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基于ECT圖像重建算法的多相流檢測研究
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國家自然科學基金項目(61571346,、61305041、61305040)和中央高校基本科研業(yè)務費專項資金項目(JB141305)


Multiphase Flow Detection Based on ECT Image Reconstruction Algorithm
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    摘要:

    由于電容層析成像(ECT)圖像重建的經(jīng)典算法Landweber迭代法具有半收斂性,從而限制了其在多相流檢測中的廣泛應用。為了解決這一問題,從數(shù)學角度對Landweber法的半收斂性進行分析證明,并找到其物理本質(zhì)原因,。通過構造壓縮算子提出一種全收斂的Landweber法,使得該方法具有穩(wěn)定的收斂特性,。同時,,對ECT敏感場的“軟場”特性進行分析,針對忽略“軟場”特性所導致的經(jīng)典Landweber法對不同流型的最佳迭代次數(shù)不一致的問題,,利用最小二乘支持向量機對一定數(shù)量的圖像樣本進行訓練,,從而得到一個先驗條件,并基于該先驗條件提出一種自適應的迭代停止判據(jù),,實現(xiàn)在圖像重建結(jié)果最接近多相流實際分布時停止迭代,。仿真結(jié)果表明,改進后的方法不僅具有穩(wěn)定收斂性,,而且與Landweber法相比,,圖像重建精度可提高16%~50%。

    Abstract:

    Although Landweber method is a classical algorithm for image reconstruction in electrical capacitance tomography (ECT) system, the application of Landweber method in multiphase flow detection is limited due to its semiconvergence. To solve this problem, this paper analyzed and proved the semiconvergence of Landweber method mathematically so as to explore its physical properties. Based on this, an improved Landweber method with full and stable convergence was proposed by structuring a compression operator for Landweber. Then the “soft field” characteristic of sensitivity field in ECT sensor and its effect on sensitivity distribution, which is an important basis for image reconstruction, were analyzed. The sensitivity distributions for each typical electrode pair under different flow patterns were given in threedimensional graphics. As ignoring “soft field” characteristic leads to inconsistency of the best iteration times of Landweber for different flow regimes, an adaptive iteration stopping criterion was proposed. The criterion is based on a priori condition obtained by training a number of image samples with least square support vector machine. With this criterion, iteration can be stopped when the image reconstructed is the closest to the actual distribution of multiphase flow. Meanwhile, the effect of “soft field” characteristic on image reconstruction could be compensated. The experimental results prove that the method not only has a stable convergence, but also can improve the image accuracy by 16%~50%. Therefore, the fullconvergence Landweber method can be widely used in none realtime multiphase flow measurement and detection system for its high detection precision.

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趙玉磊,郭寶龍.基于ECT圖像重建算法的多相流檢測研究[J].農(nóng)業(yè)機械學報,2016,47(7):368-374. Zhao Yulei, Guo Baolong. Multiphase Flow Detection Based on ECT Image Reconstruction Algorithm[J]. Transactions of the Chinese Society for Agricultural Machinery,2016,47(7):368-374.

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  • 收稿日期:2016-01-03
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  • 在線發(fā)布日期: 2016-07-10
  • 出版日期: 2016-07-10
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