An AC motor is powered by a nearby small wind farm and a distant solar farm. The wind farm has a horizontal axis wind turbine with an 18-m diameter rotor, 25% efficiency, and 8 m/s winds and is at 1 atm of pressure and 15° C. Assume the wind turbine is connected such that there are no extra losses. The solar farm is composed of 5 parallel strings of 17 series PV modules, all operating at peak power. Each module produces a peak power of 250 W at 40 V. The solar farm is connected to the AC motor via transmission line as seen in the image below. Assume all conditions are constant (pressure, temperature, insolation, etc.). DC to AC Inverter M

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter4: Transmission Line Parameters
Section: Chapter Questions
Problem 4.8MCQ: An ac resistance is higher than a dc resistance. True False
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Answer all the questions

(a) How much power is the wind farm generating? 
(b) How much power is the solar farm generating? 
(c) Find the power delivered to the AC motor. 
(d) If the AC motor requires at least 45 kW of power, is the system able to provide that 
power? If not, how many additional series PV modules should be added to each string 
(we want to keep the same number of modules in each string)? If so, how many 
modules can be removed from each string while still meeting the requirements?

An AC motor is powered by a nearby small wind farm and a distant solar farm.
The wind farm has a horizontal axis wind turbine with an 18-m diameter rotor, 25%
efficiency, and 8 m/s winds and is at 1 atm of pressure and 15° C. Assume the wind
turbine is connected such that there are no extra losses.
The solar farm is composed of 5 parallel strings of 17 series PV modules, all operating
at peak power. Each module produces a peak power of 250 W at 40 V. The solar farm is
connected to the AC motor via transmission line as seen in the image below.
Assume all conditions are constant (pressure, temperature, insolation, etc.).
DC to AC
Inverter
M
Transcribed Image Text:An AC motor is powered by a nearby small wind farm and a distant solar farm. The wind farm has a horizontal axis wind turbine with an 18-m diameter rotor, 25% efficiency, and 8 m/s winds and is at 1 atm of pressure and 15° C. Assume the wind turbine is connected such that there are no extra losses. The solar farm is composed of 5 parallel strings of 17 series PV modules, all operating at peak power. Each module produces a peak power of 250 W at 40 V. The solar farm is connected to the AC motor via transmission line as seen in the image below. Assume all conditions are constant (pressure, temperature, insolation, etc.). DC to AC Inverter M
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