Double Magnus Type Wind Turbine

Климина, Л. А.; Shalimova, E. S.; Dosaev, Marat; Selyutskiy, Yury

doi:10.3103/s0027133020040032

Cited by 1 publication

(3 citation statements)

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“…It describes the effect of the generator stator on the rotor; i.e., it characterizes the electrical payload. The expression for it is similar to the one in the works [12,13,15]: Here, is the coefficient of electromechanical interaction (constant determined by the properties of the generator) and is the internal resistance of the generator (constant). The expression for the electromechanical torque is based on the publications [23,25], in which a mathematical model is proposed and analyzed, including the equation for changing the current in the local generator circuit.…”

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

confidence: 99%

“…The lateral force, akin to the Magnus force, is formed during the autorotation of some wind turbines, for example, the Savonius rotor, which was noted at the time such rotors started to be designed and was the reason for the expansion of their application in wind power systems. Thus, turbines, during the autorotation of which the Magnus force is formed, can be used instead of cylinders or together with them as rotary sails, similar to the Flettner sail, to create the lifting force of soaring objects and aircraft [3][4][5][6][7][8], as well as blades of wind turbines, operating based on the Magnus effect [9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

“…It seems relevant to analyze the possibility of using Darrieus turbines as the autorotating blades of a horizontal axis wind turbine, just as Savonius rotors are used in this capacity [9][10][11][12][13]. It should be noted that the use of the Darrieus rotor for the formation of the Magnus force is radically different from the case when the cylinders that form the Magnus force act as the blades of the Darrieus turbine [14].…”

Section: Introductionmentioning

confidence: 99%

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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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