Errors Produced by Proper Orthogonal Decomposition-Based Spectral Representation Method in Wind Velocity Field Simulation
HU Liang1;GU Ming1; LI Li2
1. State Key Lab for Disaster Reduction in Civil Eng., Tongji Univ., Shanghai 200092; 2. School of Civil Eng. and Mech., Huazhong Univ. of Sci. and Tech., Wuhan 430074
Abstract：Abstract：This paper derived the bias errors and the stochastic errors produced by wind field simulation using the proper orthogonal decomposition (POD)-based spectral representation method. An N-point Gaussian wind field is considered by taking its simulation formulas into account. The temporal first- and second-order statistics of the simulated wind process, i.e., mean values, correlation functions, power spectral densities and standard deviations, are derived to be stochastic variables or processes. Mean values and standard deviations of these derived random variables or processes thus lead to the bias errors and the stochastic errors of the temporal sample statistics, respectively. Finally, these close-form solutions of the errors are validated by a numerical example.
2011, Vol. 30 
