# Simulink_Examples_2010 - Modeling Engineering Applications...

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Dr. A. A. Trani CEE 3804 Computer Applications in CEE Modeling Engineering Applications Using Simulink 1

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Modeling A Water Distribution System Using Simulink 2
Water Distribution System Water is stored in a tank with height h and area a The water for the tank is pumped (using mechanical means) to the tank Water is distributed to two cities from the tank as the demands of both cities change 3

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Water Control System The water height (called “head” in hydraulics) in the reservoir is controlled by pumping water form the river to the reservoir The idea is to maintain a desired head (height) in the reservoir providing enough water pressure for distribution to the cities (Buena Vista and Crystal City) A simple “algorithm” is to maintain a constant head in the reservoir to some desired height ( ) If the water level in the reservoir falls below the desired head, then water is pumped according to the difference between the actual height ( ) and the desired height h desired h t 4
Details of Water Control System Q in Q out h desired h t discrepancy 5

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Basic Equations 6 dVol t dt = Q in Q out Q out = Q CrystalCity + Q BuenaVista Q in = disc * k pump disc = h desired h t h t = Vol t / area The values of area, desired head and demand volumes are known Rate of change of volume of reservoir Demand volumes Volume into reservoir Discrepancy of head Head of reservoir
Steady-State Analysis Look at the system as time goes to infnity Rates oF change oF the system are in equilibrium 7 dVol t dt = Q in Q out = 0 Q out = Q CrystalCity + Q BuenaVista = disc * k pump Q

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## This note was uploaded on 01/01/2012 for the course CEE 3804 taught by Professor Aatrani during the Spring '07 term at Virginia Tech.

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Simulink_Examples_2010 - Modeling Engineering Applications...

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