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研究生: 游振利
論文名稱: 利用隨機模型訂定電力之最佳契約容量
Determining the Optimal Contract Capacity of Electric Power Based on Stochastic Modeling
指導教授: 洪英超
學位類別: 碩士
Master
系所名稱: 商學院 - 統計學系
Department of Statistics
論文出版年: 2015
畢業學年度: 103
語文別: 中文
論文頁數: 28
中文關鍵詞: 具飄移項之布朗運動Ljung-Box檢定Kolmogorov-Smirnov檢定電力契約容量最佳化
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  • 由於商業、工業和民生各方面大量的用電需求,使得電費在某些季節會特別昂貴。又因為電力的生產和儲存都有限,故電力公司為了能更有效率的分配總電力,要求消費者事先訂定各自用戶的契約容量,做為每個月分配電力的最大標準。對於消費者而言,相較於較高的契約容量,選取較低的契約容量通常負擔的基本電費也較低,但是當用電量超過契約容量時則必須支付高額罰金。因此消費者為了盡可能使長期的用電消費降低,選擇一個合適且最佳的契約容量是很重要的課題。在本文中以隨機模型”具飄移項之布朗運動”作為分析用電量趨勢的模型,並介紹如何做模型的驗證以及參數的估計,接著建構出總電費的期望值估計式以尋找最佳的契約容量。最後,以政治大學的實際用電量資料作為本文的研究實例,並提出選擇契約容量之建議方針。


    第一章 導論 1
    第二章 布朗運動之參數估計與模型檢定 3
    第一節 布朗運動模型(BROWNIAN MOTION) 3
    第二節 具飄移項的布朗運動模型(BROWNIAN MOTION WITH DRIFT) 5
    第三節 具飄移項布朗運動模型之參數估計 6
    第四節 布朗運動模型之驗證 7
    第三章 訂定電力最佳契約容量問題 10
    第一節 最佳化問題描述 10
    第二節 以布朗運動模型擬定最佳策略 12
    第四章 實例研究 19
    第五章 總結與討論 25
    參考文獻 27

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