An inverted exhaust plenum module exhausts air from an enclosure into an ambient environment while mitigating airflow restrictions caused by ambient wind conditions, particularly headwinds impinging on exhaust vents. The plenum module includes wall elements that extend downwards from separate edges of two separate roof elements of the enclosure, forming a plenum between the wall elements that is open at the top. Exhaust vents in the wall elements exhaust air from the enclosure into the plenum to circulate into the ambient environment via the top of the plenum. By exhausting air into a plenum that extends beneath roof elements, the vents are at least partially obscured from ambient winds that might otherwise impinge on the vents. A wing element can be installed to induce exhaust airflow via lowering air pressure at the top of the plenum. The plenum module can be a separate module that is coupled to a structure.