Practical Coilgun Design |
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FEMM
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FEMM - Iron at Coil EntryWe've studied several air-core coils, isn't it about time we add iron? What thickness of iron works best? If you remember your early physics experiments, then you know a coil wound on a nail becomes many times stronger. Note that we can't just add iron anywhere. For example, if you put the coil around an iron pipe, then all the magnetic flux goes into the pipe instead of the projectile. Not good. We need to put iron outside the coil somewhere. We also want to study the whole range of motion. Some good work at the Magnetic Gun Club found the coil's force in the presence of magnetic shielding and end caps can increase the force by up to five times. But is this the whole story? It is possible that increased force at one point comes at the expense of decreased force elsewhere. So we'll use scripting to move the projectile through the entire range of influence, and find the total work done. The simplest place to add iron is at the entry to the coil, at the entry. In theory it will shorten the path outside the coil that the flux must travel. It is easy to get a plain iron washer from the hardware store in a variety of sizes, and it sure doesn't get any simpler than that. But what thickness of iron will work best? This page includes
FEMM ModelThe simplest arrangement of iron is to add an end cap (an iron washer) at the entry to the coil. This simulation varies its thickness and computes total work done on the projectile. This model approximates my actual parts, using nice round numbers:
The projectile is made of iron welding rod:
Like my other FEMM models, this model has some important assumptions:
Pre-processor Lua Program
Post-processor Lua Program
ResultsYou can see the detailed Excel spreadsheet here. You can get the raw results file here as it was written by FEMM. For each washer thickness, it computes the force on the projectile at many positions and sums the result. This numerical solution integrates force as it acts over the distance the projectile moves, yielding "work". We ignore friction and losses, and assume the work is converted completely into kinetic energy. The graph shows the total work done for the given continuous coil current.
The highest and lowest amounts of work differ by 1.5%. ConclusionObviously, there is no dependence on work and washer thickness. The total kinetic energy is practically the same for every washer! The shape of the force graphs reveals the rest of the story. Although the peak force has increased, the tails have lower force. And the total "force over a distance" remains constant. The analysis of the Magnetic Gun Club was accurate, but its results do not match my model. It found up to a 5x increase in force, where this coil shows no improvement. I need to figure out why they are different. I speculate that differences are caused by coil geometry or iron substance. More work is needed. For the single washer studied there is zero benefit in exit velocity, regardless of washer thickness. I believe the iron shows no improvement because the flux path is dominated by air. Look again at the magnetic circuit equivalent model and observe the flux path includes both end caps, and down the tube and back around the outside. The total reluctance is completely dominated by air. It will require iron be added to the entire circuit to gain any advantage. |
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Last Update 2008-06-15
©1998-2024 Barry Hansen |