This article is cited in 3 papers

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Mathematical modelling of branched hydraulic systems

N. V. Kassina, L. V. Smirnov

Research Institute of Mechanics, N. I. Lobachevsky State University of Nizhni Novgorod, Gagarin Ave. 23/6, GSP-100, Nizhni Novgorod, 603600, Russia

Abstract: Solving the problem of stationary stream distribution for an arbitrary volume-free hydrosystem with a free level can be reduced to determining the extremes of a multi-variable function. Rayleigh function expressed in terms of the hydraulic characteristics of the parts of the system in question is used as such a function. The same function is Lyapunov function when analyzing the stability of the determined stationary operational modes of a hydrosystem using the direct Lyapunov method.

Keywords: hydraulic systems, Rayleigh function, Lyapunov function.

Received: 26.09.2008

DOI: 10.20537/2076-7633-2009-1-2-173-179