- #1
bobboviking
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Steady-state HELP!
Hi guys, I really need some help with this!
I have this set of equations for an evaporator which I want to calculate x0 and u0 for the steady state
mdotin(hin - hg) + (B1/Ltot)*L1(Tw1 - Tr1) = 0
mdotout(hg - hout) + (B2/Ltot)*L2(Tw2 - Tr2) = 0
mdotin - mdotout = 0
B3(Ta - Tw1) -B1(Tw1 - Tr1)
B3(Ta - Tw2) -B2(Tw2 - Tr2)
where B1,2,3 are constant values
Ta is the surrounding air on the evaporator
Ltot is the total length of the evaporator
L2 = Ltot - L1
hg the enthalpy of the vapor refrigerantMy state variables are x = [L1 P hout Tw1 Tw2] and my control inputs are u = [mdotin mdotout hin] which results in the following set of equations
u1(u3 - hg) + (B1/Ltot)*x1(x4 - Tr1) = 0
u2(hg - x3) + (B2/Ltot)*(Ltot - x1)(x5 - Tr2) = 0
u1 - u2 = 0
B3(Ta - x4) - B1(x4 - Tr1) = 0
B3(Ta - x5) - B2(x5 - Tr2) = 0I don't really know how to find the values of x0 and u0 from here.
I would highly appreciate some help!
Thanks in advance,
Andreas
Hi guys, I really need some help with this!
I have this set of equations for an evaporator which I want to calculate x0 and u0 for the steady state
mdotin(hin - hg) + (B1/Ltot)*L1(Tw1 - Tr1) = 0
mdotout(hg - hout) + (B2/Ltot)*L2(Tw2 - Tr2) = 0
mdotin - mdotout = 0
B3(Ta - Tw1) -B1(Tw1 - Tr1)
B3(Ta - Tw2) -B2(Tw2 - Tr2)
where B1,2,3 are constant values
Ta is the surrounding air on the evaporator
Ltot is the total length of the evaporator
L2 = Ltot - L1
hg the enthalpy of the vapor refrigerantMy state variables are x = [L1 P hout Tw1 Tw2] and my control inputs are u = [mdotin mdotout hin] which results in the following set of equations
u1(u3 - hg) + (B1/Ltot)*x1(x4 - Tr1) = 0
u2(hg - x3) + (B2/Ltot)*(Ltot - x1)(x5 - Tr2) = 0
u1 - u2 = 0
B3(Ta - x4) - B1(x4 - Tr1) = 0
B3(Ta - x5) - B2(x5 - Tr2) = 0I don't really know how to find the values of x0 and u0 from here.
I would highly appreciate some help!
Thanks in advance,
Andreas
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