The article presents a method for calculating the magnetic system using the finite difference method for the axisymmetric system. The finite difference method for constructing a model of the generator's magnetic field allows integrating differential equations into partial derivatives by reducing the equations in finite differences. A special feature of the presented calculation method is the automation of determining the boundaries of the media interface, by taking into account the magnetic resistance of adjacent nodes relative to the calculated node. The main characteristic of a magnetic field is magnetic induction, which is a vector quantity. Magnetic induction is calculated based on the distribution pattern of the magnetic potential. Based on the Poisson and Laplace equations presented in the article, a computer program was developed for automating the calculation of the magnetic induction vector. The results of the program for calculating the magnetic field pattern on the example of a synchronous generator with a two-circuit magnetic system used as a part of a wind generator are presented. Graphical dependences of the change in the value of magnetic induction inside the stator coil of a synchronous generator are constructed for a rotor with an external magnetic circuit, for a rotor with an internal magnetic circuit, and for a rotor with two magnetic circuits simultaneously. In the calculation of the magnetic system, as presented in article, by the method of the example synchronous generator with dual magnetic system, the maximum value of magnetic induction, penetrating the winding of the synchronous generator along the axis r, when the internal circuit is 0.21 T, using the external loop, the value of the magnetic induction vector is 0.283 T. When using a two-circuit system, the value of the magnetic induction vector is 0.483 T.

The article describes a method for increasing the efficiency of using solar panels when using a two-axis system for tracking the sun. A mathematical model of solar panel operation has been developed for the following applications: stationary installation of solar panels and the use of a two-axis solar tracker. The solar tracker has the ability to rotate the solar panel by the azimuth angle from 0 to 170 degrees, by the Zenith angle from 0 to 90 degrees. The paper presents a method for calculating power generation by solar panels using a solar tracker and a variant of stationary installation of solar panels. Plots of the PV panel as a function of time at stationary position of the solar panels and using a solar tracker. As a result of mathematical modeling, when using a solar tracker, compared with a stationary installation of a solar panel, electricity generation increases by 89.9% on the example of June 22, and by the example of December 22, the increase in electricity generation is 19.6 %. Using a solar tracker during the year increases the efficiency of electricity generation by solar panels by an average of 45-55%. Data on azimuth angles of sunrise and sunset, as well as the Zenith angle depending on the time of day for the 22nd day of each month are given in the table below. The results obtained are presented for coordinates: 45 degrees 3 minutes North latitude 41 degrees 59 minutes East longitude, which corresponds to the locality of the city of Stavropol in the Russian Federation.

The article presents a method for determining the parameters of elements of a combined autonomous power supply system that uses wind and solar energy. A gasoline generator is used as a backup power source. Energy from the wind generator and solar panels is accumulated in the storage system, or distributed through the inverter to the consumer. During periods of calm, alternative energy sources are supplied from the gasoline generator. The following parameters of elements of the combined system of autonomous power supply are determined, namely, a wind generator, solar panels, a gasoline generator, a storage system, and an inverter. The analysis of wind energy potential and solar energy potential on the example of the surroundings of the city of Stavropol is presented. As an object of power supply, an individual subsidiary farm was selected. The optimal parameters of the wind generator, the area of the solar panels and the capacity of the storage system for the selected power supply object are determined. The wind turbine is made as a wind propeller type with the profile from the installation of WE-3000, solar panels adopted as panel brand BSP 32-100F. Graphs are presented of average power generation by the wind turbine, solar panels, and the gasoline generator. The average annual generation of electricity from wind energy, which was 44.7 %, from solar energy -42.9 %, from a gasoline generator -12.4 %, is presented. The total power generation by the combined autonomous power supply system is 1950.7 kWh, solar panels 836.6 kWh, wind generator 872.2, gasoline generator 241.9 kWh.

The article considers a low-energy wind and solar stand-alone power system for agricultural consumers. The wind generator used is a 500 W dual magnetic synchronous generator, and its structural diagram, magnetic flux density distribution chart, mathematical modelling and the field test results are presented. The article also describes a linear drive solar panel tracker. The tracker structure and design and the field test results for a solar collector with the solar tracker are presented. A synchronous generator with a two-circuit magnetic system contains an external and internal circuit on which neodymium magnets, a magnetic core, additional poles are fixed. Between external and internal circuits the generator stator windings are arranged. The body of the synchronous generator, on which the external and internal magnetic circuits are fixed, is made of plastic. The excess energy produced by a synchronous generator with a double-circuit magnetic system is accumulated in the batteries, in case of lack of wind load, simultaneous operation of a synchronous generator with a double-circuit magnetic system and a battery through a power controlled transistor to the inverter is possible. Tracking system of the sun contains the sensor of position of the sun, two DC motors with gearboxes and retractable stocks, allowing to position the solar panels in two planes, horizontally and vertically depending on the position of the sun, allowing to increase the power generation of solar panels compared with the stationary arrangement of 40 %.