A membrane module for hydrogen separation comprises: a stack of membrane packs (66); a supply manifold; an exhaust manifold; and a feed plate assembly (100) disposed between each membrane pack, the feed plate assembly comprising: a center feed plate (102) comprising a central region, and at least one supply channel (114) and at least one exhaust channel (116) formed through a thickness of the center feed plate on a periphery thereof; and a feed frame (118) interposed between the center feed plate and the adjacent membrane packs, the feed frame formed around a periphery of the center feed plate and forming an open volume between the center feed plate and the adjacent membrane pack; wherein the at least one supply channel fluidly connects the supply manifold with the open volume, and the at least one exhaust channel fluidly connects the exhaust manifold with the open volume.