Variable-Frequency Prony Method in the Analysis of Electrical Power Quality
Open Access
- 1 January 2012
- journal article
- research article
- Published by Polish Academy of Sciences Chancellery in Metrology and Measurement Systems
- Vol. 19 (1), 39-48
- https://doi.org/10.2478/v10178-012-0003-1
Abstract
The article presents a new modification of the the least squares Prony method. The so-called variable-frequency Prony method can be a useful tool for estimating parameters of sinusoidal components, which, in the analyzed signal, are characterized by time-dependent frequencies. The authors propose use of the presented method for testing the quality of electric energy. It allows observation of phenomena which, when using traditional methods, are averaged in the analysis window. The proposed modification of least squares Prony method is based on introduction and specific selection of a frequency matrix. This matrix represents frequencies of estimated components and their variability in time.Keywords
This publication has 11 references indexed in Scilit:
- On generalized inverses of singular matrix pencilsInternational Journal of Applied Mathematics and Computer Science, 2011
- Short Time Algorithm of Power Waveforms Fundamental Harmonic Estimation With Use of Prony's MethodsMetrology and Measurement Systems, 2011
- LIDFT method with classic data windows and zero padding in multifrequency signal analysisMeasurement, 2010
- A Reduced Prony's Method in Power-Quality Analysis—Parameters SelectionIEEE Transactions on Power Delivery, 2010
- Overview of total least-squares methodsSignal Processing, 2007
- Detection of Voltage Envelope Using Prony Analysis–Hilbert Transform MethodIEEE Transactions on Power Delivery, 2006
- Prony Analysis Technique for Estimation of the Mean Curve of Lightning ImpulsesIEEE Transactions on Power Delivery, 2006
- High-Resolution Spectrum-Estimation Methods for Signal Analysis in Power SystemsIEEE Transactions on Instrumentation and Measurement, 2006
- An analytic method for measuring accurate fundamental frequency componentsIEEE Transactions on Power Delivery, 2002
- Comparison between the Matrix Pencil Method and the Fourier Transform Technique for High-Resolution Spectral EstimationDigital Signal Processing, 1996