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The blending tank shown in figure ( 1 ) below, may be assumed to be perfectly mixed two streams. Figure 1 : stirred - tank
The blending tank shown in figure below, may be assumed to be perfectly mixed two streams.
Figure : stirred tank blending system
Stream is a mixture of two chemical species A and B its mass flow rate is and its mass fraction of is Stream is a mixture of the same species A and its mass flow rate is and its mass fraction of is The mass fraction of in the exit stream is denoted by and the total mass flow rate is It is desired to control the mass fraction of A at the exit The volume of the liquid can change in the tank however, the liquid density is constant.
Let be the manipulated variable and be the disturbance, and have constant values and the density the steady state values for the operating conditions are:
Study the above system process, then do the following:
Identify state variables, input variables.
Derive the differential equation that describes the dynamics of state variable.
Build the dynamic model of the system.
Linearize the model around the steady state values.
Use Laplace transform to get the transfer function.
Draw the block diagram of the system.
Simulate the uncontrolled system using Simulink.
Design a ratio controller to set the value of at
Describe the advantages and disadvantages of ratio control.
Simulate the controlled system using Simulink.
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