Power measurements based on hybrid Haar transform-Prony method

Abstract

Power and power quality are among the most important concepts in electrical systems. This paper introduces a novel approach for power measurements or calculations in energy systems, employing the discrete Haar transform and Prony method. The technique stands out by offering an enhanced representation of the power spectrum. This improvement is achieved through the successful decomposition of the frequency spectrum. Unlike Fourier series, this method captures frequencies that are not merely integer multiples of the main harmonic, leading to a more comprehensive depiction of the power spectrum. To verify the effectiveness of the proposed method, simulations were performed on synthetic and real data and results with high accuracy were obtained. The technique demonstrates its prowess in accurately characterizing power spectra, showcasing its potential for applications in electrical systems where a more nuanced and precise analysis of frequency components is essential for a comprehensive understanding of the system behavior.