Timothy John Beaulieu created this post
Average Value of weighted functions
This project applies a lot of integration techniques:
Using the mathematics discussed in class: finding average value of a function with probabilistic inputs. You are to come up with an extension to the wind the wind turbine problem done in class. You may either find wind data for a new site or find a new power curve . Or you might look for data for other kinds of energy production. Weighted functions are not unique to power generation though. The average of any function, f, with probabilistic input , pdf p, is
If input cannot be found as a probability, (if the area under the input curve is not 1), then w(t) is a weight, and we calculate the average as
MIT Open Course has a tutorial on general weighted functions with a “non-power” related application. Other applications can be found in center of mass and mean phenotype as a result of artificial selection.
You may work in groups to research your idea if you have a partner with similar interests, but each person must write their own report with their own scientific questions. Your idea with some preliminary background research is due as a ppt next class. If you are working in a group, each member’s subproject should be clear. The class will discuss and critique and the each member will write his/her scope of work as a lab report due the Wednesday after break.
HW Part & Action plan 13% (10 points)
(Present in ppt form to class Wed before break, needs references, detailed data)
Lab report draft due Sunday (to peer) Wednesday after break 20% (12 points)
Peer review feedback due Friday, Plan for revision due Sunday 17% (8 points)
Lab report, due following Friday 50% (30 points)
Distribution Curve To fit a distribution curve, you may need this JMP tutorial
Power Curve For these curves, you may need this JMP tutorial
Meaning and significance
The lab research report will be graded using the Center for Biodiversity Research report rubric.