![]()
Pooja Nambiar
Independent Researcher
India
Abstract
This manuscript presents a comprehensive study on harmonic analysis in electrical power systems using Fast Fourier Transform (FFT) algorithms. Harmonics, arising from nonlinear loads and power electronic devices, contribute to power quality degradation, equipment overheating, and resonance phenomena. The FFT, introduced in the 1960s and widely adopted by 2015, provides an efficient means to decompose time‐domain voltage and current waveforms into frequency‐domain components. This work reviews the theoretical foundations of FFT‐based harmonic detection, examines representative case studies in industrial and utility settings, identifies research gaps relevant to the state-of-the-art as of 2015, describes the methodology for data acquisition and spectral analysis, and presents results validating FFT algorithm performance in real-world conditions. Conclusions emphasize best practices for measurement accuracy, computational efficiency, and practical implementation in protection and monitoring systems.
KeywordS power quality harmonics; FFT algorithms; spectral analysis; nonlinear loads; electrical engineering
References
- Cooley, J. W., & Tukey, J. W. (1965). An algorithm for the machine calculation of complex Fourier series. Mathematics of Computation, 19(90), 297–301.
- G. Holmes and T. A. Lipo, (2003). Pulse Width Modulation for Power Converters: Principles and Practice. IEEE Press.
- IEC 61000-4-7. (2002). Testing and measurement techniques—General guide on harmonics and interharmonics measurements and instrumentation, for power supply systems and equipment connected thereto. International Electrotechnical Commission.
- IEEE Std 519-2014. (2014). IEEE Recommended Practices and Requirements for Harmonic Control in Electric Power Systems. IEEE.
- Ljungberg, S., & Bolin, H. (2000). Fault Location Using Wavelet-Derived Features and Neural Networks. IEEE Transactions on Power Delivery, 15(1), 225–232.
- Arrillaga, J., Smith, B. C., Watson, N. R., & Wood, A. R. (2000). Power System Quality Assessment. Wiley.
- Patra, J. C., & Gore, S. (2012). Effect of Unbalanced Voltages on the Operation of Three-Phase Synchronous Generators. IEEE Transactions on Industry Applications, 98(3), 1501–1508.
- Singh, B., Verma, A., & Jain, S. (2014). Real-Time FFT-based Harmonic Analysis of Power Systems using DSP. International Journal of Electrical Power & Energy Systems, 63, 324–331.
- Carrasco, J. M., Franquelo, L. G., Bialasiewicz, J. T., Galván, E., Portillo, G. de, Prats, M. Á., León, J. I., & Moreno-Alfonso, N. (2006). Power-Electronic Systems for the Grid Integration of Renewable Energy Sources: A Survey. IEEE Transactions on Industrial Electronics, 53(4), 1002–1016.
- Chen, Z., & Weiss, J. D. (2007). Adaptive Filtering of Power System Harmonics with Notch Filter Banks. IEEE Transactions on Power Delivery, 22(2), 1165–1174.