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复合介质γ、ε中暂态电场的数值解 被引量:7

A Numerical Solution of Transient Fields in Compound Dielectrics with Conductivity γ and Permittivity ε
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摘要 在实际工程问题中绝缘介质的尺寸比暂态的等值波长小到不可比拟,因而暂态电场仍旧是一个位场。在这一前提下,由麦克斯韦尔方程式导出二维或轴对称三维复合介质中暂态场的偏微分方程。为求得该方程的数值解,用有限元法解边值问题,用数值积分解初值问题,得出在空间和时间上离散的代数方程组。最后通过算例进行了验证。 In power engineering practice the dimensions of dielectric structure are usually very small that they are not comparable with the equivalent wave lengths of electrical transients. Hence the transient field is still a potential field. Under this presupposition partial differentia cquations of 2-dimensional or axisymmetrically 3-dimensional transient fields were derived from Maxwell's equations.These partial differential equations are so called mixed problem. The boundary-value problem is solved with finite element method while the inifial-value problem solved with numerical integration. Consequently a group of linear algibraic equations which are discrete in both space and time approached. The solution is proved through an example.
作者 文闿成
出处 《高电压技术》 EI CAS CSCD 北大核心 1989年第4期2-7,共6页 High Voltage Engineering
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参考文献1

  • 1戴江江.复合介质电场在正弦稳态下的有限元解及网络模拟[J]武汉水利电力学院学报,1981(02).

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