PROJECT 1-EE3530

# PROJECT 1-EE3530 - PROJECT 1 I. Project Summary This...

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PROJECT 1 I. Project Summary This project will consist of three parts. First, I will analytically derive a mathematical model for the DC motor and load shown in the figure 1. Then, I will analyze the sensitivity of the system considering the parameters with respect to a certain frequency. Finally, I will simplify the system in two different ways. First, I will omit part of the electrical subsystem for the model. Then, I will eliminate the non-dominate poles of the system. 1. The first aspect of the project models the system by relating both the torque of the rotor and the rotation of the shaft to the input voltage. You perform this relation with some basic equations involving a linear circuit analysis of the model and an application of newton’s law with respect to the free body diagram of the rotor. 2. Then I’m going to analyze the sensitivity function of the transfer function by adding a proportional controller that will satisfy the given parameters in the problem. 3. Next, I am going to eliminate the part of the electrical subsystem that causes the least amount of change in the transfer function and then compare this change to the change caused by the elimination of non- dominant poles. Finally, I will discuss the associated errors in both and recommend one for use in feedback systems.

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θ L 1. A. These are the equations that relate both the torque of the rotor and the rotation of the shaft to the input voltage. B.
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## This note was uploaded on 02/06/2012 for the course EE 3530 taught by Professor Chen during the Fall '07 term at LSU.

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PROJECT 1-EE3530 - PROJECT 1 I. Project Summary This...

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