Integrating S-Transform and Hilbert Transform for Accurate Analysis of Non-Sinusoidal Signals in Power Systems

This paper explores the measurement of reactive power in non-sinusoidal circuits using the S-transform and Hilbert transform. Traditional Fourier transform methods exhibit limitations when dealing with non-sinusoidal signals. The S-transform provides detailed time-frequency information, while the Hilbert transform extracts instantaneous frequency and amplitude, thereby enhancing the accuracy of reactive power measurement. The proposed method involves sampling and normalizing signals, applying the S-transform for time-frequency representation, and utilizing the Hilbert transform to extract instantaneous features. Experimental results demonstrate that this combined approach significantly improves the accuracy of reactive power measurement for non-sinusoidal signals, offering a robust framework for power system analysis.