Making Prony analysis more accurate using multiple signals

Trudnowski, Daniel; Johnson, J.M.; Hauer, J.F.

doi:10.1109/59.744537

Cited by 287 publications

(128 citation statements)

References 19 publications

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“…Then the time dependent decay function can be modeled as (11) Moreover, using (4) and (7), we obtain (12) Noting that (13) we have (14) We emphasize that (14) is a generalization to modal analysis of the notion of damping for nonstationary signals. The computation of damping ratio from local information in (14) depends on the fast and accurate estimation of the physically meaningful instantaneous magnitude which is given by (5).…”

Section: Damping Ratio Estimatesmentioning

confidence: 99%

“…However unfortunately, oscillatory processes may exhibit nonlinear behavior and in many cases linear models are not sufficient to capture time-varying features associated with switching and control actions. Several other complementary techniques based on ringdown analysis to system perturbations and MIMO state-space identification techniques have been successfully applied to analyze wide-area oscillatory dynamics [3], [4], [8], [12], [13]. Fourier-based analysis tools have also been used for off line studies of power system dynamics [14], [15].…”

Section: Introductionmentioning

confidence: 99%

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A refined Hilbert-Huang transform with applications to inter-area oscillation monitoring

Laila

Messina

Pal

2009

2009 IEEE Power &Amp; Energy Society General Meeting

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Abstract-This paper focuses on the refinement of standard Hilbert-Huang transform (HHT) technique to accurately characterize time varying, multicomponents interarea oscillations. Several improved masking techniques for empirical mode decomposition (EMD) and a local Hilbert transformer are proposed and a number of issues regarding their use and interpretation are identified. Simulated response data from a complex power system model are used to assess the efficacy of the proposed techniques for capturing the temporal evolution of critical system modes. It is shown that the combination of the proposed methods result in superior frequency and temporal resolution than other approaches for analyzing complicated nonstationary oscillations.

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Section: Damping Ratio Estimatesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A refined Hilbert-Huang transform with applications to inter-area oscillation monitoring

Laila

Messina

Pal

2009

2009 IEEE Power &Amp; Energy Society General Meeting

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“…Mode estimation methods based on measurement data have been extensively studied. A sample of papers includes [15], [16], [17], [18], [19], [20], [21], [22], and [23]. Measurement-based models usually take much less effort to build than those required for a model-based method.…”

Section: Realitymentioning

confidence: 99%

MANGO ? Modal Analysis for Grid Operation: A Method for Damping Improvement through Operating Point Adjustment

Huang¹,

Zhou²,

Tuffner³

et al. 2010

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Printed in the United Executive SummarySmall signal stability problems are one of the major threats to grid stability and reliability in the U.S. power grid. An undamped mode can cause growing oscillations and may result in system breakups and large-scale blackouts. There have been several incidents of system-wide oscillations. Of those incidents, the most notable is the August 10, 1996 western system breakup, a result of undamped system-wide oscillations. Significant efforts have been devoted to monitoring system oscillatory behavior from measurements in the past 20 years. The deployment of phasor measurement units (PMU) provides highprecision, time-synchronized data needed for detecting oscillation modes. Measurement-based modal analysis, also known as ModeMeter, uses real-time phasor measurements to identify system oscillation modes and their damping. Low damping indicates potential system stability issues. Modal analysis has been demonstrated with phasor measurements to have the capability of estimating system modes from oscillation signals, probing data, and ambient data.With more and more phasor measurements available and ModeMeter techniques maturing, there is yet a need for methods to bring modal analysis from monitoring to actions. The methods should be able to associate low damping with grid operating conditions, so operators or automated operation schemes can respond when low damping is observed. The work presented in this report aims to develop such a method and establish a Modal Analysis for Grid Operation (MANGO) procedure to provide recommended actions (such as generation re-dispatch or load reduction), and aid grid operation decision making for mitigating inter-area oscillations. This project directly contributes to the Department of Energy Transmission Reliability Program's goal of "improving reliability of the nation's electricity delivery infrastructure."The fundamental part of the work explores the relationship between low damping and grid operating conditions to develop recommended actions for damping improvement, and therefore reduce the chance of system breakup and power outages. Different from power system stabilizers and other modulation control mechanisms, MANGO improves damping through operating point adjustments. Traditionally, the modulation-based methods do not change the system's operating point, but improve damping through automatic feedback control. Figure S-1 illustrates the difference of these two types of damping improvement methods. MANGO, represented in red, and modulation control, represented in magenta, are complementary towards the same goal.MANGO is a measurement-based procedure, as shown in Figure S-2. As the first stage of development, the MANGO procedure is targeted to have operators in the loop. Practical implementation is envisioned to be achieved by integrating MANGO recommendations into existing operating procedures. The MANGO model can be updated according to the current measurement and mode estimation results. Operators are included into the loop to bring in exp...

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“…Importantly, along the lines described in [12], one can use an extension of the algorithm in [3] to accommodate multiple output systems.…”

Section: B Modal Parameter Estimation Algorithm 1) Casementioning

confidence: 99%

A high-resolution spectral analysis algorithm for power-system disturbance monitoring

O’Shea

2002

IEEE Trans. Power Syst.

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Abstract-In a previous paper, the author presented a Fourier-based algorithm for monitoring the characteristics of the damped oscillating "modes" which are set up after a disturbance in an electric power-distribution system. This earlier paper permitted the analysis of multiple modes but only if the modes were sufficiently well separated to be resolved with conventional Fourier techniques. This current paper extends the previous work to enable the processing of multiple modes which are very closely spaced in frequency. Importantly, the proposed algorithm has good noise performance. A theoretical justification for the new method is presented, and simulations are provided to confirm the theory. The scheme is also tested on a real power-system example.

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Making Prony analysis more accurate using multiple signals

Cited by 287 publications

References 19 publications

A refined Hilbert-Huang transform with applications to inter-area oscillation monitoring

A refined Hilbert-Huang transform with applications to inter-area oscillation monitoring

MANGO ? Modal Analysis for Grid Operation: A Method for Damping Improvement through Operating Point Adjustment

A high-resolution spectral analysis algorithm for power-system disturbance monitoring

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