The Energy Department said Tuesday it had fined Lawrence Livermore National Laboratory, one of the nation’s two nuclear weapons design centers, $200,000 for deficiencies in its program to protect workers from exposure to toxic beryllium dust. A consent order issued by the Energy Department’s Office of Health, Safety and Security outlined a series of breakdowns at the lab, including failure to adequately control worker exposure, perform hazard assessments in buildings, measure the amount of beryllium in work areas and effectively train employees who work with the metal.