用根轨迹分析蓄能器对液压系统稳定性影响

Analysis of the influence of the accumulator on the stability of hydraulic system by root-locus

研究了水压调整系统的稳定性,建立了有关压力流量等物理量的微分方程。经线性化处理后用状态空间法求出系统特征方程的根 — 拉普拉斯算子实根(衰减系数)和虚根(阻尼自然频率)。改变参数即可算出系统根轨迹。由实部根轨迹的负与正可以判定系统的稳定性。据此得出蓄能器的容积、管道长度、管道直径等若干参数对系统稳定性的影响程度。

The stability of hydraulic system with accumulator is studied. The author set up the differential equation for the variable of pressure flow rates and etc. After linearizing them, the roots of the characteristic equation is derived, roots in laplacian — (attenuation coefficient) and the imaginary-roots (damping frequency). Changing the parameters could get the root locus .The positive part and negative part of the real roots can be used to judge the stability of the system. based on this theory, the authors got the degree of influence such on the stability of the system. parameters at the accumulator such as the accumulator volume,the diameter of pipe