CREATING ZONING APPROXIMATIONS TO BUILDING ENERGY MODELS USING THE KOOPMAN OPERATOR
Michael Georgescu, Bryan Eisenhower, Igor Mezi
As the scope of building construction increases and de- signs become more integrated, building energy models have found widespread use in evaluating building per- formance. Despite the growing sophistication of build- ing modelling tools, errors can arise from the approxima- tions that are made during model creation. This paper ad- dresses model zoning, i.e., how the volume of a building is divided into regions where properties are assumed to be uniform. Zoning is important during the creation of a model because the accuracy of prediction from simu- lating a model reduces when dissimilar zones are lumped together. In this paper, a systematic approach to creat- ing zoning approximations is introduced to investigate the effect of zoning on simulation accuracy. Applying the Koopman operator, an infinite-dimensional, linear oper- ator that captures nonlinear, finite-dimensional dynamics without linearization, a detailed building model is stud- ied. Using the Koopman operator, the temperature history of rooms produced by a building simulation can be de- composed into Koopman modes. These modes identify dynamically significant behavior which will form a basis for the creation of zoning approximations. An implemen- tation of this technique is illustrated in a building model of an actual building designed with both mechanical and natural conditioning.
- There are currently no refbacks.