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一种通用的电路基本割集直接确定方法

A General Direct Determination Method of Basic Cut Set of Electric Circuit

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【作者】 曹磊甘志龙贾姗姗

【Author】 CAO Lei;GAN Zhilong;JIA Shanshan;School of Electrical and Electronic Engineering, Huazhong University of Science and Technology;

【机构】 华中科技大学电气与电子工程学院

【摘要】 实现了一种通用的电路基本割集直接确定方法,该方法依据自行定义的节点-节点关系矩阵、节点平面坐标矩阵以及支路分配规则,将原有向图改画为支路彼此不相交的三维有向图,通过三维闭合曲面切割,最终在三维空间形象地显示各基本割集及其方向,便于学生的直观理解。这种方法既适用于复杂的非平面电路,也可用于简单的平面电路,弥补了教材中现有方法(闭合平面切割法和依据定义的排除法)的不足。

【Abstract】 This paper realizes a general method for the direct determination of the basic cut set of a circuit. Based on the self-defined node-node relation matrix, node plane coordinate matrix and branch re-distribution rule, the method can get the branch disjoint three-dimensional circuit diagram, cut with a closed surface and finally display vividly the basic cut set of the circuit and the corresponding direction in three-dimensional space, which is convenient for students and teachers to understand. This method is not only suitable for complex non-planar circuits, but also for simple planar circuits.Moreover, the method makes up for the shortcomings of existing methods in textbooks, such as the cutting method with closed plane and the exclusion approach by definition of basic cut set.

【基金】 华中科技大学武汉强磁场学科交叉基金项目(WHMFC202136)
  • 【文献出处】 电气电子教学学报 ,Journal of Electrical and Electronic Education , 编辑部邮箱 ,2023年04期
  • 【分类号】TM13-4;G642
  • 【下载频次】2
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