基于AutoCAD自動建模技術(shù)的任意形狀導(dǎo)體電容MoM計算
The MoM Solution for the Capacitance of an Arbitrary Shaped Conducting Body Based on AutoCAD Modeling
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摘要: 該文首先研究了任意形狀導(dǎo)體的AutoCAD自動建模,得出了基于三角形面片的任意形狀導(dǎo)體表面的模型.接著著重研究了利用矩量法求解任意形狀導(dǎo)體的理論基礎(chǔ),推導(dǎo)出了任意三角形自作用單元的解析公式以及互作用單元的數(shù)值解。最后,給出了一些二維,三維的任意導(dǎo)體的數(shù)值結(jié)果,并且給出了這些數(shù)值結(jié)果的Richardson外推值,計算結(jié)果與文獻以及精確解都吻合的比較好,從而說明了該方法的有效性和準(zhǔn)確性。
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關(guān)鍵詞:
- 任意形狀導(dǎo)體電容; AutoCAD; 矩量法; Richardson外推
Abstract: The auto-modeling of an arbitrary shaped conducting body is studied by the software AutoCAD firstly, and the surface model of the conducting body is achieved on base of many basic triangle meshes. Then the basic theory of the solution for the capacitance of an arbitrary shaped conducting body is presented by method of moment, and the closed-form of diagonal matrix elements and the numerical result of off-diagonal matrix elements are deduced. Finally, some examples of two-dimensional and three-dimensional bodies are given, at the same time the Richardsons extrapolations of these numerical results are calculated. The results agree well with the corresponding close-form and the reference value in literature. Thus the methods accuracy and high efficiency are illuminated. -
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