Scientific Journal of KubSAU

The article is devoted to solving one of the major problems in electric power industry, which is to simplify and improve the accuracy of simulation and calculation modes of complex electrical systems with using the frequency characteristics of the elements of the power system in generalized vector space. Article has an exploratory character, which is expressed that mathematical models of static elements of an electrical network are considered in the form of transfer functions of dependence of conduction on the frequency. A number of the provisions of article has scientific originality which is in the approach to the choice of the coordinate system for modeling static elements. It is offered the mathematical models air and cable transmission lines, generalized load, single reactors generalized vector space for analysis of steady and transient modes. As an example was calculated family of real and imaginary parts of the frequency characteristics of the AC-70 line with different values of the length, lines with different section (AC-70, AC- 95, AC-120), generalized load with different ratios of active and reactive power, various types of single reactors. Offered mathematical models allow exploring different symmetric modes of electric networks using more efficient mathematical apparatus

This article presents theoretical problems of constructing distance detectors as a relay of full impedance based on converters with a rotating magnetic field. A variant of the practical implementation of device and test results is proposed