...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>IEEE Transactions on Automatic Control >On the dynamic equations of linear multiconductor transmission lines with terminal nonlinear multiport resistors
【24h】

On the dynamic equations of linear multiconductor transmission lines with terminal nonlinear multiport resistors

机译：关于带终端非线性多端口电阻的线性多芯传输线的动态方程

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Distributed circuits composed of linear multiconductor transmission lines and terminated with nonlinear weakly active multiport resistors are considered. The line is represented as a linear dynamic multiport through recursive convolution relations and special considerations are given to some general properties of the line impulse responses. The convolution technique allows the mathematical description of these distributed circuits by means of a set of nonlinear algebraic-integral equations ofVolterra type for the terminal voltages and currents. The conditions under which these governing equations can be reformulated as a set of Volterra integral equations of second kind in normal form are given with the explicit means for doing so. Theseconditions also assure the existence and the uniqueness of the solution. In particular if the terminal multiport resistors are strictly locally passive, then the normal form exists and the solution is unique. Transmission lines with terminal multiportresistors that are locally active may not admit a normal form for the governing equations, and hence, several solutions that have the same initial conditions are possible. In these cases a simple method is presented for revising the original network model so that the normal form exists, and hence, the uniqueness of solution is assured, under mild restrictions.
机译：考虑由线性多导体传输线组成并由非线性弱有源多端口电阻端接的分布式电路。通过递归卷积关系将线表示为线性动态多端口，并特别考虑了线脉冲响应的一些一般性质。卷积技术允许通过一组非线性代数积分方程（Volterra 型）来描述这些分布式电路的端电压和电流。给出了这些控制方程可以以正态形式重新表述为第二类沃尔泰拉积分方程的条件，并给出了这样做的明确方法。这些条件也确保了解决方案的存在性和唯一性。特别是，如果终端多端口电阻器是严格局部无源的，则存在正常形式，并且解决方案是唯一的。具有本地活动端子多端口电阻的传输线可能不接受控制方程的正态形式，因此，具有相同初始条件的几种解是可能的。在这些情况下，提出了一种简单的方法来修改原始网络模型，使正态形式存在，从而在温和的限制下确保解的唯一性。

著录项

相似文献

  • 外文文献
  • 中文文献
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号