It's not really worthwhile in this type of situation. (It makes sense in other situations however ... like transferring power from the ground to an airplane or satellite.)
The two most plausible system types are:
(A) Microwaves / radiowaves: Emitted by an antenna, collected by a rectenna
(B) Visible / infrared: Emitted by a laser, collected by a photovoltaic cell.
But it won't work very well. The problems are:
Losses at the transmitting end: You can't turn electrical power into electromagnetic radiation with 100% efficiency in practice. For (B), the best you can possibly hope for is ~75% efficiency (link), but that's at pretty low power. I suspect that a huge gigawatt laser would be much less efficient. I'm not as familiar with (A); it might be higher.
Losses at the receiving end: You can't turn electromagnetic radiation into electrical power with 100% efficiency. I don't know enough to guess the actual efficiency, particularly since it depends on the intensity of the incoming radiation (for both (A) and (B)).
Losses in tranit: The question concerns free-space transmission, not waveguides (or fiber optics) (which have their own problems), so I'll address just that. For (A), you can use a phased array antenna to beam the energy to some extent, but it will still spread out enough to cause most of it to miss the target at any appreciable distance (certainly over 1 kilometer). For (B), you can beam a laser over a couple kilometers with a reasonable-sized receiver, but there would be significant losses (absorption and scattering) from dust in the air, humidity, fog, etc. See free space optical communications for more discussion of these practicalities in a slightly different context.
Too much power: Additionally, free-space optical transmission won't support that much power, like the gigawatts that might be produced by a power plant. Such an extremely powerful laser will probably ionize the air, which leads to absorption. It is also a safety hazard for many obvious reasons.
So anyway, electrical wires are the better, cheaper, and more efficient solution, except when they are literally impossible (like recharging drone airplanes, see link at top).