• Energy Research

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

The aim of research is to simulate the zones of solar radiation on the curved surfaces of the shells of high-rise buildings for the effective use of renewable solar energy. An urgent task is the development of tools that can substantiate the decision-making by designers about the location of solar thermal devices in the energy-efficient design of curvilinear high-rise buildings. The main attention is paid to high-rise buildings, is actively growing in modern megalopolises and requires a significant energy resource. To optimize the integration of solar thermal devices in high-rise buildings, it is important to take into account a set of design parameters, including parameters of surface shape and location in space. A feature of curved surfaces, considered in the study, is their aerodynamic properties, which provide them with the advantage of choosing among modern high-rise buildings. At the same time, the complexity of setting the parameters of a curved surface to determine the zones of solar radiation for the effective use of regenerative solar energy lies in providing reliable and convenient tools for optimizing decision-making. The study proposes an application of the method based on a discrete geometric model of solar radiation input on the surface of the shells of high-rise buildings, described by compartments of curved geometric surfaces. As a result of modeling, let’s obtain a family of lines of the same level of solar radiation on a certain curved surface for the given parameters of time and geographic location. As an example of simulation modeling, the performed calculations of the instantaneous model of the distribution of solar radiation on the compartments of the curved surfaces of an ellipsoid of revolution, hemisphere, hyperbolic paraboloid. On the basis of the proposed model for the distribution of solar radiation over curvilinear surfaces of buildings, the influence of factors arising in the design process is investigated: changes in the geometric parameters of the surface shape, orientation to the cardinal points, the formation of zones of its own shadow on surfaces. Calculations were performed and instantaneous solar radiation zones were constructed on the surfaces of a hemisphere, a hyperbolic paraboloid with various geometric parameters, taking into account different orientations relative to the cardinal points, and determining the zones of its own shadow. At this stage of the study, the result is an algorithm for constructing zones of different levels of solar radiation on curved surfaces of high-rise buildings. The advantage of the algorithm is the ability to analyze the results of changes in the design parameters of the surface of a high-rise building when placing solar systems on them. The proposed approach will provide a basis for automating the modeling process, will help expand the scope of solar systems in high-rise construction and increase the efficiency of their work