A NUMERICAL METHOD FOR SOLVING THE EQUATIONS OF HYDRAULICS AND OF NONLINEAR ELECTRIC DC CIRCUITS

The hydraulics equations are reduced to the form of the equations of nonlinear electric circuits by introducing hydraulic resistances, which are analogous to electric resistances. The hydraulic resistances depend on unknown discharges and are calculated from the discharges on the previous iteration. As a result, on the new iteration step it is possible to solve a system of linear equations, from which discharges on the iteration half-step are found. Discharges on the new iteration step are represented as linear combinations of discharges on the half-step and on the previous step. The possibilities of the method are shown using the example of a hydrosystem with two pumps and three fl ow governors
   
Author:  K. O. Sabdenov
Keywords:  pipeline, hydraulic system, numerical methods of hydraulics, iteration method
Page:  179