Red Team -Pressure- Steady State Operating And Step Response Dennis To Cory Richardson Jamison Linden 6/26/2015, UTC, ENGR-329

Contents  Background Description, SSOC, Step Response  FOPDT Model  Model Theory  Results  Conclusions

Background  System  Input  Output  SSOC  Operating Range

System Figure 1. Schematic diagram of the Dunlap Plant Spray-Paint Booths

Block Diagram Figure 2. Block diagram of paint Booth System

SSOC Operating Range for Output Operating Range for Input

Operating Range  Input operating range (45%-90%)  Output operating range ( cm-H2O)

Theory  Transfer Function  Parameters

Transfer Function Transfer Function m(s) Input c(s) Output 1 0   s Ke st  K=Gain=∆c/∆m=(cm-H2O)/% to=Dead Time τ=Time Constant (use 0.632∆c) Uncertainties (max-min)*(t/n)

Parameters LowerUpper Middle

Results  Experimental (Step-up, Step-down)  Time Response (Gain)  Time Response (Dead Time)  Time Response (Time Constant)

Experimental (Step-up)

Experimental (Step-down)

Time Response (Gain)

Time Response (Dead Time)

Time Response (Time Constant)

FOPDT Model  Model Equation  C(t) = A*u(t-t d -t 0 )*K*(1-e -((t-t d -t 0 )/tau) ) Parameters  t d =15 sec.  A = 15 %  K =.21 cm-H 2 O /%  t 0 = 0.52 sec.  tau = 1.8 sec.  inbl= 60%  outbl=2 cm-H 2 O

Model Time Response (Gain)

Model Time Response (Dead Time)

Model Time Response (Time Constant)

Results  EXPERIMENTAL PARAMETERS INCREASING STEADY STATE GAINK cm-H2O/% DEAD TIMEto0.5 s TIME CONSTANTt1.7 s  EXPERIMENTAL PARAMETERS DECREASING STEADY STATE GAINK cm-H2O /% DEAD TIMEto0.5 s TIME CONSTANTt1.7 s

Conclusions  Input operating range  Output operating range  (K) goes up as the input % is increased ( cm-H2O/%)  (t o) stays constant (0.5sec)  ( ) stays constant (1.7sec)