【摘要】 针对非线性RLC电路的频响特性和周期解稳定性等问题,建立了电感非线性RLC串联电路的动力学方程。利用谐波平衡法,导出了电感非线性RLC串联电路的频率响应方程,研究了频率响应特性曲线的跳跃和滞后现象及其不产生谐振现象的条件;分析了该电路周期解的稳定性,得出了稳定区和不稳定区的分界线方程;讨论了非线性因素的影响,得出了忽略RLC串联电路的电感非线性因素的条件。更多还原

【Abstract】 A nonlinear dynamical equation of the RLC series circuit with inductance nonlinearity is established. The frequency response equation of the RLC series circuit with inductance nonlinearity is derived, and the jumping and hysteresis of frequency response characteristics curve are studied, as well as the condition under which the resonance phenomenon does not emerge. The stability of periodic solution of this circuit is analyzed by using the method of harmonic balance, and the boundary equation of steady region and instability region is obtained. The influence of nonlinear factors on the RLC series circuit is discussed. The condition of ignoring inductance nonlinear factors on the RLC series circuit is acquired.更多还原