Satisfying Energy Needs and Saving the Environment Act of 2013 or the SENSE Act of 2013 - Makes certain emission limits for hydrogen chloride and sulfur dioxide, in regulations entitled "Emission Limits for Existing EGUs," inapplicable to an electric utility steam generating unit in the subcategory "Coal-fired unit not low rank virgin coal" if the unit: (1) is in operation as of the date of enactment of this Act, (2) utilizes circulating fluidized bed technology to convert coal refuse into energy, and (3) derives at least 75 percent of its heat input from coal refuse or is a qualifying small power production or cogeneration facility as defined by the Federal Power Act.