When designing a managed electric distribution network (Smart Grid) with renewable energy sources and the elements of Flexible Alternative Current Transmission System (FACTS), it is necessary to take into account the level of distortion of the voltage and current curve when assessing the quality of electricity supplied to consumers. The article is devoted to the search for an approach to describing the dynamics of Smart Grid modes, which enables to study the qualitative influence of FACTS devices on the parameters of the electrical network, including non-sinusoidal voltage and current. The analysis of possible approaches and methods for describing the dynamics of the parameters of Smart Grid modes has been carried out. The approaches based on metric geometry and affine geometry have been considered. It has been established that the classical methods used to analyze static processes are not applicable in the Smart Grid. The use of the principles of projective geometry is proposed as a promising approach. The features of the application of projective geometry are shown on the example of a Smart Grid section. The proposed approach based on projective geometry allows to qualitatively describe the dynamics of Smart Grid modes.

The article is devoted to investigate the effect of the thyristor voltage and power regulators (TVPR) output voltage under longitudinal-transverse regulation on the energy characteristics of a medium voltage (MV) closed-circuit distribution network (real and reactive power, efficiency of power transmission lines, voltage at load nodes). The research was performed using a simulation computer model developed in the Matlab Simulink program for a section of a distribution network with a TVPR. The network modes parameters change dependences have been obtained during TVPR longitudinal, transverse and longitudinal-transverse voltage regulation. It is established that in the entire range of longitudinal-transverse regulation, the efficiency of the power transmission line keeps a high value. The use of TVPR allows for a wide range of regulation of the flows of real and reactive power circulating in the network. The operating modes of the network have been determined, which make it possible to exclude overflows of real and reactive power between substations during longitudinal-transverse regulation. The use of TVPR will ensure an optimal voltage level for consumers, optimal distribution of real and reactive power flows in meshed systems, increase the power of networks, reduce real power losses during transmission.

Smart Grid creation is not possible without devices that provide active and adaptive control of the electric network parameters and configuration. One such device is a Thyristor Voltage Regulator (TVR). The TVR assignment is automatic voltage and power regulation in medium voltage power distribution networks (6-20 kV). The article is devoted to the development and research of the first level TVR control system. An algorithm for two-zone sequential control of thyristors has been developed. TVR thyristors are controlled by a pulse -phase method. Diagrams for generating control pulses are presented. The software implementation of the TVR control system is performed in LabVIEW. A test program has been developed for TVR control system research. The research has shown that TVR control system is completely efficient and performs all specified functions.

Switched-mode power supplies (SMPS) are confidently replacing outdated linear power supplies. They are distinguished by high performance, improved stabilization indicators and compactness. The SMPS are widely used in power supply of control systems for small energy facilities. The article is devoted to the research of forward converter parameters. The task of research is to establish quantitative interrelations between the parameters of the converter elements and the energy loss in them. An analytical model of forward converter has been developed, which allowed revealing the main regularities of the processes occurring in the converter. A simulation model of the power source, made on the basis of forward converter has been developed. Using the dependences obtained on the simulation model, rational parameters of the converter elements have been determined, ensuring the maximum level of electromagnetic compatibility and the minimum level of power losses. The optimum values of the forward converter parameters have been used in the design of a power source prototype. The results of studies of the prototype confirm a high level of electromagnetic compatibility.