Problem 1 Find an expression for the complete output when all input are acting simul- taneously. G₁ H quaf H₂ G₂

Elements Of Electromagnetics
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Problem 1 Find an expression for the complete output when all input are acting simul-
taneously.
R₁
8(0)
Voln
G₁
Proportional
Controller
Problem 2 The elements of a closed-loop temperature control system.
The walls of the oven have a thermal resistance Rr and the oven has a thermal capacitance
Cr and an operating temperature 8(t).
K₁
R(s) a
u(1)
|||
H₂
K₂
G₂
H₂
Valve/Burner
Measurement Systems
PID Controller
K₂
H₂
→
Re(s)
G₂
Qin Thermometer
The heat transfer equation of the oven may be written as Q.(t) = C₁
=>
The system parameters are: K₁= 5, K₂ = 1.5J/V, H₂ = 1V/K, Rr = 2K/J, Cr=
25.Js/W.
R
O
Find:
(1) The open-loop time constant.
(2) The closed-loop time constant.
(3) The percentage steady-state error in the output when the desired value is constant.
6:40
Problem 3 A process plant controlled via a PID controller is shown in the figure below.
1
(1)
Process Plant
Rr
(1+7.4)(1+7;4)
(1) Find and expression for the complete response C(s) when R₁ (s) and R₂(s) act simul-
taneously.
(2) Using the Ziegler-Nichols process reaction method, determine the values of K₁, Ti,
and Ta when T₁ = 10 seconds and T₂ = 20 seconds..
C(s)
Transcribed Image Text:Problem 1 Find an expression for the complete output when all input are acting simul- taneously. R₁ 8(0) Voln G₁ Proportional Controller Problem 2 The elements of a closed-loop temperature control system. The walls of the oven have a thermal resistance Rr and the oven has a thermal capacitance Cr and an operating temperature 8(t). K₁ R(s) a u(1) ||| H₂ K₂ G₂ H₂ Valve/Burner Measurement Systems PID Controller K₂ H₂ → Re(s) G₂ Qin Thermometer The heat transfer equation of the oven may be written as Q.(t) = C₁ => The system parameters are: K₁= 5, K₂ = 1.5J/V, H₂ = 1V/K, Rr = 2K/J, Cr= 25.Js/W. R O Find: (1) The open-loop time constant. (2) The closed-loop time constant. (3) The percentage steady-state error in the output when the desired value is constant. 6:40 Problem 3 A process plant controlled via a PID controller is shown in the figure below. 1 (1) Process Plant Rr (1+7.4)(1+7;4) (1) Find and expression for the complete response C(s) when R₁ (s) and R₂(s) act simul- taneously. (2) Using the Ziegler-Nichols process reaction method, determine the values of K₁, Ti, and Ta when T₁ = 10 seconds and T₂ = 20 seconds.. C(s)
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