A thermal runaway shield (“TRS”) having at least one TRS module. The TRS module comprises a first wall, a second wall, and fibers. The first wall has an exterior side and an interior side. The second wall has an exterior side and an interior side. The fibers are disposed on the interior side of the first wall and on the interior side of the second wall. The first wall is coupled to the second wall forming an inner cavity. The at least one of the exterior side of the first wall and the exterior side of the second wall has a shape for conforming to a shape of at least one energy storage device cell.