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jan_de_jong(at)casema.nl Guest
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Posted: Fri Feb 25, 2011 6:48 am Post subject: PM capacitor inrush |
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Every time we close the master switch of a PM alternator system we
connect the battery right across the large capacitor, charging it at a
current far exceeding its ripple current rating. If in the architecture
the switching relay is not selected for carrying starter current the
current will exceed its rating too.
The term "right across" is ofcourse inaccurate - the capacitor gets
charged in a series RLC connection.
In trying to get an idea of current versus time I found the following
calculator sites.
For the inductance of lengths of wire:
http://www.consultrsr.com/resources/eis/induct5.htm
For the transient response of a series RLC system:
http://sim.okawa-denshi.jp/en/RLCbpkeisan.htm
See "low pass filter tool".
For each of R and C I used 2 reasonable values: "best" and "marginal".
For R: 0.015 Ohm and 0.060 Ohm
For C: 0.050 F and 0.015 F
For L I used 3 values to cover: battery next to capacitor 0.0000005 H
(18" roundtrip), battery behind seats 0.0000050 H (10' roundtrip),
battery in the tail 0.0000150 H (30' roundtrip).
The transient response graphs show voltage across the capacitor as a
function of time after 1 volt is suddenly applied at time 0.
To get current from that you have to make an estimate of rate-of-change
from the graph: I = C dV/dt - volts per second times capacitance in
farads equals momentary current in amps. Our step size is 12V instead of
1V ofcourse.
For the 12 R, C, L combinations I estimated below the following items:
- duration of the steepest 2/3 of the ramp (in seconds)
- average current during the steepest 2/3 of the ramp (in A)
- overshoot (in V)
ohms, farads, henrys: seconds, amps, volts
0.015, 0.050, 0.0000005: 0.00080, 500, 0
0.015, 0.050, 0.0000050: 0.00100, 400, 0.4
0.015, 0.050, 0.0000150: 0.00180, 280, 2.6
0.015, 0.015, 0.0000005: 0.00025, 480, 0
0.015, 0.015, 0.0000050: 0.00060, 250, 2.9
0.015, 0.015, 0.0000150: 0.00080, 225, 5.5
0.050, 0.050, 0.0000005: 0.00260, 155, 0
0.050, 0.050, 0.0000050: 0.00270, 150, 0
0.050, 0.050, 0.0000150: 0.00300, 135, 0
0.050, 0.015, 0.0000005: 0.00080, 150, 0
0.050, 0.015, 0.0000050: 0.00080, 150, 0
0.050, 0.015, 0.0000150: 0.00090, 133, 0.2
Ranges
Time: 0.25 to 3 ms
Current: 133 to 500 A
Overshoot: none to 5.5 V
Just another data point...
Cheers,
Jan de Jong
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nuckolls.bob(at)aeroelect Guest
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Posted: Fri Feb 25, 2011 11:36 am Post subject: PM capacitor inrush |
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At 09:39 AM 2/25/2011, you wrote:
Quote: |
Every time we close the master switch of a PM alternator system we
connect the battery right across the large capacitor, charging it at
a current far exceeding its ripple current rating.
|
Correct . . . but ripple current is not a transient
event. When used as a smoothing element in the
design of a DC power system, ripple current squared
times ESR yields a value for internal energy dissipation that
warms up the capacitor. It's this warming effect that
sets operating limits for ripple current.
The warming effect of a micro to millisecond transient,
while many times the ripple current rating of the device,
is of not significance in terms of abuse to the
capacitor.
Quote: | If in the architecture the switching relay is not selected for
carrying starter current the current will exceed its rating too.
|
Unlike the selection of fan motor sizes, fuse sizing,
battery sizing, hydraulic pump sizing, etc. etc.
the performance numbers for switches are not the
convenient ideas we would like them to be . . .
http://www.aeroelectric.com/articles/Switch_Ratings.pdf
http://www.aeroelectric.com/Reference_Docs/Switches/CH_Switch_Training_Manual.pdf
Then there are switch failures that masquerade
as a ratings issue . . . but in fact are
based on other simple-ideas . . .
http://www.aeroelectric.com/articles/Anatomy_of_a_Switch_Failure/Anatomy_of_a_Switch_Failure.html
The documents cited above are a minuscule fraction
of the published works exploring simple-ideas
that drive switch and rely contact performance. At
the same time, we find See page 11-16 of . . .
http://www.aeroelectric.com/Reference_Docs/FAA/AC43.13-1B_Ch11_Electrical.pdf
where the authors cite nameplate and spec sheet
ratings values as the holy grail of guidance
for switch replacement. If only those who offer
advice based on experience were writing the rules.
Then you have some guy come along with installations
like this . . .
http://aeroelectric.com/Pictures/Switches/miniswitches.jpg
Here we see landing and taxi lights controlled
with miniature toggle switches that are in no
way 'rated' to the task. The owner/pilot reports
these switches have been performing to design goals
for years of service in his airplane.
The numbers that are almost never cited in support
of published switch ratings are the "operating cycles
at tested load". Spec sheets never speak to "de-rating"
a switch or relay based on severity of neglect for
failure to observe the ratings. Question: Suppose you
KNEW that a 5x abuse of some 'rating' reduced the
projected service life of a device from 50,000 cycles
down to 1,000 cycles. How would that influence your
decision to use the device in your airplane? Assume
further that you've exercised due diligence in the
design and operation of your electrical system. I.e.
failure tolerant in every regard. Now, all failure
and wear-out issues are reduced to cost-of-ownership
and maintenance issues . . . and are NOT the seeds
from which dark-n-stormy night stories are grown.
Quote: | The term "right across" is ofcourse inaccurate - the capacitor gets
charged in a series RLC connection.
In trying to get an idea of current versus time I found the
following calculator sites.
For the inductance of lengths of wire:
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You are to be commended for considering the question
and going into the level of investigation. Indeed, there
are observable effects for the LRC qualities of
power system configuration . . . but in this case,
they are not that significant with respect to longevity
of switches and relays.
The reactive qualities of system components are
responsible for the 'real' spikes in a power
distribution system. As I explained in the chapter
on noise, true 'spikes' are indeed over (or under)
voltage events. They are VERY short in duration
measuring perhaps tens of microseconds. They are
exceedingly easy to accommodate in the qualification
of 99.9% of all electronics designs . . . but on
occasion, will rise up to become a nuisance.
EVERY nuisance tripping event I've had occasion to
deal with for OV protection system had roots in
these kinds of events. Not dangerous to electronics . . .
no energy involved. But they were responsible for
nuisance trips.
Having thus armed yourself with some notion of scale
(energy, amplitude, duration, shape) of the transient
events, you're ready to go back and look at their
significance with respect to switches, OV relays,
annunicator panels, etc.
I can assure you that gremlins of this pedigree
are of no practical significance when it comes to
relay or switch life.
An interesting side note speaks to the original
premise of this topic. Positioning the PM alternator
control relay to the AC output of the alternator
moves it from a DC, large transient-current
world to an AC, current-limited domain where
relays and switches thrive.
Bob . . .
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jan_de_jong(at)casema.nl Guest
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Posted: Sat Feb 26, 2011 1:57 pm Post subject: PM capacitor inrush |
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I was not too worried about the once per flight high current event, but
having derived some numbers I thought I 'd share them anyway (I found
the 45% overshoot from a 15 mOhm 30' wire to 15 mF interesting - glad
I'm not building a 747).
But thank you for your comments!
Jan de Jong
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nuckolls.bob(at)aeroelect Guest
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Posted: Sat Feb 26, 2011 6:01 pm Post subject: PM capacitor inrush |
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At 04:54 PM 2/26/2011, you wrote:
Quote: |
I was not too worried about the once per flight high current event,
but having derived some numbers I thought I 'd share them anyway (I
found the 45% overshoot from a 15 mOhm 30' wire to 15 mF interesting
- glad I'm not building a 747).
But thank you for your comments!
|
To be sure, the severity of the 'problem' increases
with physical size of the system (long runs of wire)
and complexity (lots of electrical wigglers).
I think one of my Florida seminar attendees was
a space shuttle techi . . . he commented that it
was the electrically noisiest vehicle he'd ever
worked on.
But there are ways to cope. For example, the signals
from GPS satellite signals are so weak at the earth's
surface, they cannot be distinguished from atmospheric
noise were it not for a predictable pattern in their
emissions. When you know precisely what you're looking
for, the extraneous stuff can be filtered/ignored as
long as it's not overwhelmingly strong.
Knowing what's on the power bus is the first step toward
being sure that you can artfully reduce its effects
to insignificance.
Bob . . .
Quote: | Jan de Jong
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Bob . . .
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