The Evaluation of Electric Power by Separate Analysis of Fourier Transform Components
Main Article Content
This paper presents a substantiation of an approach for the evaluation of components of apparent power and intended to simplify the computational procedures which usually should be implemented in order to process the preliminary sampled waveform of instantaneous power. The results of carried out studies have shown that both active and reactive power can be calculated by the analysis of calculated components of sine and cosine Fourier transforms. This paper also presents the discussion of restrictions, which should be imposed on the duration of the analyzed signal and on frequencies of the auxiliary trigonometric functions, which are applied in order to calculate components of Fourier transform which are used for the evaluation of active and reactive power. The compliance with these restrictions allows us to eliminate the undesirable bias of active and reactive power estimation caused by the refusal from the decomposition of the analyzed waveform of the instantaneous power by applying the complete system of orthogonal trigonometric functions, as the evaluation of components of the apparent power is attained based on separate analysis of sine and cosine Fourier transforms calculated for the analyzed signal. The results of carried out simulations illustrate the frequency dependencies of sine Fourier transform calculated for the case of compliance with the restrictions, which allow to attain the highest accuracy of estimation and for the case when the duration of analyzed signal does not fit these restrictions.
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Chica Leal, A.J., Trujillo Rodrigez, C.L., & Santamaria, F. (2020). Comparative of power calculation methods for single-phase systems under sinusoidal and non-sinusoidal operation. Energies, 13(17), 4322. https://doi.org/10.3390/en13174322
Avdakovic, S., & Boscovic, A. (2014). Continuous wavelet and Hilbert-Huang transforms applied for analysis of active and reactive power consumption. Metrology and Measurement Systems, 21(3), 413–422. https://doi.org/10.2478/mms-2014-0035
Moghayadniya, A., & Razavi, E. (2019). Reactive power control in micro-grid networks using adaptive control. Electrical Engineering & Electromechancis, (5), 68–73. https://doi.org/10.20998/2074-272X.2019.5.11
Ayachi, B., Boukra, T., & Mezhoud, N. (2021). Multi-objective optimal power flow considering the multi-terminal direct current. Electrical Engineering & Electromechancis, (1), 60–66. https://doi.org/10.20998/2074-272X.2021.1.09
Kovalova, Y., Kovalov, V., & Sherbak, I. (2021). Reactive power of asynchronous electric drivers with semiconductor converters. Lighting Engineering & Power Engineering, 60(1), 9–14. https://doi.org/10.33042/2079-424X.2021.60.1.02
Bergman, A., Bergman, S., Hoffmann, C., Paulus, E., & Elg, A-P. (2013). Traceable measurement of dielectric dissipation factor at very low frequency. In 18th International Symposium on High Voltage Engineering (pp. 1090–1095). Hanyang University. https://www.diva-portal.org/smash/get/diva2:1165817/FULLTEXT01.pdf
Kostiukov, I. (2021). Measurement of dissipation factor of inner layers of insulation in three-core belted cables. Lighting Engineering & Power Engineering, 60(1), 23–30. https://doi.org/10.33042/2079-424X.2021.60.1.04
Bezprozvannych, G., & Roginsly, A. (2018). Dielectric spectroscopy of casing thermosetting composite electrical insulation system of induction traction electric machines. Electrical Engineering & Electromechanics, (1), 17–20. https://doi.org/10.20998/2074-272X.2018.1.02
Toral, S.L., Quero, J.M., & Franquelo, L.G. (2001). Reactive power and energy measurement in the frequency domain using random pulse arithmetic. IEE Proceedings – Science, Measurement and Technology, 148(2), 63–67. https://doi.org/10.1049/ip-smt:20010305
Khlifi, K., Ayari, A., Haddouk, A., & Mechergui, H. (2018). Measurement of active power, electrical energy, and TRMS voltage and current using the dual slope conversion technique. Turkish Journal of Electrical Engineering & Computer Sciences, 26(2), 1081–1092. https://doi.org/10.3906/elk-1704-131
Štremfelj, J., & Agrež, D. (2012). Apparent power estimation by interpolation of the product of the DFT coefficients. In XX IMEKO World Congress (pp. 1–6). IMECO. https://www.imeko.org/publications/wc-2012/IMEKO-WC-2012-TC4-O21.pdf
Almayyali, H.R., & Hussain, Z.M. (2021). Deep learning versus spectral techniques for frequency estimation of single tones: Reduced complexity for software-defined radio and IoT sensor communications. Sensors, 21(8), 2729. https://doi.org/10.3390/s21082729
Borkowski, J., Kania, D., & Mroczka, J. (2018). Comparison of sine-wave frequency estimation methods in respect of speed and accuracy for a few cycles distorted by noise and harmonics. Metrology and Measurement Systems, 25(2), 283–302. https://doi.org/10.24425/119567
Zhang, J.Q., & Ovaska, S.J. (2000). An adaptive window function method for power measurement. IEEE Transactions on Instrumentation and Measurement, 49(6), 1194–1200. https://doi.org/10.1109/19.893255