广西水利水电
廣西水利水電
엄서수이수전
GX WATER RESOURCES & HYDROPOWER ENGINEERING
2012年
6期
1-3
,共3页
水库%容积曲线%面积曲线%3次样条函数
水庫%容積麯線%麵積麯線%3次樣條函數
수고%용적곡선%면적곡선%3차양조함수
Reservoir%volume curve%area curve%3-spline function
介绍直接利用水库容积曲线反推水库面积曲线的方法——CAD 切线法和3次样条函数求导法:首先利用CAD技术和各个水位的水库容积数据画出水库容积曲线,基于此容积曲线,测算出各个水位节点切线的斜率,即水库面积数值;然后,采用3次样条函数求导法求对应水位的水库面积:(1)检查水库容积曲线的合理性;(2)利用3次样条函数逼近水库容积曲线;(3)对该3次样条函数任意点求导,即得对应水位的水库面积.并以实例介绍其具体应用.
介紹直接利用水庫容積麯線反推水庫麵積麯線的方法——CAD 切線法和3次樣條函數求導法:首先利用CAD技術和各箇水位的水庫容積數據畫齣水庫容積麯線,基于此容積麯線,測算齣各箇水位節點切線的斜率,即水庫麵積數值;然後,採用3次樣條函數求導法求對應水位的水庫麵積:(1)檢查水庫容積麯線的閤理性;(2)利用3次樣條函數逼近水庫容積麯線;(3)對該3次樣條函數任意點求導,即得對應水位的水庫麵積.併以實例介紹其具體應用.
개소직접이용수고용적곡선반추수고면적곡선적방법——CAD 절선법화3차양조함수구도법:수선이용CAD기술화각개수위적수고용적수거화출수고용적곡선,기우차용적곡선,측산출각개수위절점절선적사솔,즉수고면적수치;연후,채용3차양조함수구도법구대응수위적수고면적:(1)검사수고용적곡선적합이성;(2)이용3차양조함수핍근수고용적곡선;(3)대해3차양조함수임의점구도,즉득대응수위적수고면적.병이실례개소기구체응용.
An introduction was made on the method of calculating reservoir area curve by use of reservoir volume curve, incorporating CAD tangent method and 3-spline function derivation method. First, reservoir volume curve was calculated with CAD technology and the reservoir volume data corresponding to various water levels. Second, the slopes of tangent at various water levels, i.e. the reservoir area values are calculated based on this volume curve. Then, reservoir area at different levels are calculated by 3-spline function derivation method, including check of the rationality of reservoir area curve; approaching the reservoir volume curve by use of 3-spline function; derivative of the 3-spline function at any point to acquire the reservoir area at corresponding level. The method was also intro?duced combined with an actual application example.
