Ohio State University The Satellite Solar Power Station Project Problems

The Satellite Solar Power Station project attempts to set up a large solar cell panel in a geostationary orbit at a distance 36,000 km above the surface of the Earth. The collected solar energy is then converted into microwave energy atfo= 4.0 GHz with an overall efficiency of 10%. This microwave energy is them beamed back to the Earth to be received and converted to the 60 Hz power with an efficiency of 25%.Suppose you are asked to design such a system which will provide 1010watts at 60 Hz, the anticipated power needs by New York in the year 2020. Suppose also the maximum power density in the vicinity of the receiving antenna on the ground, based on health considerations, is 100 watts/m2. What must be the effective area of the receiving antenna on the ground, the effective area of the transmitting antenna at the satellite, and the collecting area of the solar panel? The sun provides a flux of 106watts/m2. Assume 100% aperture efficiency for both transmitting and receiving antennas (i.e., Aef f= Aphy) and HPBW =?/?Aphy, assuming a square aperture for each antenna.