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SSPS-OMEGA: A new concentrator system for SSPS

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The concentrator system of the space solar power station (SSPS) has a dimension of km scale, which requires the knowledge of optics, mechanics, thermology, control, and other disciplines. The existing concentrator schemes of the SSPS, such as the SSPS-ALPHA scheme, have the disadvantages of low efficiency and/or large fluctuation in solar concentration, large mass, and complicated control system. Thus, the SSPS scheme with high efficiency, light weight and simple control strategy was proposed. The SSPS-ALPHA scheme was analyzed, and then a new scheme called SSPS-OMEGA was presented under the premise of the same power hypothesis with the ALPHA scheme. With the same power collection of the ALPHA scheme, the proposed scheme has higher and more stable solar concentration efficiency, and the power-mass ratio is higher with 31.68%. ©, 2014, Zhongguo Kongjian Kexue Jishu/Chinese Space Science and Technology. All right reserved.
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Invited Paper
A novel design project for space solar power station
(SSPS-OMEGA)
Yang Yang, Yiqun Zhang
n
, Baoyan Duan, Dongxu Wang, Xun Li
Key laboratory of Electronic Equipment Structure Design, Xidian University, China
article info
Article history:
Received 9 September 2015
Received in revised form
25 November 2015
Accepted 19 December 2015
Available online 6 January 2016
Keywords:
Space solar power
Solar energy collection system
Microwave power transmission
Power-mass ratio
SSPS
abstract
The space solar power station (SSPS) capable of providing earth with primary power has
been researched for 50 years. The SSPS is a tremendous design involving optics,
mechanics, electromagnetism, thermology, control, and other disciplines. This paper
presents a novel design project for SSPS named OMEGA. The space segment of the pro-
posed GEO-based SSPS is composed of four main parts, such as spherical solar power
collector, hyperboloid photovoltaic (PV) cell array, power management and distribution
(PMAD) and microwave transmitting antenna. Principle of optics, structure conguration,
wired and wireless power transmissions are presented.
&2016 IAA. Published by Elsevier Ltd. All rights reserved.
1. Introduction
The SSPS concept was rstly introduced by Dr. Peter
Glaser in 1968 [1]. The basic idea is that sunlight is col-
lected and converted into electricity in space, and then
transmitted to the ground-receiving antenna via wireless
power transmission (WPT). It is a promising methodology
to provide earth with primary power.
Since the invention of SSPS concept, there have been
numerous research activities. As far as design project of
SSPS is concerned, a few innovative design concepts, such
as Reference model, Sun tower, Sun sail, JAXA models,
Tethered SPS, etc., have been proposed by the scientists and
engineers from the US, Japan and Europe [2,3,4,5].Typical
SSPS concepts can be divided into three kinds according to
their difference on focusing methodologies: such as non-
focusing, point-focusing and distributed focusing. The
NASA/DOE reference model [6], put forward in 1979, is a
typical one of non-focusing. The model consists of a single
large solar array about 50,000 m
2
in area, a microwave
transmitting antenna, and a high-power rotary joint
mechanism. The shortcoming is the excessive initial
investment. Another one is the Tethered Solar Power
Satellite [7,8], proposed by Japanese government METI and
USEF, a concept to reduce the system complexity and mass.
It is composed of a power generation/transmission panel of
2.0 km 1.9 km suspended with multi-wires deployed
from a bus system. The panel consists of 400 subpanels of
100 m 95 m. However, low efciency and large uctua-
tion on energy collecting curve are the obvious dis-
advantages. Typical concepts of point-focusing are Inte-
grated Symmetrical Concentrator (ISC) and Symmetrical
Two-stage Flat reected Concentrator (STFC) [4]. ISC utilizes
large, symmetrically placed off-axis parabolic reectors
whilst receiving surface being placed on the focal plane. By
integrating the PV cell array, microwave devices and
transmitters into sandwich structure and making use of
secondary reectors, an improved concept named STFC was
proposed which is good for receiving a high degree of dis-
tribution uniformity and a suitable condensation ratio by
adjusting the parameters of the main reectors, secondary
reectors and receiving plane [9]. However, high-power
rotating mechanism and complicated control strategies are
Contents lists available at ScienceDirect
journal homepage: www.elsevier.com/locate/actaastro
Acta Astronautica
http://dx.doi.org/10.1016/j.actaastro.2015.12.029
0094-5765/&2016 IAA. Published by Elsevier Ltd. All rights reserved.
n
Correspondence to: Xidian University, Mailbox 191, No. 2, South
Taibai Road, Xi'an 710071, China. Tel.: þ86 029 88203040.
E-mail address: yiqunzhang@xidian.edu.cn (Y. Zhang).
Acta Astronautica 121 (2016) 5158
needed for both ISC and STFC. The ALPHA (Solar Power
Satellite via Arbitrarily Large Phased Array) [10],proposed
by John C. Mankins, is a hyper-modular design of dis-
tributed focusing. Thousands of individually pointed light
weight thin-lm mirrors redirect sunlight to a high-
efciency photovoltaic array. Typical concepts are sum-
marized and compared in Table 1 .
2. SSPS-ALPHA concept
Biomimetic and hyper-modular design have been
introduced in the architectural design of the ALPHA, a
concept which is thought to be the rst practical and one
of the most advanced SSPS. The basic concept is to form an
exceptionally large space platform from an extremely large
number of small, high modular elements using the idea of
cooperative behavior.
2.1. Architecture
Fig. 1 shows the basic architecture of the space segment
of the ALPHA, which is comprised of three major func-
tional elements: (1) a large sandwich structure with
antenna surface toward earth. (2) a solar energy collecting
system involving a large number of individually reectors
mounted on a non-moving primary structure; and (3) a
truss structure that connects these two.
2.2. Principles of optics
Operating in the GEO, the sandwich structure is always
pointing toward earth. A large number of at reectors
that act as individually pointing heliostats[14] are
steered to reect the sunlight into the PV cell array. Fig. 2
illustrates the structure of the reectors and its opera-
tional principle.
Some schemes of the ALPHA have been proposed
varying from the different approaches to the primary
structure congurations, the newest one among which is
the 2013 version [10]. The main reector is created by
Table 1
Typical SSPS concepts.
Reference model [11] Sun tower [12] Solar disc [4] ISC [4] Sun Sail [4] Tethered- SSPS [8] ALPHA [13]
Year 1979 1995 1997 1998 1999 2001 2012
Organization NASA/ DOE NASA NASA NASA ESA METI/ USEF Artemis
Orbit GEO LEO GEO GEO GEO GEO GEO
Power (GW) 5 0.10.4 110 1.2 0.275 0.75 2
Frequency (GHz) 2.45 5.8 5.8 2.45 2.45 5.8 2.45
Mass (MT) 30,0 0050,000 20 007000 80 0070,000 35,00 0 3750 3800 25,260
*
Focus Non Point Non Point Non Non Distributed
Modularity Monolithic Modular Monolithic Modular Modular Modular Modular
*
The data is from the ALPHA DRM 5/Case_4B, a mature full-scale SSPS with 2 GW power for commercial markets, which might to be realized at least
30 years.
Fig. 1. Basic architecture of the ALPHA concept.
HexFrame
HexBux
Interconnects
Reflectors
Sandwich Sunlight
Reflectors
Fig. 2. Structure and adjustment of the reectors.
Y. Yang et al. / Acta Astronautica 121 (2016) 515852
rotating a sigmoid curve [15] and secondary reector is a
hyperboloid. The introduction of the secondary reector
could enhance the effective area of receiving energy and
sunlight collecting efciency. Part of sunrays are reected
by the main reector whilst others being rstly reected
by the main mirrors and then secondly reected by the
secondary mirrors.
Concerning the ALPHA, distributed focusing and
adjustment for reector modules in place of integral
adjustment have been utilized. Therefore, the reector
modules are needed to be adjusted individually in differ-
ent attitude control strategies. For example, ALPHA
DRM_5/Case_4B [13], representing large-scale GEO-based
SSPS platform, as many as 4,662 reector modules are
required real-time adjustment, which would certainly
results in mirror interference and complicated control.
Moreover, the effective projected area of sunlight on
the reectors varies from the incident angle, which would
be less than the geometric area of the reectors. Therefore,
part of sunrays emitting to the aperture of the reectors
could not be reected to the PV cell array. The phenom-
enon could be described as light leaking, as is shown in
Fig. 3.
3. The OMEGA design project
Optics, mechanics, electromagnetism, thermology,
control, and other disciplines are all concerned in the SSPS
design. In general, improvement of one performance
would lead to a decline in another performance. For
instance, the sandwich structure eliminates the wired
power transmission via long electric cables, nevertheless,
difculty on thermal control is greatly increased [16].
Taking main factors which make great inuences on SSPS
performance in design stage, a novel concept is proposed.
The novel concept has some technical advances over some
previous concepts, such as no need of integral adjustment
on main reector, low demand on thermal control, wired
power transfer from PV array to transmitting antenna in
short distance and low-mass connection structure
between main reector and transmitting antenna.
The SSPS-OMEGA [17] (Space Solar Power Station via
Orb-shape Membrane Energy Gathering Array) concept
can be described as a modular, spherical system concept in
which sunlight is collected with the main reector and
power is generated in a series of PV cell array. The elec-
tricity is delivered into the microwave devices with the
electric cables and conductive joints. Fig. 4 provides a
summary diagram of the OMEGA concept.
3.1. Principles of optics
The focusing mode of spherical reector is line-
focusing. Fig. 5 illustrates the light propagation process
in a two-dimensional plane. On the basis of geometrical
optics, the incident light paralleling to the z-axis is
reected by the reecting surface and converges to the
region from R/2 to R, where Ris the spherical radius. Mis
the boundary point, the incident light reecting only once
could arrive the focusing region if x-coordinate of the
intersection of the x-axis and the direction vector of sun-
light x
in
Að0;Rcos 301Þwhilst two or more times of
reecting being needed if x
in
AðRcos 301;RÞ.
As presented in Fig. 5,ifx
in
AðRcos 301;RÞ, two or more
times of reecting will be needed. On the one hand, the
Points of junction
Cables
Module Basic elements
Full size
Primary
Sub-array
Secondary
Sub-array
PV cell
Electric
cables
Sliding slice
Pulleys
Sliding rail
Conductive
joint
Thin-film
reflector
modules
Fig. 4. Summary diagram of the SSPS-OMEGA concept.
Reflector
PV cell
Reflector
PV cell
Sunlight Sunlight
Before adjustment After adjustment
Fig. 3. Illustration of the light leaking.
Y. Yang et al. / Acta Astronautica 121 (2016) 5158 53
reectivity of a thin-lm is impossible to achieve 100% for
its physical properties. On the other hand, surface preci-
sion of multiple reection area is of high requirement for
efcient light propagation, which certainly would increa-
ses the manufacturing difculty. Therefore, removing the
multiple reection area to ensure the efcient utilization
of the reector is available, which certainly would reduce
the area and quality of spherical reector to some extent,
as is shown in Fig. 6 . It must be pointed out that this paper
deals with the region of one-time reecting, if the surface
accuracy and reectivity meet the requirements, can the
areas of two or more times reecting be persisted.
3.2. Approaches to the spherical reector
Two kinds of approaches are promising to the realiza-
tion of spherical reector.
3.2.1. Semi-transparent and semi-reecting thin lm
Semi-transparent and semi-reecting thin lm is
promising for the realization of the spherical reector.
Sunlight could pass through one side of the thin lm
whilst being reected by the other side. In this case, the
size of the main reector should be recalibrated on the
premise of invariant received power, and the radius can be
calculated as:
R
r
¼ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
W
Cη
r
η
t
η
c
ðπþ4R
0
π
=6
sin
2
φdφÞ
v
u
u
tð1Þ
where η
t
and η
r
are the transmissivity and reectivity of
the thin lm, respectively. η
c
is the average solar energy
collection efciency. Cis the power density of space solar
power. Wis the received power required by the system
design.
3.2.2. Rotation mechanism
Another simple approach is to make use of the rotation
mechanism. Thousands of reector modules are mounted
on a support structure and rotated individually. While
operating in the orbit, the reector modules facing the
sunlight are rotated to maintain their individual normal
vector being perpendicular to the direction vector of the
sunlight. The adjustment of the main reector is shown in
Fig. 7.
Typically, the radius can be expressed as:
R
r
¼ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
W
Cη
r
η
c
ðπþ4R
0
π
=6
sin
2
φdφÞ
v
u
u
tð2Þ
Theoretically, both the scale of main reector and its
mass would be decreased. Actually, as the use of control
mechanism, the analysis of optical path, energy collecting
efciency, as well as the radius and mass of main reector
are all variables to be analyzed in greater detail.
3.3. Orbit
Orbits, such as low earth orbit (LEO), geostationary
earth orbit (GEO), sun synchronous orbit (SSO), etc., have
been evaluated for SSPS. Table 2 summarizes a technical
comparison of the LEO and GEO.
As is described in Table 2, SSPS in LEO presents better
performance than that in GEO for its size, mass, cost, etc.
while multiple systems would be needed to provide con-
tinuous power to target area. However, SSPS is expected to
supply earth with baseload power and SSPS in GEO has
0X
Z
Incident sunlight
30°
60°
R
M
Fig. 5. Illustration of light path in 2D.
O
X
Z
Y
Interception part
Sunlight
Fig. 6. Illustration of multiple reection area.
Sunlight Reflectors
PV cell
Fig. 7. Attitude control of the reectors.
Y. Yang et al. / Acta Astronautica 121 (2016) 515854
very simple attitude control. Therefore, GEO has been
chosen by most SSPS concepts, also by the OMEGA
concept.
3.4. Solar power generation
High efciency GaAs solar cell array is expected for the
proposed project. A hyperboloid-based shape is designed
for the PV cell array to obtain better performance on
energy distribution uniformity and a suitable condensa-
tion ratio. The array is rotated at constant angular velocity
to collect solar power continuously with an orbital period
of 24 h. Theoretically, in addition to the shadow region, the
receiving power of PV cell array uctuates little, as is
shown in Fig. 8.
3.5. Power management and distribution (PMAD)
Fig. 9 indicates the transmission process of the direct
current (DC) from the PV cell array to the microwave
devices. DC would be transmitted into the microwave
devices via the electric cables, sliding slice and conductive
joint. Line contact has been introduced between the slice
and rail to reduce the friction, also pulleys for guarantee-
ing mechanical connection strength. As solar cells and
transmitting antenna are not designed in sandwich
structure, the difculty on heat dissipation would be
reduced, and allowable concentration ratio of PV cell array
increased. Compared to the design schemes with electric
cables connection, such as Sun tower (ground-receiving
power is 100400 MW, the maximum cabling connecting
length is as long as 15 km [18]), the maximum cabling
length of the proposed project will be in 3.54.5 km scale
for design reference mission which is capable of 2 GW
power supply on the ground.
3.6. Wireless power transmission
There are two fundamental approaches for wireless
power transmission: one that uses a coherent microwave
beam at specic frequencies, and the second using a laser.
The advantage of using a laser is extremely short wave-
lengths, which enables very small transmitting antenna
and receiving antenna. Moreover, the very low efciency
of key components and inability to pass readily through
haze or cloud cover results in its unavailability for SSPS. By
comparison, microwave power transmission (MPT) has
greater component efciency. Furthermore, low cloud
penetration loss and relatively mature technology enable
its potential for application for SSPS. Therefore, great
efforts have been made in the study of MPT whilst most
concepts using microwave beam for power transmission
[4,5], the OMEGA concept included. Moreover, several
experiments implemented by the US and Japan have
conrmed the validity of MPT for SSPS [10,19,20].
3.6.1. Microwave frequency and dimension of transmitting
antenna
As far as the scale of the SSPS is concerned, the size of
the transmitting antenna and ground-receiving antenna
are key points, which determine the system scale and cost.
On the basis of radio wave theory [21], the beam collection
efciency (BCE) between transmitting and receiving
antennas can be calculated by,
η¼1e
τ
2
ð3Þ
τ¼ffiffiffiffiffiffiffiffiffi
A
t
A
r
pλLð4Þ
where A
t
,A
r
,λand Lare aperture area of the transmitting
antenna, aperture area of the receiving antenna, wave
length, and distance between these two antennas,
respectively.
Table 2
Illustration of orbits for SSPS.
Altitude Size Mass Cost Efciency Attitude control
LEO Low Low Low Low High Complex
GEO High High High High Low Simple
Fig. 8. Variation of solar collection with local time.
PV cell
Sliding slice
Pulleys
Sliding rail
Conductive joint
Electric cables
Fig. 9. Diagram of the PMAD system.
Y. Yang et al. / Acta Astronautica 121 (2016) 5158 55
It is obvious that the shorter wave length, or higher fre-
quency means smaller aperture are of the antenna on given
BCE. In contrast, efciency of circuits, semiconductors, and
tubes decreases with increasing frequency. For MPT to the
surface of the earth, a limited range of microwave frequencies
is suitable. Frequencies at 2.45 GHz, 5.8 GHz and 35 GHz are
within the microwave radio windows of the atmosphere. In
view of the technical maturity in 2030 years based on
potential progress of the microwave devices, the heat dis-
sipation and the cost, frequency at 5.8 GHz is promising for
the WPT of the OMEGA concept.
As is seen in Fig. 10,eld regions can be divided into
reactive near-eld region, radiating near-eld (Fresnel)
region, and far-led region, under the condition that
RrR
1
,R
1
rRrR
2
, and R4R
2
, respectively, where
R
1
¼0:62 ffiffiffiffiffiffiffiffiffiffi
D
3
t
=λ
q,R
2
¼2D
2
t
=λ, and D
t
is the largest dimen-
sion of the transmitting antenna.
For small angle of beam divergence, the receiving
antenna should be in Fresnel region while Lo2D
2
t
=λ. As far
as the proposed project is concerned, the altitude of the
orbit is L¼36000km, the frequency is 5.8 GHz (the cor-
responding wave length is 5.17 cm), the receiving antenna
is located in the Fresnel region while D
t
Z965m. Therefore,
the diameter of the proposed transmitting antenna is
about 1 km scale.
3.6.2. Ultra-large antenna plane assembly and integration
Transmitting antenna of the OMEGA requires a dia-
meter of about 1 km at 5.8 GHz which is considerably
larger in size and weight than conventional onboard
antennas for other microwave applications, such as com-
munications [22]. Moreover, total number of the antenna
elements is about 5.2 million with antenna element spa-
cing of 0.75
λ
¼3.88 cm. Therefore, it is impossible to form
such a large aperture in a single aperture, therefore,
modular design and sub-array is a promising way to deal
with the problem. As is presented in Fig. 11, the modules,
which consist of several basic elements, compose a pri-
mary sub-array which is a basic unit of a secondary sub-
array. Several groups of secondary sub-arrays consist of
the full size antenna plane.
3.6.3. Beam forming
Accuracy of beam forming is very important in
increasing the BCE, which is one of the key indexes of WPT
system. Traditionally, the prole of the microwave inten-
sity for the transmitting antenna has been premised 10 dB
Gaussian commonly in the past and current SSPS models
to concentrate the microwave beam power in the main
lobe, that is the optimal WPT tapering [23] is found to be
quasi-Gaussiandistribution. However, the feeding net-
work is complicated to fabricate and maintain, owing to its
smooth natureof quasi-Gaussiandistribution [24].A
novel method has been proposed by our group by use of
uniformly excited, unequally spaced planar array synth-
esis, which shows better performance on enhancing BCE
and reducing sidelobes [24].
3.6.4. Beam control
Precise beam control is necessary in the proposed
system. The required beam control accuracy of MPT system
may be achieved using a very large number of power-
transmitting antenna elements, and by limiting the total
phase errors over the antenna array to a few degrees to
realize the 0.0005 degree beam control, corresponding to
2 arc seconds [4]. Moreover, 6 or 8 cables pre-stressed are
designed for OMEGA concept to keep the antenna stability,
as is described in Fig. 12. However, if the antenna is
required for some other use, the attitude of the antenna
can be controlled by adjusting the length of the cables.
4. System analysis
The OMEGA concept is proposed for providing base
load power into terrestrial markets. Therefore, system
scale and cost are key factors which should be taken into
consideration. In view of efciency of the key components,
such as PV cell, microwave power tubes and rectenna at
current state which are available for mass production, the
system would be a tremendous project with excessive
R
2
R
1
D
Reactive
near-field region
Rediating near-field (Fresnel) region
Far-field region
Fig. 10. Field regions.
Module Basic elements
Full size
Primary
Sub-array
Secondary
Sub-array
Fig.11. Illustration of the ultra-large antenna plane.
Y. Yang et al. / Acta Astronautica 121 (2016) 515856
investment. Accordingly, the realization is hardly possible
via current technologies. The OMEGA is proposed for
supplying 2 GW power into earths grid, which might be
for realization around 2050. Without consideration of
environmental adaptability in space, transportation and
inventions of revolutionary devices, Table 3 provides a
preliminary analysis on system efciency at current state
and for the OMEGA.
From the data in Table 3, with current technologies, the
spherical solar power collector is estimated for effectively
collecting solar power at least 22.4 GW. The system is
estimated in 810 km scale, which is unlikely for realiza-
tion both for technological maturity and cost. Never-
theless, advanced technologies are promising for its reali-
zation. Table 4 summarizes the estimated system scale,
efciencies of wired and wireless power transmission and
system mass of the OEMGA, which might be realized
around 2050.
5. Conclusion
SSPS-OMEGA project has been investigated in a con-
ceptual study level. Both principles of optics, structure
conguration, wired and wireless power transfer are dis-
cussed in the manuscript. This project has several advan-
tages, as summarized below:
(1) Compared to previous concepts with need of whole
adjustment on main reector, the proposed concept
decreases the energy consumption for adjustment.
(2) PV cell array and transmitting antenna are designed in
separate parts, which is propitious to heat dissipation.
(3) Solar energy collection has low uctuation with the
local time, which is protable for continuous and
stable energy supplying.
(4) The transmitting antenna is connected to the main
reector through long span cables, which could reduce
the mass of connecting mechanism.
(5) The maximum cabling length of the proposed project
could be reduced as about 4 times as that in the
Tethered SSPS.
The ndings of this study have important reference
value. However, the implementation of this elegant con-
cept is far from realization on account of low maturity for
key technologies and high cost. Furthermore, as a con-
ceptual study, many key points should be studied in detail.
Therefore, further studies need to be carried out to enable
the OMEGA concept:
(1) The energy distribution, system mass and scale are
necessary to be further studied via structure
optimization.
Fig. 12. Connection between the reector and antenna.
Table 4
The OMEGA scale preliminary results (2 GW @ Earth).
Specication Mass (MT)
Spherical collector Specic mass goal is 0.051 kg/m
2
, including thin-lm reector and skeleton frame. 957
Solar power generation GaAs, efciency goal is 60% and power/mass ratio goal is 300 0 W/kg 1903
PMAD Superconducting cables, specic mass goal is 15 kg/m. 59
Transmitting antenna Specic mass goal is 25 kg/m
2
, including solid-state transmitters, power division network, phase shifters,
antenna elements and support structure.
19,634
Attitude control Propulsion system with propellant. 400
Total 22,953
Table 3
The OMEGA system efciency preliminary results (2 GW @ Earth).
Current state The OMEGA
Efciency Power
(GW)
Efciency Power
(GW)
Photoelectric
efciency
0.30 22.4* 0.60 5.14*
DC-RF efciency 0.50 6.73 0.85 3.09
Amplitude error 0.99 3.37 0.99 2.62
Phase error 0.98 3.33 0.98 2.59
Quantization error 0.99 3.27 0.99 2.54
Antenna aperture
efciency
0.98 3.23 0.98 2.52
Propagation loss 0.98 3.17 0.98 2.47
Beam collection
efciency
0.92 3.11 0.92 2.42
Rectenna efciency 0.70 2.86 0.90 2.22
DC 2.00 2.00
dc-dc efciency 18.2% 47.4%
Y. Yang et al. / Acta Astronautica 121 (2016) 5158 57
(2) The specic number, structure, connecting point, and
pre-stressed force of the cables are all variables to be
analyzed in greater detail.
(3) Attitude control and vibration suppression of the
proposed concept should be implemented for its
stable operation.
(4) The inuence caused by the carbon ber frame and
thin lm of the main reector on the BCE and beam
pointing remains to be intensively studied.
(5) Field-coupling model [25] involving optics, mechanics,
electricity, thermology and electromagnetic eld
should be studied thoroughly to improve system
performance.
Acknowledgments
The research was supported by the National Natural
Science Foundation of China under Grants no. 51405361,
No. 51490660 and in part by the Fundamental Research
Funds for Central Universities under Grant no. SPSZ011401.
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Glossary of acronyms
ALPHA: Arbitrarily Large Phased Array
BCE: Beam collection efciency
DC: Direct current
DOE: Department of Energy
ESA: European Space Agency
GEO: Geostationary Earth Orbit
GHz: Gigahertz
GMT: Greenwich Mean Time
GW: Gigawatts
ISC: Integrated Symmetrical Concentrator
JAXA: Japan Aerospace Exploration Agency
kg: Kilogram(s)
km: Kilometer(s)
kW: Kilowatts
LEO: Low Earth Orbit
METI: Ministry of Economy, Trade and Industry
MPPR: Modular Push-me/Pull-you Robotic (Arm)
MPT: Microwave Power Transmission
mT: Metric Tons
MW: Megawatts
NASA: National Aeronautics and Space Administration
OMEGA: Orb-shape Membrane Energy Gathering Array
PAC: Propulsion / Attitude Control
PMAD: Power management and distribution
PV: Photovoltaic
SPG: Solar Power Generation
SSPS: Space Solar Power Station/Space Solar Power Satellite
STFC: Symmetrical Two-stage Flat Reected Concentrator
USEF: Ministry of Economy, Trade and Industry
WPT: Wireless Power Transmission
Y. Yang et al. / Acta Astronautica 121 (2016) 515858
... The results demonstrate that the influence of non-uniform lighting on PV cells is effectively reduced, the output power of PV modules connected in series under non-uniform light distribution is substantially increased, and the photoelectric conversion efficiency is significantly improved. The energy collection system of the SSPS-OMEGA is verified by a full-chain groundbased validation system [9,11]. The ground demonstration system consists of a spherical concentrator, photoelectric conversion, electric energy management, microwave emission and other components. ...
... This not only leads to a lower utilization of the cell, but also does not facilitate the series/parallel connection of PV cells. In addition, PV arrays have serious heat dissipation problems in areas where the concentration ratio difference is too large [11]. To find the optimal generatrix of the solar receiver, the objective function should be a uniform light A cylindrical initial solar receiver model with a radius of r is established, and the initial shape of the solar receiver is taken as r = R/20. ...
... This not only leads to a lower utilization of the cell, but also does not facilitate the series/parallel connection of PV cells. In addition, PV arrays have serious heat dissipation problems in areas where the concentration ratio difference is too large [11]. To find the optimal generatrix of the solar receiver, the objective function should be a uniform light intensity distribution on the surface of the solar receiver. ...
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