Building energy models: Quantifying uncertainties due to stochastic processes

Energy efficient retrofits of existing buildings present an immediate and large opportunity to reduce the energy footprint of the built infrastructure, which consumes nearly 40% of primary energy consumption in the U.S. and worldwide. Whole building energy modeling and simulation tools are increasingly being used for detailed performance analysis and for evaluation of multiple retrofit design options. However, the models typically involve several hundreds of input parameters and processes (e.g. weather and occupancy schedules) that are uncertain in early stages of design, and are not fully understood until after retrofit installation and commissioning. We present tools for sensitivity analysis and uncertainty quantification of such building energy models that help designers understand the key drivers to energy consumption and estimate error bounds on predicted energy savings. The focus is on quantifying uncertainties due to stochastic processes, such as weather conditions and schedules of occupants, which are modeled using a Karhunen-Loève expansion.

[1]  Zheng O'Neill,et al.  A methodology for meta-model based optimization in building energy models , 2012 .

[2]  Ke Xu ASSESSING THE MINIMUM INSTRUMENTATION TO WELL TUNE EXISTING MEDIUM SIZED OFFICE BUILDING ENERGY MODELS , 2012 .

[3]  I. Sobol Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates , 2001 .

[4]  Kok-Kwang Phoon,et al.  Simulation of second-order processes using Karhunen–Loeve expansion , 2002 .

[5]  Yeonsook Heo,et al.  Calibration of building energy models for retrofit analysis under uncertainty , 2012 .

[6]  Robert Tibshirani,et al.  The Elements of Statistical Learning: Data Mining, Inference, and Prediction, 2nd Edition , 2001, Springer Series in Statistics.

[7]  Mark Frederick Hoemmen,et al.  An Overview of Trilinos , 2003 .

[8]  Harald Niederreiter,et al.  Random number generation and Quasi-Monte Carlo methods , 1992, CBMS-NSF regional conference series in applied mathematics.

[9]  W. J. Whiten,et al.  Computational investigations of low-discrepancy sequences , 1997, TOMS.

[10]  Frances Y. Kuo,et al.  Constructing Sobol Sequences with Better Two-Dimensional Projections , 2008, SIAM J. Sci. Comput..

[11]  Xiu Yang,et al.  Adaptive ANOVA decomposition of stochastic incompressible and compressible flows , 2012, J. Comput. Phys..

[12]  Stefano Tarantola,et al.  Estimating the approximation error when fixing unessential factors in global sensitivity analysis , 2007, Reliab. Eng. Syst. Saf..

[13]  H. Rabitz,et al.  High Dimensional Model Representations , 2001 .