I have a series of datasets which I need to interpolate, I did this once in uni but that was a long time ago. I could use any pointers I can get.
So I have put the data up here in the hope that someone might be able to explain to me how I may resolve this. I realise that by posting my data here someone might do the interpolation for me and suck all the fun out of the exercise but I suppose this is a risk I am willing to take (wink, wink)
The data represents the "Power Curve" of some wind turbines, and is given by the respective manufacturers. A continuous function to represent this data would allow us to compute the power output for a given windspeed and vica-versa. In each case x represents wind speed measured in m/s and y represents power in kW. Leading to something like this:
Series 1 Series 2 Series 3 Series 4 Series 5 x y x y x y x y x y 0 0 0 0 0 0 0 0 0 0 1 0 2.5 0 1 0 1.5 0 1 0 2 2 3.5 22 2 0 2.5 0 2 2 3 18 4.5 62 3 1,5 3.5 23 3 18 4 56 5.5 120 4 17 4.5 78 4 56 5 127 6.5 195 5 44,5 5.5 160 5 127 6 240 7.5 298 6 72 6.5 285 6 240 7 400 8.5 443 7 123,7 7.5 456 7 400 8 626 9.5 614 8 197 8.5 679 8 626 9 892 10.5 792 9 277 9.5 953 9 892 10 1223 11.5 962 10 364 10.5 1255 10 1223 11 1590 12.5 1093 11 445 11.5 1543 11 1590 12 1830 13.5 1190 12 533 12.5 1638 12 1900 13 1950 14.5 1253 13 583 13.5 1670 13 2310 14 2050 15.5 1284 14 618 14.5 1670 14 2310 15 2050 16.5 1298 15 620 15.5 1670 15 2310 16 2050 17.5 1295 16 618 16.5 1670 16 2310 17 2050 18.5 1276 17 580 17.5 1670 17 2310 18 2050 19.5 1245 18.5 1670 18 2310 19 2050 20.5 1211 19.5 1670 19 2310 20 2050 21.5 1174 20.5 1670 20 2310 21 2050 22.5 1148 21.5 1670 21 2310 22 2050 23.5 1128 22.5 1670 22 2310 23 2050 24.5 1118 23.5 1670 23 2310 24 2050 24.5 1670 24 2310 25 2050 24.5 1670 25 2310