Question

5 Consider the following air pneumatic system which is comprised of two rigid tanks of volume V and V2. The variables δΡ-6p, and δΡ are small deviations around a reference steady-state pressure as The pneumatic lines have linearized resistances R1 and R Ci Py P2 a. Determine the pneumatic capacitances, Ci and Ca for the tanks undergoing an isothermal process at temperature T b. Derive a model of the pressures δΡυ and δΡ with δp, as the input. c.Define the state matrices for this system. Then use the following values to input the system in MATLAB: T= 20 ℃ R1-0.04 (N/m2)/(m3/s), R2 = 0.07 (N/m2)/(m'/s), V1 = 0.3 m," V2+0.5 ㎡ d. Use the state matrices in MATLAB to model the deviation from the reference steady state pressure due to a unit step in the input δΡ- e. Plot the response of the deviation pressures if the 6p is zero and tank one has a pressure that is 2 Pa above its equilibrium pressure, and tank 2 is at 7 Pa below its equilibrium pressure

Answer 1

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