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多种群遗传算法与截断奇异值分解法在开关电弧反演中的应用 被引量:2

Application of Multi-Population Genetic Algorithm and Truncated Singular Value Decomposition in Switching Arc Inversion
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摘要 利用电流与空间磁场的对应关系,将电弧视为具有变弧径多条电流线集合。基于毕奥萨伐尔定律,通过正演分析获取组合电弧电流线在空间的磁场分布。为简化问题复杂度,考虑电弧未入栅片的阶段,利用多种群遗传算法优化目标函数求解电磁逆问题非线性方程组,以确定电弧空间位置。在上述基础上,为解决逆问题不适定性,采用截断奇异值分解法反演电弧电流分布,并通过GCV准则获取正则化参数。反演结果有助于理解开关电弧的物理特性。 By using the corresponding relationship between the current and the space magnetic field, the arc is regarded as a set of multiple current lines with variable arc diameters. Based on Biot-Savart's law, the magnetic field distribution of combined arc streamlines in space is obtained by forward analysis. To simplify the complexity of the problem, the research only considers the phase of the arc not entering the splitter plates, and the multi-population genetic algorithm(MPGA) is used to optimize the objective function for solving the nonlinear equations of the electromagnetic inverse problem to determine the space position of the arc. On the basis of the above, the truncated singular value decomposition(TSVD) method is used to inverse the arc current distribution, with the regularization parameters obtained by the GCV criterion. The inversion results will contribute to understand the physical characteristics of the switch arc.
作者 赵宏晨 王刚 刘晓明 Zhao Hongchen;Wang Gang;Liu Xiaoming(Shenyang University of Technology Shenyang 110870 China;Guizhou Institute of Technology Guiyang 550003 China;Tianjin Polytechnic University Tianjin 300387 China)
出处 《电气工程学报》 2018年第6期14-19,48,共7页 Journal of Electrical Engineering
基金 国家自然科学基金面上项目(51377106)
关键词 开关电弧反演 不适定性 多种群遗传算法 截断奇异值分解 GCV准则 Switching arc inverse problem ill-posed MPGA TSVD GCV criterion
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