Simulink_Examples_2010

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
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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
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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
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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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Simulink_Examples_2010 - Modeling Engineering Applications...

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