Parabolic trough collector. In order to reduce the
Chapter 11, Problem 34(choose chapter or problem)
Parabolic trough collector. In order to reduce the steady-state error of the parabolic trough collector system, a PI controller is added to the open-loop transfer function so that (Camacho, 2012)
G(s) = \(\frac{137.2 \times 10^{-6} K(s+0.01)}{s\left(s^2+0.0224 s+196 \times 10^{-6)}\right.} e^{-39 s}\)
a. Draw the new resulting Nyquist diagram when K = 1.
b. Find the range of K for closed-loop stability.
c. Use a phase margin argument to find the value of K that will yield \(\zeta\) = 0.5 damping factor.
d. Using the value found in Part a, simulate the system for a unit-step response using a computer program.
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