| 互易电路回路矩阵和节点矩阵的对称性 |
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| 引用本文： | 田社平,陈洪亮,张峰. 互易电路回路矩阵和节点矩阵的对称性[J]. 电气电子教学学报, 2010, 32(1) |
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| 作者姓名： | 田社平 陈洪亮 张峰 |
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| 作者单位： | 上海交通大学,电子信息学院,上海,200240 |
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| 摘 要： | 互易电路是电路教学中的重要内容。本文讨论了互易电路回路矩阵和节点矩阵的对称性,即对不含独立电源的电路,如果其回路矩阵或节点矩阵是对称的,则该电路必为互易电路,反之不然。文中给出了一般性结论及证明。本文的讨论对电路课程的教学具有一定的参考价值。
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| 关 键 词： | 电路理论 回路矩阵 节点矩阵 对称性 互易 |
On Symmerty of Loop Matrix and Node Matrix of Reciprocal Circuits |
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| TIAN She-ping,CHEN Hong-liang,ZHANG Feng. On Symmerty of Loop Matrix and Node Matrix of Reciprocal Circuits[J]. Journal of Electrical & Electronic Engineering Education, 2010, 32(1) |
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| Authors: | TIAN She-ping CHEN Hong-liang ZHANG Feng |
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| Affiliation: | School of Electrical and Electronic Eng.;Shanghai Jiao Tong Univ.;Shanghai 200240;China |
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| Abstract: | Reciprocal circuits are important content in circuit teaching.This paper has discussed the symmerty of loop matrix and node matrix of reciprocal circuits.It has concluded that if the loop matrix and node matrix of a circuit without independent sources are symmetrical,the circuit must be reciprocal,but the reverse is not true.General proof of the conclusion is given.The discussion is helpful for the teaching of circuit. |
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| Keywords: | circuit theory loop matrix node matrix symmetry reciprocity |
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