基于加权Morozov偏差的改进GWO气溶胶颗粒正则化参数优化
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山东理工大学电气与电子工程学院淄博255049

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TN247

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山东省自然科学基金(ZR2024MD031, ZR2021QD026)项目资助


Optimization of improved GWO aerosol particles regularization parameters based on weighted Morozov discrepancy
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School of Electrical and Electronic Engineering, Shandong University of Technology, Zibo 255049, China

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    摘要:

    与普通非流动颗粒相比,气溶胶颗粒流速项的增加导致反演方程病态性加剧、对噪声的敏感度增加,难以获取准确的正则化参数。为提高流动气溶胶颗粒正则化参数选取的准确性,在传统Morozov偏差原理的基础上,提出基于加权Morozov偏差的改进灰狼算法(weighted morozov discrepancy-improve grey wolf optimizer, WMD-IGWO)优化正则化参数。该方法通过小波包分解得到电场自相关函数的噪声分量,根据噪声分量对Morozov偏差函数加权建立目标函数,降低噪声对数据的影响。对GWO的收敛因子进行非线性改进,将目标函数代入IGWO全局寻优,获得最优的正则化参数,进而提高了反演结果的准确性。4组模拟的气溶胶颗粒(292、483、167/575、208/733 nm)在不同流速下的反演结果表明,与L-curve方法相比,WMD-IGWO反演所得粒度分布的分布误差及峰值位置误差更小,反演结果准确性更高。584 nm单峰和243/825 nm双峰实测颗粒的结果表明,WMD-IGWO分别最多能降低0.041和0.116/0.087的峰值位置误差,优于L-curve方法的反演结果,验证了模拟实验的结论。

    Abstract:

    Compared with conventional non-flowing particles, an increase in flow velocity of aerosol particles can exacerbate the ill posedness of the inversion equation and increase sensitivity to noise, which makes it difficult to obtain accurate regularization parameters. To improve the accuracy of selecting regularization parameters for flowing aerosol particles, an improved grey wolf algorithm based on weighted Morozov discrepancy (WMD-IGWO) is proposed to optimize the regularization parameters on the basis of the traditional Morozov discrepancy principle. This method obtains the noise component of the electric field ACF through wavelet packet decomposition, and establishes an objective function by weighting the deviation function based on the noise component, which can reduce the impact of noise on the data. The convergence factor of GWO is nonlinearly improved, and the objective function is incorporated into the IGWO for global optimization to obtain the optimal regularization parameter, thereby enhancing the accuracy of the inversion results. The inversion results of four simulated aerosol particles (292, 483, 167/575, 208/733 nm) at different flow velocity show that compared with the L-curve method, the WMD-IGWO inversion results in smaller distribution errors and peak position errors of particle size distribution (PSD), and higher accuracy of inversion results. The inversion results of 584 nm unimodal and 243/825 nm bimodal measured particles show that WMD-IGWO can reduce peak position errors by up to 0.041 and 0.116/0.087, respectively, which is superior to the inversion results of the L-curve method and verifies the conclusions of the simulation experiment.

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马龙飞,王雅静,申晋,刘伟,明虎,杨光宇,张琪.基于加权Morozov偏差的改进GWO气溶胶颗粒正则化参数优化[J].电子测量与仪器学报,2026,40(2):233-243

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