超网孔和超结点概念及其在仪表电路分析中的应用

The Supermesh and Supernode Techniques in Circuit Analysis

在运用网孔分析法对交、直流电路暂态和稳态过程分析中,当遇有相邻两网孔间含有电流源支路,或在运用结点分析法中遇有相邻两结点间含有电压源支路时,用这两种方法列写网孔电流方程和结点电压方程将变得十分困难。借助本文介绍的超网孔和超结点的概念,可较好地解决这两个难题。本文给出了用超网孔、超结点概念分析常见电路的方法并列举了多个应用实例。

The mesh and nodal analysis techniques are significant, effective and popular tools in circuit theory, they are extensively used in electric circuit analysis, ineluding measurement circuits. When a current source exists between two meshes, or if a voltage sources is connected between two nonreference nodes in a circuit, however, employing mesh or nodal analysis directly will come up against difficulties, the concepts of supermesh and supernode put forward by this paper will be beneficial to resolve these issues, in the mean time, the paper also provides readers with several practical computing cases to show their concrete applications and advantages to use these two recommended skills.