一种分析含受控源电路的去耦等效法

An Analytic Approach to Circuits Including Dependent Sources

分析含受控源电路是电路分析中的一个难点 ,尤其在用等效变换法化简电路时 ,因被控制支路对控制支路有依赖关系 ,使元件或支路不能合并化简。为此 ,提出了一种分析含受控源电路的去耦等效方法。由分析得出 :在线性网络中 ,受控源支路一般可去耦等效为一个实际电源或电阻 (在相量电路中为阻抗 ) ;对于不包含独立源的线性一端口网络 ,受控源支路能去耦等效为电阻 (在相量电路中为阻抗 )。在对受控源去耦等效之后 ,电路模型中无受控源元件 。

It is difficult to use equivalent transformation technique for simplifying a circuit including dependent sources. Because of the presence of the dependent source, elements in series or in parallel often cannot be merged into an equivalent element for fear lest a controlling branch should be cancelled, and a controlling current or a controlling voltage should disappear. In this article a new analytic approach to circuits including dependent sources is proposed. It is shown that a dependent source can be equivalent to a real source or a resistance in the linear resistant circuit(an impedance in the sinusoid steady-sate circuit). So in the equivalent circuit there are no dependent sources, and it is easier to analyze this equivalent model than the original circuit.