Author(s): V. V. Tarasevich; A. A. Atavin; A. A. Moroz; Yu. V. Kolevatov; V. I. Sabelnikov
Linked Author(s): Vladimir Tarasevich
Keywords: Piping system; Transients; Simulation; Fast model; System with lumped parameters
Abstract: The problems of calculation of parameters of unsteady flows (transients) in piping systems belong to a category of important and widespread problems arising in practice. The systems of water supply, thermal networks, gas and oil pipelines, hydro drives of machines and mechanisms are the examples of such systems. The mathematical model used for it, contains the systems of the partial differential equations (of hyperbolic type, as a rule) describing water currents in each pipe, and the systems of the algebraic equations and/or the ordinary differential equations describing functioning of nodes. The solution of such global system of the equations is rather complicated and demands the significant computing resources. The approach is offered in this paper, based on the models with the lumped parameters which uses for the description of liquid currents in pipelines only by systems of the ordinary differential equations. This allows perform calculations on base of such model with much smaller expenses of computing resources. Use of such fast models is rather effectively for execution of fast preliminary and evaluating calculations, quick-and-dirty prediction, etc. The results of numerical experiments on comparison of calculations by fast models and full ones are represented in the paper, the degree of an error of fast models is estimated. The using of combined models based on both distributed parameters and lumped parameters models seems the rather promising way for enhancement of calculation efficiency. 919 Other important sphere of application of such models may serve operational management and on-line control of water supply network. It is necessary to be able to estimate consequences of those or other control actions on work of the system for quick selection of optimum control strategy of such system's work. Application of the above-mentioned models will allow obtain such estimations in real-time operation mode that will allow correct and/or make a choice of the best control sufficiently promptly. The example of such approach’s application for piping system and comparison with experimental data are represented.
Year: 2005