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hw1 - Department of Electrical Engineering and Computer...

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Department of Electrical Engineering and Computer Science EEL6208 Advanced Electric Machinery Homework/Project Set No. 1 Problem 1. The following figure shows a simple linear actuator. By controlling the DC voltage source, we can control the movement of the bar. Assuming the mass of the bar is M, the DC magnetic field is B, the length of the bar is l, and the electrical loss of the system is described using resistor R. The force from the load is . (1) Before ,, the bar is stationary. There must be a current going through the bar to get a force . Find the DC voltage of this case. (2) At , apply so that the bar will start to accelerate. Find the the dynamical equation for transient velocity and solve using MatLab function dsolve. (3) At , apply (can be negative) so that the bar will start to decelerate. Find the the dynamical equation for transient velocity and solve using MatLab function dsolve. (4) When the velocity decelerates to 0, suddenly apply so that the bar will be held at a new position. Find the total actuation time from the old to new position. Also find

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