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Figure 4-52 F+y AWV ALLV * C(Capacitance) R (Resistance)

Figure 4-52 F+y AWV ALLV * C(Capacitance) R (Resistance)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Figure 4-52 F+y ALLLY C(Capacitance) 20+4. R (Resistance)
Transcribed Image Text:Figure 4-52 F+y ALLLY C(Capacitance) 20+4. R (Resistance)
B-4-10. Consider the liquid-level control system shown in We assume that the velocity of the power piston (valve) K₁.x where K₁ is a positive constant. We also assume that the change in the inflow rate q, is negatively proportional to the change in the valve opening y, or Figure 4-52. The inlet valve is controlled by a hydraulic is proportional to pilot-valve displacement .x. or integral controller. Assume that the steady-state inflow rate is and steady-state outflow rate is also, the steady-state head is , steady-state pilot valve displacement is X = 0, and steady-state valve position is Y. We assume that the set point R corresponds to the steady-state head H. The set point is fixed. Assume also that the disturbance inflow rate 94, which is a small quantity, is applied to the water tank at = 0. This disturbance causes the head to change from to H+h. This change results in a change in the outflow rate by qo. Through the hydraulic controller, the change in head causes a change in the inflow rate from 0 to + q. (The integral controller tends to keep the head constant as much as possible in the presence of disturbances.) We assume that all changes are of small quantities. 9i= -Kry dy dt where K, is a positive constant. Assuming the following numerical values for the system, C = 2m², R = 0.5 sec/m². K₁ = 1 m²/sec b = 0.75 m. obtain the transfer function H(s)/Qd(s)| a = 0.25 m. K₁ = 4 sec¹
Transcribed Image Text:B-4-10. Consider the liquid-level control system shown in We assume that the velocity of the power piston (valve) K₁.x where K₁ is a positive constant. We also assume that the change in the inflow rate q, is negatively proportional to the change in the valve opening y, or Figure 4-52. The inlet valve is controlled by a hydraulic is proportional to pilot-valve displacement .x. or integral controller. Assume that the steady-state inflow rate is and steady-state outflow rate is also, the steady-state head is , steady-state pilot valve displacement is X = 0, and steady-state valve position is Y. We assume that the set point R corresponds to the steady-state head H. The set point is fixed. Assume also that the disturbance inflow rate 94, which is a small quantity, is applied to the water tank at = 0. This disturbance causes the head to change from to H+h. This change results in a change in the outflow rate by qo. Through the hydraulic controller, the change in head causes a change in the inflow rate from 0 to + q. (The integral controller tends to keep the head constant as much as possible in the presence of disturbances.) We assume that all changes are of small quantities. 9i= -Kry dy dt where K, is a positive constant. Assuming the following numerical values for the system, C = 2m², R = 0.5 sec/m². K₁ = 1 m²/sec b = 0.75 m. obtain the transfer function H(s)/Qd(s)| a = 0.25 m. K₁ = 4 sec¹
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