Calculation of the Instant Model of Solar Radiation Distribution on Curved Surfaces in High-Rise Buildings

Abstract

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

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

“…In particular, it allows to determine the size of the effective solar radiation zone. The representation of the process of interaction between the parameters of alternating sunlight proposed in the study (based on the geometric model of the diurnal cone of solar rays [14]) and the geometric parameters of the shape of a curved surface forms the basis of the discrete approach…”

“…In [14], the authors presented a geometric model of the distribution of solar radiation over curvilinear surfaces of enclosing structures with the ability to determine zones on it, get the maximum amount of solar radiation within a given period of time. The problem has a geometric interpretation and is reduced to finding zones on a given surface, getting the maximum amount of solar radiation within a given period of time.…”

“…The problem has a geometric interpretation and is reduced to finding zones on a given surface, getting the maximum amount of solar radiation within a given period of time. In [14] a geometric model of the arrival of solar radiation on the surface of the shells is described by the example of a hyperbolic paraboloid, by the example of sections of a hemisphere, by the example of an ellipsoid of revolution at a given moment in time. In work on the example of surfaces used for shaping in high-rise buildings, the mechanism of finding instant solar radiation zones on these surfaces is described.…”

“…In work on the example of surfaces used for shaping in high-rise buildings, the mechanism of finding instant solar radiation zones on these surfaces is described. This publication is a direct continuation of the studies given in [14], in which the process of constructing an instant model of the distribution of solar radiation over the section of the coating surface was determined (a section of the surface with a family of lines of equal amount (intensity) of solar radiation applied to it).…”

“…These factors form the basis for effective modeling of solar systems. Finding the main parameters of solar irradiation is based on the use of the geometric model of the daily cone of solar rays, which was proposed for Insolation calculations [14]. In it, the Sun is taken as a point source, which at each moment of time gives ∞² a congruence of practically parallel rays.…”