The article presents the stages of developing and building a mathematical model for a semi-conductor frequency converter with space vector pulse width modulation, which consists of a power circuit made of power semiconductor elements. The mathematical simulation is performed in the MATLAB/Simulink soft-ware environment. The main principles of the model’s components performance are formulated. Using switching diagrams, calculated data for building a functional management system for the power keys of a frequency con-verter are presented. Based on the simulation results, oscillography records of phase and linear load voltages are obtained. Dependences of output voltage quality on the frequency of pulse width modulation are identified. The main advantages of using space vector pulse width modulation are described in designing sinusoids of output voltage in a frequency converter when working with an active inductive load. The authors draw conclusions on the usage of the vector method for building an output voltage of a frequency converter in the industry.
<span lang="EN-US">The article presents a solution to the problem of optimizing the structure of filter-compensating devices (FCD) when installed in high-voltage mine networks with powerful nonlinear electrical receivers. The urgency of the problem of choosing a rational structure of the FCD. The problem of choosing the design and installation location of the FCD is presented. The main technical means of compensation of higher harmonics of currents and voltages in high-voltage networks with powerful nonlinear electrical receivers are considered. Analysis of different types of passive filters (PF) and their frequency properties showed that the choice of specific types of PF refers to the multi-criteria optimization problem. The main methods of optimization of FCD design are considered. The variant of FCD construction based on the solution of multi-criteria optimization problem with the use of fuzzy sets is proposed and justified. To this end, the calculation of PF parameters and frequency characteristics of equivalent systems of the "filter-external network" type for four possible combinations of PF is performed. The optimal is a FCD with two resonant PF tuned to the 11<sup>th</sup> and 13<sup>th</sup> harmonics, and a second-order broadband PF tuned to compensate harmonics starting from the 23<sup>rd</sup> and above. The analysis of simulation results showed effective compensation of higher harmonic currents and voltages.</span>
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