MADISON — Madison Electric Works is the latest utility company to propose what would be the largest solar panel project in the state if it is built. The publicly owned utility company is seeking proposals for a 4-megawatt solar project to be located in the Madison Business Park. The company would buy power from the bid winner at a fixed price for between 20 and 30 years, eventually purchasing the solar facility, said Calvin Ames, superintendent for Madison Electric Works. In addition to Madison, a group in Gouldsboro is working on developing solar projects that would exceed Bowdoin College’s 1.2-megawatt solar farm, which is the largest in the state. A plan for a 10- to 20-megawatt project in Winslow fell apart two weeks ago when the landowner and solar company couldn’t agree on contract terms.