Determination of the reactive power of the ac network of the traction substations

The main ways of developing the theory of reactive power and power distortion of power equipment of mining enterprises, mine (mining) contact electric locomotives, which receive energy from a converter substation through a direct current voltage contact network, are given. It is noted that errors and contradictions in the definition of inactive powers are caused by the formal transfer of some provisions of the symbolic method to electrical circuits with non-sinusoidal voltages and currents. It is shown that to study the operating modes of non-sinusoidal AC networks, it is necessary to represent voltages and currents on the complex plane in the form of generalized vectors. The materials of the works of modern researchers allow us to conclude that reactive power is determined by the sum of reactive powers formed by the interaction of all harmonics of voltage and current with the same numbers. Using examples of wave and vector diagrams, the conditions for the occurrence of inactive power components in an alternating current network, which are known as reactive power and distortion power, are investigated. It is shown that the components of active, reactive power and distortion power are mutually orthogonal and form a power balance, which can be violated, mainly due to methodological errors in calculating these components under conditions of non-stationary mode parameters. It has been established that the distortion power characterizes not the degree of distortion of the load current curve shapes relative to voltage, but the degree of deformation of the legs of the known right-angled power triangle relative to their average values. The results obtained will allow not only to correctly determine the proportion and nature of the components of inactive capacities, which is valuable for solving the problems of optimizing modes in AC networks, but also to create in the future effective technical means of compensating the identified inactive capacities.

Keywords: reactive power, harmonic orthogonality, power balance, instantaneous power, shape correction.
For citation:

Shchurov N. I., Myatezh S. V., Malozyomov B. V., Shtang A. A. Determination of the reactive power of the ac network of the traction substations. MIAB. Mining Inf. Anal. Bull. 2022;(12-2):284—300. [In Russ]. DOI: 10.25018/0236_1493_2022_122_0_284.

Issue number: 12
Year: 2022
Page number: 284-300
ISBN: 0236-1493
UDK: 621.332
DOI: 10.25018/0236_1493_2022_122_0_284
Article receipt date: 24.01.2022
Date of review receipt: 27.09.2022
Date of the editorial board′s decision on the article′s publishing: 10.11.2022
About authors:

Shhurov N. I.1, Professor, Dr. Sci. (Eng.), Head of the department, e-mail:;
Myatezh S. V.1, Associate Professor, Cand. Sci. (Eng.), e-mail:;
Malozyomov B. V.1, Associate Professor, Cand. Sci. (Eng.), e-mail:;
Shtang A. A.1, Associate Professor, Cand. Sci. (Eng.), e-mail:, ORCID ID: 0000-0001-9772-1784;
1 Novosibirsk State Technical University.


For contacts:

Malozyomov B. V., e-mail:


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