3. Dynamics and control of two tank in series The following system is given: A water storage Tank 1 in which water is stored at atmospheric pressure and distributed by gravity flow in a downfeed in the same type water storage Tank 2. Where: h1, h2 is water level(m), S1, S2 is squared area of botom of the tank cilinders (m²),F1 in/F2in-water inflow, F1/F2 out- water outflow(m³/h), kl, k: Valve constant (m25/h), pipe length is ommited.

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
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3. Dynamics and control of two tank in series The
following system is given: A water storage Tank 1 in which
water is stored at atmospheric pressure and distributed by gravity
flow in a downfeed in the same type water storage Tank 2.
Where: h1, h2 is water level(m), S1, S2 is squared area of botom
of the tank cilinders (m²),F1 in/F2in-water inflow, F1/F2out- water
outflow(m³/h), k1, k: Valve constant (m²5/h), pipe length is
2.5
ommited.
F1in
h1
S1
Tank 1
k1
h2
F1 out
F2 in
S2
k2
F2 out
Tank 2
3.1 Describe the dynamic behavior of a tank 1 in terms of
ordinary differential equations.
3.2 Describe the dynamic behavior of the level h2/ tank 2/, due
to the input flow Flin. in terms of ordinary differential equations.
3.3 Determine the transfer function of the level h2 as output,
due to the input flow Flin.
3.4 Select the strategy to control the plant / level control system /
with Flin as control action and output- level h2/ tank 2 /
Design the proper instrumentation and Sketch the P&ID
instrumentation diagram/.
Transcribed Image Text:3. Dynamics and control of two tank in series The following system is given: A water storage Tank 1 in which water is stored at atmospheric pressure and distributed by gravity flow in a downfeed in the same type water storage Tank 2. Where: h1, h2 is water level(m), S1, S2 is squared area of botom of the tank cilinders (m²),F1 in/F2in-water inflow, F1/F2out- water outflow(m³/h), k1, k: Valve constant (m²5/h), pipe length is 2.5 ommited. F1in h1 S1 Tank 1 k1 h2 F1 out F2 in S2 k2 F2 out Tank 2 3.1 Describe the dynamic behavior of a tank 1 in terms of ordinary differential equations. 3.2 Describe the dynamic behavior of the level h2/ tank 2/, due to the input flow Flin. in terms of ordinary differential equations. 3.3 Determine the transfer function of the level h2 as output, due to the input flow Flin. 3.4 Select the strategy to control the plant / level control system / with Flin as control action and output- level h2/ tank 2 / Design the proper instrumentation and Sketch the P&ID instrumentation diagram/.
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