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电磁场计算中用数值解逼近解析解的新方法

A new method of approximating analytical solutions by means of the numerical evaluation in electromagnetic field

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【作者】 杨平

【Author】 YANG Ping (Harbin University of Science and Technology, Harbin 150080, China)

【机构】 哈尔滨理工大学 黑龙江 哈尔滨 150040

【摘要】 提出了一种电磁场计算中用数值解逼近解析解的新方法.此方法将所求解的电磁场场域采用多种剖分,在不同剖分情况下,计算所求的场量或参数,用最小二乘法拟合出所求场量或参数的准精确表达式.本文用两个有解析解的模型对此方法进行了验证,验证表明此方法的计算结果与解析解的结果十分接近.同时还给出了一个将本文提出的方法与矩量法相结合计算电容的实例.

【Abstract】 Many kinds of field dissections were made and the physical quantities that we want were calculated under different field dissection. The quasi-precise expression of the physical quantities that we want was fitted by the method of minimum squares. The method given in the paper was verified by two examples that have analytical solutions and proof results indicated that the results were very close to those of analytical solution. At the same time, a practical example of capacitance value calculation was given by means of moment method combining with the method given in the paper.

【关键词】 电磁场数值计算矩量法
【Key words】 electromagnetic fieldnumerical evaluationmoment methods
  • 【文献出处】 电机与控制学报 ,Electric Machines and Control , 编辑部邮箱 ,2004年02期
  • 【分类号】TM153
  • 【被引频次】10
  • 【下载频次】304
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