Construction has begun on Greeneville Energy Authority’s new broadband internet network.The phase one network in Greeneville will service all GEA customers within the city limits.Greeneville Energy Authority (GEA) President Chuck Bowlin told the Energy Authority board on Tuesday that crews had recently begun installation of fiber optic broadband cable in the town.The network in the Town of Greeneville will serve as the base of the utility’s broadband network that will eventually reach into Greene County.