Question 3 The pitch angle control system for a certain wind-turbine blade could be represented by the block diagram in
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Question 3 The pitch angle control system for a certain wind-turbine blade could be represented by the block diagram in
Question 3 The pitch angle control system for a certain wind-turbine blade could be represented by the block diagram in Fig. 3.1: Pitch Dynamics Setpoint 4 R(S) K G(s) B(s) Controller Servo-motor s +2 U() us) 2.0 Potentiometer Fig. 3.1: Block diagram for a blade pitch control system Initially it was assumed that the servo-motor transfer function could be approximated by: Gm(s)=0.5 (i) The loop is initially open at X and the gain of the controller set to K, =1. Sketch the time responses for both the pitch velocity (t) and the pitch angle B(1) for a unit step in the set-point signal r(t). (5 Marks) (ii) The loop is now closed at X and the blade is now under closed-loop pitch angle control. Show that the closed-loop system is stable for all positive choices of the controller gain K, Design the proportional controller K, to achieve a closed loop peak-overshoot of 10% in response to a step change in the setpoint signal r(t). [7 Marks) Page 4 of 17
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