A quarter square [mile] field would be prohibitively expensive to "trolley wire."
Since most farm operations are on dry soil the cheapest solution would be to have a special wire or wires laying on the ground with the wire insulated with a slotted insulator.
A brush on the tractor pully tracks in the slot for power.
The tractor lifts the conductor / insulator up over the tractor and then to the unplowed side of the tractor for the next pass and so on.
Wires on one or both ends of the field would power the slotted insulator conductor.
A cross or star or * shaped cross section insulator could be the basic structure with the wires attached inside.
The line could be a permanent part of the field's infrastructure or be portable and moved from field to field.
Some of the larger articulated tractors require 300 kW or more but most tractors are only 100 - 150 kW.
A 440 3 phase power supply could work well with a 6" diameter insulator.
The system would be shut down when a thunderstorm threatened.
This idea came from looking at implements mired in mud after a rain.
They can't harvest or plant _anyway_ when it rains.
Bret Cahill
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