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A Novel Multiobjective Formulation for Optimal Wind Speed Modeling via a Mixture Probability Density Function
by
Diaaeldin, Ibrahim Mohamed
, Attia, Mahmoud A.
, Khamees, Amr K.
, Omar, Othman A. M.
, Badr, Ahmed O.
in
Air-turbines
/ Alternative energy
/ Case studies
/ Decision making
/ Design and construction
/ Distribution (Probability theory)
/ Distribution functions
/ Energy storage
/ Frequency distribution
/ Genetic algorithms
/ Mathematical analysis
/ Mathematics
/ mixture probability distribution functions
/ Mixtures
/ multiobjective optimization
/ Multiple objective analysis
/ Mutation
/ Optimization algorithms
/ Particle swarm optimization
/ probabilistic distribution functions
/ Probability density functions
/ Probability distribution
/ Probability distribution functions
/ Renewable resources
/ Root-mean-square errors
/ Sorting algorithms
/ Speed
/ Statistical analysis
/ Wind speed
/ Wind turbines
/ Winds
2023
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A Novel Multiobjective Formulation for Optimal Wind Speed Modeling via a Mixture Probability Density Function
by
Diaaeldin, Ibrahim Mohamed
, Attia, Mahmoud A.
, Khamees, Amr K.
, Omar, Othman A. M.
, Badr, Ahmed O.
in
Air-turbines
/ Alternative energy
/ Case studies
/ Decision making
/ Design and construction
/ Distribution (Probability theory)
/ Distribution functions
/ Energy storage
/ Frequency distribution
/ Genetic algorithms
/ Mathematical analysis
/ Mathematics
/ mixture probability distribution functions
/ Mixtures
/ multiobjective optimization
/ Multiple objective analysis
/ Mutation
/ Optimization algorithms
/ Particle swarm optimization
/ probabilistic distribution functions
/ Probability density functions
/ Probability distribution
/ Probability distribution functions
/ Renewable resources
/ Root-mean-square errors
/ Sorting algorithms
/ Speed
/ Statistical analysis
/ Wind speed
/ Wind turbines
/ Winds
2023
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Do you wish to request the book?
A Novel Multiobjective Formulation for Optimal Wind Speed Modeling via a Mixture Probability Density Function
by
Diaaeldin, Ibrahim Mohamed
, Attia, Mahmoud A.
, Khamees, Amr K.
, Omar, Othman A. M.
, Badr, Ahmed O.
in
Air-turbines
/ Alternative energy
/ Case studies
/ Decision making
/ Design and construction
/ Distribution (Probability theory)
/ Distribution functions
/ Energy storage
/ Frequency distribution
/ Genetic algorithms
/ Mathematical analysis
/ Mathematics
/ mixture probability distribution functions
/ Mixtures
/ multiobjective optimization
/ Multiple objective analysis
/ Mutation
/ Optimization algorithms
/ Particle swarm optimization
/ probabilistic distribution functions
/ Probability density functions
/ Probability distribution
/ Probability distribution functions
/ Renewable resources
/ Root-mean-square errors
/ Sorting algorithms
/ Speed
/ Statistical analysis
/ Wind speed
/ Wind turbines
/ Winds
2023
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A Novel Multiobjective Formulation for Optimal Wind Speed Modeling via a Mixture Probability Density Function
Journal Article
A Novel Multiobjective Formulation for Optimal Wind Speed Modeling via a Mixture Probability Density Function
2023
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Overview
Over the past decades, the mathematical formulation of wind turbines (WTs) has been handled using different methodologies to model the probabilistic nature via different distribution functions. Many recently published articles have applied either the wind speed or the obtained active power from the WT on various probabilistic curves, such as Weibull, log-normal, and Gamma. In this work, the wind speed was modeled at five different locations in Egypt via a novel mixture probability distribution function (MPDF) that included four well-known distribution functions used to imitate the probabilistic nature of wind speed. Moreover, a decision-making multiple objective formulation was developed to optimally fit the MPDF with a minimum root mean square error (RMSE) and ensure reliable fitting by two other effective indices. Two methodologies, namely, equal and variable class widths, were investigated to model the density of wind speed and obtain a more realistic model for the tested wind speed profiles. The results showed the effectiveness of the proposed MPDF model as the RMSE was effectively minimized using multiobjective particle swarm optimization (MOPSO), showing nearly 10% improvement compared to the nondominated sorting genetic algorithm (NSGA-II).
Publisher
MDPI AG
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