The Board of Supervisors of Louisa County, home of the Virginia Electric and Power Company's North Anna nuclear power plant, has voted to look into the construction of fallout shelters for county residents.

"I think the people who live in the immediate vicinity of the plant are entitled to extra protection," said Supervisor Robert A. Whitlock; who suggested the investigation.

The county traditionally has been supportive of the nuclear plant, but Whitlock said recent publicity about the shutdown of atom-powered plants around the country had prompted new concern.

The board voted unanimously to instruct County Administrator Edward C. Kube to contact the Nuclear Regulatory Agency to see if funds might be available to provide fallout shelters for Louisa residents living within one mile of the plant.

Kube said installation of an alarm system to warn of nuclear accidents is a step that could be taken in conjunction with any other measures.

Vepco's North Anna plant, a $2.5 billion facility, was begun in 1970. The first of four generating units was brought on line last year.

Environmental critics consistently have charged that the site of the plant was poorly selected, and that the plant was built atop a geological fault that makes it vulnerable to earthquake damage.

Vepco spokesmen in the past have dismissed the criticism as unfounded.