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研究生: 邱志強
CHIH-CHIANG CHIU
論文名稱: 創新灰預測修正模式之開發與其在工程防洪應用之研究
Study on Novel Grey Prediction Modified Model in Flood Control
指導教授: 林耀煌
Yong-Huang Lin
口試委員: 呂守陞
Sou-Sen Leu
陳伸賢
Shen-Hsien Chen
徐年盛
Nien-Sheng Hsu
廖朝軒
Chao-hsien Liaw
學位類別: 博士
Doctor
系所名稱: 工程學院 - 營建工程系
Department of Civil and Construction Engineering
論文出版年: 2012
畢業學年度: 100
語文別: 中文
論文頁數: 117
中文關鍵詞: 創新灰預測修正模式動態指數模糊理論工程防洪
外文關鍵詞: modification of novel grey prediction model, dyn
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由於目前地球暖化,致使氣候變遷加劇使得降雨強度增大,降雨時間延長等極端事件發生頻率上升,造成平均日暴雨量增加,排水系統無法負荷等問題,更增加了降雨預測技術的挑戰.總觀臺灣地區在降雨強度逐年增加且集中之情況下,帶來重大的災害影響,導致最大日降雨量,颱風時降雨量以及水庫入流量超乎警戒值等;另外,降雨量與流量之增加,超出公共排水設施的原有設計負荷而導致淹水情事.因此,建構一套高精度,即時的降雨預測模型,精準且及時的預測降雨量,為現階段工程防洪所需依據之重要課題.
有鑑於此,本研究擬用灰色系統的特性並依據2007年[林耀煌]提出的創新灰預測模式為基礎,提出創新灰預測修正模式.創新灰預測模式對時間序列在極端值預測及延遲預測方面較傳統灰色模式有明顯的成效,惟對時間序列中大於二倍標準差以上的極端值之預測,在預測精度及時間上仍有待改善.本研究擬提出二種修正方法,第一以動態指數法與創新灰預測模式建構動態灰預測修正模式,第二用創新灰預測模式結合模糊隸屬函數建構模糊灰預測修正模式,分別改進時間序列平滑度與改進波動過大類型之極端值預測,亦將與倒傳遞類神經網路,時間序列方法(ARIMA)進行比對與分析,並透過每年最大日降雨量,颱風的時降雨量與水庫入流量之預測,驗證本研究成果的合理性.


The current global warming has led to dramatic climate changes, such as increased intensity and prolonged time of rainfall, resulting in problems of increased average daily rainfall and overloading of the drainage system. This has increased difficulty in resulted in challenges to rainfall prediction technology. In overview, the rainfall intensity has been increasingly and becoming more concentrated in Taiwan in recent years, posing great impact of major disasters as the maximum daily rainfall, rainfall in typhoon and water reservoir inflow are all above the warning values. In addition, the increase in rainfall and flow beyond the original design loads of the public drainage facilities has caused floods. Hence, building a high precision, real- time rainfall prediction model to accurately and timely predict rainfall has become an important topic for flood control at the present stage.
This study attempts to use the grey system characteristics, along with the innovative grey prediction model proposed by Lin (2007), as the basis to propose the modification of novel grey prediction model. The novel grey prediction model is apparently more effective than traditional grey models in terms of prediction of the extreme values and delays of time series. However, it needs improvement in prediction precision and time in case of the prediction of the extreme values above two standard deviations in the time series. This study plans to propose two modification methods: the first is to use the dynamic index method and the innovative grey prediction model to build the modified dynamic grey prediction model; the second method is to combine the innovative grey prediction model with the fuzzy membership function to construct the fuzzy grey prediction modification model to improve the time sequence smoothness and prediction of extreme values with overly large fluctuations. In addition, the methods will be compared with the ANN and ARIMA for matching and analysis. The rationality of the research findings will be verified by the prediction of the annual maximum daily rainfall, the hourly rainfall in typhoon and the reservoir inflow amount.

目 錄 中文摘要 I ABSTRACT II 致 謝 III 目 錄 IV 圖目錄 VI 表目錄 VIII 第一章 緒論 1 1.1研究動機 1 1.2研究目的 2 1.3研究範圍 3 1.4研究方法 3 1.5研究架構 4 第二章 文獻回顧 7 2.1降雨及流量預測相關文獻 7 2.2灰色系統理論 9 2.3類神經理論 11 2.4模糊系統理論 13 2.5時間序列 14 第三章 灰色系統理論 16 3.1灰色系統簡介 16 3.2灰預測模式建立 17 3.2.1灰預測的功能分類 17 3.2.2灰生成 18 3.3灰預測模式分析與改善 19 3.3.2灰色模式GM(1,1)的性能改進 24 3.4創新灰預測模式 26 3.4.1背景值改善GMI(1,1) 26 3.4.2週期誤差修正FGMI(1,1) 30 3.4.3隨機誤差修正EGMI(1,1) 31 3.4.4創新灰預測模式EFGMI(1,1) 31 第四章 創新灰預測修正模式之建構 34 4.1創新灰預測模式EFGMI(1,1) 在最大日降雨量之應用 36 4.1.1案例背景說明 36 4.1.2案例分析 38 4.1.3評比方式 43 4.1.4小結 46 4.2創新灰預測模式在颱風降雨量及水庫旬入流量之應用 48 4.2.1驗證案例分析 48 4.2.2小結 50 4.3創新灰預測修正模式 51 4.3.1動態灰預測修正模式DEFGMI(1,1) 51 4.3.2模糊灰預測修正模式FEFGMI(1,1) 53 第五章 創新灰預測修正模式案例應用 57 5.1動態灰預測修正模式DEFGMI(1,1)在颱風時降雨量之應用 59 5.1.1案例背景說明 59 5.1.2案例分析 61 5.1.3評比方式 73 5.1.4小結 77 5.2模糊灰預測修正模式FEFGMI(1,1)在水庫旬入流量之應用 78 5.2.1案例背景說明 78 5.2.2案例分析 80 5.2.3評比方式 97 5.2.4小結 99 第六章 結論與建議 100 6.1結論 100 6.2灰預測修正模式之應用流程 104 6.3建議 106 參考文獻 108 作者簡介 116

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