Michener 1 Nathaniel Michener EK131 Wind Energy, Prof. Grace Museum of Science Data Analysis Project 10/1/12 The Boston Museum of Science plays host to a number of wind turbines of varying types. They are all small and offer the potential for a small business or home user to use them. This report discusses data made available by the Museum regarding the performance of the Skystream 3.7 model, built by Southwest Windpower. The data covers a 2-month period from January 1, 2010 to February 26, 2010. Data was recorded every 10 minutes regarding minimum, maximum, and average wind speed, output power, and wind direction. Statistics on the Skystream turbine, as well as the “POWER” graph, are taken from Southwest Windpower’s brochure about their product and information made available by the Museum of Science about their wind turbine projects. Michener 2 Average Wind Speed vs. Time of Day 16.000 14.000 Avg Wind Speed in m/s 12.000 10.000 8.000 Skystream Avg Wind Speed 6.000 4.000 2.000 0.000 0 5 10 15 Time of Day in Hours 20 25 Michener 3 Histogram of Average Wind Speed, 1/1 - 2/26 2500 Number of Instances 2000 1500 Skystream Avg Wind Speed 1000 500 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Wind Speed in m/s When examining the scatterplot of Average Wind Speed vs. Time of Day, it is hard to see any trends for the Museum of Science’s testing period of January 1 to February 26, 2010. There seems to be little variance in the wind speeds, but when looked at as a whole, the scatter plot shows a higher density of wind speed measurements at certain times of the day. Generally speaking, the morning hours from around 3AM to 8AM experienced the lowest speeds (under 4 meters per second), while the higher speeds were recorded in the afternoon, from 12PM to 4PM, with many speeds between 2 meters per second and 6 meters per second. The evening experienced a reduction in wind speeds to back under 4 meters per second. The histogram of this data reflects these conclusions; most average wind speeds were close to 3 meters per second, and almost none were over 7 meters per second. Michener 4 Max Wind Speed vs. Time of Day 30 25 Max Wind Speed in m/s 20 15 Skystream Max Wind Speed 10 5 0 0 5 10 15 Time of Day in Hours 20 25 Michener 5 Histogram of Max Wind Speed, 1/1 - 2/26 3000 2500 Number of Instances 2000 1500 Skystream Max Wind Speed 1000 500 0 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 Wind Speed in m/s The Max Wind Speed graph reflects very similar trends; the maximum speeds of around 10 meters per second were centered around the midday hours, while the lower times were during the morning and late night hours. The histogram of maximum wind speed is curious because the turbine’s power is rated at 11 m/s, but that speed is hardly ever reached. Most maximum speeds did not reach past 6 or 8 m/s. Michener 6 Wind Direction vs. Time of Day 400 350 Wind Direction in Degrees from North 300 250 200 Skystream Wind Direction 150 100 50 0 0 5 10 15 Time of Day in Hours 20 25 Michener 7 Histogram of Wind Direction, 1/1 - 2/26 1600 1400 Number of Instances 1200 1000 800 Skystream Wind Direction 600 400 200 0 0 30 60 90 120 150 180 210 240 270 300 330 360 Wind Direction in Degrees from North (Read "30" as "0 to 30") The Wind Direction scatter plot is more difficult to interpret. The points are very scattered, but again the density of points can show that the wind directions were generally between 150 and 250 degrees from north. The histogram is a much better model of the data, since there is hardly any noticeable change in the wind direction data based on the time of day. Predominantly, the winds came from a southerly or southwesterly direction, with another spike in the graph from the northeast. While the turbines are set rather low to be affected by prevailing winds, the placement of the museum close to the river and ocean could expose it to shore-based winds. Michener 8 Average Power vs. Average Wind Speed 2500 Average Power in Watts 2000 1500 Skystream Avg Power 1000 500 0 0.000 2.000 4.000 6.000 8.000 10.000 12.000 14.000 16.000 Average Wind Speed in m/s The Average Power vs. Average Wind Speed also tells a perplexing story. The Skystream turbine’s manufacturer rates its cut-in speed at 3.0 m/s, but in some cases the average wind speed reached 6 or even 8 m/s while the turbine’s power was zero. Likewise, the turbine sometimes generated electricity while the average wind speed did not reach the rated cut-in value. This makes sense (perhaps the wind at times reached cut-in speed even the average value for the 10-minute interval was below cut-in). However, the first situation is less easily explained. If the average value of the wind speed for the time interval was above cut-in speed, then electricity should have been generated. This could be explained by maintenance down-time, or perhaps the cut-in speed value is not cut-and-dry. Michener 9 Michener 10 Power vs. Wind Speed 4000 3500 3000 Power in Watts 2500 2000 Skystream Avg Power vs. Avg Wind Speed Skystream Max Power vs. Max Wind Speed 1500 1000 500 0 0.000 5.000 10.000 15.000 20.000 25.000 30.000 Wind Speed in m/s Finally, the graphed power curves compared with the company’s power curves show that the turbine’s performance is, if anything, better than expected. The curve of Average Power vs. Average Wind Speed almost exactly matches the company’s curve, and the Max Power vs. Max Wind Speed curve shows that the turbine can reach up to 500 watts over its expected performance levels. Michener 11 During the 2-month testing period, the Museum of Science’s turbine generated about 224.42 kWh of electricity. Compared to the home energy audits conducted at the beginning of the course, this would be about enough to power my home for 1/3 of a month (or, for example’s sake, a refrigerator for 7 ½ months). 17% overall power coverage seems fairly effective, but could take an extremely long time to cover the $10,000 price tag. It also does not come close to matching the predicted 40-90% coverage. Thus, the Skystream is only marginally effective in the relatively low-wind setting that the Museum of Science has it set up in.