Clean Power

Ukrainian (UA)English (United Kingdom)

The National Academy of Sciences of Ukraine

The Institute of Electrodynamics

About Institute



О.V. Bialobrzheskyi
Kremenchuk Mykhailo Ostrohradskyi National University,
st. Pervomaiska, 20, Kremenchuk, 39600, Ukraine,
е-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it


Using the trigonometric form of the Fourier transform for periodic currents and voltages, the components forming instantaneous power are calculated. For harmonic currents and voltages, power components are calculated in which the active, reactive and apparent powers are allocated, as well as the initial phase of the latter, as a harmonic function. Performing an analysis of periodic polyharmonic currents and voltages, instantaneous power expressions are obtained, reduced to a certain normalized form. Using the well-known concept of the distribution of polyharmonic power components, corresponding to the energy conservation law and the Telleggen theorem, the active and reactive components are determined in the existing representation. It is noted that in this case it is impossible to single out the full power. Based on known works, for its integral estimation of polyharmonic power its quadratic norm is used. References 7, figures 2, tables 3.
Key words: power of electric energy, power norm, active power, reactive power.

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2. Gemerov G.G, Tugay D.V. Dependence of additional losses in three-phase power supply systems on reactive power and pulsations of instantaneous active power. Tekhnichna elektrodinamika. 2015. No 4. P. 66–70. (Rus)
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4. Jeltsema Dimitri. Budeanu's concept of reactive and distortion power revisited. Przeglad Elektrotechniczny. 2015. No. 4/201. Pp. 68–73. (En)
5. IEEE Std 1459-2010 IEEE Standard Definitions for the Measurement of Electric Power Quantities Under Sinusoidal, Nonsinusoidal, Balanced, or Unbalanced Conditions, IEEE, 2010, 50 p (En)
6. Bialobrzheskyi O., Rod’kin D., Gladyr A. Power components of electric energy for technical and commercial electricity metering. Naukovyi Visnyk NHU. 2018. № 2. P. 44–53. (En)
7. Rod’kin D.I. Features of the application of the energy method for the identification of alternating-current motors for pseudo-polyharmonic signals. Electromechanical and energy saving systems. 2009. №. 1. P. 7–20. (Rus)

Received 02.03.2018