Optimization of Darrieus Turbines with an Upwind and Downwind Momentum Model
Optimization of Darrieus Turbines with an Upwind and Downwind Momentum Model
复制标题
利用逆风和顺风动量模型优化 Darrieus 涡轮机
DOI：
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发表时间：
1983
期刊：
影响因子：
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通讯作者：
H. Mccoy
中科院分区：
文献类型：
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作者：
J. Loth;H. Mccoy
本文提出了一种直叶型Darrieus风力机的理论无粘气动优化方法。首先，一个广义的贝茨限制已被推导出任意数量的致动器磁盘串联。然后引入动量型速度模型，并对转子的上风向和下风向半部分引入单独的余弦型干扰系数。余弦型速度干扰允许转子叶片在逆风和顺风转子半部的接合处附近卸载。通过将作用在每个转子半体上的力的jc分量与作用在两个串联的半圆柱形作动器上的力的jc分量相等，得到了干涉系数的最佳值和非设计值的封闭解。最佳转子效率、坚固度和相应的干扰系数的值已通过最大化从顺风转子的一半以及从整个转子提取的功率而在封闭形式的解析解中获得。两个均匀加载的作动器盘串联的贝茨极限等于CP = 0.64，两个余弦加载的半圆柱形作动器串联的CP = 0.617，直叶片的达里厄转子CP = 0.610。
This paper presents a theoretical inviscid aerodynamic optimization method for straight-bladed Darrieus wind turbines. First, a generalized Betz limit has been derived for an arbitrary number of actuator disks in series. Then a momentum-type velocity model is introduced with separate cosine-type interference coefficients for the upwind and downwind half of the rotor. The cosine-type velocity interference permits the rotor blades to become unloaded near the junction of the upwind and downwind rotor halves. A closed-form solution for the optimum and off-design value of the interference coefficients has been obtained by equating the jc component of force on each of the rotor halves to that on each of two semicylindrical actuators in series. The values for the optimum rotor efficiency, solidity, and corresponding interference coefficients have been obtained in a closed-form analytical solution by maximizing the power extracted from the downwind rotor half as well as from the entire rotor. The Betz limit for two uniformly loaded actuator disks in series is shown to equal CP = 0.64 and for two cosine loaded semicylindrical actuators in series Cp = 0.617 and for a straight-bladed Darrieus rotor CP = 0.610.