DETERMINATION OF PARAMETERS OF ENERGY SOURCES BY SPECIFIED PARAMETERS OF SEVERAL PHYSICAL FIELD POINTS

Abstract

Many engineering tasks associated with architectural design also require consideration of the energy components of the project. Of particular interest to practice, among other tasks, is a number of tasks related to the modeling of physical fields from various types of energy sources. An important place is occupied by a number of inverse problems, such as determining the positions and powers of energy sources at given potentials at given individual points of the physical field.

A solution to this problem arises, for example, in the design of artificial lighting in interiors.

In this study, point sources of energy are considered as energy sources creating a physical field [1].

With increasing distance from the point of the physical field to the energy source, the energy potential at this point decreases. At an infinitely large distance, this potential is equal to zero, and at infinitely small - it takes a maximum value. In [2], it was assumed that the parameter t of the influence of an energy source on the potential of a point of a physical field can vary from zero to unity. In this case, the main requirement was the monotonic increase in the parameter t with a monotonic decrease in the distance l.

In this paper, the hyperbolic dependence between the rows of points t and l is simplified by limiting the maximum distance of action of a point source to l_max [2]. However, the disadvantage of this dependence is that the geometric model becomes limited by the distance l_max.

When determining the parameter t, the distance of the physical field point from the energy source depending on the type of energy and physical characteristics of the medium can be taken into account as a function of distance, the form of which depends on the parameters of the type of energy and the parameters of the medium.

The dependence of the parameter t on the distance l can be known in advance for a specific type of energy and a specific medium, or it can be determined from data obtained by experiment.

With an increase in the number of point energy sources and given field points, the problem becomes multi-parameter and therefore it is necessary to carry out a parametric analysis of the condition to ensure that the number of equations is equal to the number of unknowns in the system of equations.

Keywords: geometric modeling, physical field, energy, given point, distance, influence, energy potential, point source of energy.