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Using Fourier Series to Model Hourly Energy Use in Commercial Buildings
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Fourier series analysis is eminently suitable for modeling strongly periodic data. Weather independent energy use such as lighting and equipment load in commercial buildings is strongly periodic and is thus appropriate for Fourier series treatment. Weather dependent energy use such as cooling energy use and heating energy use is dependent both on internal load and weather variables. Both the driving forces have strong periodicity and consequently, weather dependent energy use is equally suitable for Fourier series analysis.
DescriptionThe procedure for modeling hourly energy use has two steps. Mean daily energy use is different during working weekdays, working weekends, holidays and Christmas due to major change in mode of operation or scheduling. The first step is to do Day-typing to remove such effects. The second step is to develop Fourier series model using the forward selection procedure of Statistical Analysis System (SAS) program. While the model for weather independent energy use is developed from a Fourier series with the hour of the day as the independent variable, the model for weather dependent energy use is developed from a set of variables that has both Fourier frequencies and products of Fourier frequencies and weather variables, e.g., ambient temperature, out door specific humidity and horizontal solar flux.
SubjectFourier series analysis
Dhar, A.; Reddy, T. A.; Claridge, D. E. (1993). Using Fourier Series to Model Hourly Energy Use in Commercial Buildings. Energy Systems Laboratory (http://esl.tamu.edu), Texas A&M University; Department of Mechanical Engineering, Texas A&M University. Available electronically from