Question: The thermal system shown in Fig. given: controlled by a PD controller. These data are w = 250 lb/min P = 62.5 lb/ft V

The thermal system shown in Fig. given: controlled by a PD controller. These data are w = 250 lb/min P = 62.5 Final control element W PD controller 100 F

The thermal system shown in Fig. given: controlled by a PD controller. These data are w = 250 lb/min P = 62.5 lb/ft V = = 4 ft V/ = 5 ft V3 = 6 ft C = 1 Btu/(lb-F) A change of 1 psi from the controller changes the flow rate of heat q by 500 Btu/min. The temperature of the inlet stream may vary. There is no lag in the measuring element. (a) Draw a block diagram of the control system with the appropriate transfer function in each block. Each transfer function should contain numerical values of the parameters. (b) From the block diagram, determine the overall transfer function relating the tempera- ture in tank 3 to a change in set point. (c) Find the offset for a unit-step change in inlet temperature if the controller gain Ke is 3 psi/F of temperature error and the derivative time is 0.5 min. Final control element W PD controller 100 F

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