By Bernie Woodall

LOS ANGELES, Dec 30 (Reuters) - A unit of France's Areva Group (CEPFi.PA: Quote, Profile, Research) on Tuesday applied to the U.S. Nuclear Regulatory Commission for permission to build a $2 billion uranium enrichment plant in Idaho, the company said.

Areva Enrichment Services, based in Bethesda, Maryland, last May announced plans to build the Eagle Rock Enrichment Facility 18 miles from Idaho Falls. The plant, which will be near a federally run lab where nuclear energy work has been done for more than 50 years, is to open in 2014.

Areva is one of three companies planning newer-technology uranium enrichment plants to serve the 104 U.S. nuclear power reactors. Every year, these reactors need 13 million to 14 million separative work units (SWU), which measure the amount of work expended during uranium enrichment.

Three new U.S. uranium enrichment plants are to have the capacity to produce nearly 13 million SWU a year by 2015.

If an expected renaissance for nuclear power in the United States occurs, need for all three new plants is clear. The three companies said that even if demand does not grow as expected, there will be enough demand for all three plants, including supplying the international uranium market.

The NRC says it expects to get applications for construction of 34 nuclear reactors by 2010, and has already received license applications for about half that figure.

The only U.S.-based uranium enrichment plant now in operation is owned by USEC Inc (USU.N: Quote, Profile, Research) in Paducah, Kentucky. That plant can make up to 6 million SWU a year. Its gaseous diffusion technology is more than a half century old and uses 95 percent more electricity than the newer centrifuge technology of the three new plants.

Areva's Idaho plant will be capable of producing 3 million SWU a year, said company spokesman Jarret Adams.