Point estimate schemes for probabilistic three-phase load flow

Caramia, P.; Carpinelli, G.; Varilone, P.

doi:10.1016/j.epsr.2009.08.020

Cited by 92 publications

(44 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…(6) Solve j z which denote the eigenvalues and the eigenvectors of state matrix, damping ratio and participation factors at each deterministic operating point determined by power flow. Estimate the raw moments of j z as expressed in (16)- (19). (7) After obtaining the moments of the eigenvalues, find the CDFs of real part of critical modes(CMs) by applying the Cornish-Fisher expansion as explained in (20), (21), and then determine the probability of power system small signal stability.…”

Section: Computational Procedures Of Psssamentioning

confidence: 99%

“…3) Hong's PEM can deal with the case in which the variables are skewed, since the wind speed is generally treated as a random variable assumed to have a Weibull distribution which is not symmetrical. 4) Among different schemes based on Hong's PEM, the 2m+1 scheme has been shown to have good performance in terms of both accuracy and computational time and is the most efficient scheme in dealing with non-normal distribution [18,19].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Probabilistic Approach to Small Signal Stability Analysis of Power Systems with Correlated Wind Sources

Yue¹,

Li²,

Zhou³

2013

Journal of Electrical Engineering and Technology

View full text Add to dashboard Cite

-This paper presents a probabilistic methodology for small signal stability analysis of power system with correlated wind sources. The approach considers not only the stochastic characteristics of wind speeds which are treated as random variables with Weibull distributions, while also the wind speed spatial correlations which are characterized by a correlation matrix. The approach based on the 2m+1 point estimate method and Cornish Fisher expansion, the orthogonal transformation technique is used to deal with the correlation of wind farms. A case study is carried out on IEEE New England system and the probabilistic indexes for eigenvalue analysis are computed from the statistical processing of the obtained results. The accuracy and efficiency of the proposed method are confirmed by comparing with the results of Monte Carlo simulation. The numerical results indicate that the proposed method can actually capture the probabilistic characteristics of mode properties of the power systems with correlated wind sources and the consideration of spatial correlation has influence on the probability of system small signal stability.

show abstract

Section: Computational Procedures Of Psssamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Probabilistic Approach to Small Signal Stability Analysis of Power Systems with Correlated Wind Sources

Yue¹,

Li²,

Zhou³

2013

Journal of Electrical Engineering and Technology

View full text Add to dashboard Cite

show abstract

“…MCS is time consuming as a large number of simulations, e.g., 20,000, are required. To reduce the computational power, an approximate method, point estimate method (PEM), was used in studies [16][17][18][19]. The PEM uses deterministic procedures to solve probabilistic problems through only a few first statistical moments of probability functions, such as mean and variance, of input variables.…”

Section: Introductionmentioning

confidence: 99%

“…Techniques such as Monte Carlo simulation (MCS) [1,15] and approximate method [16,17] have been used for the probabilistic power flow (PPF) analysis of VU. MCS is time consuming as a large number of simulations, e.g., 20,000, are required.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Point Estimate Method for Voltage Unbalance Evaluation in Residential Distribution Networks with High Penetration of Small Wind Turbines

et al. 2014

View full text Add to dashboard Cite

Abstract:Voltage unbalance (VU) in residential distribution networks (RDNs) is mainly caused by load unbalance in three phases, resulting from network configuration and load-variations. The increasing penetration of distributed generation devices, such as small wind turbines (SWTs), and their uneven distribution over the three phases have introduced difficulties in evaluating possible VU. This paper aims to provide a three-phase probabilistic power flow method, point estimate method to evaluate the VU. This method, considering the randomness of load switching in customers' homes and time-variation in wind speed, is shown to be capable of providing a global picture of a network's VU degree so that it can be used for fast evaluation. Applying the 2m + 1 scheme of the proposed method to a generic UK distribution network shows that a balanced SWT penetration over three phases reduces the VU of a RDN. Greater unbalance in SWT penetration results in higher voltage unbalance factor (VUF), and cause VUF in excess of the UK statutory limit of 1.3%.

show abstract

A novel multi-objective self-adaptive modifiedθ-firefly algorithm for optimal operation management of stochastic DFR strategy

Kavousi‐Fard

Niknam

Baziar

2014

Int. Trans. Electr. Energ. Syst.

View full text Add to dashboard Cite

SUMMARYThis paper suggests a new self-adaptive modification method using firefly algorithm (FA) to investigate the multi-objective probabilistic distribution feeder reconfiguration problem. In this regard, the idea of phase angle vector is employed to replace the traditional Cartesian framework in the FA and thus called θ-FA. Also, a new modification method based on an adaptive mechanism is suggested that will allow each firefly to choose the appropriate modification technique during the optimization suitably. As regards the objective functions, the main focus of this paper is to assess the effect of the reconfiguration on the reliability indices including active power losses, voltage deviation, and system average interruption frequency index. In order to handle the uncertainty effects, a sufficient framework based on 2m + 1 point estimate method is proposed too. The satisfying performance of the proposed method is checked using IEEE 32-bus radial distribution system.

show abstract

Point estimate schemes for probabilistic three-phase load flow

Cited by 92 publications

References 17 publications

A Probabilistic Approach to Small Signal Stability Analysis of Power Systems with Correlated Wind Sources

A Probabilistic Approach to Small Signal Stability Analysis of Power Systems with Correlated Wind Sources

Point Estimate Method for Voltage Unbalance Evaluation in Residential Distribution Networks with High Penetration of Small Wind Turbines

A novel multi-objective self-adaptive modifiedθ-firefly algorithm for optimal operation management of stochastic DFR strategy

Contact Info

Product

Resources

About