Dynamic response of wind turbine gear system with uncertain-but-bounded parameters using interval analysis method

Guerine, Ahmed; Hami, Abdelkhalak El; Walha, Lassâad; Fakhfakh, Tahar; Haddar, Mohamed

doi:10.1016/j.renene.2017.06.028

Cited by 43 publications

(8 citation statements)

References 21 publications

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“…, N ). Meanwhile, immigrant operator [8], [15] is introduced to exchange message among populations, and to avoid the destruction and loss of optimal individual information. In the exchange, the elite population doesn't participate selection, crossover and mutation operators, and the minimum reserved generation is usually regarded as the terminal condition of optimization iterations.…”

Section: B Enhanced Extremum Kriging Modelmentioning

confidence: 99%

“…To address the above issue, a number of analytical approaches emerged for structural dynamic probabilistic analysis. Guerine, et al, proposed an interval analysis method for the dynamic probabilistic failure analysis of wind turbine gear [15]. Codetta-Raiteri, et al, used dynamic Bayesian networks for structural reliability evaluation regarding dynamic loads [16].…”

Section: Introductionmentioning

confidence: 99%

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Decomposed-Coordinated Framework With Enhanced Extremum Kriging for Multicomponent Dynamic Probabilistic Failure Analyses

Feng

Fei

et al. 2019

IEEE Access

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For multicomponent structures enduring dynamic workloads coming from multi-physical fields, safety assessment is significant to guarantee the normal operation of entire structure system. In this paper, an enhanced extremum Kriging-based decomposed coordinated framework (E2K-DCF) is proposed to improve the dynamic probabilistic failure analyses of multicomponent structures. In this method, extremum Kriging model (EKM) is developed by introducing Kriging model into extremum response surface method (ERSM) to process the transient response problem and shorten computational burden in dynamic probabilistic failure analyses. Multiple population genetic algorithm (MPGA) is employed to solve maximum likelihood equation (MLE) and find the optimal hyperparameter θ in the EKM, which is promising to enhance approximate accuracy; decomposed-coordinated (DC) strategy is used to handle the coordinated relationship of multiple analytical objectives. To validate the proposed E2K-DCF, the probabilistic failure analysis of turbine blisk radial deformation is conducted by comparing with different methods within time domain [0 s, 215 s], considering fluid-thermal-structural interaction. It is revealed that the failure probability of blisk radial deformation is only 0.0022 when the allowable value is 2.5702 × 10 −3 m acquired from real world practice. Compared to the other approaches, this E2K-DCF has obvious advantages in fitting time and accuracy as well as simulation efficiency and accuracy. The results illustrate that the E2K-DCF is effective and applicable in dynamic probabilistic failure analysis. The efforts of this paper provide a novel viewpoint for the transient reliability evaluation of multicomponent structures, which is likely to enrich mechanical reliability theory. INDEX TERMS E2K-DCF, multicomponent structure, multiple population genetic algorithm, probabilistic failure, turbine blisk.

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Section: B Enhanced Extremum Kriging Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Decomposed-Coordinated Framework With Enhanced Extremum Kriging for Multicomponent Dynamic Probabilistic Failure Analyses

Feng

Fei

et al. 2019

IEEE Access

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“…16directly. Instead, Taylor series expansion can be employed to evaluate the range [11,12]. In engineering applications, the higher-order terms in the Taylor series expansion are usually neglected, and only the first-order expansion terms are retained.…”

Section: Taylor Series Expansion For Evaluating the Bounds Of Magnetimentioning

confidence: 99%

Prediction of the Upper and Lower Bounds of Magnetic Vector Potentials in a Linear Magnetostatic Field with Uncertain-but-Bounded Parameters

Wang¹,

Wang²

2018

JMAG

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Uncertainty is ubiquitous in practical engineering and scientific research. The uncertainties in parameters can be treated as interval numbers. The prediction of upper and lower bounds of the response of a system including uncertain parameters is of immense significance in uncertainty analysis. This paper aims to evaluate the upper and lower bounds of magnetic vector potentials in a linear magnetostatic field efficiently with uncertainbut-bounded parameters. The uncertain-but-bounded parameters are represented by interval notations. By performing Taylor series expansion on the magnetic vector potentials obtained from the equilibrium governing equation and by using the properties of interval mathematics, we can calculate the upper and lower bounds of the magnetic vector potentials of a linear magnetostatic field. In order to evaluate the accuracy and efficiency of the proposed method, two numerical examples are used. The results illustrate that the precision of the proposed method is acceptable for engineering applications, and the computation time of the proposed method is significantly less than that of the Monte Carlo simulation, which is the most widely used method related to uncertainties. The Monte Carlo simulation requires a large number of samplings, and this leads to significant runtime consumption.

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“…Xie et al [ 21 ] used the interval parameters in order to establish the fatigue characteristics model under different stress states, and realized the fatigue characteristic standardization model based on the new interval analysis method, which solved the problems of insufficient sampling performance, low precision and insufficient stability of test equipment. In order to realize the calculation of parameters with boundaries but uncertain sizes, Guerine et al [ 22 ] proposed an interval analysis method of dynamic response from a wind turbine gear system; Long et al [ 23 ] proposed an interval analysis method of fatigue crack growth life prediction; and Liu et al [ 24 ] proposed an interval uncertainty analysis method of structural static response. Galván et al [ 25 ] obtained the best solution when designing dynamic systems by introducing interval analysis theory.…”

Section: Introductionmentioning

confidence: 99%

Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval Number

2021

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There are great uncertainties in road design parameters, and the traditional point numerical calculation results cannot reflect the complexity of the actual project well. Additionally, the calculation method of road design theory based on interval analysis is more difficult in the use of uncertain design parameters. In order to simplify the calculation process of the interval parameters in the road design theory, the asphalt pavement design is taken as the analysis object, and the permanent deformation of the asphalt mixture is simplified by combining the interval analysis theory. Considering the uncertainty of the design parameters, the data with boundaries but uncertain size are expressed in intervals, and then the interval calculation formula for the permanent deformation of the asphalt mixture is derived, and the interval results are obtained. In order to avoid the dependence of interval calculation on the computer code, according to the interval calculation rule, the interval calculation method with the upper and lower end point values as point operations is proposed. In order to overcome the contradiction between interval expansion results and engineering applications, by splitting the multi-interval variable formulas, the interval variable weights are reasonably given, and the synthesis of each single interval result realizes a simplified calculation based on interval variable weight assignment. The analysis results show that the interval calculation method based on the point operation rule is accurate and reliable, and the simplified method based on the interval variable weight assignment is effective and feasible. The simplified interval calculation method proposed in this paper provides a reference for the interval application of road design theory.

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Dynamic response of wind turbine gear system with uncertain-but-bounded parameters using interval analysis method

Cited by 43 publications

References 21 publications

Decomposed-Coordinated Framework With Enhanced Extremum Kriging for Multicomponent Dynamic Probabilistic Failure Analyses

Decomposed-Coordinated Framework With Enhanced Extremum Kriging for Multicomponent Dynamic Probabilistic Failure Analyses

Prediction of the Upper and Lower Bounds of Magnetic Vector Potentials in a Linear Magnetostatic Field with Uncertain-but-Bounded Parameters

Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval Number

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