Estimating electromechanical modes and mode shapes using the multichannel ARMAX model

Dosiek, Luke; Pierre, John W.

doi:10.1109/tpwrs.2013.2252928

Cited by 70 publications

(25 citation statements)

References 15 publications

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“…In Table 1, the modal analysis is compared with the proposed method of this paper, which indicates the proper signal estimation and the high accuracy of the proposed method. After obtaining the system eigenvalues using CWT method which its results are expressed in the previous section; residue values can be obtained to aid the calculation of the matrix of Equation 18. The values of M and θ are obtained, and the results are shown in Table 2.…”

Section: Two-area Four-generator Systemmentioning

confidence: 99%

“…17 Auto Regressive Moving Average eXogenous (ARMAX) method is a recursive method that was used for the first time on ambient data. 18 Other notable methods include Hilbert-Huang transform method, 19 and Recursive Maximum Likelihood method. 20 The application of these methods was evaluated in several articles including in the design of controller, PSS, and transient stability and voltage stability.…”

Section: Introductionmentioning

confidence: 99%

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A combined approach for power system stabilizer design using continuous wavelet transform and SQP algorithm

Faraji

Naghshbandy

2018

Int Trans Electr Energ Syst

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Summary Operation and control of large‐scale power systems is a complex task. Since the primary purpose of power system stabilizer (PSS) units is damping of local and interarea modes, identification of network electromechanical oscillatory modes for designing PSS is very important. In this research, continuous wavelet transform (CWT) was used to study low‐frequency electromechanical oscillations of power systems. The complex Morlet mother wavelet and guidelines for the selection of center frequency, bandwidth parameters, and scaling factor were used to estimate reliable modal specifications of the power system. After estimation of power system modes, the Prony method was used to identify the transfer function residue. Thus, the parameters of PSS were calculated by the residual method. In order to improve damping and meet the constraints of the proposed PSS parameters, the sequential quadratic programming algorithm was used as an optimization method. Finally, with the help of MATLAB and PST softwares, modes estimation methods and the proposed controller design approach was simulated on the two known test case systems, IEEE two‐area, four‐generator and 68‐bus, 16‐Gen test cases. The simulation results show efficacy and good performance of the proposed PSS design method to improve damping and small signal stability of the systems.

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Section: Two-area Four-generator Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A combined approach for power system stabilizer design using continuous wavelet transform and SQP algorithm

Faraji

Naghshbandy

2018

Int Trans Electr Energ Syst

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“…1 (G(z) and H(z)) can be derived from the same state space model of a power system, it is reasonable to assume that both transfer functions have the same denominators. This defines an ARMAX (AutoRegressive Moving Average with eXogenous inputs) model structure of the system [10]:…”

Section: This Component Is Equal To G(z)u(t) G(z)mentioning

confidence: 99%

Optimal Multisine Probing Signal Design for Power System Electromechanical Mode Estimation

Perić

Bombois

Vanfretti

2017

Proceedings of the 50th Hawaii International Conference on System Sciences (2017)

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“…The system transfer function of ARMAX process has the form in the Z domain:

italicH ((),, Z) = ([],, A^{- 1} ((),, z) B ((),, z) A^{- 1} ((),, z) C ((),, z)) (|,, _{z = e^{s T_{s}}})

where T s is the sampling period of the measurements;

A^{- 1} ((),, q) = \frac{1}{|A (sans-serif-italicq)|} sans-serif-italicadj ([],, sans-serif-italicA ((),, q))

;…”

Section: Structural Damage Detection Combining Ssa and Armax Modelmentioning

confidence: 99%

Singular spectrum analysis combined with ARMAX model for structural damage detection

Lakshmi

Rao

Gopalakrishnan

2016

Struct. Control Health Monit.

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Time series analysis is being used popularly in structural health monitoring mainly because of its output-only and non-modal approach. Generally, the damage features are extracted either from the coefficients or the prediction errors of the time series models. However, when the incipient damage is small like minor cracks, the damage features of popularly used time series models, constructed using only the coefficients/prediction errors, are not sensitive. Therefore, identifying the presence or exact spatial damage location becomes difficult. In view of this, in this paper, we present an approach to enhance the sensitivity of the damage features by augmenting Singular Spectrum Analysis (SSA) to ARMAX model, enabling it to locate the smaller damage like cracks. The damage index is obtained from the Cepstral distance between any two ARMAX models. Numerical simulation studies have been carried out by considering an example of a simply supported beam girder with single and multiple cracks. Experimental studies on a simply supported RCC beam is conducted to demonstrate the effectiveness of the proposed algorithm. A benchmark problem associated with the bookshelf frame structure, proposed by Engineering Institute -Los Alamos National Laboratory, is used as another example for experimental verification of the proposed technique. SSA is found to improve the sensitivity of the damage features devised from the ARMAX models for detection of minor damage and damage localization on the structures.

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Estimating electromechanical modes and mode shapes using the multichannel ARMAX model

Cited by 70 publications

References 15 publications

A combined approach for power system stabilizer design using continuous wavelet transform and SQP algorithm

A combined approach for power system stabilizer design using continuous wavelet transform and SQP algorithm

Optimal Multisine Probing Signal Design for Power System Electromechanical Mode Estimation

Singular spectrum analysis combined with ARMAX model for structural damage detection

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