PDF Печать E-mail

DOI: https://doi.org/10.15407/techned2019.04.012


Journal Tekhnichna elektrodynamika
Publisher Institute of Electrodynamics National Academy of Science of Ukraine
ISSN 1607-7970 (print), 2218-1903 (online)
Issue No 4, 2019 (July/August)
Pages 12 – 22


M.Yu. Artemenko1*, Y.V. Kutafin1, V.M. Mykhalskyi2**, S.Y. Polishchuk2***, V.V. Chopyk2****, I.A. Shapoval2*****
1- National Technical University of Ukraine Igor Sikorsky Kyiv Polytechnic Institute,
pr. Peremohy, 37, Kyiv, 03056, Ukraine
2- Institute of Electrodynamics National Academy of Sciences of Ukraine,
pr. Peremohy, 56, Kyiv, 03057, Ukraine
e-mail: Этот e-mail адрес защищен от спам-ботов, для его просмотра у Вас должен быть включен Javascript
* ORCID ID : http://orcid.org/0000-0001-9341-9238
** ORCID ID : http://orcid.org/0000-0002-8251-3111
*** ORCID ID : http://orcid.org/0000-0002-6978-2747
**** ORCID ID : http://orcid.org/0000-0002-5046-5223
***** ORCID ID : http://orcid.org/0000-0002-9107-5061


In the paper, the theory of instantaneous power of polyphase power supply systems has been further developed by substantiating the new relations for instantaneous active current and instantaneous apparent power taking into account the dependence on the transmission line resistance and corresponding to analogous integral values of the periodic mode of the three-phase four-wire system. As a result of the application of the matrix-vector algebra formulas, new formulas for the decomposition of instantaneous loss powers in the transmission line have been obtained, in which the minimum possible losses due to instantaneous active current were identified. The new calculated relation for the improvement factor for the power loss in the transmission line is obtained by using a shunt active filter with a control strategy providing a minimum possible losses. As a consequence of the general theory of instantaneous power of polyphase systems, its basic concepts for a three-phase three-wire power supply system in the coordinate system of the two-wattmeter method were defined. This does not require matrix transformations of the coordinates inherent in the classical theory of instantaneous power, which increases the accuracy and speed of the control systems of semiconductor converters in the active filters and renewable energy sources. The results of computer modeling confirmed the adequacy of all modified concepts of the instantaneous power theory for polyphase power systems. References 17, figures 5.

Key words: instantaneous power theory, polyphase power system, parallel active filter control strategy.

Received: 29.03.2019
Accepted: 13.05.2019
Published: 05.06.2019


1. Akagi H., Kanazawa Y., Nabae A. Generalized theory of the instantaneous reactive power in three-phase circuits. Proceedings of IEEJ International Power Electronics Conference (IPEC-Tokyo). 1983. Pp. 1375–1386.
2. Akagi H., Watanable E.H., Aredes M. Instantaneous power theory and applications to power conditioning. Piscataway: IEEE Press, 2017. 472 p. https://doi.org/10.1002/9781119307181
3. Nabae A., Cao L., Tanaka T. A universal theory of instantaneous active-reactive power current and power including zero-sequence components. Proceedings of 7th International Conference on Harmonics and Quality of Power. Oct. 1996. Nevada, USA. Pp. 90–95.
4. Kim H., Akagi H. The instantaneous power theory on the rotating p-q-r reference frames. IEEE International Conference on Power Electronics and Drive Systems (PEDS’99). Hong Kong. July 1999. Pp. 422–427. DOI: https://doi.org/10.1109/PEDS.1999.794600
5. Peng F.Z., Lai J.S. Generalized instantaneous reactive power theory of three-phase power systems. IEEE Trans. Instrum. Meas. 1996. Vol. 45. No 1. Pp. 293–297. DOI: https://doi.org/10.1109/19.481350
6. Garcesa A., Molinas M., Rodriguez P. A generalized compensation theory for active filters based on mathematical optimization in ABC frame. Electric Power Systems Research. 2012. Vol. 90. Pp. 1–10. DOI: https://doi.org/10.1016/j.epsr.2012.03.011
7. Mayordomo J. G., Usaola J. Apparent power and power factor definitions for polyphase non-linear loads when supply conductors present different resistances. European Transactions on Electrical Power. Nov/Dec 1993. Vol. 3. No 6. Pp. 415–420. DOI: https://doi.org/10.1002/etep.4450030604
8. Salmeron P., Herrera R.S. Instantaneous Reactive Power Theory – A General Approach to Poly-Phase Systems. Electric Power Systems Research. 2009. Vol. 79(2009). Pp. 1263–1270. DOI: https://doi.org/10.1016/j.epsr.2009.03.07
9. Herrera R.S., Salmeron P., Vazquez J.R., Litran S.P., Perez A. Generalized instantaneous reactive power theory in poly-phase power systems. Proceedings of 13th European Conference on Power Electronics and Application, (EPE’2009). Barselona, Spain. Sept. 2009. Pp. 1–10.
10. Artemenko M.Yu., Mykhalskyi V.M., Polishchuk S.Y., Chopyk V.V., Shapoval I.A. Modified Instant-aneous Power Theory for Three-Phase Four-Wire Power Systems. Proceedings of IEEE 39th International Scientific Conference Electronics and Nanotechnology (ELNANO 2019). Kyiv, Ukraine. 2019. Pp. 600–605.
11. Korn G., Korn Т. Mathematical handbook for scientists and engineers. Moskva: Nauka, 1978. 832 p.
12. IEEE Standard Definitions for the Measurement of Electric Power Quantities under Sinusoidal Non-sinusoidal, Balanced or Unbalanced Conditions. IEEE Standard 1459-2010, Sept. 2010.
13. Artemenko M.Yu., Batrak L.M., Polishchuk S.Y., Mykhalskyi V.M., Shapoval I.A. Minimization of Cable Losses in Three-Phase Four-Wire Systems by Means of Instantaneous Compensation with Shunt Active Filters. Proceedings of IEEE XXXIII International Scientific Conference Electronics and Nanotechnology (ELNANO 2013). 2013. Kyiv, Ukraine. Рp. 359–362. DOI: https://doi.org/10.1109/ELNANO.2013.6552031
14. Artemenko M.Yu., Batrak L.M., Polishchuk S.Y., Mykhalskyi V.M., Shapoval I.A. The Effect of Load Power Factor on the Efficiency of Three-Phase Four-Wire Power System with Shunt Active Filter. Proceedings of IEEE 36th International Conference on Electronics and Nanotechnology (ELNANO 2016). 2016. Kyiv, Ukraine. Pp. 277–282. DOI: https://doi.org/10.1109/ELNANO.2016.7493067
15. Artemenko M.Yu., Batrak L.M., Polishchuk S.Y. Active current and apparent power of three-phase power systems. Tekhnichna Elektrodynamika. 2018. No 6. Pp. 69–72. DOI: https://doi.org/10.15407/techned2018.06.069
16. Artemenko M.Yu., Mykhalskyi V.M., Polishchuk S.Y., Chopyk V.V., Shapoval I.A. The Instantaneous Power Theory of Multiphase Power Supply Systems and Its Application to Energy-Saving Shunt Active Filtering. IEEE 2nd Ukraine Conference on Electrical and Computer Engineering (UKRCON). 2-6 Juni, 2019. Lviv, Ukraine.