电路冲激响应数值仿真激励源施加方式研究

Study of Applying the Excitation for Modeling Circuit Impulse Response

电路的单位冲激响应是研究电路瞬态性质的重要工具之一。由于理想冲激函数在数值实现上存在困难,为得到电路的冲激响应,本文分别以高斯、三角形、梯形和矩形函数作为替代冲激源,采用伴随模型,对二阶RLC串联电路的暂态响应进行了仿真,比较了在四种不同的激励函数作用下电路的初始状态与理想冲激响应的差异。

As a tool to study the transient behavior of a circuit, the impulse response is of vital importance. In order to obtain the impulse response instead of the ideal impulse excitation which does not exist physically, a second order RLC-series circuit is modeled numerically using the companion model with a Gaussian impulse, a triangle impulse, a trapezoidal impulse and a rectangle impulse excitation respectively. Numerical examples are presented to demonstrate the usability of the algorithm in the paper, The initial states of the circuit resulting from four different excitations are compared with the ideal impulse response.