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• Frequency Response

– Experiments

– Modeling

• Jim Henry

LEVEL-1• Intro & Background

• SSOC

• Step Response -- Expt & Model

• Sine Response -- Expt & Model

• Conclusions

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K = Gain (cm/%)Tau = Time FactorT0 = dead time

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• STEP UP (avg.)

• T = .15 (±) .09

• t0 = .02 (±) .01

• K = .635 (±) .05

• STEP DOWN (avg.)

• T = .073 (±) .02

• t0 = .027(±) .04

• K = .652 (±) .09

• T = minutes

• t0 = minutes

• K = cm/%

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• Sine Experiments for Bode Plot

Barney

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Barney

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• Sine Experiments for Bode Plot

• AR vs. frequency

• PA vs. frequency

Barney

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(cm/%)

Barney

LEVEL-1 Barney

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• Sine Modeling for Bode Plot

• AR vs. frequency

• PA vs. frequency

Barney

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(cm/%)

Barney

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• Sine Model

• T = .1 minute

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• K = .55 cm/%

• order about 1st

Barney

LEVEL-1 Barneyf =12 c/mu

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(cm/%)

Barneyf =12 c/mu

0.063 cm/%

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• Sine Model

• T = .1 minute

• to = 0.02 minute

• K = .55 cm/%

• order about 1st

• fu = 12 cycles/min• Kcu= 1/0.063 = 16 %/cm

Barney

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• CONCLUSION• best estimate of FOPDT parameters

• T = .1 minute

• to = 0.02 minute

• K = .55 cm/%

Barney

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• Illustration• experiments & model for 3 different

frequencies

• Low freq

• Medium freq

• High freq

Barney

Note from Dr. Henry:Following three slides showExcel graphs of the time-response curves for experiments and modelsfor 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 1st

• fu = 12 cycles/min• Kcu= 1/0.063 = 16 %/cm