As soon as the spacetenna distribution function fir) is specified, K and £ are determined. Choosing the upper limiting values for ST and SR then maximizes Prand leads to a unique solution for both PT and DT. The important quantity is the power that is actually delivered to the utility grid, which is given by Here, is the beam efficiency that corresponds to the beamwidth constant B and is a catch-all factor that includes small losses due to random phase and amplitude errors in the spacetenna, atmospheric loss, diode rectification efficiency in the rectenna and sundry other small losses associated with switchgear and transmission lines that feed the grid. Both Pg and DR will be uniquely determined when the level at which the power beam is intercepted by the rectenna is specified. Finally, it is necessary to introduce one more catch-all efficiency factor fi', in order to relate grid power, Pg, to the d.c. power generated by the solar array, PA c.. Thus The factor tq" clearly includes the conversion efficiency of the magnetron tubes as well as other factors associated with losses in the d.c. distribution networks and the rotary joint interface between the solar array and the spacetenna. where the spacetenna gain is given by Successively eliminating first DT and then PT from Eqs. 2 and 4 gives
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