Periodic stability analysis of wind turbines operating in turbulent wind conditions

Riva, Riccardo; Cacciola, Stefano; Bottasso, Carlo L.

doi:10.5194/wes-2015-3

Cited by 8 publications

(18 citation statements)

References 22 publications

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“…If instead the system matrices are periodic with period K, that is A(k + K) = A(k), then the stability of the system is studied by Floquet theory, see for example Ref. [9]. The state at two times is related by the transition matrix Φ(k, κ), according to…”

Section: Stability Analysismentioning

confidence: 99%

Stability analysis of vortex-induced vibrations on wind turbines

Riva

Horcas

Sørensen

et al. 2022

J. Phys.: Conf. Ser.

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A parked wind turbine can be subjected to large yaw angles, which causes vortex shedding. Under some particular inflow conditions, the interaction between the shed vorticity and the blade structure could lead to Vortex-Induced Vibrations (VIV). VIV are an instability where the response grows until it reaches a limit cycle oscillation. In this paper, we will focus on this last part of the response. We will see that the shedding makes the aeroelastic system linear time-periodic, and study its stability with Floquet theory. We will use high-fidelity simulations of different inflow conditions, and quantify the stability of the system using a model-free approach.

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Section: Stability Analysismentioning

confidence: 99%

Stability analysis of vortex-induced vibrations on wind turbines

Riva

Horcas

Sørensen

et al. 2022

J. Phys.: Conf. Ser.

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show abstract

“…Because of these issues and with the scope of having a MDO applicable to turbine models with any complexity, the approach based on system identification [47,57,58] has been chosen for the stability submodule. According to this approach, a simplified discrete periodic model of the periodic auto-regressive moving-average model with exogenous input (PARMAX) family is identified from input-output time histories of some suitable variables of interest.…”

Section: Stability Submodulementioning

confidence: 99%

A Research Framework for the Multidisciplinary Design and Optimization of Wind Turbines

Sartori¹,

Cacciola²,

Croce³

et al. 2020

Design Optimization of Wind Energy Conversion Systems With Applications

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The design of very large wind turbines is a complex task which requires the development of dedicated tools and techniques. In this chapter, we present a system-level design procedure based on the combination of multi-body numerical models of the turbine and a multilevel optimization scheme. The overall design aims at the minimization of the cost of energy (COE) through the optimization of all the characteristics of the turbine, and the procedure automatically manages all the simulations required to compute relevant loads and displacements. This unique setup allows the designer to conduct trade-off studies in a highly realistic virtual environment and is an ideal test bench for advanced research studies in which it is important to assess the economic impact of specific design choices. Examples of such studies include the impact of stall-induced vibrations on fatigue, the development of active/passive control laws for large rotors, and the complete definition of 10-20 MW reference turbines.

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“…For anisotropic rotors or rotors with less than three blades, Coleman transformation does not remove all the periodic terms in the system matrix. Instead, Floquet theory 24–28 or Hill's method 29,30 is used to perform the stability analysis.…”

Section: Introductionmentioning

confidence: 99%

An intuitive representation and analysis of multi‐rotor wind turbine whirling modes

Filsoof

Zhang

2021

Wind Energy

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A multi‐rotor wind turbine (MRWT) is a concept that can reduce the size of the rotor blades compared to a single‐rotor wind turbine (SRWT). Making a cost‐optimized MRWT requires a detailed understanding of its stability properties. This paper aims to establish a physical and intuitive representation of whirling modes for three‐bladed isotropic SRWT and MRWT. An aeroelastic simulation of a nonlinear SRWT model is presented to empathize the importance of whirling. The whirling concept is introduced by simplifying the complexity of the wind turbine rotor into two models. From the models, edgewise and flapwise whirling modes are analyzed. An analytical model of a two‐rotor wind turbine is examined to present the edgewise whirling modes of MRWT. The flapwise whirling modes for MRWT are introduced by using results from edgewise whirling and findings from previous research. The MRWT whirling analysis shows whirling from multiple rotors creates reaction forces to the supporting structure when the rotors have the same speed. This results in whirling coupling modes at the same natural frequency. One is a rotor symmetric whirling mode where the rotors whirling are in phase and a rotor asymmetric mode where whirling of the rotors are out of phase. The whirling coupling effects are minimized in the case that the rotors have different speeds.

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Periodic stability analysis of wind turbines operating in turbulent wind conditions

Cited by 8 publications

References 22 publications

Stability analysis of vortex-induced vibrations on wind turbines

Stability analysis of vortex-induced vibrations on wind turbines

A Research Framework for the Multidisciplinary Design and Optimization of Wind Turbines

An intuitive representation and analysis of multi‐rotor wind turbine whirling modes

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