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PID and Novel Approach of PI Fuzzy Logic Controllers for Active Surge in Centrifugal Compressor

  • Research Article - Electrical Engineering
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Abstract

The operating range of aerodynamic compressors is usually limited by a phenomenon known as surge. Active surge control has showed the ability to extend the operating range significantly. This study presents a solution to this problem based on classical PID regulator and a new PI fuzzy logic approach with three lines of protection. The fuzzy controller is designed to avoid the surge instability on a given compressor model. Simulation studies show promising results at different operating points compared to the results obtained using PID controller.

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Abbreviations

w :

The mass flow (kg/s)

w f :

The feed flow (kg/s)

w r :

The recycle flow (kg/s)

w t :

The throttle flow (kg/s)

a p :

The speed of sound = 343 m/s

c p :

Specific heat at constant pressure (1,005 (J/kg K))

v 1 :

Suction plenum volume 0.05 m3

v 2 :

Discharge plenum volume 0.1 m3

P 01 :

ambient pressure 101,325 Pa

P 1 :

Section plenum pressure (Pa)

P 2 :

Discharge plenum pressure (Pa)

T 01 :

ambient temperature 20 °C

A :

Duct area 0.07 m

L :

Duct length 2.85 m

Ψc(w, Ω):

The pressure rise

τd :

Drive torque

τc :

Compressor torque

μ :

Energy transfer coefficient 0.99

r1 :

Inducer perimeter radius 0.0395 m

r2 :

Impeller perimeter radius 0.0565 m

a :

Constant of incidence loss

k f :

Friction constant

k :

Isentropic exponent

c p :

Specific heat at constant pressure

c v :

Specific heat at constant volume

ξ :

1,000

c f :

The percentage feed opening valve

c r :

The percentage recycle opening valve Pressure of the feed valve

Ω:

The speed (rad/s)

J :

The impeller inertia 5e−4 kg m2

P upstream :

Upstream pressure

DSL:

Low deviation to the control line

DSLL:

Low Low deviation to the control line

SCL:

Surge control line

DSH:

High deviation between operating point and control line (surge region)

References

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  2. Bøjrn, O.B.; Gravdahl, J. T.: The Recycle Compression System. Master of Science in Engineering, NTNU (2010)

  3. Greitzer, E.: Surge and rotating stall in axial flow compressors: theoretical compression system model. J. Eng. Power 98, 190–198 (1976)

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Authors and Affiliations

  1. Laboratoire de Recherche sur l’Electrification des Entreprises Industrielles, Université M’hamad Bougara de Boumerdes, Avenue de l’indépendance, 35000, Boumerdes, Algeria

    B. Chetate, R. Zamoum, A. Fegriche & M. Boumdin

Authors
  1. B. Chetate
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  2. R. Zamoum
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  3. A. Fegriche
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  4. M. Boumdin
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Corresponding author

Correspondence to B. Chetate.

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Chetate, B., Zamoum, R., Fegriche, A. et al. PID and Novel Approach of PI Fuzzy Logic Controllers for Active Surge in Centrifugal Compressor. Arab J Sci Eng 38, 1405–1414 (2013). https://doi.org/10.1007/s13369-013-0601-6

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  • DOI: https://doi.org/10.1007/s13369-013-0601-6

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