Dynamic behavior of a two-stage gear train used in a fixed-speed wind turbine

Abboudi, Kamel; Walha, Lassâad; Driss, Yassine; Maatar, M.; Fakhfakh, Taher; Haddar, Mohamed

doi:10.1016/j.mechmachtheory.2011.07.009

Cited by 48 publications

(20 citation statements)

References 4 publications

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“…In addition, 7,8 λ are also influenced by ∆ to some extent (with participation factors 0.0498 and 0.0439), which are the control systems of the DC chopper and the VSI respectively. 7,8 λ are also electrical oscillation modes, which are mainly affected by the control system. The oscillation frequency of 7,8 λ is lower than 0.1 Hz, which has limited impact on the system and thus is neglected in the study.…”

Section: Eigenvalue Analysismentioning

confidence: 99%

“…7,8 λ are also electrical oscillation modes, which are mainly affected by the control system. The oscillation frequency of 7,8 λ is lower than 0.1 Hz, which has limited impact on the system and thus is neglected in the study.…”

Section: Eigenvalue Analysismentioning

confidence: 99%

“…The vibration may lead to shaft faults if the mechanical damping of wind turbines cannot compensate the negative damping of electrical systems [6]. In [7], a lumped mass model of a FSIG is developed and the simulation results showed that the FSIG system is excited by wind speed and gear mesh stiffness fluctuations, which can reduce the lifespan of wind turbines. In [8], the simulation results indicate the torsional excitation can be potentially mitigated for DFIG with the de-coupled control of the generator speed and terminal voltage.…”

Section: Introductionmentioning

confidence: 99%

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Small-signal Modeling and Modal Analysis of a PMSG-based Wind Power System

Wu¹,

Xie²,

Zhao³

et al. 2017

dtmse

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A unified small-signal model of a wind power system is developed in this paper to study the small-signal stability of permanent magnet synchronous generator (PMSG)-based wind turbines connected to the power grid. The model is composed of both mechanical system and electrical system. A two-mass shaft model for the mechanical system is provided to analyze the dynamic and steady state behaviors. Meanwhile, PMSG, converter system and transmission line of the electrical system are modeled separately to build a unified small-signal model of the PMSG-based wind power system. Then, based on the unified small-signal model, eigenvalue analysis for the whole system is presented, which helps discover the relation between different modes and state variables. Cases involving various series compensation degrees, length of transmission lines and the stiffness of shafts are carried out to study how the modes are influenced by relevant variables specifically. The relatively independent modules of the unified small-signal model allow for easy expansion and modification for various research purposes. The simulation results show that the mechanical and electrical systems of PMSG-based wind turbines are independent to some degree with the implementation of a full-scale converter system.

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Section: Eigenvalue Analysismentioning

confidence: 99%

Section: Eigenvalue Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Small-signal Modeling and Modal Analysis of a PMSG-based Wind Power System

Wu¹,

Xie²,

Zhao³

et al. 2017

dtmse

View full text Add to dashboard Cite

show abstract

“…Junguo Wang [5] studied the torsional vibration model of a singlestage spur gear drive system, analyzing the effect of stiffness on the dynamic behavior of the locomotive gear transmission system. Lassâad Walha [6] and Kamel Abboudi [7] established a 12-DOF nonlinear dynamic model for the two-stage gear system, only considering the gear system itself without the effects of input and output in the model. Parker [8,9] and Fernández [10] established a finite element model of gear transmission, based on the finite element contact mechanics theory.…”

Section: Introductionmentioning

confidence: 99%

Transmission Error Analysis and Disturbance Optimization of Two‐Stage Spur Gear Space Driven Mechanism with Large Inertia Load

Cui

2018

Shock and Vibration

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For the nonlinear disturbance actual issues of the model space drive mechanism two-stage spur gear system, a nonlinear dynamic model of 14-DOF (degree of freedom) two-stage spur gear with time-varying stiffness and damping was established. This model has been developed previously by the authors to access the large inertia on the dynamic response of spur gear space driving mechanism, and its effectiveness was proved by a motion simulation experiment. In this paper, the profile error (PE) and the index error (IE) were enhanced in the dynamic model. The effects of profile error, index error, and variable load torque on transmission error (TE) were analyzed, while the optimization was proposed according to the analyzed result. The peak-to-peak value of the optimized load transmission error (LTE) was reduced by 60.7%, which improved the transmission accuracy and reduced the phenomenon of disturbance. The research of nonlinear dynamical model of two-stage spur gear and the TE of the large inertia load were enriched, which provided an important reference for the actual design of the gear system.

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“…Turbulent winds and gusts can excite modes leading to torsional vibration in the drive-train, which in turn produce large stresses on components. Ultimately, this may reduce the lifetime of components, such as wind turbine gearboxes [5]. When torsional vibration is present in the drive-train, they would be converted into electrical power oscillations, which is highly undesirable for the operation of the power system.…”

Section: Introductionmentioning

confidence: 99%

An Equivalent Model of Wind Farms for Torsional Vibration Analysis

Yi-chen¹,

Xie²,

Zhao³

et al. 2017

dtmse

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Torsional vibration of wind turbines can be excited by the small electrical disturbance from the power system, which can cause damage to the shaft. In this paper, based on the established model of fixed speed induction generator (FSIG), the small signal model of the FSIG-based wind farm is developed according to the step by step transfer of the state variables of the differential equations. Then through similarity transformation of the state matrix, a novel equivalent model of the multi-machine infinite-bus system is derived. In this model, the original N-FSIG wind farm is decomposed into N-1 identical independent single-machine infinite-bus subsystems and one modified single-machine infinite-bus subsystem. Finally, simulations are performed in Matlab/Simulink and results comparison between the small signal model without equivalence and the proposed equivalent model is conducted extensively. The results show that the torsional vibration modes are reserved completely in the reduced order equivalent model. In addition, the obtained torsional vibration frequencies match well with those from the small signal model without equivalence, indicating the effectiveness and robustness of the equivalent model. Through modal analysis, it is also found that the torsional vibration is excited in both the disturbed FSIGs and the undisturbed ones. Besides, the obtained results are also verified through time-domain simulation.

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Dynamic behavior of a two-stage gear train used in a fixed-speed wind turbine

Cited by 48 publications

References 4 publications

Small-signal Modeling and Modal Analysis of a PMSG-based Wind Power System

Small-signal Modeling and Modal Analysis of a PMSG-based Wind Power System

Transmission Error Analysis and Disturbance Optimization of Two‐Stage Spur Gear Space Driven Mechanism with Large Inertia Load

An Equivalent Model of Wind Farms for Torsional Vibration Analysis

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