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Problem 2 The input to the shown fluid system is qi which is the inlet flow...
4 * 165+4)* lyzů + 7 + 2x 1. Consider a two-tank fluid-level control system shown...
4 * 165+4)* lyzů + 7 + 2x 1. Consider a two-tank fluid-level control system shown below. The level of the second tank is to be controlled. Let hy be the height of the fluid in the first tank and hy be the height of the fluid in the second tank. The input, u is a valve to let fluid into tank 1. The output, y is measurement of hz. A linear model of this system and a first order...
For the Fluid system shown below: 02E Qi Write the appropriate governing equations in the Laplace...
For the Fluid system shown below: 02E Qi Write the appropriate governing equations in the Laplace domain to obtain the transfer function Tank 2 L--w Tank 1 R3 H1+ h LTL o
For the Fluid system shown below: 02E Qi Write the appropriate governing equations in the Laplace domain to obtain the transfer function Tank 2 L--w Tank 1 R3 H1+ h LTL o
Question 2 a) The following diagram show a liquid-level storage tank with q, and qi is...
Question 2 a) The following diagram show a liquid-level storage tank with q, and qi is the inlet and outlet volumetric flow rate of the tank. Ri is the resistance valve whereas Hi is the liquid level of the tank. Find the transfer function relating change in level, Qi', to the changes in flow rate into the tank, Q' (State your assumption) (10 marks) b) An electrically heated process is known to exhibit second order dynamics. The heater input change...
A stirred tank flow reactor is operating in continuous mode (shown below), and an exothermic (heat...
A stirred tank flow reactor is operating in continuous mode
(shown below), and an exothermic (heat generating) chemical
reaction is taking place inside the reactor. The control objective
is to maintain the concentration of product at a desired value (set
point). The conversion of chemical reaction is highly dependent on
the reaction temperature. To maintain the reaction temperature at
the desired value, a cooling water jacket is used for the reactor.
The major input disturbance is fluctuation in the temperature...
1. Consider a single tank for flow rate control and water level regulation. A single tank...
1. Consider a single tank for flow rate control and water level regulation. A single tank subject to the pump dynamics can be modeled as follows Tank dynamics: h.-le,-4M h, -e-eyh.), Pump dynamics: Q,-1(av,-0) Pump dynamics: Q,--(av,-Q.) Tank dynamics: where the parameters are defined as follows: h :water level c: valve resistance r: time constant S,: water tank area Q,: supplied flow rate a: voltage scaling factor ,: applied control input voltage (all the coefficients are positive) (A). Please apply...
(20%) Problem 2 The circular tank shown in Figure 2 below has a steady state level of 50 m for a flow rate Q 2.5 m3/s....
(20%) Problem 2 The circular tank shown in Figure 2 below has a steady state level of 50 m for a flow rate Q 2.5 m3/s. Determine the flow resistance at the outlet If the flow rate is suddenly increased to 2.52 m3/s, Determine: A. (2.5%) B. (7.5%) (5%) (5%) The level of the liquid when the system reaches steady state again. The time constant and the time dependent response of tthe system. The 2% settling time of the system....
Problem 2. A signal flow graph for a system with input (k) and output y(k) is...
Problem 2. A signal flow graph for a system with input (k) and output y(k) is shown in Figure 1. 0.005 r(k) ei(k) z1v2(k) Vk) 0.03 0.1 0.05 e2(k) y(k) 0.07 e2(k) 11 0.7 0.2 V4(k) y(k) 0.9 0.4 Figure 1. Signal flow graph of a system. e) Find a state-space representation of the system in Figure 1 with state variables Find the transfer functionusing using Mason's gain rule and one other technique to verify the R(E) result g) Suppose...
Q2. The figure shows a hydraulic control system (Fluid system). 9. Equations of Tank: qi(t) =...
Q2. The figure shows a hydraulic control system (Fluid system). 9. Equations of Tank: qi(t) = Pi +Vx(t), qi(t) = Ah' (t) + 4o(t) , 4o(t) = n(t)/R Given: ico) = 10 C, R, = 3 ses A = 2 m3 , Vx(t) = -K;h(t) sec ! c) yss a). Block diagram (close loop) d) ts (tolerance 2%). b) Find the transfer function e) Error steady state ess Qi(s) f) yo
The valve shown is the type used in the control of water in large conduits. Model tests are to be done, using 20oC water as the fluid in both the model and the prototype, to determine how the valve wi...
The valve shown is the type used in the control of water in
large conduits. Model tests are to be done, using 20oC water as the
fluid in both the model and the prototype, to determine how the
valve will operate under wide-open conditions. The prototype size
is 2 m in diameter at the inlet and the model inlet diameter is 0.5
m. What flow rate is required for the model if the prototype flow
rate is 15 m3 /s?...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input x(t) 1. ド ド Ki Derive the transfer function X,G)/X, (s)of the mechanical system shown below. The displacements x, and xo are measured from their respective equilibrium potions. Is the system a first-order system if so, what is the time constant? 2. k1 bz k2 3. Consider the mechanical system shown below. The system is initially at rest. The displacements x, and x2 are...
4 * 165+4)* lyzů + 7 + 2x 1. Consider a two-tank fluid-level control system shown below. The level of the second tank is to be controlled. Let hy be the height of the fluid in the first tank and hy be the height of the fluid in the second tank. The input, u is a valve to let fluid into tank 1. The output, y is measurement of hz. A linear model of this system and a first order...
For the Fluid system shown below: 02E Qi Write the appropriate governing equations in the Laplace domain to obtain the transfer function Tank 2 L--w Tank 1 R3 H1+ h LTL o
For the Fluid system shown below: 02E Qi Write the appropriate governing equations in the Laplace domain to obtain the transfer function Tank 2 L--w Tank 1 R3 H1+ h LTL o
Question 2 a) The following diagram show a liquid-level storage tank with q, and qi is the inlet and outlet volumetric flow rate of the tank. Ri is the resistance valve whereas Hi is the liquid level of the tank. Find the transfer function relating change in level, Qi', to the changes in flow rate into the tank, Q' (State your assumption) (10 marks) b) An electrically heated process is known to exhibit second order dynamics. The heater input change...
A stirred tank flow reactor is operating in continuous mode
(shown below), and an exothermic (heat generating) chemical
reaction is taking place inside the reactor. The control objective
is to maintain the concentration of product at a desired value (set
point). The conversion of chemical reaction is highly dependent on
the reaction temperature. To maintain the reaction temperature at
the desired value, a cooling water jacket is used for the reactor.
The major input disturbance is fluctuation in the temperature...
1. Consider a single tank for flow rate control and water level regulation. A single tank subject to the pump dynamics can be modeled as follows Tank dynamics: h.-le,-4M h, -e-eyh.), Pump dynamics: Q,-1(av,-0) Pump dynamics: Q,--(av,-Q.) Tank dynamics: where the parameters are defined as follows: h :water level c: valve resistance r: time constant S,: water tank area Q,: supplied flow rate a: voltage scaling factor ,: applied control input voltage (all the coefficients are positive) (A). Please apply...
(20%) Problem 2 The circular tank shown in Figure 2 below has a steady state level of 50 m for a flow rate Q 2.5 m3/s. Determine the flow resistance at the outlet If the flow rate is suddenly increased to 2.52 m3/s, Determine: A. (2.5%) B. (7.5%) (5%) (5%) The level of the liquid when the system reaches steady state again. The time constant and the time dependent response of tthe system. The 2% settling time of the system....
Problem 2. A signal flow graph for a system with input (k) and output y(k) is shown in Figure 1. 0.005 r(k) ei(k) z1v2(k) Vk) 0.03 0.1 0.05 e2(k) y(k) 0.07 e2(k) 11 0.7 0.2 V4(k) y(k) 0.9 0.4 Figure 1. Signal flow graph of a system. e) Find a state-space representation of the system in Figure 1 with state variables Find the transfer functionusing using Mason's gain rule and one other technique to verify the R(E) result g) Suppose...
Q2. The figure shows a hydraulic control system (Fluid system). 9. Equations of Tank: qi(t) = Pi +Vx(t), qi(t) = Ah' (t) + 4o(t) , 4o(t) = n(t)/R Given: ico) = 10 C, R, = 3 ses A = 2 m3 , Vx(t) = -K;h(t) sec ! c) yss a). Block diagram (close loop) d) ts (tolerance 2%). b) Find the transfer function e) Error steady state ess Qi(s) f) yo
The valve shown is the type used in the control of water in
large conduits. Model tests are to be done, using 20oC water as the
fluid in both the model and the prototype, to determine how the
valve will operate under wide-open conditions. The prototype size
is 2 m in diameter at the inlet and the model inlet diameter is 0.5
m. What flow rate is required for the model if the prototype flow
rate is 15 m3 /s?...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input x(t) 1. ド ド Ki Derive the transfer function X,G)/X, (s)of the mechanical system shown below. The displacements x, and xo are measured from their respective equilibrium potions. Is the system a first-order system if so, what is the time constant? 2. k1 bz k2 3. Consider the mechanical system shown below. The system is initially at rest. The displacements x, and x2 are...
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