LEVEL-1 Frequency Response –Experiments –Modeling Jim Henry

LEVEL-1 Intro & Background SSOC Step Response -- Expt & Model Sine Response -- Expt & Model Conclusions

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LEVEL-1 K = Gain (cm/%) Tau = Time Factor T 0 = dead time

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LEVEL-1 STEP UP (avg.) T =.15 (±).09 t 0 =.02 (±).01 K =.635 (±).05 STEP DOWN (avg.) T =.073 (±).02 t 0 =.027(±).04 K =.652 (±).09 T = minutes t 0 = minutes K = cm/%

LEVEL-1 Sine Experiments for Bode Plot Barney

LEVEL-1 Barney

LEVEL-1 Sine Experiments for Bode Plot AR vs. frequency PA vs. frequency Barney

LEVEL-1 (cm/%) Barney

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LEVEL-1 Sine Modeling for Bode Plot AR vs. frequency PA vs. frequency Barney

LEVEL-1 (cm/%) Barney

LEVEL-1 Sine Model T =.1 minute K =.55 cm/% order about 1st Barney

LEVEL-1 Barney f =12 c/m u

LEVEL-1 (cm/%) Barney f =12 c/m u cm/%

LEVEL-1 Sine Model T =.1 minute to = 0.02 minute K =.55 cm/% order about 1 st f u = 12 cycles/min K cu = 1/0.063 = 16 %/cm Barney

LEVEL-1 CONCLUSION best estimate of FOPDT parameters T =.1 minute to = 0.02 minute K =.55 cm/% Barney

LEVEL-1 Illustration experiments & model for 3 different frequencies Low freq Medium freq High freq Barney Note from Dr. Henry: Following three slides show Excel graphs of the time-response curves for experiments and models for 3 different frequencies

LEVEL-1 CONCLUSION best estimate of FOPDT parameters T =.1 minute to = 0.02 minute K =.55 cm/%

LEVEL-1 CONCLUSION order about 1 st f u = 12 cycles/min K cu = 1/0.063 = 16 %/cm