电路理论中对偶性的体现与应用价值
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摘要
对偶,是指客观世界中两个事物具有相同地位和性质。一方满足某一条件时,据对偶原理,其对偶元素也满足这一条件。通过论述与归纳电路中的对偶结构、对偶参数、对偶定律等,可以加强对电路理论里对偶性的含义理解,并阐述利用这一特性解决相关公式的推导及验证的方法,调动同学们的学习积极性和对电路探究的兴趣。文章应用对偶原理,从戴维宁定理参数到诺顿定理的应用,从RC电路暂态结论到RL电路暂态分析,从RLC串联电路的三种电路状态到RLC并联电路的分析,不仅有效降低分析难度,提高电路分析效率,也加深对相关定理和结论的理解。最后将电路分析中对偶性应用在网络综合和建模,体现较好的工程应用价值。
Duality means that two things in the objective world have the same status and nature. When one party satisfies a certain condition, according to the dual principle, its dual element also satisfies this condition. By discussing the dual structure, dual parameters, dual law, etc. in the induction circuit, we can strengthen the understanding of the meaning of duality in the circuit theory, and explain the method of using this feature to solve the derivation and verification of relevant formulas, and mobilize the students' learning. Enthusiasm and interest in circuit exploration. The application of the dual principle, from the application of the Thevenin theorem parameter to the Norton theorem, from the RC circuit transient conclusion to the RL circuit transient analysis, from the three circuit states of the RLC series circuit to the analysis of the RLC parallel circuit, not only effectively reduces the analysis difficulty, Improve the efficiency of circuit analysis, and deepen the understanding of the relevant theorems and conclusions. Finally, the duality of circuit analysis is applied to network synthesis and modeling, which reflects the good engineering application value.
Duality means that two things in the objective world have the same status and nature. When one party satisfies a certain condition, according to the dual principle, its dual element also satisfies this condition. By discussing the dual structure, dual parameters, dual law, etc. in the induction circuit, we can strengthen the understanding of the meaning of duality in the circuit theory, and explain the method of using this feature to solve the derivation and verification of relevant formulas, and mobilize the students' learning. Enthusiasm and interest in circuit exploration. The application of the dual principle, from the application of the Thevenin theorem parameter to the Norton theorem, from the RC circuit transient conclusion to the RL circuit transient analysis, from the three circuit states of the RLC series circuit to the analysis of the RLC parallel circuit, not only effectively reduces the analysis difficulty, Improve the efficiency of circuit analysis, and deepen the understanding of the relevant theorems and conclusions. Finally, the duality of circuit analysis is applied to network synthesis and modeling, which reflects the good engineering application value.
引文
[1]邱关源.电路.第4版[M].高等教育出版社, 1999.
[2]周井泉,陆峰,张宇飞.电路的对偶之美[J].电气电子教学学报, 2015(4):69-70.
[3]李谟清.对电路中对偶关系及其意义的分析[J].宜春师专学报, 1994(5):39-42.
[4]康丽生,康润生.电路中的对偶现象[J].电力系统保护与控制, 2003, 31(3):79-80.
[5]张兢,彭东林,余永辉,等.对偶原理在电路基础课程中的应用探索[J].中国电力教育,2009(9):83-84.
[6]朱品昌、叶宏、徐凯、倪继锋《对偶性原理在一阶电路分析中的应用》中国学术期刊电子出版社,2011,NO.10 64—65
[7]黄敬华,吴筠.网孔和结点的电路分析与综合[J].当代继续教育, 2005, 23(1):76-79.
[2]周井泉,陆峰,张宇飞.电路的对偶之美[J].电气电子教学学报, 2015(4):69-70.
[3]李谟清.对电路中对偶关系及其意义的分析[J].宜春师专学报, 1994(5):39-42.
[4]康丽生,康润生.电路中的对偶现象[J].电力系统保护与控制, 2003, 31(3):79-80.
[5]张兢,彭东林,余永辉,等.对偶原理在电路基础课程中的应用探索[J].中国电力教育,2009(9):83-84.
[6]朱品昌、叶宏、徐凯、倪继锋《对偶性原理在一阶电路分析中的应用》中国学术期刊电子出版社,2011,NO.10 64—65
[7]黄敬华,吴筠.网孔和结点的电路分析与综合[J].当代继续教育, 2005, 23(1):76-79.