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Will be provide - Essay Example

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The goal of the experimentation is to observe and conduct an analysis of the frequency characteristics of damped and under damped second order systems, damping characteristics of the second order system while learning how to tune the servo-motor properly to obtain the desired…
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The steady-state gain and the time constant were determined by performing two trials using variant voltage inputs in the step input part of the experiment. The time constants for the first and the second trial were 0.196s and 0.176s respectively. Through dividing the change in the output voltage by the input voltage, the steady-state gain was determined. The relationship or connection between the natural frequency and the damping ratio could be seen in the position control section of the experiment.

There was an increase in the natural frequency and a decrease in the damping ratio as the error feedback increased. When a comparison of the observed data was made to the theoretically obtained values, the difference was approximately double. When the error feedback was more that 90%, the system seemed unstable. Upon the introduction of tacho feedback, while keeping the error feedback constant, a significant increase in the damping ratio was observed. The system was damped and indicated a faster response with the tacho feedback.

The experiment proved to be so useful as it enabled the observation of characteristics and relationships of the servo-motor control though the theoretical values differed slightly with the experimental values Calculations involving the steady-state parameters were done in the initial experiment. The tachogenerator and motor speed gains were determined by plotting graphs of tachogenerator voltage vs. motor speed and motor speed vs. input voltage. Tachogenerator gain was found to be 1.6579 V/(rad/s) with the motor speed recording a 12.

564 (rad/s)/ V gain. An analysis of graph 4.4.1.2 and Graph 4.4.1.1 depicted a constant linear relationship. With increasing motor speed, the voltage of the tachogenerator increased. An increase in the input voltage also led to an increase in the motor speed. The graphs 4.4.1.3 and graph 4.4.1.4 showed the plot of feedback pot and position pot against the servo angle. The plot of feedback pot

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