A system for dehumidifying air, comprising: • at least one local dehumidifying unit, comprising: ∘ an air channel network including a main air channel that extends from an air inlet to an air outlet, and that successively includes a primary air channel section, a secondary air channel section, and a tertiary air channel section; ∘ an air pump that is arranged inside the main air channel and configured to effect a flow of air therethrough; ∘ a water channel network including a main water channel that extends from a water inlet to a water outlet, and that includes a primary water channel section; ∘ a heat exchanger in which said primary and tertiary air channel sections (214, 218) are arranged in heat exchanging contact; and a common water supply unit configured to provide for a flow of cooling-water, and including at least one cooling-water outlet that is operably connected to the water inlet of the at least one local dehumidifier, wherein the system further comprises an air-water interfacer, said secondary air channel section opening into the air-water interfacer for supplying air into the air-water interfacer, said primary water channel section opening into the air-water interfacer for supplying cooling-water into the air-water interfacer, said air-water interfacer being arranged for allowing direct physical fluid exchanging contact between the supplied air and the supplied cooling water, wherein the air channel network further includes: • at least one bypass air channel section (220, 224) that branches off from the main air channel to extend around the heat exchanger and to eventually rejoin the main air channel, and that provides for a bypass around one of the primary air channel section and the tertiary air channel section; • at least one bypass valve (222, 226), associated with the bypass air channel section (220, 224), and configured to enable the flow of air through the main air channel to be alternatively switched between the bypassed air channel section (214, 218) and the bypass air channel section (220, 224). • at least one local dehumidifying unit, comprising: ∘ an air channel network including a main air channel that extends from an air inlet to an air outlet, and that successively includes a primary air channel section, a secondary air channel section, and a tertiary air channel section; ∘ an air pump that is arranged inside the main air channel and configured to effect a flow of air therethrough; ∘ a water channel network including a main water channel that extends from a water inlet to a water outlet, and that includes a primary water channel section; ∘ a heat exchanger in which said primary and tertiary air channel sections (214, 218) are arranged in heat exchanging contact; and ∘ an air channel network including a main air channel that extends from an air inlet to an air outlet, and that successively includes a primary air channel section, a secondary air channel section, and a tertiary air channel section; ∘ an air pump that is arranged inside the main air channel and configured to effect a flow of air therethrough; ∘ a water channel network including a main water channel that extends from a water inlet to a water outlet, and that includes a primary water channel section; ∘ a heat exchanger in which said primary and tertiary air channel sections (214, 218) are arranged in heat exchanging contact; and • at least one bypass air channel section (220, 224) that branches off from the main air channel to extend around the heat exchanger and to eventually rejoin the main air channel, and that provides for a bypass around one of the primary air channel section and the tertiary air channel section; • at least one bypass valve (222, 226), associated with the bypass air channel section (220, 224), and configured to enable the flow of air through the main air channel to be alternatively switched between the bypassed air channel section (214, 218) and the bypass air channel section (220, 224).