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Statistical Matrix Representation Of Time-Varying Electrical Signals. Reconstruction And Prediction Applications

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4 Author(s)
V. Ignatova ; Laboratory of Elecrtrical Engineering, Grenoble, France, e-mail: vanya.ignavota@leg.ensieg.inpg.fr. ; Z. Styczynski ; P. Granjon ; S. Bacha

Power system currents and voltages magnitudes are time variant due to continual changes in system configuration and load conditions. This paper deals with the statistical description of measured electrical signals. A matrix representation is chosen in order to preserve the information about the temporal evolution of the recorded signal. Two matrix forms are investigated: transitions probabilities (Markov) matrix and transitions number matrix. Their performance is further analyzed in the paper by investigating two of their applications -reconstruction and prediction. In deed, the availability of the information about the time evolution of the recorded data can be used to restore the original signal from its corresponding matrix form. Another possible application is the forecasting of the electrical signals behavior in the future. Both applications are illustrated on measurement data acquired from a real power network

Published in:

Probabilistic Methods Applied to Power Systems, 2006. PMAPS 2006. International Conference on

Date of Conference:

11-15 June 2006