SUMMARY - The construction of a near-term solar power satellite (
SPS
) has been proposed, in the form of a satellite in equatorial low Earth orbit transmitting up to 10 Mw of radio-frequency (rf) power at 2.45 GHz, with the objective of demonstrating the generation of useful electric power on Earth using available space technologies and launch services. This paper examines the main factors that must be considered in the design of the ground segment (i.e. the rectennas and related power-conditioning equipment) for such a system, which will become important research facilities, of interest to electric utilities in every county.
Introduction
The views of potential customers of the
SPS
project are very important in the decision on how to proceed. The customers for the
SPS
will be the electric utilities of the world. In general, electric utilities are large companies with strong finances, based on their large, high quality cash flows and with extensive technological skills centered on electrical engineering. If electric utilities became convinced that SPSs offered a profitable source of electric power, they could more or less finance their development. The initial priority for
SPS
research should therefore be to interest the electric utilities, and progressively to convince them that SPSs could be a commercially competitive source of electric power.
However, electric utilities do not have space engineering expertise, and it is not likely that they will develop such expertise - a task which would be very expensive and of uncertain benefit. From this viewpoint, most
SPS
-related experiments that have been proposed by the space industry, such as generation and transmission of microwave power between satellites in orbit, are of little interest to utilities. They cannot use them; they cannot assess them technologically; and they cannot draw any useful conclusions from them about the likely future cost of
SPS
power.
By contrast, it would be of considerable interest to utilities to demonstrate the transmission of power from an orbiting satellite to a
rectenna
on the ground. Consequently the objective of the proposed "SPS 2000
" project (1) is to demonstrate the generation of useful electric power on Earth from a microwave beam transmitted from an orbiting solar power satellite, using available space technologies and launch services. The "SPS 2000
" project has a number of key design features which have major implications for the design of the ground segment.
"
SPS 2000
" Key Design Features
- Equatorial Orbit: The Space segment is to operate in an equatorial orbit, in order to provide rectennas with more frequent deliveries of power.
-
LEO
satellite: The satellite will operate in
LEO
, approximately 1000 km altitude, in order to reduce launch costs, and to minimize the size of the transmitting antenna required.
- 3 km diameter microwave beam "footprints": The microwave power transmission system (MPTS) will be sized to deliver power within a "footprint" some 3 km in diameter (North-South) when the transmitting antenna is 100 m in diameter.
- Power output from 1MW to 10 MW. The space segment will have a power generation capacity of approximately 1 MW(rf) initially and will be expanded to as much as 10 MW(rf).
- Space segment to be upgraded: The space segment will be upgraded progressively in order to increase the value of the energy delivered to each
rectenna
.
The operation of the SPS 2000
system would generate both electric power and information about the system's operating characteristics. This raises interesting questions about the optimum balance between these two objective. Although the provision of commercially competitive electric power is not the initial objective of the "SPS 2000
" project, this is the ultimate objective. Consequently economic considerations are important in the design of the ground segment, and will be of particular interest to electric utilities.
Implications for Ground Segment Design
Equatorial orbit
The main implication of the selection of an equatorial orbit for the SPS 2000
space segment is that it all be on or near to the equator. The maximum distance from the equator that would be possible will depend on the design of the MPTS, in particular the microwave beam steering capability. It is planned that the transmitting antenna will point to the Earth's center and the microwave beam will be electronically steered to an angle of 30 degrees to the vertical, which will limit the siting of rectennas to within a few hundred kilometers of the equator itself. However, as the latitude of the
rectenna
increases, the duration of power transmission from the satellite decreases, reaching zero at about 600 km from the equator.
The countries in which rectennas could in principle be sited are any or all of the following: Ecuador, Colombia, Brazil, Gabon, Congo, Zaire, Uganda, Kenya, Somalia, Indonesia, and some Pacific Islands. It is noteworthy that none of these countries is a major industrialized country, and that their equatorial regions are mostly low-income, agricultural areas where electricity is not readily available. One or more of these countries could obtain major benefits from playing an important role in the development of the
SPS
.
To the extent that the rectennas were seen as valuable facilities, economically, scientifically and/or politically, there might be many candidate nations. For producing maximum engineering information it would be desirable for several rectennas to be built and operated. This creates the possibility of significant economies of scale and learning through mass production; of political momentum through international collaboration; and of United Nations support for a project of interest to both industrialized and industrializing countries.
LEO
satellite
The selection of an altitude of approximately 1000 km entails that transmission of power to a
rectenna
will be of quite short duration, some 200 seconds continuously if the microwave beam can be steered up +/-30 degrees to the vertical. It also entails that the angular direction of the microwave beam will be changing quite rapidly, approximately 0.3 degrees/seconds.
In order to simplify the initial
SPS
design it is not planned to transmit power during the local night-time which would require on-board power storage. Consequently for a 1000 km circular orbit there would be some 8 transmission periods/day to each
rectenna
, giving approximately 1600 seconds total power delivery per day.
A wide range of experiments will be possible using the ground station (2). These will include tests of the system's steady-state operating characteristics under different conditions, and tests of its response to the range of transients to which it will be subject - start up, shut-down, load-following, unplanned outages and so on. Extended tests will also be possible on the system's reliability, and on its side-effects such as electromagnetic interference under different conditions.
For users of the power delivered by the SPS 2000
ground segment, continuous electric power will be more valuable than short bursts of power, and so from the point of view of power generation, it will be desirable for the
rectenna
system to include some energy storage capacity. Such a system would be required to absorb energy for about 200 seconds and discharge for about 2 hours.
Thus, for example, if a
rectenna
generated 100 kW (E), it could store (100 E/18) kWhr, and deliver approximately (100 E/18 x 2) kW continuously, where E is the efficiency of the electrical storage-discharge cycle perhaps 2 kW (e) continuously with an efficiency of the storage cycle of 72%. On the same assumptions, 1 MW (e) from the
rectenna
could produce 200 kW (e) continuously. Today, commercially available batteries cannot be charged as fast as this. Consequently alternative energy storage technologies, such as water pumping would be necessary. However, as the space segment is upgraded, the performance required of the storage system is reduced (see below).
In general, average
rectenna
power output will be
(P.T.Y.E.N/24) kW(e),
where
P (kW rf) is the rf power transmitted to the
rectenna
,
T (hrs) is the length of continuous power delivery to the
rectenna
,
Y is the efficiency of rf-DC power conversion at the
rectenna
, and
N is the daily number of satellite passes in daylight.
The initial design is intended to minimize the development cost of the space segment, which is much more expensive than the ground segment. Subsequently, in order to reduce the cost of electricity produced, it will be desirable to perform a trade-off between many factors, both technical and economic.
Microwave beam "footprint"
A nominal SPS 2000
unit with 100 m diameter antenna would have a footprint of 3 km on the ground. For an equatorial
rectenna
, the microwave beam terrestrial "footprint" of 3 km diameter determines the minimum area of 7 square km. During the period of power transmission the area illuminated by the main lobe of the beam will start as an East-West ellipse with major axis of 4 km, shrink to a circle of 3 km diameter, and increase to an East-West ellipse again, the maximum East-West diameter being determined by the maximum angle of inclination that is feasible (see Figure 1).
Figure 1: Microwave beani footprint variation during pass.
For an initial beam power of 1 MW (rf), the average power density would be only 141 mW/sq m, which is less than 0.1% of that in the
DOE
SPS
Reference System. The actual power density at different points of the
rectenna
will depend on the microwave beam power density profile, and will influence the optimum size of the
rectenna
For a commercial
SPS
system, the size of a
rectenna
is determined by economic considerations: The amount and hence the value of power received per sq m of
rectenna
surface decreased with distance from the center of the beam. The edge of the
rectenna
is where the cost per sq m of the
rectenna
is equal to the present value of the energy that the
rectenna
will produce per sq m over its lifetime, less the cost of microwave supply.
With an average requirement of approximately 7,000 sq m/kW (rf), and so of approximately 350,000 sq m/kW(e) continuous, the ground system is clearly not cost-effective in commercial terms, even if the microwave power is delivered without charge. This would require the
rectenna
to cost approximately 1 Yen/sq m (see below).
The objective of operating the SPS 2000
rectennas is not only to generate electricity but also to generate information. Nevertheless, it may be that the optimum
rectenna
size would be considerably less than the overall beam footprint (see below).
From above, the continuous
rectenna
power will be
(P.T.Y.E.N/24) kW(e).
If the value of 1 kWhr is V Yen, the annual electricity revenue would be
(P.T.Y.E.N/24) 8760.V Yen.
that is
(365.P.T.Y.E.N.V) Yen.
The present value of the lifetime revenue is therefore:
(365.P.T.Y.E.N.V.D) Yen,
where D is given by ((1+i)n - 1)/i(1 +i)n, where i is the interest rate, and n is the operating lifetime. The limiting value for this (when the lifetime is indefinite) is 1/i.
Typical values for the variables might be: P = 1000, T = 1/18, Y = 0.5, E = 0.8, N = 8, V = 10, D = 5. These give a value of 3.2 million Yen or approximately 0.5 Yen/sq m.
The central portion of a
rectenna
would have a power density perhaps 10 times this average, giving perhaps 5 Yen per sq m. Even at this level of revenue the
rectenna
would not be commercial. It seems possible that even for demonstration purposes, only the central portion of the microwave beam footprint would be collected. The practical cut-off point would depend on many factors, but might be as little as 0.5 km from the beam center. Because the satellite would be travelling from West to East, the effective East-West extension of the
rectenna
would need to be increased if all the power available were to be collected. However, the economic value of the outer regions of an East-West ellipse would be even less than the value of the central circle due to the even shorter period of power delivery.
Power output from 1MW to 10MW
Once a first 1 MW sub-unit of the "SPS 2000
" space segment is operating, it is proposed to upgrade it progressively by adding more 1 MW sub-units up to a maximum of 10 MW(1). Increasing power output in this way would provide further experience of system design and operation, and would also reduce the cost of power produced: For a given
rectenna
cost, the cost per unit of electric power produced would be inversely proportional to the rf power delivered to the
rectenna
NB the intensity of the microwave radiation outside the central section, even for 10 MW(rf) transmission, would lie within existing public exposure limits.
Space Segment to be Upgraded
The space segment could be upgraded in other ways:
- Power could continue to be delivered in short bursts, but more frequently, by siting more satellites in the same orbit. Ten satellites spaced evenly around the orbit would require only nine minutes storage capacity at the
rectenna
to provide continuous power. Such satellites need not be produced by a single organization; a number of different groups might use different designs, thereby introducing an element of competition.
- Alternatively, longer periods of continuous power could be delivered by formation flight of multiple satellites close together in the same orbit, and coordination of their power transmission to rectennas. For example, ten satellites would provide 30 minutes power every two hours, requiring 1 hours' storage capacity in order to provide continuous power at each
rectenna
- The periods of power delivery could be lengthened by increasing the satellite altitude. This would reduce the number of rectennas that could each receive the maximum duration power from a single satellite, the extreme case being the 1:1
GEO
satellites of the US Reference System.
Raising the altitude also increases the distance North and South of the equator to which the satellites could deliver power. In addition, raising the altitude increases the area required of the satellite transmitting antenna and/or of the
rectenna
In order to reduce the cost of power it is then necessary to increase the satellite power output, as proposed, for instance, in the Energy Storable Orbital Power Station (ESOPS) with an output of 70MW, and transmitting antenna diameter of 200m (3).
- The periods of power delivery could be extended through the night by using energy storage on the satellites. For example, the ESOPS proposal includes 45 minutes thermal storage capacity, permitting power delivery on every satellite pass (3). The optimum allocation of storage capacity between the ground and space segments will depend on many factors, including economic considerations.
- The rf beam parameters (including power density profile and wavelength) could be altered to achieve an improved power distribution pattern at the ground. The first SPS 2000
space segment is designed for minimum development cost, but later units might be used to evaluate different antenna systems.
- The power delivered could be increased by delivering power to a
rectenna
from two satellites close together in the same orbit simultaneously, as proposed in (4). If this possibility is feasible in practice it would greatly increase the potential value of a
rectenna
to an electric utility, by reducing the capital cost per KW of capacity by 25-33% (5). It would thereby increase the price that utilities could offer to satellite operators for supplies of rf power. The SPS 2000
system would enable exhaustive experiments to be performed.
These possible developments all lead towards the final objective of delivering continuous, high-density rf power, and all have implications for the design of the ground segment. In particular, if such changes were planned to occur within approximately 5 years of the initial operation of the system, it would probably be economic to design the ground system initially to accommodate them. For example, if the power density in the microwave beam was to be increased, it would be appropriate for the
rectenna
to have a higher power capacity than if this change was not planned, even at the cost of having lower rf-DC efficiency initially.
The power storage and related systems could be altered fairly easily at a later stage, being discrete systems at the edge of the
rectenna
. However, the
rectenna
itself, covering some millions of sq m, would be less easy to upgrade. The detailed design of the
rectenna
surface electronic circuitry is very dependent on the planned power density. Consequently if this was to be increased by several hundred percent, this would have a major effect on the optimum design.
It would, nevertheless, be possible to design a
rectenna
for ease of upgrading. For example, if made easily moveable like a lightweight mesh, the panels might initially have power handling capacity in inverse proportion to their distance from the center of the
rectenna
Then, in order to upgrade the
rectenna
, all panels would be moved radially outwards and reconnected appropriately, and new, higher-capacity panels would be sited in the center.
Rectenna
System Detailed Design Considerations
The minimum cost
rectenna
would consist of a single flexible layer in the form of an open mesh that could be installed simply by unrolling long sheets and interconnecting them appropriately. The mesh could consist of 2mm diameter plastic cable carrying rf-DC printed circuits and covered with a protective layer. Such an open mesh would pass rain and sunlight, but it would have an efficiency of only perhaps 10% since the efficiency of
rectenna
power reception is very dependent on the presence of a reflector plane (see Figure 2).