A pressure-relief device includes a housing, a through-line, a feed-line connection, and a discharge-line connection. The housing comprises a housing wall that defines a chamber in an interior of the housing. The through-line, which extends, at least in sections, through the chamber and is configured for connection to the media line via the feed-line connection and the discharge-line connection, includes a through-wall that is formed, at least in part, from an elastically deformable material. A controller causes an inner pressure within the chamber to transition between a production pressure and a relief pressure that is less than the production pressure.