An Optimized Sensing Arrangement in Wind Field Reconstruction Using CFD and POD

In a real wind farm, complex airflow conditions result in complexities of wind speed and direction, with possibly significant intermittency and fluctuations. This problem can be alleviated if the wind speed distribution over a wind farm is known in advance. In this article, a new method is proposed for real-time wind field reconstruction for large areas, based on the idea of a “virtual time”, i.e., a time span needed for an object to travel across a certain distance. The distribution of wind speed and direction can be acquired prior to its occurrence in the wind farm with refined spatial resolutions. A procedure is also developed to stabilize the solution process, and this stabilization leads to an optimal allocation of the wind speed sensors; this allocation is necessary for the efficient use of a limited number of sensors. The reconstruction algorithm has been substantially studied, and a mathematical quantity was correlated to the reconstruction error. This correlation enables us to obtain good reconstruction results by using the greedy algorithm we proposed in this study. Simulation and experimental results demonstrated the strong feasibility of successful reconstructions by our proposed algorithm. Moreover, the sensor optimization scheme not only reduces the error significantly but also improves the efficiency of sensor applications; this improvement should apply to a wide range of conditions.

[1]  Hongye Su,et al.  A fast-POD model for simulation and control of indoor thermal environment of buildings , 2013 .

[2]  H. I. Schlaberg,et al.  Wind Field Reconstruction Using Inverse Process With Optimal Sensor Placement , 2019, IEEE Transactions on Sustainable Energy.

[3]  Xiu Yang,et al.  POD-Based Constrained Sensor Placement and Field Reconstruction from Noisy Wind Measurements: A Perturbation Study , 2016 .

[4]  L. Sirovich Turbulence and the dynamics of coherent structures. I. Coherent structures , 1987 .

[5]  K. Willcox,et al.  Aerodynamic Data Reconstruction and Inverse Design Using Proper Orthogonal Decomposition , 2004 .

[6]  Martin Vetterli,et al.  Near-Optimal Sensor Placement for Linear Inverse Problems , 2013, IEEE Transactions on Signal Processing.

[7]  Liu Yu,et al.  The Ultra-short Term Prediction of Wind Power Based on Chaotic Time Series , 2012 .

[8]  Anton Kaifel,et al.  Minute-Scale Forecasting of Wind Power—Results from the Collaborative Workshop of IEA Wind Task 32 and 36 , 2019, Energies.

[9]  Jianzhou Wang,et al.  An analysis-forecast system for uncertainty modeling of wind speed: A case study of large-scale wind farms , 2018 .

[10]  Jennifer Annoni,et al.  Wind farm flow modeling using an input-output reduced-order model , 2016, 2016 American Control Conference (ACC).

[11]  K. S. Khan,et al.  Wind resource assessment using SODAR and meteorological mast – A case study of Pakistan , 2018 .

[12]  George Em Karniadakis,et al.  EOF‐based constrained sensor placement and field reconstruction from noisy ocean measurements: Application to Nantucket Sound , 2010 .

[13]  Yang Fu,et al.  Short-term wind power forecasts by a synthetical similar time series data mining method , 2018 .

[14]  David Schlipf,et al.  Wind field reconstruction from nacelle-mounted lidar short-range measurements , 2017 .