回路分析法和割集分析法教学探索

An Exploration on Teaching Loop Analysis and Cut Aggregation Analysis

以讲授回路分析法和割集分析法所需数学知识够用为理念,用较通俗的语言,较少的篇幅,介绍了图论的相关概念,进而给出了KCL定律、独立电压变量集、独立电流变量集、独立KCL方程组和独立KVL方程组等基于图论的表述。同时,分别举例说明了使用回路分析法和割集分析法求解电路的基本步骤和树的最优选择方法。该教学方法逻辑概念清晰,易于学生理解和掌握。教学实践表明,课堂时间可控制在两个学时内。

Some basic concepts of graph theory are introduced in popular language and minor time allotment, based on the idea of establishing adequate mathematical basis for teaching loop analysis and cut aggregation analysis. Some circuits terminology are then explained in graph theories, such as KCL law, independent voltage variable set, independent current variable set, independent KCL equation set and independent KVL equation set. The essential steps and the optimal selection method of the tree are illustrated in examples for solving the circuit by loop analysis and cut aggregation analysis. The results are clear logically and easy to understand and grasp. The classroom teaching can be carried out within 90 minutes.