15_MAE 334Woodward - lab2

15_MAE 334Woodward - lab2 - T = )) Large Step Input...

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MAE 334 Lab 2 surrounding fluid. For simple thermocouple applications, a first order model adequately describes the dynamic behavior. A relatively easy method for characterizing the response of a first order system is to observe its response to a step change in input. The step response of first order systems is described in the section on “first order systems” in the text. The first order transient response of a temperature T is described by: (1) τ / ) ( ( T T T = ) where T ( t ) is the temperature as a function of time (the data you will record), T 0 is the initial temperature, T is the final temperature, t is time and τ is the time constant of the system. Or, rearranging into error function form, (2) t o e T t o T t T / ) /( ( ( t e T
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Unformatted text preview: T = )) Large Step Input Thermocouple Dynamic Calibration in Water 10 20 30 40 50 60 70 80 90 5 10 15 20 25 30 Time (sec) Temperature (C) Temp Data Simulation t(0)=2 seconds T(0)=5 C T( ) = 75 C ~2/3 Step = (2/3)( T ( )-T (0))+ T (0) 50 C Time Constant (7 - t(0)) = 5 seconds Figure 14. A typical dynamic response of a thermocouple subjected to a step input temperature change. In this graph, the initial temperature, T , is approximately 5 C and the final temperature, T , is approximately 75 C. The simulated data was calculated using these parameters and Equation (1). Time, t , in Equation (1) was offset to start the transient at 2 seconds. 16 Page 15 of 16...
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This document was uploaded on 01/03/2011.

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