RLC串联电路的求解及电流曲线的分析

Solution of RLC serial circuits and analysis of electric current curve

应用拉格朗日方程对非线性RLC串联电路的暂态过程进行了求解,对所得到的解析解进行了分析,得到了非线性RLC电路的一些普遍特征.通过对RLC串联谐振电路中的谐振态量分析说明,给出谐振态量与电路参数、品质因数的关系式,说明了谐振电流曲线的非对称性,对实际应用具有一定的参考价值.

By using Lagrange formulations, the solution of transient in nonlinear serial RLC circuits was obtained and analyzed to find their some general features. Several dependences of resonant quantities on circuit parameters and Q-factor were given by means of analysis and description of resonant quantity in current circuit, showing that the resonant current curve was asymmetric. This would provide a certain reference for relevant engineering application.