基于等效电路的气体管道频域建模

Modeling in frequency domain of gas pipeline based on equivalent circuit

针对气体管道机理建模需要求解复杂的偏微分方程,计算量大,并且灵活性差的问题,提出了一种采用等效电路来建立频域内气体管道模型的方法。分析了流体在管道中流动与电流在电路中传输的相似性,为建立气体管道等效电路模型提供理论基础;建立了有压气体管道等效电路模型,将各种集总参数模型的频率特性和阶跃响应曲线进行了对比,最终确定气体管道的Π型等值电路模型,为频域内气体管道建模提供一种简单便利的方法。

To solve the complexity, massive calculation and poor flexibility of partial differential equations which is required in gas pipeline modeling, a method for gas pipeline modeling in frequency domain is proposed based on equivalent circuit. The similarity between the fluid flow in the pipeline and the current in the circuit is analyzed, which provides the theoretical basis for the establishment of equivalent circuit model. The equivalent circuit model of the pressure gas pipeline is established. The frequency response curves and the step response curves of several lumped parameter models are compared. Finally, the Ⅱ equivalent circuit model is confirmed to be effective, which can provide a simple and convenient method for gas pipeline modeling in frequency domain.