DEVELOPMENT OF AN ALGORITHM FOR CREATING A THREE-DIMENSIONAL GRAPH OF THE TOTAL HARMONIC OF VOLTAGE COMPONENTS RATIO

Nadezhda M. Drey, Ayrat G. Ziganshin, Georgi M. Mikheev

DOI: 10.47026/1810-1909-2021-1-56-67

Key words

power supply system, reactive power compensation, capacitor battery, three-dimensional graph, higher harmonics, total harmonic factor of voltage components, algorithm, matrix.

Annotation

In the power supply system of industrial enterprises with low installed capacity, a battery of cosine capacitors is used as reactive power compensation devices in most cases. However, in certain modes of operation in such a network due to the presence of electrical receivers, which generate the highest harmonics, there may be resonance phenomena. Therefore, in such a network you should know both the presence of harmonic components and their percentage.

It is known that according to GOST 32144-2013 it is necessary to take into account not only the individual harmonic components of the voltage of about 40 harmonics, but also the total ratio of these components. For this reason, the calculation of this parameter in the power supply system of consumers is an urgent task.

In this paper the principle of structure of the three-dimensional graph of the total factor of harmonic components of voltage is revealed. The arguments for the dependence of this factor on the most important parameters of the electrical network, such as system short-circuit power, capacitor bank, load consumption are given.

The authors have developed an algorithm for creating a three-dimensional graph of the total harmonic voltage components coefficient with the disclosure of the principles of its construction. As an example, the paper presents graphical dependencies: k_U = f(S_КZ , Q_BK ); k_U = f(S_КZ , P_NG ); k_U = f(Q_BK , P_NG).

References

1. Atamanov M.N., Drei N.M., Ziganshin A.G., Mikheev G.M. Raschet parametrov i analiz raboty passivnogo fil’tra garmonik [Calculation of Parameters and Analysis of the Passive Harmonic Filter]. Vestnik Chuvashskogo universiteta, 2020, no. 1, pp. 17–25.
2. Byrybin B.Yu. Spravochnik po proektirovaniyu elektrosnabzheniya [Electricity Design Handbook]. Moscow, Energoatomizdat Publ., 1990, 576 p.
3. Zhezhelenko, I.V. Vysshie garmoniki v sistemakh elektrosnabzheniya prompredpriyatii. 4-e izd., pererab. i dop. [Higher harmonics in power supply systems of industrial enterprises. 4^th]. Moscow, Energoatomizdat Publ., 2000, 331 p.
4. Polishchuk G.M., ed., Ivanov V.P., Batrakov A.S. Trekhmernaya komp’yuternaya grafika [3D computer graphics]. Moscow, Radio i svyaz’ Publ., 1995, 225 p.
5. Korn G., Korn T. Spravochnik po matematike (dlya nauchnykh rabotnikov i inzhenerov) [Mathematics Handbook (for scientists and engineers)]. Moscow, 1973, 832 p.
6. Mikheev G.M., Atamanov M.N., Afanas’eva O.V., Drei N.M. Raschet toka kondensatornykh batarei s uchetom istochnikov vysshikh garmonik [Calculation of Current Rating in Capacitor Banks in Consideration of Sources of Higher Harmonics]. Vestnik Chuvashskogo universiteta, 2017, no. 1, pp. 145–155.
7. Mikheev G.M., Atamanov M.N., Drei N.M. Algoritm rascheta toka vysshikh garmonik v sisteme elektrosnabzheniya promyshlennykh predpriyatii [Algorithm for calculating the current of higher harmonics in the electricity supply system of industrial enterprises]. Promyshlennaya energetika, 2018, no. 3, pp. 40–45.
8. Mikheev G.M., Atamanov M.N., Drei N.M. Elektromagnitnaya sovmestimost’ tekhnicheskikh sredstv predpriyatii po garmonicheskomu sostavu napryazheniya [Electromagnetic Compatibility of Technical Equipment of Enterprises by Harmonic Voltage Composition]. Elektricheskie stantsii, 2019, no. 8, pp. 41–45.
9. Mikheev G.M., Atamanov M.N., Afanas’eva O.V., Drei N.M. O kompensatsii reaktivnoi moshchnosti v sistemakh elektrosnabzheniya s kosinusnymi kondensatorami [On reactive power com-pensation in power supply systems with cosine capacitors]. Elektrotekhnika, 2019, no. 4, pp. 32–41.
10. Mostovskoi A.P. Chislennye metody i sistema Mathematica [Mathematica Numerical Methods and System]. Murmansk, 2009, 249 p.
11. Mikheev G.M., Atamanov M.N., Drei N.M. Programma dlya EVM «Raschet toka kondensatornykh batarei s uchetom vysshikh garmonik». Svidetel’stvo o gosregistratsii № 2017614711, 2017 [The program for the computer “Calculation of the current of capacitor batteries taking into account the higher harmonics”. Certificate of State Registration No. 2017614711, 2017].
12. Petrov A.V.,ed., Klimov V.E. Razrabotka SAPR: v 10 kn. Kn. 7. Graficheskie sistemy SAPR [Developed CAD. 10 books. Book 7: CAD Graphics Systems ]. Moscow, Vysshaya shkola Publ., 1990, 142 p.

Information about the authors

Nadezhda M. Drey – Post-Graduate Student of Electric Power Industry Department, Chuvash State University, Russia, Cheboksary (drey_nadezhda@mail.ru).

Ayrat G. Ziganshin – Post-Graduate Student of Electric Power Industry Department, Chuvash State University, Russia, Cheboksary (ZiganshinAG@gridcom-rt.ru).

Georgi M. Mikheev – Doctor of Technical Sciences, Professor of Electric Power Industry Department, Chuvash State University, Russia, Cheboksary (mikheevg@rambler.ru).

For citations

Drey N.M., Ziganshin A.G., Mikheev G.M. DEVELOPMENT OF AN ALGORITHM FOR CREATING A THREE-DIMENSIONAL GRAPH OF THE TOTAL HARMONIC OF VOLTAGE COMPONENTS RATIO. Vestnik Chuvashskogo universiteta, 2021, no. 1, pp. 56–67. DOI: 10.47026/1810-1909-2021-1-56-67 (in Russian).

Download the full article