Diakoptic Approach to Modeling and Design of Complex Electromagnetic Systems

复杂电磁系统建模和设计的透光方法

基本信息

批准号：
1002385
负责人：
Branislav Notaros
金额：
$ 36万
依托单位：
Colorado State University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2010
资助国家：
美国
起止时间：
2010-05-01 至 2016-04-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1002385&HistoricalAwards=false
关键词：
Diakoptic Approach Modeling Design Complex

项目摘要

The objective of this research is the development and application of a higher order diakoptic method for modeling and design of complex electromagnetic systems. The approach is to break a large system into a number of subsystems of arbitrary shapes, solve the individual subsystems independently using well established techniques such as finite-element and moment methods, and obtain linear relations between the coefficients of equivalent current expansions over the boundary surfaces of the subsystems (diakoptic coefficients), which yield the solution to the original problem. Intellectual Merit: The diakoptic approach provides a general and efficient way to solve a large problem as a linear combination of independent solutions of component problems. In addition to a significant reduction of the computational burden, this approach will allow reducing an unsolvable problem to solvable ones. As a unique feature, component problems will be characterized by their Norton-theorem-like equivalent representations (in the form of diakoptic coefficients). Applications include emerging electromagnetic materials and antenna arrays.Broader Impacts: The diakoptic approach will provide the engineering community with a general method for solving the most challenging electromagnetic-field problems in a fashion typical for circuit-theory solutions, but with the rigor of Maxwell's equations. It has the long-term potential to transform the way modeling and design of electromagnetic systems is done. Several educational initiatives, fully integrated with the research, include a course around the diakoptic approach and MATLAB exercises for students, outreach, and efforts to further enhance strong participation of underrepresented students in the PI's group.

这项研究的目的是开发和应用更高阶段的透明度方法，用于建模和设计复杂的电磁系统。该方法是将大型系统分解为多个任意形状的子系统，使用诸如有限元素和力矩方法等良好建立的技术独立解决各个子系统，并获得等效电流扩展之间在子系统边界表面上的等效电流扩展之间的线性关系（Diakoptic系数）（Diakoptic系数），从而产生了原始问题。智力优点：Diakoptic方法提供了一种通用有效的方法，可以作为组件问题独立解决方案的线性组合解决大问题。除了显着减少计算负担外，这种方法还将允许将无法解决的问题减少到可解决的问题。作为一个独特的功能，组件问题将以其诺顿理论上的等效表示（以垂直系数的形式）为特征。应用程序包括新兴的电磁材料和天线阵列。Boader的影响：Diakoptic方法将为工程社区提供一种通用方法，用于解决典型的电路理论解决方案的时尚电磁场问题，但要使用Maxwell方程进行严格。它具有改变电磁系统建模和设计方式的长期潜力。与这项研究完全融合的几项教育计划包括围绕学生的垂直锻炼和MATLAB练习的课程，外展和努力，以进一步增强PI小组中代表性不足的学生的强大参与。