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Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

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326 <strong>Fluid</strong> <strong>Mechanics</strong>, <strong>Thermodynamics</strong> <strong>of</strong> <strong>Turbomachinery</strong><br />

lift. Drag machines such as those developed in ancient times by the Persians were <strong>of</strong><br />

rather low efficiency compared with modern turbines (employing lift forces) <strong>and</strong> are<br />

not considered any further in this chapter.<br />

The design <strong>of</strong> the modern wind turbine is based upon aerodynamic principles, which<br />

are elaborated later in this chapter. The rotor blades are designed to interact with the<br />

oncoming airflow so that an aerodynamic lift force is developed. A drag force is also<br />

developed but, in the normal range <strong>of</strong> pre-stall operation, this will amount to only about<br />

1 or 2% <strong>of</strong> the lift force. The lift force, <strong>and</strong> the consequent positive torque produced,<br />

drives the turbine thereby developing output power.<br />

In this chapter, the focus <strong>of</strong> attention is necessarily restricted to the aerodynamic<br />

analysis <strong>of</strong> the horizontal axis wind turbine (HAWT) although some mention is given<br />

<strong>of</strong> the vertical axis wind turbine (VAWT). The VAWT, also referred to as the Darrieus<br />

turbine, after its French inventor in the 1920s, uses vertical <strong>and</strong> <strong>of</strong>ten slightly curved<br />

symmetrical aer<strong>of</strong>oils. Figure 10.3a shows a general view <strong>of</strong> the very large 4.2MW<br />

vertical axis Darrieus wind turbine called the Eolé VAWT installed at Cap-Chat,<br />

Quebec, Canada, having an effective diameter <strong>of</strong> 64m <strong>and</strong> a blade height <strong>of</strong> 96m.<br />

Figure 10.3b, from Richards (1987), is a sketch <strong>of</strong> the major components <strong>of</strong> this aptly<br />

named eggbeater wind turbine. Guy cables (not shown) are required to maintain the<br />

turbine erect. This type <strong>of</strong> machine has one distinct advantage: it can operate consistently<br />

without regard to wind direction. However, it does have a number <strong>of</strong> major<br />

disadvantages:<br />

(i) wind speeds are low close to the ground so that the lower part <strong>of</strong> the rotor is rather<br />

less productive than the upper part,<br />

(ii) high fluctuations in torque occur with every revolution,<br />

(iii) negligible self-start capability,<br />

(iv) limited capacity for speed regulation in winds <strong>of</strong> high speed.<br />

According to Ackermann <strong>and</strong> Söder (2002), VAWTs were developed <strong>and</strong> produced<br />

commercially in the 1970s until the 1980s. Since the end <strong>of</strong> the 1980s research <strong>and</strong><br />

development on VAWTs has virtually ceased in most countries, apart from Canada (see<br />

Gasch 2002, Walker <strong>and</strong> Jenkins 1997, Divone 1998).<br />

Large HAWTs<br />

The HAWT type is currently dominant in all large-scale applications for extracting<br />

power from the wind <strong>and</strong> seems likely to remain so. The very large HAWT, Figure<br />

10.4a, operating at Barrax, Spain, is 104m in diameter <strong>and</strong> can generate 3.6MW.<br />

Basically, a HAWT comprises a nacelle mounted on top <strong>of</strong> a high tower, containing a<br />

generator <strong>and</strong>, usually, a gearbox to which the rotor is attached. Increasing numbers <strong>of</strong><br />

wind turbines do not have gearboxes but use a direct drive. A powered yaw system is<br />

used to turn the turbine so that it faces into the wind. Sensors monitor the wind direction<br />

<strong>and</strong> the nacelle is turned according to some integrated average wind direction. The<br />

number <strong>of</strong> rotor blades employed depends on the purpose <strong>of</strong> the wind turbine. As a<br />

rule, two or three bladed rotors are used for the generation <strong>of</strong> electricity. Wind turbines<br />

with only two or three blades have a high tip–speed ratio but only a low starting torque<br />

<strong>and</strong> may even require assistance at startup to bring it into the useful power producing

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