Parametrical Analysis of the behavior of an Aerodynamic Pendulum with Vertical Axis of Rotation

Климина, Л. А.; Lokshin, B. Ya.; Самсонов, В. А.

doi:10.1007/978-1-4020-8778-3_19

Cited by 8 publications

(7 citation statements)

References 2 publications

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“…A similar equation was concluded by Klimina et al [17]. Suppose that 1 = 0 and ̇= Φ|sin |, then applying equation 27 on equation 14 yields the following expression: * = 3.183 2…”

supporting

confidence: 54%

“…The comparison between the phase diagrams obtained by this solution and also by Navier-Stocks equation shows good agreement. Parametric analysis of the behavior of an aerodynamic pendulum was done by Klimina et al [17] in order to study of a small wind power generator with a vertical axis. They proposed a mathematical model for free rotation mode of the pendulum and stability analysis was carried out on this model to find stable rotational region.…”

Section: Introductionmentioning

confidence: 99%

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Mathematical model and stability analysis of fluttering and autorotation of an articulated plate into a flow

Rostami

Fernandes

2018

Communications in Nonlinear Science and Numerical Simulation

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This paper is dedicated to develop a mathematical model that can simulate nonlinear phenomena of a hinged plate which places into the fluid flow (1 DOF). These phenomena are fluttering (oscillation motion), autorotation (continuous rotation) and chaotic motion (combination of fluttering and autorotation). Two mathematical models are developed for 1 DOF problem using two eminent mathematical models which had been proposed for falling plates (3 DOF). The procedures of developing these models are elaborated and then these results are compared to experimental data. The best model in the simulation of the phenomena is chosen for stability and bifurcation analysis. Based on these analyses, this model shows a transcritical bifurcation and as a result, the stability diagram and threshold are presented. Moreover, an analytical expression is given for finding the boundary of bifurcation from the fluttering to the autorotation.

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“…A similar equation was concluded by Klimina et al [17]. Suppose that 1 = 0 and ̇= Φ|sin |, then applying equation 27 on equation 14 yields the following expression: * = 3.183 2…”

supporting

confidence: 54%

Section: Introductionmentioning

confidence: 99%

Mathematical model and stability analysis of fluttering and autorotation of an articulated plate into a flow

Rostami

Fernandes

2018

Communications in Nonlinear Science and Numerical Simulation

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“…To determine the lateral force and the drag force acting on the Darrieus rotor, we use a quasi-static model (similar to [22][23][24][25][26][27]). We consider a separate Darrieus rotor rotating around its central axis C. Let the rotor be located in a uniform air flow, the velocity U of which is orthogonal to the rotor's axis of rotation.…”

Section: Forces Acting On the Darrieus Rotor During Autorotationmentioning

confidence: 99%

“…We neglect the difference between the air velocities of the blade's points, assuming that the distance OC significantly exceeds the length of the Darrieus rotor blade and length r of the holders and in turn r is significantly larger than the chord of the profile. Such assumptions are quite standard when applying a quasi-static model, for example [22][23][24][25].…”

Section: Equations Of Motion Of a Turbine With Blades In The Form Of Darrieus Rotorsmentioning

confidence: 99%

Darrieus-Magnus Type Wind Turbine: Dynamics and Control

Климина

2021

J. Comput. Syst. Sci. Int.

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When the Darrieus rotor rotates, a force is generated that is akin to the Magnus force: perpendicular to the oncoming flow velocity. In this study, it is calculated based on a quasi-static model of the aerodynamic action and compared with a similar force acting on the Savonius rotor. This force allows the Darrieus rotor to be used as an element of a wind power plant operating based on the Magnus effect. The mathematical model of such a wind turbine with a horizontal shaft and two rotating blades in the form of Darrieus rotors is presented in the form of a fifth-order dynamic system. The parameter that characterizes the useful external electrical load in the local circuit of the electric generator of the plant acts as the gain of the control action in the model. As a result of the analysis, it is found that a wind turbine can have at least three types of operating modes. Two of them are characterized by the synchronization of the average angular velocities of the Darrieus rotors; in the general case, the average rotation speed of the central shaft is incommensurable with them. In the third type of modes, the proper rotation speeds of Darrieus rotors are incommensurable. The problem of choosing a control that provides the maximum value of mechanical power in the operating mode of the wind turbine is solved.

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“…Liubov Klimina et al did some significant investigations about traditional aero-dynamics pendulum from dynamics. He studied the self-rotating region and rotational motion modes of aero-dynamic pendulum in the airflow and proposed a pitch angle control mechanism which can improve the efficiency of the system (Klimina et al , 2009; Klimina, 2009).…”

Section: Introductionmentioning

confidence: 99%

Trajectory tracking and point stability of three-axis aero-dynamic pendulum with MPC strategy in disturbance environment

Liu

Xu²,

Liu

2021

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Purpose The purpose of this research on the control of three-axis aero-dynamic pendulum with disturbance is to facilitate the applications of equipment with similar pendulum structure in intelligent manufacturing and robot. Design/methodology/approach The controller proposed in this paper is mainly implemented in the following ways. First, the kinematic model of the three-axis aero-dynamic pendulum is derived in state space form to construct the predictive model. Then, according to the predictive model and objective function, the control problem can be expressed a quadratic programming (QP) problem. The optimal solution of the QP problem at each sampling time is the value of control variable. Findings The trajectory tracking and point stability tests performed on the 3D space with different disturbances are validated and the results show the effectiveness of the proposed control strategy. Originality/value This paper proposes a nonlinear unstable three-axis aero-dynamic pendulum with less power devices. Meanwhile, the trajectory tracking and point stability problem of the pendulum system is investigated with the model predictive control strategy.

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Parametrical Analysis of the behavior of an Aerodynamic Pendulum with Vertical Axis of Rotation

Cited by 8 publications

References 2 publications

Mathematical model and stability analysis of fluttering and autorotation of an articulated plate into a flow

Mathematical model and stability analysis of fluttering and autorotation of an articulated plate into a flow

Darrieus-Magnus Type Wind Turbine: Dynamics and Control

Trajectory tracking and point stability of three-axis aero-dynamic pendulum with MPC strategy in disturbance environment

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