Sensor placement at the extrema of Proper Orthogonal Decomposition (POD) is efficient and leads to accurate reconstruction of the wind field from a limited number of measure- ments. In this paper we extend this approach of sensor placement and take into account measurement errors and detect possible malfunctioning sensors. We use the 48 hourly spa- tial wind field simulation data sets simulated using the Weather Research an Forecasting (WRF) model applied to the Maine Bay to evaluate the performances of our methods. Specifically, we use an exclusion disk strategy to distribute sensors when the extrema of POD modes are close. It turns out that this strategy can also reduce the error of recon- struction from noise measurements. Also, by a cross-validation technique, we successfully locate the malfunctioning sensors.
Revised: May 19, 2017 |
Published: January 1, 2016
Citation
Zhang Z., X. Yang, and G. Lin. 2016.POD-based Constrained Sensor Placement and Field Reconstruction from Noisy Wind Measurements.Mathematics 4, no. 2:26.PNNL-SA-114546.doi:10.3390/math4020026