Statistical analysis for the detection of voltage fluctuations in distributed synchronous generation using extended participations factors

Moraco, Anna G. M.; Fernandes, Tatiane C. C.; Garcia, Gabriel S.; Ramos, Rodrigo A.

doi:10.1109/icit.2012.6209980

Cited by 5 publications

(10 citation statements)

References 11 publications

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“…In practice, this particular condition is rarely found. Therefore, as became evident in [4], the voltage fluctuations induced by the electromechanical oscillations cannot be identified by these traditional participation factors.…”

Section: Introductionmentioning

confidence: 94%

“…As explained in details on [4] and [3], the traditional participation factors can characterize the response of the system only when a particular initial condition is considered. This kind of initial condition is obtained in situations where only one of the system state variables is excited.…”

Section: Extended Participation Factorsmentioning

confidence: 99%

“…In [4], a uniform distribution is used in the simulation to define the probability of occurrence of each parameter that can determine a perturbation. However, this distribution does not reflect the average behavior of the system under a typical perturbation, since anomalous and frequent disturbances have the same chance to be chosen by the Monte Carlo method to form the set of initial conditions.…”

Section: Extended Participation Factorsmentioning

confidence: 99%

“…However, as presented in [4] [5], these traditional participation factors are appropriated for measuring the relative participation of the states in the modes, but are not suitable for characterizing the system response, when it is liable to a real disturbance. It happens because in the definition of these participation factors, a particular initial condition (a vector of the canonical base of the state space) is considered [3].…”

Section: Introductionmentioning

confidence: 98%

“…In this way, a work developed by the authors in [4] presented a studied case, in which a statistical approach is applied to calculate this factors. In this case, the Monte Carlo method and the uniform probability function was used to define how the parameters of the perturbation could be changed in order to create the set of initial conditions.…”

Section: Introductionmentioning

confidence: 98%

See 4 more Smart Citations

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

Geraldi

Fernandes

Alves

et al. 2015

2015 IEEE Power &Amp; Energy Society General Meeting

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In this paper, a new concept of participation factors is used to investigate the presence of the voltage fluctuations induced by the electromechanical oscillations in systems with distributed generation. Unlike the originally proposed participation factors (which will be called traditional participation factors), the extended participation factors is calculated taking into account a set of initial conditions, which makes them able to detect and quantify the voltage fluctuation from a statistical viewpoint. In order to obtain a set of initial conditions that efficiently reflects the random nature of the plausible disturbances in the system, a Monte Carlo method and a normal distribution of the disturbance parameters are used to build this set.The obtained results show the efficiency of extended participation factors in detecting and statistically quantifying voltage fluctuations. In addition, the results indicate that it is possible to infer the probability of occurrence of voltage fluctuation in the studied system considering a statistical approach.

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Section: Introductionmentioning

confidence: 94%

Section: Extended Participation Factorsmentioning

confidence: 99%

Section: Extended Participation Factorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 98%

See 3 more Smart Citations

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

Geraldi

Fernandes

Alves

et al. 2015

2015 IEEE Power &Amp; Energy Society General Meeting

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Local modal participation analysis of nonlinear systems using Poincaré linearization

Hamzi

Abed

2019

Nonlinear Dyn

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The paper studies an extension to nonlinear systems of a recently proposed approach to the definition of modal participation factors. A definition is given for local mode-in-state participation factors for smooth nonlinear autonomous systems. While the definition is general, the resulting measures depend on the assumed uncertainty law governing the system initial condition, as in the linear case. The work follows Hashlamoun et al. (IEEE Trans Autom Control 54(7):1439-1449 2009) in taking a mathematical expectation (or set-theoretic average) of a modal contribution measure over an uncertain set of system initial state. Poincaré linearization is used to replace the nonlinear system with a locally equivalent linear system. It is found that under a symmetry assumption on the distribution of the initial state, the tractable calculation and analytical formula for mode-in-state participation factors found for the linear case persists to the nonlinear setting. This paper is dedicated to the memory of Professor Ali H. Nayfeh.

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Local mode-in-state participation factors for nonlinear systems

Hamzi

Abed

2014

53rd IEEE Conference on Decision and Control

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The paper studies an extension to nonlinear systems of a recently proposed approach to the concept of modal participation factors. First, a definition is given for local mode-in-state participation factors for smooth nonlinear autonomous systems. The definition is general, and, unlike in the more traditional approach, the resulting participation measures depend on the assumed uncertainty law governing the system initial condition. The work follows Hashlamoun, Hassouneh and Abed (2009) in taking a mathematical expectation (or settheoretic average) of a modal contribution measure with respect to an assumed uncertain initial state. As in the linear case, it is found that a symmetry assumption on the distribution of the initial state results in a tractable calculation and an explicit and simple formula for mode-in-state participation factors. * Boumediene Hamzi is with the

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Statistical analysis for the detection of voltage fluctuations in distributed synchronous generation using extended participations factors

Cited by 5 publications

References 11 publications

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

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

Local modal participation analysis of nonlinear systems using Poincaré linearization

Local mode-in-state participation factors for nonlinear systems

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