Your summation has some additional terms that shouldn't be there. There are seven different areas of the BH curve that you add or subtract, but you sum 12 values!!! When you restrict yourself to the seven values you get a net deliverance of energy from the current source of 14 units of energy that FEMM will equate to the work done by the moving magnet being attracted then pushed away.
Smudge
Hi Smudge thanks for jumping in. And I think you meant 11 not 12 if so then yes you are right because 4 of those 11 values I consider to be mechanical work. Why is that? Well the logic is as follows. When we power up the core with the coil, besides its negligibly small saturation current, we go so far up with the current to essentially double the saturated core flux by using it as pure air coil which means we need to drive the coil current to VERY high levels to about match the fictional surface current of the already saturated core. This can be 10000's of amperes for iron for instance. Now our magnet that is going to be attracted to this will essentially feel the coils very high current and an additionally matching current due to all the core's aligned electrons contributing to its fictional surface current. And that is the real key here. Without the core the mechanical work would indeed have a 1:1 ratio with the electrical source that is maintaining the constant current of the coil. By adding the core however the electrical source still needs to provide the same amount of energy to maintain the coil current but mechanically we about doubled the work because the magnet sees 2 nearly equal strong currents now versus the singular high current if there were no core. Again electrically the flux change is the same for the coil with or without the core as the core is pushed way beyond saturation so the only flux change it sees is due to the magnet approaching which is the same regardless of the presence of the core. And that is how we gain an additional 1 unit of work during the mechanical cycle. FEMM calculates forces based on field strength and since both the core and coil contribute to this field that would be as if the magnet sees not one but two coils so I am confident that the force will also increase by nearly double as much leading to double the mechanical work than if only the coil were there. Now I know this is just an idealized example and I believe you wont get an exact equivalent extra mechanical work from a saturated core but I would bet it would be pretty darn close if we tried to match the coil and core's "surface" current, saturation levels and the strength of the magnet.
« Last Edit: 2026-07-19, 06:39:50 by broli »
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