Definition of the daily model of distribution of solar radiation on the curved surfaces of buildings

The development of the integration of renewable energy into the energy supply of buildings leads to the formulation of the problem of efficient placement of solar thermal devices on surfaces of complex shapes (shells). An urgent task is the development of tools that can justify the decision-making by designers about the advisability of placing solar thermal devices and their implementation in the energy-efficient design of buildings. The study solves the problem of finding zones on the surface of the envelope, receiving the maximum amount of solar radiation during a given period of time – an epoch. A method is applied based on discrete geometric modeling of solar radiation input to curved surfaces of buildings. In this case, the interaction of a set of design parameters is taken into account: parameters of the shape of a curved surface and parameters of variable sunlight for the characteristic dates of September 21, March 21 – the solar equinox and December 21, June 21 – the winter and summer solstices. In the course of the study, N is determined – the optimal number of fixed positions of the Sun on the solar trajectory for different angles of solar declination (for June 22 N=17, for September 21, March 21 N=11, for December 21 N=8), for a given geographical location. One of the examples of modeling the amount of solar radiation entering the surface of a hyperbolic paraboloid during the day at the geographical latitude δ=52° (Kyiv, Ukraine) is shown. The simulation results in a family of lines of the same level of solar radiation on a curved surface during the day. Using the values of the averaged daily model, it is possible to proceed to obtaining averaged daily models for the estimated time interval at the stage of pre-project proposals to predict the efficiency of using the solar system