20. Figure P3.20 shows a simplified model of a depth control system for a submer
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Question
20. Figure P3.20 shows a simplified model of a depth control system for a submerged submarine. The ship-settling dynamics transmittance is 10+ 1+3x10% + 14 x 105 G(s) (a) Carefully explain the meaning of the "block" with transmittance (1000/s). is this a component of the system in the same sense as an amplifier or a motor might be? (b) Determine whether the system is stable. Weight of ship except ballast Total weightTotal ship Ballast water intake rate of ballast Desired Depth Proportional depth Actual depth errorcontrol Ship settling dynamics G(s) 1000 two-way pump Weight of water displaced by ship Pressure Flgure P3.20 S0 PERFORMANCE SPECIFICATIONS (c) Find the steady state change in actual depth due to a unit step change in desired depth. (d) A sonar beacon is released by the ship, causing a unit step change in the weight of the vessel. Find the steady state change in actual depth Ans. (b) Stable; (c)1; (d) 0Explanation / Answer
a) The block represents the transfer functions which actually represents the conversion term form flow rate into weight ( input and output of the block). No it is not analogous to motor or an amplifier since amplifier only amplifies but here there is a conversion from flow rate to weight.
b) Yes, the system is stable because there is a negative feedback which eventually decreases the output even if the input increases. Always a negative feedback system is stable.
c) Under steady state, all the transfer functions reduces to 1 (you can understand this relating to the conventional transfer function. Since in steady state, no capacitor or inductor is present and so the transfer func is 1). So the final output(actal depth change) is 1.
d) I didnt understand the question.
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