Estimation of monthly wind speed distribution basing on hybrid Weibull distribution

Ihaddadène, Razika; Ihaddadène, Nabila; Marouane, Mostefaoui

doi:10.1108/wje-09-2016-0084

Cited by 9 publications

(3 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To check how effectively the lifetime model fitted, some statistical tests are conducted by determining the errors like the mean absolute percentage error (MAPE), symmetric mean absolute percentage error (SMAPE), and root mean square error (RMSE) [46,47].…”

Section: Lifetime and Generalised Probabilistic Modelmentioning

confidence: 99%

{\sigma }_{\text{MAPE}}=\frac{100\%}{n}\sum\limits _{i=1}^{n}\vert \frac{\widehat{{y}_{i}}-{y}_{i}}{{y}_{i}}\vert

{\sigma }_{\text{SMAPE}}=\frac{100\%}{n}\sum\limits _{i=1}^{n}\frac{\vert \widehat{{y}_{i}}-{y}_{i}\vert }{\left(\vert \widehat{{y}_{i}}\vert +\vert {y}_{i}\vert \right)/2}

{\sigma }_{\text{RMSE}}=\sqrt{\frac{1}{n}\sum\limits _{i=1}^{n}{\left(\widehat{{y}_{i}}-{y}_{i}\right)}^{2}}

…”

Section: Partial Discharge and Electrical Ageing Testsmentioning

confidence: 99%

See 1 more Smart Citation

Voltage rise rate‐related generalised probabilistic lifetime model of turn‐to‐turn insulation in inverter‐fed motors

Yang,

Bai,

Lei

et al. 2023

High Voltage

View full text Add to dashboard Cite

The lifetime model of turn‐to‐turn insulation in inverter‐fed motors is studied. A lifetime model has been built by considering the effect of inverter‐generated high voltage rise rate (dv/dt up to 20 V/ns). This model is followed by the generalised probabilistic model, in which the lifetime is proportional to the nth power of the voltage rise rate. Moreover, by investigating the effect of voltage rise rate on the partial discharge characteristics, it is found that the effect of voltage rise rate on the charge transport process in a voltage cycle is similar to that of the voltage amplitude. The enhanced partial discharge activity and induced charges are responsible for accelerated ageing and thus determine the final lifetime of turn‐to‐turn insulation. In this case, the generalised probabilistic electric lifetime model is applicable to the voltage rise rate as well as the voltage amplitude.

show abstract

Section: Lifetime and Generalised Probabilistic Modelmentioning

confidence: 99%

{\sigma }_{\text{MAPE}}=\frac{100\%}{n}\sum\limits _{i=1}^{n}\vert \frac{\widehat{{y}_{i}}-{y}_{i}}{{y}_{i}}\vert

{\sigma }_{\text{SMAPE}}=\frac{100\%}{n}\sum\limits _{i=1}^{n}\frac{\vert \widehat{{y}_{i}}-{y}_{i}\vert }{\left(\vert \widehat{{y}_{i}}\vert +\vert {y}_{i}\vert \right)/2}

{\sigma }_{\text{RMSE}}=\sqrt{\frac{1}{n}\sum\limits _{i=1}^{n}{\left(\widehat{{y}_{i}}-{y}_{i}\right)}^{2}}

…”

Section: Partial Discharge and Electrical Ageing Testsmentioning

confidence: 99%

Voltage rise rate‐related generalised probabilistic lifetime model of turn‐to‐turn insulation in inverter‐fed motors

Yang,

Bai,

Lei

et al. 2023

High Voltage

View full text Add to dashboard Cite

show abstract

“…Weibull modelling is general in the sense that it includes exponential (k=1) and Rayleigh (k=2) distributions which are only special cases of this function. The Weibull distribution function and the cumulative distribution function are respectively given by the regular expressions ( 1) and ( 2) [23]:…”

Section: The Two-parameter Weibull Distributionmentioning

confidence: 99%

Assessing the Best Fit Probability Distribution Model for Wind Speed Data for Different Sites of Burkina Faso

Boro¹,

Thierry²,

Kieno³

et al. 2020

CJAST

View full text Add to dashboard Cite

In order to estimate the power output of a wind turbine, optimise its sizing and forecast the economic rate of return and risks of a wind energy project, wind speed distribution modelling is crucial. For which, Weibull distribution is considered as one of the most acceptable model. However, this distribution does not fit certain wind speed regimes. The objective of this study is to model the frequency distribution of the three-hourly wind speed at ten sites of Burkina Faso. In this context, we compared the accuracy of five distributions (Weibull, Hybrid Weibull, Rayleigh, Gamma and inverse Gaussian) which gave satisfactory results in this field. The maximum likelihood method was used to fit the distributions to the measured data. According to the statistical analysis tools (the coefficient of determination and the root mean square error), it was found that the Weibull distribution is most suited to the Bobo, Dédougou, Ouaga and Ouahigouya sites. On the other hand, for the sites of Bogandé, Fada and Po, the hybrid Weibull distribution is the most suitable one. As to the inverse Gaussian distribution, it is the most suitable for the Boromo, Dori and Gaoua sites. In addition, the analysis focused on comparing the mean absolute error of the annual wind power density estimation using the distributions examined. The Hybrid Weibull distribution was found to have a minimal mean absolute error for most study sites.

show abstract

A novel approach to Weibull distribution for the assessment of wind energy speed

Aljeddani,

Mohammed

2023

Alexandria Engineering Journal

View full text Add to dashboard Cite

Estimation of monthly wind speed distribution basing on hybrid Weibull distribution

Cited by 9 publications

References 12 publications

Voltage rise rate‐related generalised probabilistic lifetime model of turn‐to‐turn insulation in inverter‐fed motors

Voltage rise rate‐related generalised probabilistic lifetime model of turn‐to‐turn insulation in inverter‐fed motors

Assessing the Best Fit Probability Distribution Model for Wind Speed Data for Different Sites of Burkina Faso

A novel approach to Weibull distribution for the assessment of wind energy speed

Contact Info

Product

Resources

About