The paper presents the results of creating a software package for optimizing the calculation of potentials of alternative energy sources in the regions of Ukraine based on BIM technologies (AutoCAD, ArchiCAD, Revit), which are combined using the IFC format. The software package uses mathematical and graph-analytical models of climate and energy zoning in the regions of Ukraine, and with the help of MS Excel visualizes the research process and automates, accelerates optimal decision in design, reconstruction and construction. The process of forming a database for traditional energy sources (electricity, oil products, natural gas, coal, firewood) and a database of energy potentials of alternative energy sources (solar energy, wind energy, geothermal energy, hydropower of small rivers, potentials of livestock and crop biomass potential of excess pressure of natural gas, potentials of heat of soil, ground and sewage, potentials of energy of peat and forest waste) for all regions of Ukraine. The structure of the software package and a block diagram has been developed, all indicators are reduced to a single unit of measurement (MW*h / year per 1000 people). To analyze and make optimal decisions, informative-illustrative bar and sector pie charts are built in MS Excel on five main areas of energy consumption, taking into account alternative energy sources for each region of Ukraine. The general analysis of energy consumption and optimization calculations are carried out with the help of informative-illustrative diagram SANKEY, which is created with the help of "SankeyDiagramGenerator", and visualizes the whole process of graph-analytical modeling of energy consumption in Ukraine.

The initial equations for solving the axisymmetric problem are given and consideredboundary conditions on the end surfaces and average section of the design element. As a result, we get a system of partial differential equations that can be solved by the numerical-analytical (modified) method of straight lines. The transformation of the reduced equations of equilibrium in parts, as well as the reduced models of the boundary conditions of the end surfaces and the average section, are shown. As a result, a boundary value problem for the system of reduced differential equations in ordinary derivatives written in the Cauchy form with boundary conditions of the general form is obtained. The thermal conductivity of the cylindrical wall was calculated, the results were compared with analytical calculations and results of other authors, which confirms the reliability of the developed methodology. A computer simulation of the stress-strain state of a cylindrical structural element due to the complex action of temperature, force and kinematic effects was carried out. Important conclusions have been made for the use of the modified method of straight lines, which is free from the complications that arise when using the classical method of straight lines.

This article presents the main ideas and possibilities of the modified straight line method for modeling temperature effects in massive bodies. The calculation model of a rectangular beam with a defined thermal state is adopted. The procedure for reducing the dimensionality of the original equations using the modified method of straight lines and the Bubnov-Galyorkin-Petrov method for boundary conditions is applied. The reduced equation of thermal conductivity and the reduced equation of heat balance are given. Conclusions are made regarding the addition of reduced second-order equations with components from the boundary conditions on the lateral surfaces, and finally reduced second-order equations in spatial variables are given. We are considering a beam of rectangular cross-section, the three dimensions of which are of the same order. The thermal state of such an object is three-dimensional and is therefore described systematically using three-dimensional heat conduction equations. When applying the modified method of straight lines to reduce the dimensionality of the original equations, it is convenient to use them in the form of a system of partial differential equations of the first order in spatial coordinates. According to the modified method of straight lines, two systems of straight lines parallel to the coordinate axes Oy and Oz are applied to the beam (a decrease in dimensionality in terms of spatial variables y and z is assumed). The choice of such straight lines is due to the fact that the reduced equations will depend on the variables x and t, that is, they will resemble the one-dimensional equations of the one-dimensional non-stationary problem of thermal conductivity, for which efficient and convenient numerical methods have been developed in the literature of mathematical physics at the moment, to which it is easy to adapt the reduced equation.

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