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The main issue of the study is the problem of the possibility and feasibility of 3D modeling, and the use of supply and exhaust systems for heat and moisture recovery in the design of a passive building, using a 2-stage scheme of air heating in climatic and geographical conditions for the city of Kaliningrad. After all, using this mechanical ventilation and air heating scheme in a passive building, it is possible to reduce annual energy costs by 3-4 times. The higher capital costs of a passive building are offset by lower operating costs due to a significant reduction in energy consumption.