Cramér-Rao Lower Bound for Forced Oscillations under Multi-channel Power Systems Measurements

Xu, Zhisheng; Pierre, John W.; Elliott, Ryan Thomas; Schoenwald, D.A.; Wilches-Bernal, Felipe; Pierre, Brian J.

doi:10.1109/pmaps53380.2022.9810601

Cited by 3 publications

(2 citation statements)

References 21 publications

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“…where i, j ∈ {1, 2, 3}, and E stands for expectation value [26][27][28][29][30][31] .The signal y[n] has been defined in (4);…”

Section: Solving Fisher Information Matrixmentioning

confidence: 99%

Cramér-Rao Lower Bound for Forced Oscillations under Independent Multi-channel PMU measurements in Power Systems

Pierre

2022

2022 North American Power Symposium (NAPS)

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Forced oscillations threaten the reliability of wide-area power systems, and different approaches to estimate forced oscillation have been explored over the past several years. Though these efforts provide powerful tools to estimate a forced oscillation's amplitude, frequency, and phase, a benchmark for estimation accuracy has not been available. This paper provides initial results in such a benchmark called the Cramér-Rao Lower Bound which is a lower bound on the variance in those estimates. A direct approach to derive Cramér-Rao Lower Bound of forced oscillation in power systems is given. In the end, the MinniWECC model is applied to assess the impact of different factors on the bound.

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“…where i, j ∈ {1, 2, 3}, and E stands for expectation value [26][27][28][29][30][31] .The signal y[n] has been defined in (4);…”

Section: Solving Fisher Information Matrixmentioning

confidence: 99%

Cramér-Rao Lower Bound for Forced Oscillations under Independent Multi-channel PMU measurements in Power Systems

Pierre

2022

2022 North American Power Symposium (NAPS)

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“…Additionally, analysis of the CRBs may yield insight into the underlying processes being estimated. Such a study was completed for mode meters under purely ambient conditions in [4], while the authors of [5] and [6] considered the case where unknown FOs were present in a known power system.…”

Section: Introductionmentioning

confidence: 99%

On the Cramer–Rao Bound of Power System Electromechanical Mode Meters

Dosiek

2020

2020 IEEE Power &Amp; Energy Society General Meeting (PESGM)

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In this paper, the Cramér-Rao Bounds (CRB) for the simultaneous estimation of power system electromechanical modes and forced oscillations (FO) are derived. Two cases are considered; in the first case only the steady-state response to the FO is present in the measured system output used by estimation algorithms. In the second, the startup transient of the FO is present in addition to the steady-state response. The CRBs are analyzed numerically to explore sensitivities to FO frequency, signal-to-noise ratio (SNR) and observation window length. It is demonstrated that 1) the CRB of FO parameters is not affected by the presence of the transient response, 2) the CRB of the system modes is not affected by the presence of an FO in steadystate and 3) the CRB of the system modes can be drastically reduced by the presence of a FO startup transient.

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Cramér-Rao Bounds for the Simultaneous Estimation of Power System Electromechanical Modes and Forced Oscillations

Dosiek

2024

2024 IEEE Power &Amp; Energy Society General Meeting (PESGM)

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Cramér-Rao Lower Bound for Forced Oscillations under Multi-channel Power Systems Measurements

Cited by 3 publications

References 21 publications

Cramér-Rao Lower Bound for Forced Oscillations under Independent Multi-channel PMU measurements in Power Systems

Cramér-Rao Lower Bound for Forced Oscillations under Independent Multi-channel PMU measurements in Power Systems

On the Cramer–Rao Bound of Power System Electromechanical Mode Meters

Cramér-Rao Bounds for the Simultaneous Estimation of Power System Electromechanical Modes and Forced Oscillations

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