Mathematics and Statistics Seminar
When:
—
Venue:
Birkbeck Main Building, Malet Street
No booking required
We consider the problem of forward uncertainty propagation for the converging beam triple LIDAR technology, used for measuring wind velocity passing through a fixed point in space (which is of relevance for the appropriate operation of wind turbines). Converging beam Triple LIDAR employs the use of three non-parallel, non-coplanar, laser beams which are directed from a fixed platform, typically at ground level, that extend to meet at some point in space. Coordinate values of the velocity are ascertained with respect to unit vectors along the laser beam lines of sight (Doppler vectors), which are then resolved in order to recover an estimate of velocity in Cartesian coordinates. Any statistical imprecision within the input variables will lead to similar with respect to the estimated Cartesian velocity vector. We show that for a number of reasonable metrics that quantify output uncertainty, their size is inversely proportional to the volume of a parallelepiped of unit edge length, delineated by the Doppler LIDAR configuration and also discuss how to numerically compute these metrics (some of which involve a nonlinear constrained optimization problem).
Joint work with Theo Holtom of Wind Farm Analytics Ltd (http://www.wind-farm-analytics.com/wp/news/).
Contact name:
Swati Chandna