埃特金迭代法在骨干坝调洪演算中的应用
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摘要
列表试算是调洪演算最常用的方法,试算时采用埃特金加速迭代法进行计算,不需要求解导数,适合利用集成于Excel与AutoCAD中的VBA编制计算程序,从Excel VBA中直接调用AutoCAD数据并生成水位—库容关系曲线图,在埃特金加速迭代过程中,程序自动查算AutoCAD中的水位—库容关系曲线图,避免了曲线插值和传统手工查图造成的误差。该方法既简便易懂,又提高了计算精度,是骨干坝调洪演算的可行途径。通过实例对比分析,列表采用埃特金加速迭代法和简化三角形法,两者计算结果基本一致。
List of trial is the most commonly used method for flood regulating calculation. When we make a trial,we often use Aitken acceler-ated iterative method to calculate but not the derivative. It is suitable for using integrated in Excel and AutoCAD VBA program. In Excel VBAin use of AutoCAD generate water capacity curve graph. In the process of Aitken accelerated iterative procedure,the program automaticallychecks the storage capacity curve. The method reduces the error of curve interpolation and traditional manual reading. This method is simpleand easy to understand,and improves the accuracy of calculation. It is a feasible way to adjust the flood routing of the key dam.Through thecomparative analysis of examples,calculation results by the list using Aitken acceleration iteration method and the simplified triangle methodare basically the same.
List of trial is the most commonly used method for flood regulating calculation. When we make a trial,we often use Aitken acceler-ated iterative method to calculate but not the derivative. It is suitable for using integrated in Excel and AutoCAD VBA program. In Excel VBAin use of AutoCAD generate water capacity curve graph. In the process of Aitken accelerated iterative procedure,the program automaticallychecks the storage capacity curve. The method reduces the error of curve interpolation and traditional manual reading. This method is simpleand easy to understand,and improves the accuracy of calculation. It is a feasible way to adjust the flood routing of the key dam.Through thecomparative analysis of examples,calculation results by the list using Aitken acceleration iteration method and the simplified triangle methodare basically the same.
引文
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[16]鄂尔多斯市水土保持勘测规划队,鄂尔多斯市水利勘测设计院.黄土高原地区水土保持淤地坝建设内蒙古自治区东胜区茶店梁小流域坝系工程可行性研究[R].东胜:鄂尔多斯市水土保持勘测规划队,2004:1-56.
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[18]卢生亮.混联骨干坝系统续建溢洪道调洪演算[J].人民黄河,2015,37(9):45-48.
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[20]孙赞盈,魏军,田世民,等.水库调洪演算新方法[J].人民黄河,2010,32(12):47-48.
[2]范瑞瑜,蒋钢,冯九梁,等.黄土高原坝系生态工程[M].郑州:黄河水利出版社,2004:117.
[3]王礼先.水土保持工程学[M].北京:中国林业出版社,2000:183.
[4]朱岐武,拜存有.水文与水利水电规划[M].郑州:黄河水利出版社,2003:203-213.
[5]中华人民共和国水利部.水土保持治沟骨干工程技术规范:SL289—2003[S].北京:中国水利水电出版社,2003:16-18,29-30.
[6]叶秉如.水利计算与水资源规划[M].北京:水利电力出版社,1995:92-93.
[7]颜婷莉,钟平安,刘伟莉.水库调洪演算方法比较与改进[J].水力发电,2007,33(3):26-28.
[8]陈树勋,王素暖.一种新型线性化迭代算法及其在结构优化准则方程组求解中的应用[J].工程设计学报,2005,12(5):270-272,287.
[9]RAMANI S Pilla,SAGAR V Kamarthiy,BRUCE G Lindsayz.Aitken-Based Acceleration Methods for Assessing Convergence of Multilayer Neural Networks[J].IEEE Transactions on Neural Networks,2001,12(5):998-1012.
[10]熊世春,阿不都热西提.讨论埃特金加速法的收敛性[J].新疆大学学报(自然科学版),2005,22(4):412-415.
[11]徐赐军,韩幸.埃特金算法在改进虚功准则法中的应用[J].机械设计与制造,2014(12):255-257.
[12]王英顺,宋慧斌,蒋钢,等.淤地坝防洪保收技术[M].郑州:黄河水利出版社,1997:57-58.
[13]吴持恭.水力学[M].北京:高等教育出版社,2008:324-325.
[14]高新科,朝伦巴根.计算机数值方法[M].北京:水利电力出版社,1994:64,101-102.
[15]雷静思,郭纯青.VB程序与Excel结合在水库调洪演算中的应用[J].广西水利水电,2015(4):48-51.
[16]鄂尔多斯市水土保持勘测规划队,鄂尔多斯市水利勘测设计院.黄土高原地区水土保持淤地坝建设内蒙古自治区东胜区茶店梁小流域坝系工程可行性研究[R].东胜:鄂尔多斯市水土保持勘测规划队,2004:1-56.
[17]鄂尔多斯市水利勘测设计院,鄂尔多斯市大为勘测设计有限责任公司.黄土高原地区淤地坝建设内蒙古自治区鄂尔多斯市东胜区项目区茶店梁小流域坝系工程6号骨干工程扩大初步设计[R].东胜:鄂尔多斯市大为勘测设计有限责任公司,2005:1-28.
[18]卢生亮.混联骨干坝系统续建溢洪道调洪演算[J].人民黄河,2015,37(9):45-48.
[19]周月鲁,薛顺康,梁其春,等.水土保持治沟骨干坝工程设计技术[M].郑州:黄河水利出版社,2002:26-27.
[20]孙赞盈,魏军,田世民,等.水库调洪演算新方法[J].人民黄河,2010,32(12):47-48.