An approach for statistical quantitative analysis of voltage fluctuations using extended participation factors

Geraldi, Edson L.; Fernandes, Tatiane C. C.; Alves, Guilherme Henrique; Ramos, Rodrigo A.

doi:10.1109/pesgm.2015.7286437

Cited by 3 publications

(4 citation statements)

References 11 publications

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“…Such an "extended PF" has been proven to align with the conventional model-based PF, provided the distribution of initial states meets an ideally symmetric condition. The benefits of extended PFs for power systems were showcased in [18] and [19]. References [20] and [21] differentiate between mode-in-state PFs and state-in-mode PFs, applying a model-based approach for calculations that necessitates knowledge of the linearized model's eigenvectors.…”

Section: Literature Reviewmentioning

confidence: 99%

“…It is essential to clarify that, for the sake of avoiding ambiguity, Eq. ( 4) is defined as the Extended Participation Factor (EPF) for convenience, as per the nomenclature employed in [18] and [19]. It is worth noting that this term carries a distinct name in [17].…”

Section: Preliminarymentioning

confidence: 99%

“…The proposed approach can be represented as solving a linear equation in the following form: = S (19) where S is the sampling matrix of measurements, with each row representing the rotor speed data of all generators (at different columns) at a particular time instant of the measuring window. Ψ is the mode composition that needs to be computed, while B represents the excitation energy calculated from the measurement.…”

Section: The Relationship Between Coherence and Errormentioning

confidence: 99%

“…Ψ is the mode composition that needs to be computed, while B represents the excitation energy calculated from the measurement. Given a sufficiently high sampling frequency of measurements, S generally has significantly more rows than columns, making equation (19) an overdetermined system However, if the rotor speeds of two generators (say generators i and j) are almost proportional to each other, the columns i and j of S become coherent, meaning that these two vectors are nearly linearly dependent. This results in a large condition number of S and a considerable error in the solution of (19).…”

Section: The Relationship Between Coherence and Errormentioning

confidence: 99%

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Estimation of Participation Factors on Power System Oscillation from Measurements

Xia

Yu²,

Sun

et al. 2023

Preprint

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In a power system, the conventional method for computing participation factors of generators associated with an oscillatory mode involves using linearized system models and element-by-element products of corresponding right and left eigenvectors. Unlike traditional modal analysis methods, this paper proposes a new approach for estimating participation factors from measurements on generator responses under a range of disturbances. This method computes extended participation factors that coincide with accurate model-based participation factors, provided that the measured responses satisfy an ideally symmetric condition. This paper further relaxes the symmetric condition by identifying a coordinate transformation from the original measurement space to an optimal new space for the best symmetry. Consequently, the optimal estimation of participation factors solely from measurements is achieved, and the factors influencing accuracy are discussed. The proposed approach is comprehensively demonstrated using a two-area system and then tested on an NPCC 48-machine power system.

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