A space elevator is basically a satellite with a string attaching it to the Earth. Centrifugal force from the Earth's rotation makes what ever is on the end of the string want to move away from the Earth, but the line tethers it. You can then attach a climbing machine to the line and have it go up and down to the satellite. It's a well established idea in theory, but we're waiting for materials technology to provide something that is both strong enough and light enough to serve as a line.
But such a line need not only be a rope. It could also be a power cable. I reckon we could put some great big solar panels up in orbit, and send the power down the line. Put it far enough away from the planet, and the amount of sunlight reaching the surface of the world would not really be affected.
Just a thought. I doubt if I'm the only one to have thought it.