Control system & automation HNC 4th assignment

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assessment_4.pdf

1. A control valve is to be used to control water flow at a maximum rate of

120 US gallons per minute. If the maximum pressure drop across the

valve is 100 psi, determine the valve size required for this particular

application. The table below relates CV and valve size.

TABLE 1

Valve size (inches)

1

1

2

3

4

6

8

CV

0.3

3

14

35

55

108

174

400

725

1 2

1 4

1 2

2

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2. FIGURE 1 shows the valve characteristics of three different types of

valve trim.

FIG. 1

(i) Identify each of the three characteristics.

(ii) State, with reasons, a typical type of application for each of the three

types of valve trim.

0 20

20

40

% Valve opening

40 60 80 100

% F

lo w

r a te

( co

n st

a n t

p d )

80

100

60

(a)

(b)

(c)

0

3

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3. Write brief notes on the following topics:

(a) flashing in control valves

(b) cavitation in control valves

(c) control valve noise

(d) reasons for the use of valve positioners.

4. The level of liquid in an open tank (FIGURE 2) is to be controlled by

regulating the flow of liquid into the vessel.

(a) Complete the drawing to show how the level can be controlled by

linking the liquid inflow and liquid level controls in cascade.

(b) Draw a control block diagram of the cascaded system.

(c) Describe the response of the cascaded system to a change in the

measured level of liquid.

FIG. 2

F1 FCV 1

F1C 1

L1C 1

4

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5. FIGURE 3 shows the block diagram of the control of an electric heating

system. The heater is driven from a voltage-controlled power supply, the

voltage V1 being derived from a potientiometer. The output temperature,

θO, is subject to disturbances, θD, because of changes in the ambient temperature. It is proposed to apply 'disturbance feedback control' to the

system by the inclusion of a transducer that measures the external

temperature and feeds a signal back to the input via a proportional

controller of gain H.

Determine the required value of H to eliminate the effect of the disturbance.

FIG. 3

2 amps/volt

θO

θD

V1

0.05 V/ °CH

0.4 °C/amp

Proportional controller

Proportional controller

Proportional controller Transducer

Power supply

Heater

+ –

+ +

5

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6. The purpose of the arrangement shown in FIGURE 4 is to mix the two

liquid products A and B in a fixed mass ratio. Product A, which is itself a

mixture, is a 'wild' flow, whilst product B, a pure compound, is controlled.

As the mixture leaves the tank the transmitter ρTX measures its density.

(a) Complete the diagram to show how the arrangement could be

controlled by the method of 'variable ratio control'.

(b) Identify which transmitter provides 'feedforward'.

(c) Describe how the control system responds to a disturbance caused by

a variation in the density of product A.

FIG. 4

Product B

Mixing tank

FTXFTX

Mixture

ρTX

Product A

6

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7. FIGURE 5 shows a partially completed diagram of a flow control system.

The flow controller is reverse acting and has a 0.2 to 1.0 bar pneumatic

output signal which will supply both control valves V1 and V2.

The small range control valve, V2, only needs to operate on the first 25%

output change of the controller output signal. For larger flow rates the

small range valve will remain fully open and control will be achieved by

operation of the large range valve. Note the differing air failure action of

the two valves.

FIG. 5

Design a system utilising valve positioners which will meet the prestated

specifications.

Large range

Small range

CAF

V1

OAF

V2

FC RA

7

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