1. Consider a single tank for flow rate control and water level regulation. A single tank...
Question A1 A single tank process has first order dynamics. When the inlet flow rate is chosen as the input and the level as the output, the transfer function is as follows. 5 G(s) - H(s) 2. (S) S +1 91(t) h(t) *7 q:(0) q2(t) Fig. Q.Al schematic of the liquid level process (a) Determine the system constant t and steady state gain K. [6 marks] (b) For a unit step input q, (t) = 1(1), determine the time response...
please do 1,2,3 Consider two tanks in series. Water flows into the first tank at a rate controlled by a control valve. The height of water in each tank is measured by a transducer at the bottom of the tank. The time constant for these transducers is 5 msec. These heights are sent to a Pl controller that outputs a voltage to the control valve. (You may assume the control ler simply outputs a flowrate.) The flowrate out of each...
Question 1 (15 points): An incompressible fluid (such as water) enters the tank and exits through the valve in the bottom. The fluid height (also known as head) in the tank is variable. The valve resistance is R. Derive the system equation with input q, and output h. Hint: Review modeling examples in Chapter 2 of the text book A = Tank surface area ,p-water density Output flow Question 1 (15 points): An incompressible fluid (such as water) enters the...
Consider a two-tank system, where x, is the level of the first tank, and x2 is the level of the second tank. This dynamic system is described by the -xj-x2. The output to be Q4. following model: dt controlled is the level of the second tank. (a)Write down the state-space model in matrix form. Verify the 20% (b)Design a state feedback controller so that the closed-loop poles are 25% controllability of the system located at -3 and -4 (c) The...
Consider the liquid level system shown in Figure 1. At steady state, the inflow rate and outflow rate are both Ở and the flow rate between the tanks is zero. The heads at tank 1 and tank 2 are both H. At t = 0, the inflow rate is changed from 0 to + , where is the small change in the inflow rate. The resulting changes in the heads (h/ and h2) and flow rates are assumed to be...
The state space model of an interconnected three tank water storage system is given by the following equation -3 1 o 1[hi] dt The heights of water in the tanks are, respectively, hi, h2, hz. Each tank has an independent input flow; the volume flow rates of input water into the three tanks are, respectively, qii,qi2, Oi3. Each tank also has a water discharge outlet and the volume flow rates of water coming out of the tanks are, respectively, qo1,...
A turbo pump transfers water from tank 1 to tank to tank 2 as shown in the picture below. The diameter of the piping system is D= 4in and the total length of pipes is L=620 ft. the elevation difference is Z1-Z2= 30ft. Use the chart for KL values. a) determine the flow rate (Q) b) power of the pump in HP Note that you can write out both mass balance equation and energy equation of the head form for...
A turbo pump transfers water from tank 1 to tank to tank 2 as shown in the picture below. The diameter of the piping system is D= 4in and the total length of pipes is L=620 ft. the elevation difference is Z1-Z2= 30ft. Use the chart for KL values. a) determine the flow rate (Q) b) power of the pump in HP Note that you can write out both mass balance equation and energy equation of the head form for...
A pump transports water from Tank 1 to Tank 2 through a constant-diameter piping system as shown below (not to scale). The flow rate is controlled by two gate valves, the gate valve I controls the main pipeline, while the gate valve II controls the loop line from T-joint A to T-joint B. All pipes are galvanized steel pipe of diameter D = 4 in. It has a total length of Li2= 620 ft from tank 1 to tank 2....
water in a tank tank U Valve and Alarm Control CLM EELE 261 Pre-Lab 5 Problem I·The narrative for valve 11 as given in the lab handout is The hot water inlet valve//ls open when the water level is below, level switch Lorthe temperature is below Th Build the Truth Table and obtain a Boolean equation for H Problem 2. According to the narratives, when an unphysical state is delected, the control valve H should be forced closed regardless of...