Surge Tank Stability by Phase Plane Method

by M. Hanif Chaudhry, (A.M.ASCE), Engr.; Int. Power and Engrg. Consultants, Vancouver, B.C., Canada,
Eugen Ruus, (M.ASCE), Assoc. Prof.; Dept. of Civ. Engrg., The Univ. of British Columbia, Vancouver, B.C., Canada,

Serial Information: Journal of the Hydraulics Division, 1971, Vol. 97, Issue 4, Pg. 489-503

Document Type: Journal Paper


Using the phase plane method, the stability of oscillations in a simple surge tank is studied for the following cases: constant discharge, constant gate opening, constant power, and constant power combined with constant gate opening. Several quantitative results are obtained from the analysis of singular points. A number of phase portraits are presented to show the effect of changes in different parameters on the qualitative behavior of the system.

Subject Headings: Water storage | Water tanks | Gates (hydraulic) | Oscillations | Water discharge | Quantitative analysis | Parameters (statistics)

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