Control ENG HW_Part_25

# Control ENG HW_Part_25 - 2 2 2 2 1 1 s H s A R s H R s H...

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Writing heat balance equation for tank 1 dt dh A q q q a 1 1 1 = - - 1 1 1 R h q = a a R h q 1 = dt dh A R h R h q a 1 1 1 1 1 = - - = writing the balance equation for tank 2 dt dh A q q 2 2 2 1 = - dt dh A R h R h 2 2 2 2 1 1 = - writing steady state equations 0 1 1 = - - R s h R h q a s s

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0 2 2 1 1 = - R s h R s h writing the equation in terms of deviation variables dt dH A R R H Q a 1 1 1 1 1 1 = + - dt dH A R H R H 2 2 2 2 1 1 = - taking laplace transforms s H A R R R R s H s Q S a 1 1 1 2 1 1 ) ( ) ( = + - -----------(1) and
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Unformatted text preview: ) ( ) ( ) ( 2 2 2 2 1 1 s H s A R s H R s H =------------(2) from (1) we get + + = a a R R R R s A s Q s H 1 1 1 1 1 ) ( ) ( + + + = 1 ) ( ) ( 1 1 1 1 1 1 s R R A R R R R R R s Q s H a a a a...
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Control ENG HW_Part_25 - 2 2 2 2 1 1 s H s A R s H R s H...

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