戴维南定理教学中强化定理思维培养的探索  

Exploration on Strengthening the Theorem Thinking in the Teaching of Thevenin's Theorem

作　　者：贾锋 李晓华 魏书荣 杨欢红 JIA Feng;LI Xiaohua;WEI Shurong;YANG Huanhong(School of Electrical Engineering,Shanghai University of Electric Power,Shanghai 200090,China)

机构地区：[1]上海电力大学电气工程学院,上海200090

出　　处：《电气电子教学学报》2024年第3期147-149,共3页Journal of Electrical and Electronic Education

基　　金：上海高校青年教师培养资助计划(ZZsdl19010)。

摘　　要：在戴维南定理讲授过程中引入了叠加定理、替代定理之外的第三个定理——“等效电阻定理”,该定理既能在问题引入环节启发思考,又可以补齐戴维南定理证明过程中的全逻辑链条,还有助于从逻辑推演的方式得出新定理的适用条件。基于逻辑推演的严密性,抽象出一种同时适用于白箱电路和黑箱电路的等效电阻参数通用求取方法——内部电源法,据此可拓展开路电压/短路电流法的内涵,其与“外加电源法”在名称上的对照也有助于掌握等效电阻求取的操作要领。The third theorem,"equivalent resistance theorem",is introduced to prove the Thevenin's theorem in addition to superposition theorem and substitution theorem.This theorem can not only enlighten the thinking in the problem introduction,but also complement the full logical chain in the proving process of Thevenin's theorem,and also help to derive the applicable conditions of the Thevenin's theorem.Based on the strictness of logic deduction,a general method for obtaining the equivalent resistance parameters of white box circuit and black box circuit-internal power supply method is abstracted.This is helpful to extend the connotation of open circuit voltage/short circuit current method,and its name correspondence with"external power supply method"is also helpful to grasp the operation essentials of obtaining the equivalent resistance.

关 键 词：逻辑推演 戴维南定理 启发式教学 等效电阻 

分 类 号：TM13-4[电气工程—电工理论与新技术]