The Purpose of the Experiment

# The Purpose of the Experiment - The transfer function and...

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The Purpose of the Experiment Our aim in the experiment is to compare analyzed responses of second order system – as RLC (resistance, inductance and the capacity elements connected in series) circuit – with the theoretical results. In the experiment, a step input is applied to obtain the time response and a sine function is applied for frequency response of the system. Introduction Response of a dynamical system has two parts, transient response and steady-state response. The steady-state response of a dynamical system to a sinusoidal input is called “Frequency Response”. On the other hand transient response is studied in time domain using step, impulse or ramp functions. In our experiment time response and frequency response of a second order dynamic system will be analyzed. Theoretical Basis The following equipments were used during the experiment; Oscilloscope Signal Generator Resistance, enductance, capacity elements Connection Cables The RLC circuit below was set up as a second order system.

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Unformatted text preview: The transfer function and equations for RLC circuit: The transfer function: The natural frequency: The damping ratio: Experiment Results The Step Response Theoretical Results R=10000 , C=100x10-12 F, L=0,1 w n ( ) experimental experimental Experimental Results , , = 205979,41 = 0,21005 w n ( ) theoretical theoretical = 316227,77 = 0,15811 The Frequency Response During the experiment, different frequencies were given to the system via signal generator. The responses of the system were read from the oscilloscope. The phase difference [s], V in [V] and V out [V] are the outputs read from the oscilloscope. 10000 62831,85-2,8-32,31 1,560 1,680 1,0769 15000 94247,78-4-46,15 1,620 1,860 1,1481 25000 157079,63-4-46,15 1,620 2,700 1,6667 30000 188495,56-6,4-73,85 1,600 3,300 2,0625 35000 219911,49-8,0-92,31 1,620 2,840 1,7531 40000 251327,41-9,6-110,77 1,620 1,840 1,1358 45000 282743,34-9,6-110,77 1,200 1,640 1,3667 100000 628318,53-5-57,69 1,580 0,400 0,2532...
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The Purpose of the Experiment - The transfer function and...

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