Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.

Industrial Control Systems - Liquid Level Systems

749 views

Published on

Published in: Business, Technology
  • Be the first to comment

  • Be the first to like this

Industrial Control Systems - Liquid Level Systems

  1. 1. Industrial Control Behzad Samadi Department of Electrical Engineering Amirkabir University of Technology Winter 2009 Tehran, Iran Behzad Samadi (Amirkabir University) Industrial Control 1 / 5
  2. 2. Liquid Level Systems Electrical Analogy Type of System Electrical Liquid Level T-Variable i, current q, volumetric flow A-Variable v, voltage h, head Dissipator resistor orifice Storage (A-Type) capacitor liquid tank Storage (T-Type) inductor long pipe Unidirectional diode check valve Flow regimes are divided into laminar flow and turbulent flow. [Ogata, 1997] Behzad Samadi (Amirkabir University) Industrial Control 2 / 5
  3. 3. Dissipator Laminar flow: Rl = H Q [Ogata, 1997] Behzad Samadi (Amirkabir University) Industrial Control 3 / 5
  4. 4. Dissipator Laminar flow: Rl = H Q Turbulent flow: Q =K √ H Rt = dQ dH = 2H Q [Ogata, 1997] Behzad Samadi (Amirkabir University) Industrial Control 3 / 5
  5. 5. Simple Liquid Tank Behzad Samadi (Amirkabir University) Industrial Control 4 / 5
  6. 6. Simple Liquid Tank Capacitance: C dh dt =qi − qo C =cross sectional area of the tank [Ogata, 1997] Behzad Samadi (Amirkabir University) Industrial Control 4 / 5
  7. 7. Simple Liquid Tank Capacitance: C dh dt =qi − qo C =cross sectional area of the tank Dynamic equation: C dh dt =qi − h R RC dh dt + h =Rqi [Ogata, 1997] Behzad Samadi (Amirkabir University) Industrial Control 4 / 5
  8. 8. Connected Tanks Behzad Samadi (Amirkabir University) Industrial Control 5 / 5
  9. 9. Connected Tanks h1 − h2 R1 =q1 C1 dh1 dt = q − q1 h2 R2 = q2 C2 dh2 dt = q1 − q2 [Ogata, 1997] Behzad Samadi (Amirkabir University) Industrial Control 5 / 5
  10. 10. Ogata, K. (1997). Modern Control Engineering. Prentice Hall, 3 edition. Behzad Samadi (Amirkabir University) Industrial Control 5 / 5

×