1. NEW RESULTS ON WATER HAMMER STABILITY.
- Author
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Răsvan, Vladimir
- Subjects
- *
WATER hammer , *ORDINARY differential equations , *NONLINEAR differential equations , *PARTIAL differential equations , *HYPERBOLIC differential equations , *FUNCTIONAL differential equations - Abstract
The present paper starts from a model with distributed parameters (i.e. described by hyperbolic partial differential equations with non-standard (derivative) boundary conditions) of a hydroelectric power plant with tunnel, surge tank and penstock. The association of a system of functional differential equations of neutral type and the one-to-one correspondence between the solutions of the two mathematical objects is given. Further, it is given the deduction - via singular pertur-bations - of the nonlinear ordinary differential equations for modeling the surge tank in order to discuss its stability under constant power delivery of the hydraulic turbine. Some other unsolved problems are pointed out. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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