Question

Q-7      The inlet temperature Ti(t) is a process disturbance and the heater Q(s) is adjusted to maintain the outlet temperatureT(t) at a specified set point.

1. Start with the following energy balance and find T(s)/Ti(s) and T(s)/Q(s)

2. Determine if the two transfer functions are combined in parallel (additive) or series (multiplicative) and input the transfer functions in the appropriate boxes.

Transfer Functions in Parallel:

Transfer function in series:

1. Show how the two transfer functions T(s)Ti(s) and T(s)Q(s) would fit into an overall control block diagram and label each block and the signal connections between each block. (Cross off any blocks not needed for this problem.)

X1 (S) n(s) Y(s) G2(s) X1 (s) Y(s) G(S) Ģ(s) Disturbance Step Disturbance Actual PV Error OP PID Setpoint Step Controller Actuator Process Delay Measured PV Sensor

Answer 1

ST: eay hid omce ( nkゴ Q(s) header → aeagy balouce i fven as d-t evcr Lot us taka rvop so, eucaay bolanta. comes out as dT' dt Takin, Latlace Trawtetu 앙 above equaticu, luau get aca Trrauos above eau Ti (s S+a

tee CpS+i Tt (S (s +a) TCs) b 4 (s) = TlS) b/a a + 1 CSt て aus +1

TIC Giles= TCS) q (S)

TI(s Distursbauka Disturbance ste Actua ャv oP PID 4ts) Ts Controlles Actuotor Delay Cess Senso 3