Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 03 Jan 2018 My Price 10.00

models of nonlinear systems

a. Linearized models of nonlinear systems are commonly used in model-based control of processes. What is the main assumption that is made in using a linearized model to represent a nonlinear system? b. A three-phase induction motor is used to drive a centrifugal pump for incompressible fluids. To reduce misalignment and associated problems such as vibration, noise, and wear, a flexible coupling is used for connecting the motor shaft to the pump shaft. A schematic representation of the system is shown in Figure P3.9.

Assume that the motor is a “torque source” of torque , which is being applied to the motor of inertia . Also, the following variables and parameters are defined for the system:

Also, assume that the net torque required at the ump shaft, to pump fluid steadily at a volume flow rate Q, is given by bpΩp, where Q = VpΩp and Vp = volumetric parameter of the pump (assumed constant). Using Tm as the input and Q as the output of the system, develop a complete statespace model for the system. Identify the model matrices A, B, C, and D in the usual notation, in this model. What is the order of the system?

c. In (a) suppose that the motor torque is given by

where the fractional slip S of the motor is defined as

Note that a and Sb are constant parameters of the motor. Also

 = no-load (i.e., synchronous) speed of the motor

  = amplitude of the voltage applied to each phase winding (field) of the motor

Answers

Maurice Tutor
(5)
Status NEW Posted 03 Jan 2018 08:01 PM My Price 10.00

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