CONCORD, N.H. — A House subcommittee is beginning work on three bills inspired by the proposed construction of a privately funded, 187-mile transmission line originating in northern New Hampshire. The $1.4 billion Northern Pass project entails building a line that would transmit 1,200 megawatts of Canadian hydroelectric power from Hydro-Quebec into New England, enough to serve 1.2 million homes. It has faced intense criticism in the state’s North Country, where opponents argue that towers carrying the electricity would damage the environment, lower property values, and hurt tourism. Supporters counter that the power would reduce carbon emissions. The House Science, Technology and Energy Committee held some bills related to the project to be voted on next year. A subcommittee begins work Tuesday on three that focus on transmission lines.