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A website for discussions on wind turbine basic theory, mathematical analysis, wind tunnel testing, and test model building with emphasize on Darrieus rotor.

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Testing : Wind tunnel test intro | tunnel equipment | tunnel results, [pg2], [pg3] | tunnel conclude |
Multiple fans test intro | fan equipment | fan results, [pg2], [pg3], [pg4] | fan conclude

3. FAN TEST - RESULTS AND DISCUSSIONS
-> continued pg.3

3.5 Variation of performance with wind speed

The Cp and Ct curves for 3 fans at various fan speeds are shown in Graph 6 and 7 respectively. The ‘high’, ‘medium’, and ‘low’ fan speed settings created wind with average speed of 4.66, 4.03, and 3.66m/s respectively. For each fan speed, 4 sets of collected data were plotted together.


Graph 6: Ct vs. tsr for 3 fans at various fan speeds


Graph 7: Cp vs. tsr for 3 fans at various fan speeds

The graphs show that when the rotor was subjected to a higher wind speed, both the Cp and Ct curve ‘spread out’ to become much taller and slightly wider than the curves obtained from lower wind speeds. However, this behaviour was predicted from graphs with small distances between curves and considerable amount of data scatter so additional work will be needed to strengthen this claim.

The highest Cp, which is 6.7% only, was produced by the highest wind speed at the optimum tsr of 2.6. The optimum tsr for Cp seems to remain constant with wind speed but the Cp dropped to 4% at lowest wind speed. The maximum Ct occurred slightly earlier than maximum Cp at tsr of 2.4.

The rotor self-starting ability became weak under low wind speed as the Ct prior to the acceleration was very low and some even recorded negative values. However, the tsr where the rotor acceleration started to pick up seems to remain constant at around 1.3.

The maximum tsr, like the optimum tsr and ‘start accelerate’ tsr, remained quite constant at 3.25 regardless of the wind speed. This trend might not be true as the changes of Re number might be to small to notice any of the tsr change.


The increase of performance with the wind speed or Reynolds number can be attributed to the increase of airfoil’s lift to drag ratio with Reynolds number. This performance trend agrees with the streamtubes model result by Jesch and Walton (1976), which included the important variable Re, effects. Figure 1 shows the variation of Cp curves with Re number from Jesch and Walton result. These computed Cp curves did ‘spread out’ quite similar to the testing result but the validity of this model at high solidity with low tsr is questionable. In addition, the solidity, average Reynolds numbers, and type of airfoil are different.


Figure 1: Variation of Cp with Re number from Jesch and Walton result
(Jesch & Walton, 1980, pg. 332)


3.6 The influences of number of fans

The Cp and Ct curves for different number of fans but all at maximum fan speed are shown in Graph 8 and 9. The numbers of fans employed are 1, 2, and 3. These fans produced wind speed of 4.18, 4.39, and 4.46m/s with increasing number of fans. Each number of fans was tested for 4 times and plotted together.


Graph 8: Ct vs. tsr for different number of fans


Graph 9: Cp vs. tsr at different number of fans

The graphs clearly show that when subjected to a fewer number of fans with decreasing wind speed, both Ct and Cp curves ‘shifted toward lower tsr’ and ‘contracted to a narrower and shorter curves’. Although considerable amount of data scatter exists, this trend is quite clear as the distances between curves are very evident. It has to be noted that this trend is not result of the fan number alone but also include the effects of Re number unfortunately.

The optimum tsr and maximum Cp decreased with number of fans but the decrease in Cp is very probable caused by the accompanying decrease in wind speed. The optimum tsr decreased from 2.6 to 1.75 while the maximum Cp from 6.7% to 3.8%. The maximum Ct, which occurred earlier than Cp, also exhibited similar trend.

The rotor self-starting ability is probably the most noticeable changes observed during fan number testing. The rotor under single fan accelerated strongly through the normally slow starting period. Even the time needed for this rotor, which was under the lowest wind speed, to reach the maximum rpm was shortened. As expected, the graphs shows a high Ct value prior to acceleration for single fan even when it provided the lowest testing wind speed. In addition, the shifting of the curves brought the acceleration tsr earlier for lower number of fan.

The maximum tsr decreased from 3.3 to 2.6 with decreasing number of fans. The decrease is most prominent when the fan number was reduced to one.

The number of fans is definitely influencing the model performance in term of self-starting ability, optimum tsr, and maximum tsr. A casual observation of the rotor wake might explain the performance differences. The wake behind the rotor blew by single fan seemed to expanded more and moved slower while the 3 fans rotor wake seemed to be more restricted but moved faster. Another reason might be the area of coverage by these fans. The single fan only managed to cover an area not wider than the swept area while the 3 fans provided a wider band of uniform wind which cover more than 1.5 times of the swept area. Other possible reasons are the fans direction, gap between fans, and mixing of wind from fans. Whatever the reason is, extra precautions have to be made to ensure consistent result can be obtained if fan testing has to be used. Also, testing with more fans seems to be a much better choice as the area coverage will be wider which seems to resemble the testing condition in wind tunnel more.

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Last updated at November 6, 2002
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