An approximate model for a motor-compressor combination used in a process control application is...

Question

An approximate model for a motor-compressor combination used in a process control application is shown Figure P2.28.

A model of a single-degree-of-freedom robot.

Note that T, J, k, b, and w denote torque, moment of inertia, torsional stiffness, angular viscous damping constant, and angular speed, respectively, and the subscripts m and c denote the motor rotor and compressor impeller, respectively.

a. Sketch a translatory mechanical model that is analogous to this rotatory mechanical model.

b. Draw a linear graph for the given model, orient it, and indicate all necessary variables and parameters on the graph.

c. By following a systematic procedure and using the linear graph, obtain a statespace representation of the given model. The outputs of the system are compressor speed ωc and the torque T transmitted through the drive shaft.

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Banasree · Accepted Answer

MOTOR COMPRESSOR
An approximate model for a motor-compressor combination used in a process control application is shown Figure P2.28.
A model of a single-degree-of-freedom 
Note that T, J, k, b, and w denote torque, moment of inertia, torsional stiffness, angular viscous damping constant, and angular speed, respectively, and the subscripts m and c denote the motor rotor and compressor impeller, respectively.
a. Sketch a translatory mechanical model that is analogous to this rotatory mechanical model.
b. Draw a linear graph for the given model, orient it, and indicate all necessary variables and parameters on the graph.
c. By following a systematic procedure and using the linear graph, obtain a state space representation of the given model. The outputs of the system are compressor speed ωc and the torque T transmitted through the drive shaft.
Ans.    Motor compressor is mechanical system. Figure P4.6 is rotational mechanical systems move on fixed axis.
a. This motor compressor model system has three elements, they are moment of inertia (J), torsional stiffness (k), angular speed(ω) and dashpot/damper (b).

An approximate model for a motor-compressor combination used in a process control application is shown Figure P2.28. A model of a single-degree-of-freedom robot. Note that T, J, k, b, and w denote...

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