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# Industrial Control Systems - Liquid Level Systems

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### 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