Forward and Backward Extended Prony (FBEP) Method for Power System Small-Signal Stability Analysis

Zhao, Shutao; Loparo, Kenneth A.

doi:10.1109/tpwrs.2017.2649879

Cited by 35 publications

(17 citation statements)

References 11 publications

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“…A survey of the literature showed that the extended Prony methods can be a reasonable choice for the proposed framework. Note that the basic Prony method has some weakness such as its sensitivity to noise and selection of the proper order of the system [14][15][16]. An overestimated order may lead to the generation of extraneous modes by the Prony method.…”

Section: Motivation Behind Methodology Selectionmentioning

confidence: 99%

“…For example, the study in [15] proposed a simple criteria for selecting the order of the system. The study in [16] suggested that the Prony method can be performed in forward and backward manners, where the final modes are selected from the collection of those extracted in such a process. This process enabled the Prony method to identify extraneous modes, while allowed elimination of the noise effects.…”

Section: Motivation Behind Methodology Selectionmentioning

confidence: 99%

“…Recently, several studies have attempted to extract oscillation parameters using synchrophasor data. Some of the well-known methods used for oscillation detection using measurement-based approaches include: Kalman Filter (KF) [4] estimation of signal parameters by rotational invariance technique (ESPRIT) [5], Hilbert-Huang transform (HHT) [6][7][8][9], Yule-Walker algorithm [10], wavelet transform (WT) [11], recursive adaptive stochastic subspace identification (RASSI) [12], maximum likelihood method [13], and Prony analysis method [14][15][16]. Among them, the Prony method is one of the most commonly used measurement-based methods.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, extensions of the Prony method have been developed that can calculate oscillatory modes of multiple signals in a central [14] or distributed [15] manner. Furthermore, a forward and backward extended Prony (FBEP) method is proposed in order [16] to reduce the sensitivity of the Prony method to noise.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

An Augmented Prony Method for Power System Oscillation Analysis Using Synchrophasor Data

Arpanahi

Kordi²,

Torkzadeh

et al. 2019

Energies

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Intrinsic mode functions (IMFs) provide an intuitive representation of the oscillatory modes and are mainly calculated using Hilbert–Huang transform (HHT) methods. Those methods, however, suffer from the end effects, mode-mixing and Gibbs phenomena since they use an iterative procedure. This paper proposes an augmented Prony method for power system oscillation analysis using synchrophasor data obtained from a wide-area measurement system (WAMS). In the proposed method, in addition to the estimation of the modal information, IMFs are extracted using a new explicit mathematical formulation. Further, an indicator based on an energy and phase relationship of IMFs is proposed, which allows system operators to recognize the most effective generators/actuators on specific modes. The method is employed as an online oscillation-monitoring framework providing inputs for the so-called wide-area damping control (WADC) module. The efficacy of the proposed method is validated using three test cases, in which the IMFs calculation is simpler and more accurate if compared with other methods.

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Section: Motivation Behind Methodology Selectionmentioning

confidence: 99%

Section: Motivation Behind Methodology Selectionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An Augmented Prony Method for Power System Oscillation Analysis Using Synchrophasor Data

Arpanahi

Kordi²,

Torkzadeh

et al. 2019

Energies

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“…In order to evaluate the dynamic response consistency of the system state variables before and after the order reduction, the Prony transformation is used to extract the three crucial characteristics of dynamic response: frequency, damping and amplitude [29]. The Prony transformation describes the time-series sampling data of dynamic response by a set of linear combinations of exponential function.…”

Section: Consistency Evaluation Of Dynamic Response Before and After mentioning

confidence: 99%

Multi-Time Scale Model Order Reduction and Stability Consistency Certification of Inverter-Interfaced DG System in AC Microgrid

et al. 2018

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AC microgrid mainly comprise inverter-interfaced distributed generators (IIDGs), which are nonlinear complex systems with multiple time scales, including frequency control, time delay measurements, and electromagnetic transients. The droop control-based IIDG in an AC microgrid is selected as the research object in this study, which comprises power droop controller, voltage-and current-loop controllers, and filter and line. The multi-time scale characteristics of the detailed IIDG model are divided based on singular perturbation theory. In addition, the IIDG model order is reduced by neglecting the system fast dynamics. The static and transient stability consistency of the IIDG model order reduction are demonstrated by extracting features of the IIDG small signal model and using the quadratic approximation method of the stability region boundary, respectively. The dynamic response consistencies of the IIDG model order reduction are evaluated using the frequency, damping and amplitude features extracted by the Prony transformation. Results are applicable to provide a simplified model for the dynamic characteristic analysis of IIDG systems in AC microgrid. The accuracy of the proposed method is verified by using the eigenvalue comparison, the transient stability index comparison and the dynamic time-domain simulation.

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Stability analysis of sub‐/super‐synchronous oscillation based on closed‐loop transfer function poles of D‐PMSG wind power systems

Shen

Yang

Hao

2022

IEEJ Transactions Elec Engng

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In recent years, the sub‐/super‐synchronous oscillation (SSO) caused by grid integration of direct‐drive permanent magnet synchronous generators (D‐PMSG) has attracted wide attention. However, most of the existing stability analysis methods are either complex or cannot quantitatively analyze the influence of parameter changes on system stability. To address the problems, this paper proposes a novel stability analysis method for SSO in the D‐PMSG integrated power system based on closed‐loop transfer function poles. Firstly, the impedance modeling method was introduced to analyze the stability of the D‐PMSG power system. Then, a stability criterion was proposed based on the poles of the closed‐loop function. The proposed criterion is simple and has a clear physical background. The real part of the poles represents the damping while the imaginary part of the pole reflects the oscillation frequency. Finally, simulation results verify the accuracy and effectiveness of the proposed method. Moreover, its application in influence factors for quantitative analysis was also validated. © 2022 Institute of Electrical Engineers of Japan. Published by Wiley Periodicals LLC.

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Forward and Backward Extended Prony (FBEP) Method for Power System Small-Signal Stability Analysis

Cited by 35 publications

References 11 publications

An Augmented Prony Method for Power System Oscillation Analysis Using Synchrophasor Data

An Augmented Prony Method for Power System Oscillation Analysis Using Synchrophasor Data

Multi-Time Scale Model Order Reduction and Stability Consistency Certification of Inverter-Interfaced DG System in AC Microgrid

Stability analysis of sub‐/super‐synchronous oscillation based on closed‐loop transfer function poles of D‐PMSG wind power systems

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