Analysis and calculation of inactive power in the power network of electric consumers of mining transport

Improving the quality of electric power of mining electric locomotives, which are powered through rectifiers of traction substations, is an important applied problem. The article develops a refined mathematical model for assessing the losses of inactive energy in the mining industry. An analysis of the materials of the works of the founders of the modern theory of inactive power and the above numerical verification calculations confirmed the validity of the Fryze and Budeanu theory and made it possible to establish qualitative and quantitative differences between reactive power and distortion power. It is noted that with the development of semiconductor converters of electrical energy, alternating current, used in power plants of mining equipment, primarily rectifiers and inverters, clarifications are required in the definitions of the components of inactive powers. It is shown that the magnitude of the distortion power can not only be indirectly determined through the balance of active, reactive and apparent power, but also calculated directly using calculation expressions that characterize the disproportions between the amplitudes and phase shifts of the corresponding voltage and current harmonics in case they deviate from the sinusoidal shape.. Numerical examples show the reasons why distortion power may be absent when the current waveform is clearly distorted relative to the voltage waveform and occur in the absence of distortion, when the current waveform is formally similar to the voltage waveform.

Keywords: non-sinusoidal current, reactive power, harmonic orthogonality, power balance, instantaneous power, shape correction.
For citation:

Shchurov N. I., Myatezh S. V., Malozyomov B. V. Analysis and calculation of inactive power in the power network of electric consumers of mining transport. MIAB. Mining Inf. Anal. Bull. 2022;(12-2):270—283. [In Russ]. DOI: 10.25018/0236_1493_2022_122_0_270.

Acknowledgements:
Issue number: 12
Year: 2022
Page number: 270-283
ISBN: 0236-1493
UDK: 621.332
DOI: 10.25018/0236_1493_2022_122_0_270
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: shhurov@corp.nstu.ru;
Myatezh S. V.1, Associate Professor, Cand. Sci. (Eng.), e-mail: serg_y_7578@mail.ru;
Malozyomov B. V.1, Associate Professor, Cand. Sci. (Eng.), e-mail: mbv5@mail.ru;
1 Novosibirsk State Technical University.

 

For contacts:

Malozyomov B. V., e-mail: mbv5@mail.ru.

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