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4hv.org :: Forums :: Electromagnetic Projectile Accelerators
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Simple mechanical coilgun model

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Evgenij
Sat Feb 18 2006, 02:07AM
Evgenij Registered Member #200 Joined: Sat Feb 18 2006, 01:49AM
Location: Pskov, Russia
Posts: 21
Hi William, Hi Jonathan!
FEMM based simulator's result from Russian coilgunners for you:

INPUT:
capacitance: 1000uF
initial voltage : 300V
timestep: 100us
wire diameter (copper only): 0.627mm
double wire insulation thickness: 0.05mm
coil length: 30mm
coil internal diameter: 8mm
coil external diameter: 18.4mm
projectile diameter: 5.5mm
projectile length: 30mm

OUTPUT:
Total resistance, Ohm: 1.242
Outline resistance, Ohm: 0.49
Coil resistance, Ohm 0.752
Turns of coil: 319.94
Wire length, m: 13.268
Initial coil inductance, uH: 379.74
Projectile’s mass, g: 5.559
Energy of caps, J: 45
Peak velocity, m/s: 15.697
Out velocity, m/s: 14.795
Kinetic energy, J: 0.608
Efficiency, %: 1.352
Peak force, N: 48,5 @ 900us
Peak current, A: 184,9 @ 500us

-- Evgenij
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WaveRider
Sat Feb 18 2006, 09:56PM
WaveRider Registered Member #29 Joined: Fri Feb 03 2006, 09:00AM
Location: Hasselt, Belgium
Posts: 500
My inductance value is a little bit high because I did not fiddle with the wire sizes to get 320 turns exactly (came out to about 348 turns). It looks like the results are quite similar.. This is good! The peak force is likely to be overestimated in simple models, particularly when the armature nearly fills the coil...it's the average force that is important... Evgenij, how are you solving the problem? My understanding is that FEMM is not too good with time domain problems...

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Evgenij
Sat Feb 18 2006, 11:18PM
Evgenij Registered Member #200 Joined: Sat Feb 18 2006, 01:49AM
Location: Pskov, Russia
Posts: 21
WaveRider wrote ...
Evgenij, how are you solving the problem? My understanding is that FEMM is not too good with time domain problems...
FEMM has support of LUA-script language. We use a LUA-script for the description of model. By means of a script the FEMM is repeatedly started for fields calculating in every timestep.

And I compiled your program to Windows-PC, and try use it. But your soft show me more high velocity (approx. on 15%) than my real coilgun devices can reach.

We had originally such excess in our calculations too. Now we make greater work for approach of teoretical and experimental results.

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TheMerovingian
Sun Feb 19 2006, 09:54PM
TheMerovingian Registered Member #14 Joined: Thu Feb 02 2006, 01:04PM
Location: Prato/italy
Posts: 383
Two simulations. One letting alone the values calculated by the pre-simulation phase (resistance and inductance , forced additional resistance) and the second with forced initial inductance.
Same problem as waverider (the last coil layer is incomplete)


Simulation with the values not forced
INPUT:
capacitance: 1000uF
initial voltage : 300V
timestep: 1us
wire diameter (copper only): 0.627mm
double wire insulation thickness: 0.05mm
coil length: 30mm
coil internal diameter: 8mm
coil external diameter: 16.5mm
projectile diameter: 5.5mm
projectile length: 30mm
magnetization model:polynomial

OUTPUT:
Total resistance, Ohm: 1.249
Outline resistance, Ohm: 0.49 (simultated as cap ESR)
Coil resistance, Ohm 0.759 (calculated with my formula)
Turns of coil: 320
Wire length, m: 13.59
Initial coil inductance, uH: 347 (sorry, wheeler formula, the projectile added inductance is calculated and added to the initial value)
Projectile’s mass, g: 5.555
Energy of caps, J: 45
Peak velocity, m/s: 18.37
Out velocity, m/s: 16.2
Kinetic energy, J: 0.729
Efficiency, %: 1.61
Peak force, N: 57.1N @ 982us
Peak current, A: 178 @ 591us


Simulation with the values forced
INPUT:
capacitance: 1000uF
initial voltage : 300V
timestep: 1us
wire diameter (copper only): 0.627mm
double wire insulation thickness: 0.05mm
coil length: 30mm
coil internal diameter: 8mm
coil external diameter: 16.5mm
projectile diameter: 5.5mm
projectile length: 30mm
magnetization model:polynomial
Initial permeability : 5000
Saturation magnetization: 2.1Tesla

OUTPUT:
Total resistance, Ohm: 1.242
Outline resistance, Ohm: 0.49 (simultated as cap ESR)
Coil resistance, Ohm 0.752 (forced value)
Turns of coil: 320

Initial coil inductance, uH: 379.7 (forced vaue)
Projectile’s mass, g: 5.555
Energy of caps, J: 45
Peak velocity, m/s: 18.55
Out velocity, m/s: 16.38
Kinetic energy, J: 0.74
Efficiency, %: 1.65
Peak force, N: 57.7N @ 1ms
Peak current, A: 176.3 @ 630us
Initial permeability : 5000
Saturation magnetization: 2.1Tesla

The differences are quite significative but still compatible:

With the values forced:

Peak velocity, m/s: +18%
Out velocity, m/s: +11%
Kinetic energy, J: +22%
Efficiency, %: +22%
Peak force, N: +19%
Peak current, A: -4.3%


With the values not forced:

Peak velocity, m/s: +13%
Out velocity, m/s: +9,5%
Kinetic energy, J: +19%
Efficiency, %: +19%
Peak force, N: +18%
Peak current, A: -3.7%

I wondering what is the saturation magnetization in the femm program for steel


The waveforms are listed in the pdf files

] 1140386059_14_FT363_merosimulationnoforcingcurrent voltage.pdf[/file]
] 1140386059_14_FT363_merosimulationnoforcingspeedfo rce.pdf[/file]
] 1140386059_14_FT363_merosimulationforcingcurrentvo ltage.pdf[/file]
] 1140386059_14_FT363_merosimulationforcingspeedforc e.pdf[/file]
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WaveRider
Mon Feb 20 2006, 08:41AM
WaveRider Registered Member #29 Joined: Fri Feb 03 2006, 09:00AM
Location: Hasselt, Belgium
Posts: 500
Hey Mero! Do you have any experimental data on the coilgun that we are all madly modeling! wink
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TheMerovingian
Mon Feb 20 2006, 10:46AM
TheMerovingian Registered Member #14 Joined: Thu Feb 02 2006, 01:04PM
Location: Prato/italy
Posts: 383
Hhmm, ehm no wave. I'm building the halfbridge and have simulated that some time ago. The first stage is very similar to that we modelled except that there is an igbt instead a scr and it can turn off when the projectile crosses center.

maybe we should construct this device and test the models.

For the halfbridge i obtained energies up to 5.6J and speeds in the 49m/s range (total
eff 7.9%), quite disappointing since i dreamed to break the 10J barrier with my halfbridge, i hope that my simulator is wrong cheesey.

Anyway throwing toghether this coilgun would be easy. I have tons of 2n6509 25A scrs and tons of 120uF disposable camera caps. I will search if i have the barrel.


EDIT: I found an old barrel from a previous version of the halfbridge. It has holes for the sensors but that's not important. Outer dimension 8mm, inner 6 mm, projectile 5 mm.

I should find time to wind it.
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WaveRider
Mon Feb 20 2006, 12:00PM
WaveRider Registered Member #29 Joined: Fri Feb 03 2006, 09:00AM
Location: Hasselt, Belgium
Posts: 500
Evgenij wrote: FEMM has support of LUA-script language. We use a LUA-script for the description of model. By means of a script the FEMM is repeatedly started for fields calculating in every timestep.

Hmm.. I thought you could do something like this.. What assumptions did you make in terms of saturation model? How did you link the FEM to the circuit model? Your velocity seems a bit low, but the current curve looks good...

And I compiled your program to Windows-PC, and try use it. But your soft show me more high velocity (approx. on 15%) than my real coilgun devices can reach.
[

This is typical behaviour, since the coil winding model is very simple. The FEM will certainly give better results. Also, my simple model is not designed for modeling open coils (although an open coil can be "fudged"...)

We had originally such excess in our calculations too. Now we make greater work for approach of teoretical and experimental results.


My FEM-based model gives far better results for open coils. FEMM should produce good results, too.. Altho' we won't know for sure until we do the experiments! cheesey

Have fun!
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TheMerovingian
Mon Feb 20 2006, 12:04PM
TheMerovingian Registered Member #14 Joined: Thu Feb 02 2006, 01:04PM
Location: Prato/italy
Posts: 383
Waverider is right, we have no experimental reference to test the data.

Evgenij can you tell me the saturation magnetization of the armature you tested?


I think that in this thread will be more to learn with some experimental data.
I need some time to build the test device, I have exam sessions now, so need to study, no time for hand-working. Maybe the next week I will build it
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TheMerovingian
Tue Feb 28 2006, 12:59PM
TheMerovingian Registered Member #14 Joined: Thu Feb 02 2006, 01:04PM
Location: Prato/italy
Posts: 383
I have built a test device to measure speed of a given configuration and set of parameters.

The setup is simple. A single coil with SCR+Diode configuration, 920uF worth of capacitors, the coil, a multimeter, a pushbutton, a rogosky pulse amperometer (my creation)

Coil parameters:
Turns : 280
Internal Diameter : 8mm
external diameter : 22mm
lenght: 30mm

Coil electrical parameters:
297uH (measured with LCR multimeter)
417 mOmh (same as above)

Projectile Parameters:
projectile mass : 5,6g
projectile diameter : 5,5mm
starting position: -27mm

Cirtuit parameters:
Capacitance:920uF
Capacitor total ESR : 87mohm
SCR voltage drop: 1.4V
Diode voltage drop : 800mV

Remaining parameters:
Saturation magnetization(steel): 2,0Tesla (this gives the bigger problems)
Initial permeability (steel):5000
No shields



Results:

Dryfires:
7 measures, average 302,7A standard deviation 4,4A


projectile fires:
Speed:14 measures , average 14,7m/s , standard deviation 0,3m/s
current: average 299,3A,standard deviation 2,5A

Differences:

Dryfire simulation: 303,7A (+0,3%)
Projectile simulation (current) : 296,6A (-0,9%)
projectile simulation (speed) : 18,4m/s (+25%, seems very high, but consider the indetermination on weight, saturation magnetization and position repeteability, also no eddy currents considered)

Simulate and tell me your results for these parameters:

attached there are the excel sheet, and the graphs along setup photos
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Evgenij
Tue Feb 28 2006, 11:12PM
Evgenij Registered Member #200 Joined: Sat Feb 18 2006, 01:49AM
Location: Pskov, Russia
Posts: 21
TheMerovingian wrote ...

Simulate and tell me your results for these parameters:
Wire diameter, projectile length, initial voltage?

But if your wire is 0.8 mm, projectile 5.5x30 mm and 300 Volts then my result 14.44 m/s.

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