The mathematical model describing transients in natural gas pipelines constitutes a non-homogeneous system of non-linear hyperbolic conservation laws. The time splitting approach is adopted to solve this non-homogeneous hyperbolic model. At each time step, the non-homogeneous hyperbolic model is spl
The Use of Modal Analysis Concepts in the Simulation of Pipeline Transients
β Scribed by Michel Lebrun
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 902 KB
- Volume
- 319
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
β¦ Synopsis
In this article, the bond graph technique is used to build up a finite-order representation of a hydraulic network whose distributed character is inherent to the system. In a first step, the network model is setfrom the bond graphs of each line, which resultedfrom a modal approximation. The model obtained is then reduced so as only to contain the significant modes. In such a model, friction effects which are relatively weak compared to the dynamic effects are supposed to be linear. We deal with the problems of the causalities imposed by the subsystems linked to the network, then we shall suggest a technique using pressure and flow duality and conclude with a validated example.
π SIMILAR VOLUMES
The elegance and global character of modal analysis make it very attractive for adaptation to time-varying systems. Most of the concepts of modal analysis are well established in literature and widely understood for linear time-invariant systems. This paper discusses an adaptation of modal analysis
In this paper, a new form of Modal series is used to obtain the transient time-domain response of oscillators. It is applicable to n-dimensional systems and is not dependent on the existence of a small parameter in circuit's model. In addition, it provides an approximate analytical expression for th