Could solar power energize Europe?

It has long been posited that the Sahara desert is a large repository of solar power that could bring cheap and clean energy to all of West Africa. Some claim that it could even provide for Europe, which at this point remains highly hypothetical. Conducting all that energy towards the north remains the larger structural problem. There are, however, some engineers and venture capital firms looking into it right now. German news channel Deutsche Welle has this interesting documentary on alternative energies projects in Africa (in English, 26 min.).