[quote author="CJ"]OK, any math geeks out there?
Since 99 percent of all audio transformers are wound on a square or rectangular bobbin, I am trying to figure out what's going with the wire as far as linear speed is concerned. I am looking at a square bobbin for now so I don't get any brain bubbles.
As the corner of the bobbin comes up during rotation, the wire speed and location changes. This can make life interesting when designing a wire tensioner. If you feel the wire between your fingers while winding a bobbin, you can feel this oscilation. Most tensioners handle this with a "dancer", which is kind of like a low mass spring loaded tone arm type thingy that sits out above the tensioner..This acts kind of like a shock absorber . It's purpose is to try and keep a constant tension on the wire, even though all heck is breaking loose, especially at high RPM's. But this arm will have mass, which is bad, because this mass can break fine wire when really spinning the mandrel.
A square bobbin, at high speeds, can actually hammer the copper wire and distort it, which can weaken it and cause a possible failure down the line. You can really hear this slap when someone is winding a big rectangular coil, say 1 by 2 feet. A little slap is ok, as it tells you that a nice tight wind is being done. But too much slap can be bad, not only by harming the wire, but by giving the copper too much upward momentum, which actually can lift the wire off the bobbin momentarily. This usually manifests itself as a bowed out winding, which means less fill. Every coil has a little bow in it, but too much is bad. A slow winding rate is one answer, but for #50 wire....it takes a long time to wind a coil.
Anyway, I came up with the weird idea of changing the winding speed as the bobbin rotates, thus keeping a constant tension on the wire without a fancy tension arm. This could be done by writing a program for a stepper motor, but I need an equation first. I am not sure how to approach this math, either vectors or polar coordinates seem the most obvious.
So if anybody can give me an idea or two getting an equation, that would be cool. I guess I am looking for the linear speed of the magnet wire as it is being wound on a square bobbin. I am currently trying a brute force approach on graph paper, hoping this will get me going in the rifgt direction.
Here is a lame pic of what I am talikng about, this is a bobbin goint thru it's rotation, and the result to the wire as far as location. I am guessing this will track out as some sort of sin function or catenary.
Thanks!
cj
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Just a thought on sourcing constant tension to the square bobbin, may be you can find an alternative using a combination of pulley wheels which can obsorb the tension but also pull enough tension to the winding. You can probably use the stepper motor controlled by a timer to control a left to right oscillating mechanism to move the bobbin.
Sometimes the simplest approach can be the most effective and time efficient, with a spontaneous result to allow for fast adjustments.
Looking forward to see some christmas transformers :grin: