Application of Time-Synchronized Measurements in Power System Transmission Networks by Mladen Kezunovic Sakis Meliopoulos Vaithianathan Venkatasubramanian & Vijay Vittal

Author:Mladen Kezunovic, Sakis Meliopoulos, Vaithianathan Venkatasubramanian & Vijay Vittal
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(3.28)

where H denotes complex conjugate transpose.

If the inputs are represented by white noise, the power spectrum S XX (ω) will be a constant diagonal matrix, denoted by F. The expression of S YY (ω) for white noise inputs can be shown to be [19]

(3.29)

where

Power Spectrum Decomposition and SVD

The peaks in S YY (ω) correspond to lightly damped modes of the system [17]. In the following sections, the inverse FFT of decomposed spectrum S YY (ω) is shown as having an exponential form, and can be further processed by Prony analysis. This is different from post-disturbance type methods that apply Prony analysis to the PMU measurements directly. First, the theoretical derivation is originated from the following two observations when S YY (ω) is evaluated near the frequency of a lightly damped mode λ r =− α r  + jω r.

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