Wave‐Motion Stability in Canals with Automatic Controllers
Publication: Journal of Hydraulic Engineering
Volume 118, Issue 12
Abstract
Analytical methods are used to obtain criteria for wave‐motion stability in canals with automatic feedback controllers. With this purpose the Saint‐Venant wave‐motion differential equations are linearized, as well as the equation of the discharge through check gates of the canal and the boundary conditions determined by the selected control method. The analysis is done for the COPI‐BIVAL water level automatic control method, which is more general than the BIVAL water‐level control method, well known in France. According to the Nyquist criterion a characteristic function F(s) of the closed‐loop system is defined, using the Laplace transform of the governing wave‐motion equations. The criterion of the wave‐motion stability is obtained for the canal with one and more poles, taking into account the influence of the friction forces. The authors also present the study results of the wave‐motion stability in canals obtained by numerical simulation, using the nonlinear equations. A comparison between the numerical simulation results and the analytical Nyquist criterion shows good agreement.
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Published In
Journal of Hydraulic Engineering
Volume 118 • Issue 12 • December 1992
Pages: 1621 - 1638
Copyright
Copyright © 1992 ASCE.
History
Published online: Dec 1, 1992
Published in print: Dec 1992
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