Well, wind and solar energy are good places to look at. The highest wind speed recorded in Antartica was roughly 199 mph, so they would definitely gain a large amount of energy from the wind. A smaller turbine can handle severe weather conditions, so setting some up along the most wind ridden places would be good. Solar energy would also be the best option since their days are longer than their nights over there. There can be days at a time where the sun doesn't rise at all, and then there are some where there is sunlight for a full 24 hours. So, it really depends on your preference, and the cons and pros of the energy type.
For wind: Set up a series of turbines along the areas that have the most wind. Turbines can withstand large storms. There is usually some kind of wind blowing.
For solar: Set up some solar panels where they would be able to get the most amount of sunlight. There are 24 hour long days of sunlight, but there are also some days where there is no sunlight at all.
Hope this helps you a bit.
