P5.8 Photovoltaic arrays generate a DC voltage that can be used to drive DC motors or that can be converted to AC power and added to the distribution network. It is desirable to maintain the power out of the array at its maximum available as the solar incidence changes during the day. One such closed- loop system is shown in Figure P5.8 O. The transfer function for the process is Disturbance Ta(s) R(s) Integrator Slope of P(s) G(s) Power power curve at maximum + output power Differentiator Figure P5.8 Solar cell control. K G(s) = s+ 20' where K = 20. Find (a) the time constant of the closed-loop system, and (b) the settling time to within 2% of the final value of the system to a unit step disturbance. -

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P5.8 Photovoltaic arrays generate a DC voltage that can be used to drive DC
motors or that can be converted to AC power and added to the distribution
network. It is desirable to maintain the power out of the array at its maximum
available as the solar incidence changes during the day. One such closed-
loop system is shown in Figure P5.8 O. The transfer function for the
process is
Disturbance
T(8)
R(s)
|Integrator
Slope of
P(s)
G(s)
Power
power curve
at maximum
output
power
Differentiator
Figure P5.8 Solar cell control.
K
G(s)
s + 20 '
where K = 20. Find (a) the time constant of the closed-loop system, and (b)
%3D
the settling time to within 2% of the final value of the system to a unit step
disturbance.
Transcribed Image Text:P5.8 Photovoltaic arrays generate a DC voltage that can be used to drive DC motors or that can be converted to AC power and added to the distribution network. It is desirable to maintain the power out of the array at its maximum available as the solar incidence changes during the day. One such closed- loop system is shown in Figure P5.8 O. The transfer function for the process is Disturbance T(8) R(s) |Integrator Slope of P(s) G(s) Power power curve at maximum output power Differentiator Figure P5.8 Solar cell control. K G(s) s + 20 ' where K = 20. Find (a) the time constant of the closed-loop system, and (b) %3D the settling time to within 2% of the final value of the system to a unit step disturbance.
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