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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References
1.
Balogun, O. S., Hubbard, M., and DeVries, J. J. (1988). “Automatic control of canal flow using linear quadratic regulator theory.” J. Hydr. Div., ASCE, 114(1), 75–102.
2.
Buyalski, C. P., and Falvey, H. T. (1976). “Stability of automated canal systems utilizing the frequency response.” Proc., IAHR Symp.—Fluid Motion Stability in Hydraulic Systems with Automatic Regulators, Bucharest, Romania.
3.
Buyalski, C. P., and Serfozo, E. (1979). “Electronic filter level offset (EL‐FLO) plus RESET equipment for automatic downstream control of canals.” REC‐ERC‐79‐3, Engrg. and Res. Ctr., Denver, Colo.
4.
Gibson, J. E. (1963). Nonlinear automatic control. McGraw‐Hill Co., Inc., New York, N.Y.
5.
Guide pour la projection et l'exploitation des systèmes d'irrigation automatisées. (1980). Ministère de l'Agriculture de la Roumanie—SOIUZAVTOMATIKA de l'URSS, Bucharest, Romania, (in Romanian).
6.
Hancu, S. (1971). “Irrigation automatisée.” Bulletin d'irrigation et de drainage No. 5, Organisation des Nations Unies pour l'Alimentation et l'Agriculture, Rome, Italy (in French).
7.
Hancu, S., and Dan, P. (1984). “Quelque problèmes hydrauliques a l'automatisation des canaux d'adduction de l'eau dans les systemes d'irrigation Covurlui.” Comptes Rendus du Second Symposium d'Hydraulique de l'AIRH, Bucharest, Romania, 98–106 (in French).
8.
Hancu, S., Dan, P. et al. (1985). Applied hydraulics. Ed. Tehnica, Bucharest, Romania (in Romanian).
9.
Hancu, S., and Rus, E. (1974). “Stabilité du mouvement de l'eau dans les canaux d'adduction des systèmes d'irrigation à fonctionnement automatique.” Revue Roumaine Sc. Technique—Mècanique Appliquée, 19(3), Bucharest, Romania (in French).
10.
Hancu, S., Rus, E., and Dan, P. (1976a). “Modèles mathématiques pour l'etude de la stabilité du mouvement de l'eau dans des canaux d'adduction à régulateurs automatiques.” Comptes Rendus du Symposium d'Hydraulique de l'AIRH, Bucharest, Romania, 69–84 (in French).
11.
Hancu, S., Rus, E., and Dan, P. (1976b). “Résultats comparatifs expérimentaux et théoriques concernant la stabilité du mouvement de l'eau dans des canaux à régulateurs automatiques.” Comptes Rendus du Symposium d'Hydraulique de l'AIRH, Bucharest, Romania, 85–97 (in French).
12.
Materiel d'equipementpour canaux à surface libre. (1968). Report NEYRPIC, Paris, France (in French).
13.
Preissman, A., and Chevereau, G. (1976). “Rémarques sur le choix des méthodes d'appréciation de la qualité des divers systèmes de regulation de canaux à surface libre.” Comptes Rendus du Symposium d'Hydraulique de l'AIRH, Bucharest, Romania (in French).
14.
Rapport sur le Project du Système d'irrigation Carasu. (1968). SOGREAH—Ministère de l'Agriculture de la Roumanie, Bucharest, Romania (in Romanian and French).
15.
Savant, C. J., Jr. (1964). Control system design. McGraw‐Hill, Inc., New York, N.Y.
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Copyright © 1992 ASCE.
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Published online: Dec 1, 1992
Published in print: Dec 1992
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