网络理论在液压系统稳态与准瞬态分析中的应用

• 作 者: 林崧 董新民 胡国清
• 机 构: 西北工业大学,西北工业大学,西北工业大学 教授,硕士,硕士
• 出 处: 西北工业大学学报
• 发表日期: 1992年02期
• 关键词: 液压系统 回路法 瞬态分析 等效电路模型 网络理论 降阶 元件模型 系统方程 稳态分析 机构运动

液压系统稳态分析惯用节点法建立系统方程,但对于一个实际系统,尤其是飞机液压系统,存在有系统方程阶数高和病态严重的缺点。运用网络理论中的回路法可解决上述问题。然而回路法的应用又迂到支路流量不连续和准瞬态分析计算中的系统降阶两个问题。为此,提出了典型液压支路新的等效电路模型,修改了元件模型,提出将节点外输入变换成等效支路外输入的方法,从而建立了系统回路法数学模型。在准瞬态计算中采用矩阵广义求逆法,解决了连续计算中出现的系统方程降阶问题,使连续计算得以实现。本文将简要叙述这些问题。

The steady-state analysis of the hydraulic system uses the nodal method to establish the system equations, but for a practical system, especially the aircraft hydraulic system, there is a drawback that the system equations are orderly high and ill-conditioned. The circuit theory in the network can solve the above problems. However, the application of the loop method has also led to two problems of the system reduction in discontinuous flow and quasi-transient analysis and calculation of branch flow. Therefore, a new equivalent circuit model of a typical hydraulic branch is proposed, and the component model is modified. A method of transforming the input outside the node into the equivalent branch input is proposed, and the mathematical model of the system loop is established. The method of matrix generalized inversion is adopted in the quasi-transient calculation to solve the problem of order reduction of system equations appearing in continuous calculation, so that the continuous calculation can be realized. This article will briefly describe these issues.