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基于自適應(yīng)帶寬核密度估計(jì)的載荷外推方法研究
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國(guó)家重點(diǎn)研發(fā)計(jì)劃項(xiàng)目(2017YFD0700300)


Load Extrapolation Method Based on Adaptive Bandwidth Kernel Density Estimation
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    摘要:

    為了快速準(zhǔn)確地得到玉米收獲機(jī)車(chē)架的載荷譜,針對(duì)載荷譜編制過(guò)程中傳統(tǒng)的載荷外推方法的局限性,提出一種基于四叉樹(shù)算法的自適應(yīng)帶寬核密度估計(jì)(Kernel density estimation)算法,用來(lái)進(jìn)行載荷外推。將經(jīng)過(guò)預(yù)處理的實(shí)測(cè)原始載荷數(shù)據(jù)進(jìn)行雨流計(jì)數(shù)統(tǒng)計(jì),得到載荷循環(huán)均幅值矩陣,將小于載荷循環(huán)最大幅值10%的載荷濾除,其余的載荷循環(huán)均幅值數(shù)據(jù)根據(jù)四叉樹(shù)分割算法進(jìn)行不同區(qū)域的分割,選擇高斯核函數(shù),根據(jù)拇指法則計(jì)算各個(gè)區(qū)域的局部最優(yōu)帶寬,并根據(jù)數(shù)據(jù)區(qū)域內(nèi)數(shù)據(jù)點(diǎn)的密集程度對(duì)核密度估計(jì)的輸入進(jìn)行優(yōu)化,減少了核密度估計(jì)的計(jì)算量,最后結(jié)合蒙特卡洛模擬算法進(jìn)行載荷外推。采用玉米收獲機(jī)車(chē)架實(shí)測(cè)載荷數(shù)據(jù)進(jìn)行實(shí)例驗(yàn)證,結(jié)果表明,與傳統(tǒng)的固定帶寬、自適應(yīng)帶寬核密度估計(jì)的載荷外推方法相比,本文提出的方法大大提高了計(jì)算效率,其概率密度函數(shù)圖與實(shí)際載荷分布更為接近;載荷循環(huán)均幅值頻次分布相關(guān)系數(shù)更接近于1,均方根誤差更?。惠d荷循環(huán)幅值累積頻次曲線(xiàn)的決定系數(shù)均大于0.99。

    Abstract:

    For the limitation of the traditional load extrapolation methods in the process of load spectrum compilation, an adaptive bandwidth kernel density estimation algorithm was proposed based on the quad-tree algorithm to obtain the load spectrum, which can obtain the corn harvester frame more accurately and quickly. Firstly, the rain flow counting method was applied to count the pretreated measured load data. The load cycles whose amplitudes were less than 10% of the maximum load cycle amplitude value were filtered. The remaining load data were segmented into different regions according to the quad-tree segmentation algorithm. The Gaussian kernel function was selected as the kernel function, and the local optimal bandwidth of the data in each region was calculated according to the rule of thumb. In addition, the input of the kernel density estimation was optimized according to the density of data points in the data area, which reduced the calculation consumption of kernel density estimation. The measured load data from the frame of the corn harvester were used for verifying the effectiveness of proposed method. Compared with the traditional load extrapolation methods of fixed and adaptive bandwidth kernel density estimation, the proposed method greatly improved the computational efficiency, the probability density calculated by the proposed method was closer to the actual load distribution. The correlation coefficient of frequency distribution of load cycle mean and amplitude was closer to 1, and the root mean square error was smaller. The determining coefficient of the amplitude cumulative frequency curve was greater than 0.99. The results showed that the research result can provide reference for load extrapolation and load spectrum compilation.

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牛文鐵,才福友,付景靜.基于自適應(yīng)帶寬核密度估計(jì)的載荷外推方法研究[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2021,52(1):375-384. NIU Wentie, CAI Fuyou, FU Jingjing. Load Extrapolation Method Based on Adaptive Bandwidth Kernel Density Estimation[J]. Transactions of the Chinese Society for Agricultural Machinery,2021,52(1):375-384.

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  • 收稿日期:2020-06-14
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  • 在線(xiàn)發(fā)布日期: 2021-01-10
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