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首页> 外文会议>Vienna International Conference on Mathematical Modelling >Modeling and Optimization of Control Processes for Compressible Liquid Flow in Pipeline Systems
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Modeling and Optimization of Control Processes for Compressible Liquid Flow in Pipeline Systems

机译：管道系统中可压缩液体流量控制过程的建模与优化

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Modeling and optimization of control processes for compressible fluid flow in pipeline systems are considered. A mathematical model of controlled elements with distributed parameters is proposed to describe the dynamical behavior of a long rigid tube with transported liquid supplied by a control pump. Functions describing effective displacements and linear approximations of fluidic resistances are used to reduce the original initial-boundary value problem to a variational formulation on the basis of the method of integrodifferential relations. Moreover, this approach makes use of a novel finite element technique. Optimal control procedures are derived for changing either the outlet pressure or the mass flow to desired operating points and to damp undesirable elastic oscillations at the end of the control process. A projection approach is implemented on the basis of a modification of the Galerkin method in combination with the semi-discretization of unknown functions over the spatial coordinate. This procedure is applied to reliable numerical modeling of a simple pipeline system and to the design of an efficient control procedure. Numerical results obtained for different system parameters and control objectives are analyzed and discussed.
机译：考虑了管道系统中可压缩流体流动控制过程的建模与优化。提出了一种具有分布式参数的受控元件的数学模型，以描述由控制泵供应的传送液的长刚性管的动态行为。描述有效位移和流体电阻线性近似的功能用于基于积分分配关系的方法将原始初始边值问题降低到变分制剂。此外，这种方法利用了一种新颖的有限元技术。导出最佳控制过程以改变出口压力或质量流向所需的操作点并在控制过程结束时抑制不希望的弹性振荡。基于Galerkin方法的修改实现了投影方法，结合空间坐标上的未知功能的半离散化。该过程适用于简单管道系统的可靠数值建模和设计有效控制过程的设计。分析并讨论了对不同系统参数和控制目标获得的数值结果。

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