SORU3. Seviye Kontrol/ Prof. Dr. Z. ZEYBEK : $q(t)$ $h(t)$ $R$ $q_o(t)$ $q_0 = \frac{h}{R}$ Yukardaki sıvı seviye sistemi için Yatışkın olmayan ve yatışkın kütle dengesini kurup Sapma değişkenleri cinsinden denklem elde edildikten sonra birinci mertebe transfer fonksiyonu $\frac{H(s)}{Q(s)}=?$ Bulunuz. Sapma değişkenleri $H=h-h_s$, $Q=q-q_s$ olarak ve $q_0=\frac{h}{R}$ alınız
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Step 1: The mass balance equation for the liquid level system is: $A \frac{dh}{dt} = q(t) - q_0(t)$ where A is the cross-sectional area of the tank, h is the liquid level, q(t) is the inlet flow rate, and $q_0(t)$ is the outlet flow rate. Show more…
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Q3. Consider the liquid-level system shown in the figure below. In the system, Q1 and Q2 are steady-state inflow rates, H1 and H2 are steady-state heads. The quantities qi1, qi2, h1, h2, q1, and qo are considered small. Obtain a transfer function representation for the system when h1 and h2 are the outputs and qi1 and qi2 are the inputs. (20 Marks)
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The heads of tanks 1 and 2 are H1 and H2, respectively. At t = 0, the inflow rate is changed from 0 to q. The resulting changes in the heads (h1 and h2) and flow rates are q1 and q2. The capacitances of tanks 1 and 2 are C1 and C2, respectively. The resistance of the outflow valve of tank 1 is R1 and that of tank 2 is R2. Obtain the transfer function for the system when q is the input and q2 the output.
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