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The Optimum Solution to Diameter of the Down Wind Turbine

Li Zhang

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Abstract

In view of the deficiency in calculation precision of turbine diameter at present, the mathematics model of energy distribution on swept area of the down wind turbine was proposed, and the energy expression that taked into account wind shear and tower shade effect was also accurately deduced.Combining with the concrete case, three different calculation methods about turbine dimeter were respectively solved.The calculation results show that the influence of wind shear is really little in turbine diameter calculation.The influentce of tower shade effect is obvious,while the influence of tower height is maximal. There is approximately a linear relationship between the turbine diameter and the tower diameter. The tower height has the maximum. There is a optimum match relationship that satisfies the demand of energy output in the down wind turbine.

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What this paper is about

In view of the deficiency in calculation precision of turbine diameter at present, the mathematics model of energy distribution on swept area of the down wind turbine was proposed, and the energy expression that taked into account wind shear and tower shade effect was also accurately deduced.Combining with the concrete case, three different calculation methods about turbine dimeter were respectively solved.The calculation results show that the influence of wind shear is really little in turbine diameter calculation.The influentce of tower shade effect is obvious,while the influence of tower height is maximal. There is approximately a linear relationship between the turbine diameter and the tower diameter. The tower height has the maximum. There is a optimum match relationship that satisfies the demand of energy output in the down wind turbine.

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Available abstract

In view of the deficiency in calculation precision of turbine diameter at present, the mathematics model of energy distribution on swept area of the down wind turbine was proposed, and the energy expression that taked into account wind shear and tower shade effect was also accurately deduced.Combining with the concrete case, three different calculation methods about turbine dimeter were respectively solved.The calculation results show that the influence of wind shear is really little in turbine diameter calculation.The influentce of tower shade effect is obvious,while the influence of tower height is maximal. There is approximately a linear relationship between the turbine diameter and the tower diameter. The tower height has the maximum. There is a optimum match relationship that satisfies the demand of energy output in the down wind turbine.

Key concepts: Tower, Turbine, Wind shear, Wind power, Mathematics, Wind speed, Structural engineering, Engineering

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