quality, harmonics, nonsinusoidal conditions, harmonic ratio, identification of distortion source, Fast Fourier Transform, Discrete Fourier Transform


The presence of non-linear loads and the increase in the number of systems of distributed generation of electricity lead to a distortion of the voltage and current waveform in distribution systems (DS), то есть к появлению гармоник тока и напряжения. In this case, the power system is obliged to supply electricity only to the fundamental frequency of 50 Hz with constant amplitude. Power supply organizations usually disclaim responsibility for the causes of harmonics by introducing standards or recommendations for limiting the levels of harmonic components in the points of common connection of consumers. These documents do not take into account the composition of DS equipment and, accordingly, the damage from this harmonics for network equipment and consumer equipment. The urgency of the work is due to the need to reliably identify the sources of harmonic distortion in the supply system for the effective functioning of the system of penalties and fines and to more effectively determine the list of measures to improve the electric power quality. The paper reviews the existing methods for distortion sources identification in supply systems. In most cases, the fast Fourier transform (FFT) is used as a method of harmonic analysis to determine the sources of distortion, which in the case of a rapidly changing non-linear load does not reliably determine the sources of distortion and the degree of participation of each DS’s subject in the power distribution of higher harmonics. In order to detail the frequency content of the signal at the measurement interval, the spectral points obtained as a result of the FFT were calculated using the Discrete Fourier Transform (DFT). A new approach to the harmonic sources identification is proposed using a method based on the measurement of harmonic power flux sense using the Discrete Fourier Transform on periods by the example a distribution network model.

Author Biography

Danylo Volodymyrovych Filianin, National Technical University of Ukraine «Igor Sikorsky Kiev Polytechnic Institute»



Power Quality Harmonics Analysis and Real Measurements Data, Ed. by Prof. G. Romero. InTech, 2011.

N. N. Kharlov. Electromagnetic compatibility in the power industry. Tomsk: TPU Publishin, 2007.

A. V. Voloshko and D. V. Filyanin. The impact of power quality on the accuracy of meter reading: areview of study. Transactions of Kremenchuk Mikhailo Ostrohradskyi National University, vol. 4 (87), 2014, pp. 38–43.

J. Manson and R. Targosz. European Power Quality Survey Report. November 2008. Available: energy/files/root/pdf/2009/PQSurvey.pdf (accessed 04 January 2016).

EN 50160:2014. Voltage characteristic of electricity supplied by public electricity network (ЕN 50160 2010, IDT). К: Ministry of economic and trade of Ukraine, 2014.

IEEE Std 1459-2010. Definitions for the measurement of electric power quantities under sinusoidal, nonsinusoidal, balanced, or unbalanced conditions. IEEE Standard 1459, 2010.

V. E. Tonkal V. E., A. V. Novoseltsev and other. Energy balance in electrical circuits. K.: Naukova dumka, 1992.

A. Ferrero, A. Menchetti and R. Sasdelli. Measurement of the Electric Power Quality and Related. European Transactions on Electric Power. V. 6, № 6, 1996, pp. 401–406.

L. S. Czarnecki, T. Świetlicki. Power in nonsinusoidal networks, their analysis, interpretation and measurement. IEEE Trans. Instrum. Measur. V. 39, № 2, 1990, pp. 340–345.

A. E. Emanuel. On the Assessment of Harmonic Pollution. IEEE Transaction on Power Delivery. V. 10, № 3, 1995, pp. 1693–1698.

P. J. Rens and P. H. Swart. On Techniques for the Localization of Multiple Distortion Sources in Three-Phase Networks: Time Domain Verification. ETEP. V. 11, № 5, 2001, pp. 317–322.

P. H. Swart, M. J. Case and J. D. Van Wyk. On Techniques for Localization of Sources Producing Distortion in Electric Power Networks. ETEP. V. 4, № 6, 1994, pp. 485–490.

R. S. Herrera, A. Pérez, P. Salmerón, J. R. Vázquez and S. P. Litrán Distortion Sources Identification in Electric Power Systems. Department of Electrical Engineering E.P.S., Huelva University. Available: (accessed 20 January 2016).

G. T. Heydt. Identification of Harmonic Sources by a State Estimation Technique. IEEE Trans. On Power Delivery. V. 4, № 1, 1989, pp. 569–576.

L. F. Beites, M. Alvarez and A. Díaz. Sensor optimum location algorithm for estimating harmonic sources injection in electrical networks. International Conference on Renewable Energies and Power Quality (ICREPQ’14). Cordoba, Spain, 8–10 April, 2014. Available:'14/315.14-Beites.pdf. (accessed 20 January 2016).

A. S. Stepanov, V. I. Marugin. On the observability of electricity distribution networks. Power engineering, ecology, reliability, safety: Proceedings of the VII All-Russian Scientific and Technical Conference. Tomsk, 2010, pp. 46–48.

F. A. Zykin. Determining of impact consumers in the power quality distortion. Electrichestvo, vol. 11, 1992, pp. 13–19.

K. Srinivasan. On Separating Customer and Supply Side Harmonic Contributions. IEEE Trans. on Power Delivery. V. 11, № 2, 1996, pp. 1003–1012.

A. Dell´Aquila, M. Marinelli, V. G. Monopoli and P. Zanchetta. New Power-Quality Assessment Criteria for Supply under Unbalanced and Nonsinusoidal Conditions. IEEE Trans. on Power Delivery. V. 19, № 3, 2004, pp. 1284–1290.

G. A. Senderovich. Determination of share participation of subjects in responsible in making unbalanced condition. Naukovi pratsi Donetskogo Natsionalnogo Tekhnichnogo Universytetu, vol. 11(186), 2011, pp. 330–335.

Voloshko Anatoly V., Filyanin Daniel V. To the issue distortion source identification on the example of simplified model of electric power system. Bulletin of the Tomsk Polytechnic University. Geo Assets Engineering, V. 326, № 6, 2015, pp. 114–121.

A. V. Voloshko, D. V. Filyanin. Distortion source identification in the point of common coupling on the example of simplified model of electric power system. POWER ENGINEERING: Economics, Technique, Ecology, № 1(39), 2015, pp. 35–43.

A. V. Voloshko, D. V. Filyanin. Distortion source identification and impact of each subjects of power supply system at harmonics power distribution. Transaction of the Kharkiv Petro Vasilenko National Technical University of Agriculture. Technical sciences. "Problems of energy supply and energy saving in the agroindustrial complex of Ukraine". № 165, 2015, pp. 14–15.

A. V. Voloshko, D. V. Filyanin. Detection and localizatin of power quality disturbanses based on Fast Fourier Transform and Discrete Fourier Transform. POWER ENGINEERING: Economics, Technique, Ecology, № 3, 2017, pp. 87–94.

EN 61000-4-30:2009. Electromagnetic compatibility (EMC). Part 4-30: Testing and measurement techniques – Power quality measurement methods (IEC 61000-4-30:2008). BSI, Approved 30 April 2009.