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基于擬牛頓法的連鑄結晶器熱傳導反問(wèn)題求解
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(1.西藏民族學(xué)院 信息工程學(xué)院,陜西 咸陽(yáng) 712082;2.河南工業(yè)職業(yè)技術(shù)學(xué)院,河南 南陽(yáng) 473000 )

作者簡(jiǎn)介:

李 鵬(1982),男,陜西西安人,碩士,實(shí)驗師,主要從事電路與系統、通信系統設計方向的研究。[FQ)]

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西藏自治區科技廳項目(12KJZRYMY07)。


Continuous Casting Mold Heat Conduction Inverse Problem Based on Quasi-Newton Method
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(1.Tibet University For Nationalities, Xianyang 712082, China;2.Henan Polytechnic Institute, Nanyang 473000,China)

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    摘要:

    在實(shí)際的工業(yè)過(guò)程中,熱傳導反問(wèn)題廣泛的存在于各個(gè)應用領(lǐng)域;由于連鑄的生產(chǎn)環(huán)境惡劣,給連鑄鋼坯的測溫造成了很大的困難,導致連鑄結晶器熱傳導反問(wèn)題的求解是很困難的;在研究了熱傳導反演算法的基礎上,基于連鑄結晶器的有限的測量點(diǎn),通過(guò)熱傳導反演算法可以求出結晶器的熱流密度,給連鑄的優(yōu)化和控制提供依據;在建立了連鑄熱傳導反問(wèn)題模型的基礎上,提出了基于擬牛頓法的連鑄結晶器熱傳導反問(wèn)題求解的改進(jìn)算法,該算法可以有效的利用當前搜索過(guò)程中的信息,通過(guò)近似目標函數的二階導數來(lái)加快算法的搜索效率,采用了Wolf步長(cháng)選擇規則克服了算法收斂速率慢的缺點(diǎn),并且該算法無(wú)需計算Hessen矩陣,能夠有效降低計算的復雜度;實(shí)驗結果表明該算法能夠快速有效的求解該問(wèn)題;該方法用于連鑄結晶器熱傳導反問(wèn)題是可行的、有效的。

    Abstract:

    In the actual industrial process, the inverse problem exists in a wide range of thermal conductivity of various application fields. Due to the harsh environment of continuous casting production to continuous casting billet temperature caused great difficulties, resulting in continuous casting mold inverse heat conduction problem is difficult to solve. On the basis of studies on the thermal conductivity inversion algorithm, based on limited measurement points continuous casting mold by thermal conduction heat flux density inversion algorithm can find the mold, to casting optimization and control to provide evidence. On the basis of the establishment of a continuous casting inverse heat conduction problem model, based on the inverse problem raised conduction heat casting mold quasi-Newton method for solving the improved algorithm can effectively use the information in the current search process, through the approximation of the objective function second derivative to speed up the search efficiency of the algorithm, using a step size selection rules Wolf overcomes the disadvantages of the slow convergence rate and the algorithm without calculating Hessen matrix, can effectively reduce the complexity of calculation. Experimental results show that the algorithm can quickly and effectively solve the problem. The method for solving continuous casting mold inverse heat conduction problem is feasible and effective.

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李鵬,劉春茂.基于擬牛頓法的連鑄結晶器熱傳導反問(wèn)題求解計算機測量與控制[J].,2015,23(5):1776-1779.

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  • 在線(xiàn)發(fā)布日期: 2015-07-31
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