负载特性激发的非线性项的不连续性跳跃

Discontinuities in nonlinear systems for certain load properties

为了探索非线性系统的跳跃现象,研究了一个由代数方程描述的简单非线性系统。该系统中的非线性项在一定的参数组合及某些激励下会发生自异变行为。用负载线图解法分析了非线性元件自异变行为的产生原因、非线性项工作点轨迹与约束方程之间出现连续不相容现象。对不同的负载电阻,实验和计算机仿真结果表明,有跳跃滞的和完整的非线性特性曲线。负载电阻较小时,非线性项的特性曲线有些部分是不能观察到的,无法测量到单射的特性曲线,只能观察到有跳跃滞的不连续曲线。

In order to explored the jump phenomena of the nonlinear system. A simple nonlinear system described by algebraic equations was used to study deviations from equilibrium that can occur for certain parameters. The system experiences continuous nonequilibrium between the circuit state and the constraint equations because the nonlinear equations can only reach equilibrium with the constraint equations by means of a jump in the system state. A graphical description of the load was used to describe one of the reasons for the deviation of the nonlinear system from equilibrium. With a small load resistance, part of characteristic curve for the nonlinear system does not show so the injection mapping characteristic curve can not be measured. Only a discontinuous curve with a jump is observable. The whole nonlinear characteristic curve and the jump in the system state can be observed from both experiments and simulations for various load resistances.