If you use energy units you will not have
>this
>  > >type of problem. The energy output units will always be less than the
>input
>  > >units.
>  >
>  > Not necesarily true.  Energy output at a chosen time (perhaps between
>  > bangs) will be much less, about 0, than the input energy.  Also, saying
>  > input or output energy entails energy transfer, implying a rate, not just
>a
>  > quantity of energy.  With any sort of energy storage device, energy in and
>  > out can be very different from each other.
>  >
>  >
>  > >"Peak power out will be larger than peak power in" is another example of
>the
>  > >confusion caused by using power with Tesla coils.
>  >
>  > I wouldn't call this a confusion so much as a difference of measurement
>  > techniques.
>  >
>  >   "Peak power out"
>  > >cannot be
>  > >larger than "peak power in" unless there is a time difference between the
>  > >two
>  > >stated powers.
>  >
>  > Peak power out and peak power in can be very different, and either one can
>  > be greater than the other.  I think what you mean by "unless there is a
>  > time difference . . . " is that the total time that the power is measured
>  > over is different for the input and output.  You can have a single spike
>of
>  > power at say 10W, and measure for however long you want, and still only
>  > have a 10W peak, the time doesn't matter.  I think you are confusing
>  > integrating over the two times (yielding energy) rather than recording the
>  > peak power transfer.
>  >
>  >   This means bringing in time into the process which gets
>  > >you
>  > >into an energy process.
>  >
>  > Not really, depending on how you use the time.  Dividing by time will give
>  > an average power transferred per time, multiplying/integrating will give
>  > you an amount of energy transferred.
>  >
>  >   It would be preferable to say that "Peak power
>  > >out
>  > >will be larger than average power in".  This still requires more
>  > >explanation. The time period involved in the output vs the time period
>  > >involved in the input. And we are back again into energy out vs energy
>in.
>  >
>  > A peak power is an instantaneous event, there is no measurement over time
>  > for the peak.  It happens, and it's over with, there is no amount of time
>  > that matters.  The time that energy is being transferred overall may be
>  > (and will be) different between the input and output, but this is not a
>  > concern for peak power measurements, and is the whole essence of power
>  > storage devices/pulse discharges.  It's why a TC works!
>  >
>  >
>  > >Note that when using average power that you are adding time to the power
>  > >units which brings you into the energy unit solution. This has caused
>great
>  > >confusion for coilers in the past. Average power is actually energy
>because
>  > >you have to use time to find the average power.
>  >
>  > Again, see above, just because you use time doesn't mean you get energy.
>  > There is a big difference between average power and energy.  Average power
>  > is calcualted from W/sec, over a specified period of time yielding Watts
>  > again.  Energy is just a specific quantity of energy, no time involved
>  > whatsoever.
>  >
>  >   In other words when you
>  > >connect a wattmeter to the input of a TC you are measuring many
>parameters
>  > >depending on how you want to use them. For example the wattmeter gives
>you
>  > >at the TC input
>  > >
>  > >    1.  wattage
>  > >    2.  average wattage
>  > >    3.  peak wattage
>  > >    4.  instantaneous wattage
>  > >    5.  volt amps
>  > >    6.  RMS wattage ??
>  >
>  > Strictly speaking, wattmeter doesn't give you all these things, it gives
>  > you one:  average "wattage", or power.  Some, with storage functions, will
>  > give you peak power, but this can be the peak over 1 cycle, or the peak
>  > instantaneous power.  In an AC circuit, you have instantaneous power,
>which
>  > is defined as instantaneous current times instantaneous voltage, but is
>not
>  > very meaningful in terms of what is actually going on because both I and V
>  > are going positive and negative continuously.  This is where average power
>  > comes in - the average over one AC cycle.
>  >
>  > Because of non-resistive loads, the power transfer can be going in to or
>  > out of the "load", meaning the instantaneous power is positive sometimes,
>  > negative other times, so an average "power" is used to represent what work
>  > is actually being done - also know as the real power, measured in Watts.
>  > The RMS current and RMS voltage, considered without and phase difference
>is
>  > the "apparent power" - Volt-Amps, and often most devices are rated to a
>  > certain VA because the wire has to handle a certain amount of current, and
>  > it doesn't care if it's in phase with voltage or not, there is still that
>  > amount of current to be passes.  The imaginary power, measured in VA
>  > reactive, is just the part of the current that is purely reactive,
>  > imaginary, or 90 degrees out of phase with the voltage that does
>absolutely
>  > no work whatsoever, and can't because the average power is zero - half the
>  > time energy is flowing into the load, the other half out of the load, the
>  > effective energy transfer is zero, and power is zero.
>  >
>  > >Correctly using all of these parameters can be very confusing. You can
>avoid
>  > >all of the above confusion by properly using energy units to rate Tesla
>  > >coils. If the wattmeter is used as an energy meter you have to do some
>calcs
>  > >and you end up with different numbers compared to using it as a power
>meter.
>  > >For example a 100 watt wattmeter will give you 50, 100, 200, etc, watt
>  > >seconds when used as an energy meter if the times are 1/2, 1, 2, etc,
>  > >seconds.
>  >
>  > So how is this less confusing than using power?  I can run my 1" TC for
>  > days on end and claim that "consumed" more than 30 MJ.  Then I'll go run
>my
>  > 15" 10 kVA pig coil for under an hour, and it'll "consume" the same amount
>  > of energy.  So what's the point?  I can also tell you that one coil has a
>  > bang energy of 2 J, and another 10 J.  If the breakrate of the first is
>600
>  > bps, and the second is 120 bps, they "consume" the same amount of energy
>  > per time, or use the same power.  I can also tell you that the National
>  > Ignition Facility at LLNL consumes over 2 MJ in one shot, much less than
>  > one second, while running my small TC will take over 5.5 hours to process
>  > the same amount of energy.  So, how do you propose we use energy to
>compare
>  > TCs?  I'm not seeing how it would work.
>  >
>  >
>  > >There is a much more to comparing power vs energy and I find that in some
>of
>  > >my past posts I have used the words incorrectly. Coilers are correct when
>  > >they say that power and energy can muddy the waters.
>  >
>  > I think trying to compare energy and power is utterly useless.  I think we
>  > can all agree that when we talk about power input, we are talking about
>  > average power, or just a rate of energy transfer into our coils.
>Steve's
>  > less than 4800 W input is the average power going into his coil, and also
>  > must leave at the same rate, whether it be in the form of heat, light, or
>  > electricity.  However, instead of entering at a (relatively) constant rate
>  > as happens on the 60 Hz line (since 60 Hz is slow compared to RF), the
>  > power is leaving in large pulses that happen as often as he dictates by
>the
>  > breakrate of the coil, and while these peak powers occur at a lower duty
>  > cycle than the input power has, there are much larger peak powers (maximum
>  > of instantaneous power) present on the output.
>  >
>  > Okay, so that wasn't as short as I expected, but I hope that clears up
>some
>  > nomenclature questions for everbody (and maybe for myself, as I'll
>probably
>  > be corrected on some things I wrote).
>  >
>  > Sean Taylor
>  > Urbana, IL
>  >
>  >
>  >
>