n333-bifilar-coil

333-layer bifilar coil

This is a design of a 333-layer bifilar coil, meaning that if this design were to be fabricated on a 334-layer printed circuit board (PCB), there would be 333 bifilar coils wired in series, one bifilar coil per layer (with the 334th layer to connect the windings in the proper order). Note that I'm not aware of any PCB manufacturer anywhere in the world that can handle fabricating a 334-layer PCB... so the question becomes:

Why 333 layers?

333 is one of my favorite numbers and reminds me of Jeremiah 33:3. Also, I figure that if an unusual number of coils can be successfully wired up like this, it can probably be done for any number of coils.

Design theory

The theory is that when you drive the coil with a sine wave at its resonant frequency, it can transfer power at its greatest efficiency.

The beauty of this design is that there are multiple tap points along the length of the coils that result in different resonant frequencies due to the varying reactance. Thus, if your electronics drive the coils properly from the different tap points, this single coil design can potentially support the optimal energy transfer of multiple frequencies.

Another experiment to try is to ground the second tap from the end, drive the first tap with a sine wave at the resonant frequency of the remaining coil, and then get the amplified benefits at the end tap as in a secondary coil of a transformer.

How it is wired

All coils are concentric and wind in the same direction. Therefore the magnetic field from each coil section combines uniformly with the other coils resulting in a stronger, cohesive field.

Here is a diagram showing how it is wired (you may need to zoom in to see the labels):

This shows the top layer on an N=360 (winds per layer) coil:

Parametric design

In this design, coils can be created with varying trace widths, gaps between traces, and number of spirals per coil. As a result, this parametric design could theoretically be used for coils of any manufacturable size (from microscopic on up).

Enjoy!

License

Copyright 2019 Glenn M. Lewis. All Rights Reserved.

Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at

http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License.