318 J. ENERGY VOL. 2, NO. 5
Technical Notes
TECHNICAL NOTES are short manuscripts describing new developments or important results of a preliminary nature. These Notes cannot ex-
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An Aperture-Augmented
Prototype Power Satellite
K.E. Drexler* and B.R. Sperber*
Massachusetts Institute of Technology,
Cambridge, Mass.
T
O demonstrate the feasibility of power satellites at a
minimum of cost and risk, most agree that the
development program should include a subscale prototype. A
prototype which would test the technically risky parameters of
the microwave power transmission system at their full-scale
values while greatly relaxing other parameters to reduce total
system cost could prove attractive.
Such a prototype requires a new system element with wide
application in power satellite design—a microwave optical
element used to augment the transmitting aperture area. This
could be either reflector
l
'
4
or refractor
3
'
4
area.
To demonstrate safety and to test interactions with the
ionosphere, the prototype should deliver a full-intensity
microwave beam to the receiving antenna on the ground. That
is, all of the microwave power transmission system elements
should operate at a full-scale power density to demonstrate
safe microwave power transmission through the ionosphere.
With the degree of freedom offered by aperture augmen-
tation, this demonstration will not require full-scale mass or
power for the prototype.
Current power satellite designs launch the microwave beam
directly from a slotted waveguide antenna. Microwave
reflectors (and possibly also microwave lenses) may be made
roughly ten times less massive than waveguide on a per-unit-
area basis. Aperture augmentation captializes on this fact by
using a small area of conventional transmitting antenna to
illuminate a large reflector (or lens) which serves as the final
transmitting aperture (see Fig. 1.) In this fashion many of the
advantages of the standard transmitting antenna design
(retrodirective phase control, optimally distributed dc-to-
microwave power conversion devices, etc.) may be combined
with the low mass per unit area of the reflector (or lens) to
yield a versatile power transmitting system.
If we model the prototype as a power generating and
transmitting system with mass proportional to power output,
together with a reflector (or lens) with mass proportional to
area, total system mass Mis
where
C
P
R
-mass per unit delivered power of the power
generating and transmitting system
- delivered power
-reflector (or lens) mass per unit area
= reflector (or lens) area
Received Feb. 24, 1978; revision received Aug. 4, 1978. Copyright
© American Institute of Aeronautics and Astronautics, Inc., 1978.
All rights reserved.
Index categories: Microwaves; Photovoltaic Power.
*Graduate student, Dept. of Aeronautics and Astronautics.
The constraint of geometric scaling of the received power
intensity distribution yields
A
R
=A
0
P
0
P-'
where
A
0
= transmitting antenna area for a reference design
P
0
= delivered power from the reference design
Thus
M=CP + RA
0
P
0
P-
!
We want to minimize M with respect to P. At the minimum,
dM
=0
=C-RA
0
P
0
P-
2
so
P=(RA
0
P
0
C-')
For typical reference designs
R = 0.5 kg-m ~
2
(Ref. 1, reflector area/mass of
power relay satellite)
A
0
=7r(500m)
2
=7.85xl0
5
m
2
P
0
= 5xl0
6
kW
C =10kg-kW-
J
yielding
with
P
min
= 4.4 x 10
5
kW = .44 GW
M
min
=2P
min
C=8.8xl0
6
kg
The above calculation is quite approximate in that it does
not consider the configuration changes required to in-
corporate a reflector (or lens) as massive as the rest of the
TRANSMITTER
•I I I )
a)
DIRECTION OF
MICROWAVE ->
PROPAGATION
TRANSMITTER
Fig. 1 The augmented aperture concept using a) refractor and b)
reflector.
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