Continuous wind speed models based on stochastic differential equations

Zárate-Miñano, Rafael; Anghel, Marian; Milano, Federico

doi:10.1016/j.apenergy.2012.10.064

Cited by 114 publications

(95 citation statements)

References 29 publications

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“…The stochastic model was suggested and tested with this in mind; in the current version, it basically uses two parameters that determine the drift back to the mean of the process at two different time scales. The Ornstein-Uhlenbeck process has been previously suggested as a more realistic way of representing turbulent wind conditions [28], and other authors have been studying similar models [29].…”

Section: Discussionmentioning

confidence: 99%

Simplified rotor load models and fatigue damage estimates for offshore wind turbines

Muskulus

2015

Phil. Trans. R. Soc. A.

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The aim of rotor load models is to characterize and generate the thrust loads acting on an offshore wind turbine. Ideally, the rotor simulation can be replaced by time series from a model with a few parameters and state variables only. Such models are used extensively in control system design and, as a potentially new application area, structural optimization of support structures. Different rotor load models are here evaluated for a jacket support structure in terms of fatigue lifetimes of relevant structural variables. All models were found to be lacking in accuracy, with differences of more than 20% in fatigue load estimates. The most accurate models were the use of an effective thrust coefficient determined from a regression analysis of dynamic thrust loads, and a novel stochastic model in statespace form. The stochastic model explicitly models the quasi-periodic components obtained from rotational sampling of turbulent fluctuations. Its state variables follow a mean-reverting Ornstein-Uhlenbeck process. Although promising, more work is needed on how to determine the parameters of the stochastic model and before accurate lifetime predictions can be obtained without comprehensive rotor simulations.

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Section: Discussionmentioning

confidence: 99%

Simplified rotor load models and fatigue damage estimates for offshore wind turbines

Muskulus

2015

Phil. Trans. R. Soc. A.

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“…The model of this system is described by Equation (2), and the corresponding parameters are given as follows: ωN = 314. 16, M = 20, P = 1.1184, E = U = 1, Y12 = 2, α = 6°, D = 05, σ = 0.1, and δs = 40°.…”

Section: Modified Smib System and Its Critical Potential Energymentioning

confidence: 99%

Stochastic Stability Analysis of the Power System with Losses

Gan

et al. 2018

Energies

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Renewable energy and electric vehicles have become involved in power systems, which has attracted researchers to stochastic continuous disturbances (SDEs). This paper addresses stochastic analysis issues for the stability of a power system with losses under SDEs. Firstly, the quasi-Hamiltonian models of power systems with losses under SDEs are given. Secondly, a novel analytical method is proposed to analyze the stability of the power system with losses under SDEs based on the stochastic averaging method. Thirdly, comparisons of stability probability under different parameters are performed, from which insights to improve the stability probability of power systems with losses under SDEs can be obtained. Even though it is challenging to assess the stability of a power system with losses under SDEs, the proposed method in this paper could serve well in this regard.

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“…Because of the uncontrollable nature of wind energy, the output power of wind power is unstable, and the volatility and intermittent are obvious. This year, the wind power installed capacity continues to increase, and the security, stability and economy power of grid system will be affected to varying degrees by the impact of wind power [5], [6]. If there is a more objective understanding of the current China's wind power industry status, a scientific identification of influence factors of the intermittency of the wind power generation, and effective measure of stochastic process of large-scale wind power generation, these can provide a very valuable reference for the development of large-scale wind power industry in our country [7].…”

Section: Introductionmentioning

confidence: 99%

Time Series Model of Wind Speed for Multi Wind Turbines based on Mixed Copula

2016

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Abstract. Because wind power is intermittent, random and so on, large scale grid will directly affect the safe and stable operation of power grid. In order to make a quantitative study on the characteristics of the wind speed of wind turbine, the wind speed time series model of the multi wind turbine generator is constructed by using the mixed Copula-ARMA function in this paper, and a numerical example is also given. The research results show that the model can effectively predict the wind speed, ensure the efficient operation of the wind turbine, and provide theoretical basis for the stability of wind power grid connected operation.

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Continuous wind speed models based on stochastic differential equations

Cited by 114 publications

References 29 publications

Simplified rotor load models and fatigue damage estimates for offshore wind turbines

Simplified rotor load models and fatigue damage estimates for offshore wind turbines

Stochastic Stability Analysis of the Power System with Losses

Time Series Model of Wind Speed for Multi Wind Turbines based on Mixed Copula

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