Modeling Arbitrarily Shaped Liquid Pipelines Using a Segmented Transmission Line Model

2020 ◽  
Vol 142 (6) ◽  
Author(s):  
Travis Wiens

Abstract This paper presents a new method of simulating the dynamic flow and pressure of laminar liquid flow through pipes of arbitrarily changing cross section. This method uses a segmented model based on the previously presented tapered transmission line model (TLM). This new method is computationally efficient and has comparable accuracy to previous methods such as the method of characteristics (MOC), but allow for more flexibility in solution time-step (such as accommodating variable time-step solvers), which is required if the rest of the system model has stiff equations. For the sample geometry presented, the new model calculates the dynamic response an order of magnitude faster than the previous method of characteristics solution, with minimal loss of accuracy.

Author(s):  
Travis Wiens

Abstract Previous work by the authors has presented a new method of modeling dynamic laminar flows in pipelines with changing cross sectional area. This method utilizes a number of Transmission Line Models (TLM), each with a single linear taper, as segments to model the pipeline. The Segmented Transmission Line Model (STLM) allows for fast computation, especially with the use of a variable time-step ODE solver for a system-level simulation (typically required for modeling of fluid power components). This paper presents an optimized version, including best practices for segmenting the pipeline based on accuracy and computation time.


Transmission Line model are an important role in the electrical power supply. Modeling of such system remains a challenge for simulations are necessary for designing and controlling modern power systems.In order to analyze the numerical approach for a benchmark collection Comprehensive of some needful real-world examples, which can be utilized to evaluate and compare mathematical approaches for model reduction. The approach is based on retaining the dominant modes of the system and truncation comparatively the less significant once.as the reduced order model has been derived from retaining the dominate modes of the large-scale stable system, the reduction preserves the stability. The strong demerit of the many MOR methods is that, the steady state values of the reduced order model does not match with the higher order systems. This drawback has been try to eliminated through the Different MOR method using sssMOR tools. This makes it possible for a new assessment of the error system Offered that the Observability Gramian of the original system has as soon as been thought about, an H∞ and H2 error bound can be calculated with minimal numerical effort for any minimized model attributable to The reduced order model (ROM) of a large-scale dynamical system is essential to effortlessness the study of the system utilizing approximation Algorithms. The response evaluation is considered in terms of response constraints and graphical assessments. the application of Approximation methods is offered for arising ROM of the large-scale LTI systems which consist of benchmark problems. The time response of approximated system, assessed by the proposed method, is also shown which is excellent matching of the response of original system when compared to the response of other existing approaches .


1990 ◽  
Vol 26 (2) ◽  
pp. 148 ◽  
Author(s):  
D. Kinowski ◽  
C. Seguinot ◽  
P. Pribetich ◽  
P. Kennis

2002 ◽  
Vol 85 (3) ◽  
pp. 16-22
Author(s):  
Kiichi Kamimura ◽  
Shinsuke Okada ◽  
Masato Nakao ◽  
Yoshiharu Onuma ◽  
Shozo Yamashita

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