The task of developing innovative approaches to creation of efficient, commercially attractive, highly radiation-resistant concentrator solar arrays (SA) for space purposes, based on the concentrating linear Fresnel lenses is solved. The analysis of the available concentrator modules has shown the possibility to reduce significantly weight and reduce really the cost of solar arrays as compared to conventional planar photovolta ic panels. The sample module model short-focus (30 ÷ 40 mm) concentrator SA was created and studied; its structure is at most close to a traditional deployment schemes and structural parameters of the existing planar space SA.