以快速傅立葉轉換建立建築耗能預測模型

Modelling Building Energy Consumption via Fast Fourier Transform

周思維(Sz-Wei Chou)

指導教授 ： 蔡尤溪

國立臺北科技大學/機電學院/能源與冷凍空調工程系碩士班/碩士(2013年)

https://doi.org/10.6841/NTUT.2013.00609

摘要

本論文以快速傅立葉轉換作為研究工具，分析對象為影響建築耗能的各項參數，將各項參數由時域轉換為頻域，成功地分析出各項參數具備的週期性以及頻譜圖，以找出各種頻率的振幅以及相位值，藉此建立週期性參數的模型，並且歸納出建築尖峰耗能的運轉週期。
透過傅立葉轉換，處於時域的資料能夠轉換為頻域的資料，各項參數皆可以表示為多組的弦波疊加而成，而各個弦波都有屬於該弦波的頻率、振幅以及相位值，如此便能夠分析出週期性參數的相互關聯，並且建立該參數的預測模型。
本論文以決定係數(R2)值判斷模型的準確率，並且採用實際建築作為案例，利用eQUEST建築耗能模擬軟體建立3D立體模型，以輸出全年度的逐時資料，作為分析參數準確率的判斷依據，結果顯示無論是天氣資料、建築熱負荷或是建築耗能…等參數，R2值皆高達九成九以上。

關鍵字

傅立葉轉換 ； 快速傅立葉轉換 ； 建築能源 ； 建築耗能預測模型

並列摘要

The Fast Fourier Transform was applied in this thesis. Various parameters that have impact to building energy were used in the analysis. Energy use data were transformed from time domain into frequency domain. This thesis successful developed the periodicity and the spectrum of various parameters. The amplitude and the phase of variety frequencies were determined in the study. The periodic parameter model was built by conducting analysis on the building energy computation results. The periodicity of building peak energy demand was also discussed.
Through the Fast Fourier Transform, data could be transform form time domain into frequency domain. Therefore the time variation of the parameters can be simulated by recombination of sinusoidal functions. Each sinusoidal function has its own frequency, amplitude and phase. The correlations between various parameters were determined and the parameters were also modeled mathematically.
In order to acquire annual hourly building energy data, eQUEST (the QUick Energy Simulation Tool) was applied to build a 3D model for an actual building case. The annual hourly energy data was used to verify the validity of Fast Fourier Transform model. Coefficient of determination (R2) was used to evaluate the validity of the models. The Fast Fourier Transform models including weather conditions, building thermal load, and energy consumption. R2 of the models were found to be higher than 99%.

並列關鍵字

Fourier Transform ； Fast Fourier Transform ； Building Energy ； Building Energy Consumption Prediction

參考文獻

[7] 張寅祺，外氣需量控制用於空調節能之研究，碩士論文，國立臺北科技大學能源與冷凍空調工程研究所，臺北，2008年。

[8] 彭柏翰，多功能大型空間空調外氣需量控制策略，碩士論文，國立臺北科技大學能源與冷凍空調工程研究所，臺北，2010年。

[2] BP Statistical Review of World Energy June 2012: http://www.bp.com/statisticalreview

[3] CO2 Now Organization: http://co2now.org/

[9] 葉清華，以效率區分法作為多台空調主機控制策略分析，碩士論文，國立臺北科技大學能源與冷凍空調工程研究所，臺北，2010年。