Protect European Energy Security Act This bill requires the submission of certain reports to Congress related to Russia's construction of the Nord Stream 2 and Turk Stream pipelines. The Department of State shall report on (1) its efforts to promote energy security in Ukraine and the European Union and decrease their dependence on Russian energy sources, (2) its diplomatic efforts to oppose the pipelines, and (3) an estimate of European demand for natural gas from 2019 through 2023. The Department of the Treasury shall report on each entity involved in the construction of the pipelines. The Office of the Director of National Intelligence shall report on the impact of the Nord Stream 2 pipeline on (1) U.S. interests and security objectives; (2) European energy security and defense posture; (3) Russian influence in Europe; and (4) Ukraine, including the impact of reductions in transit fees due to the pipeline.