含全耦合电感电路的求解

Solving Circuits with Perfectly Coupled Inductors

分析动态电路既可以应用拉普拉斯变换方法,也可采用时域分析方法。通过分析含全耦合电感电路,得出流入耦合电感的电流有可能发生跃变的结论,该电流不是电路的状态变量。对含全耦合电感电路的求解以拉普拉斯变换方法为宜。如果采用时域分析方法,则应采用含全耦合电感电路的等效电路来求解。上述分析结果可供讲授电路理论的教师参考。

Laplace transform or time-domain analysis can be applied to solve the complete response of a dynamic circuit.By analyzing a circuit with a perfectly coupled inductor,we find that the current which enters the coupled inductor maybe produce a jump while the circuit changes.The current variable is not a state variable.It is advisable to solve circuits with perfectly coupled inductors by Laplace transform.The equivalent circuit of the circuit with a perfectly coupled inductor should be used while using time-domain method.The analysis results are helpful for the teaching of circuit theory.