替代定理的研究与应用

Research and Application of Substitution Theorem

替代定理是建立在已知电路中某二端子电路的端口电压和电流的基础之上,通过等效替代的方式来简化电路分析,为优化电路设计提供方便.现有电路分析教材中对替代定理的描述不足,导致存在争议.因此,对替代定理重新进行了描述,给出其各种形式及证明,并对争议进行了解释.最后,通过实例说明灵活运用替代定理进行电路分析,可以起到事半功倍的作用,从而有益于实际电路分析和电路理论教学.

The Substitution Theorem is based on the voltage and current of a two terminal circuit in a known circuit, which simplifies the circuit analysis by means of equivalent substitution and facilitates the optimization of the circuit design. In the existing circuit analysis textbook, there is controversy for the lack of description. Therefore, the Substitution Theorem is re-described, given its various forms and proof, and explains the disputes. Finally, through examples of flexible use of Substitution Theorem for circuit analysis, it can play a multiplier role, which is beneficial to the actual circuit analysis and circuit theory teaching.