Abstract

This paper presents an integrated system for ensuring uninterrupted power supply to tethered high-altitude platform systems (HAPS) by strategically managing the repair and replenishment of batteries in a k-out-of-n:G, COLD system. We assume that the batteries are identical and their lifetimes are independent of each other and exponentially distributed. The batteries deteriorate independently due to failures and await repair. The repair facility is activated when the number of working batteries decreases to L(L<n), and a replenishment order for nk+1 batteries is placed when the number of operational batteries falls to N(N<L). We derive an explicit solution for the system-state probability and analyze key performance measures. Furthermore, we employ the particle swarm optimization (PSO) algorithm to determine the optimal cost for the proposed optimization problem and use the Morris method for sensitivity analysis. The results provide insights into efficient battery management strategies for HAPS, ensuring reliable power supply while minimizing costs.

References

1.
D'Oliveira
,
F. A.
,
Melo
,
F. C. L. D.
, and
Devezas
,
T. C.
,
2016
, “
High-Altitude Platforms—Present Situation and Technology Trends
,”
J. Aerosp. Technol. Manage.
,
8
(
3
), pp.
249
262
.10.5028/jatm.v8i3.699
2.
Jain
,
V.
,
Vishnevsky
,
V.
,
Selvamuthu
,
D.
, and
Raj
,
R.
,
2022
, “
Analysis of Power Management in a Tethered High Altitude Platform Using MAP/PH [3]/1 Retrial Queueing Model
,”
International Conference on Distributed Computer and Communication Networks
, Moscow, Russia, Sept. 26–29, pp.
218
230
.10.1007/978-3-031-23207-7_17
3.
Aragon-Zavala
,
A.
,
Cuevas-Ruíz
,
J. L.
, and
Delgado-Penín
,
J. A.
,
2008
,
High-Altitude Platforms for Wireless Communications
,
Wiley
, Chichester, West Sussex, UK.
4.
Belmekki
,
B. E. Y.
, and
Alouini
,
M.-S.
,
2022
, “
Unleashing the Potential of Networked Tethered Flying Platforms: Prospects, Challenges, and Applications
,”
IEEE Open J. Veh. Technol.
,
3
, pp.
278
320
.10.1109/OJVT.2022.3177946
5.
Vishnevsky
,
V.
, and
Meshcheryakov
,
R.
,
2019
, “
Experience of Developing a Multifunctional Tethered High-Altitude Unmanned Platform of Long-Term Operation
,” Proceedings of the Fourth International Conference on Interactive Collaborative Robotics (
ICR 2019
), Istanbul, Turkey, Aug. 20–25, pp.
236
244
.10.1007/978-3-030-26118-4_23
6.
Arum
,
S. C.
,
Grace
,
D.
,
Mitchell
,
P. D.
,
Zakaria
,
M. D.
, and
Morozs
,
N.
,
2020
, “
Energy Management of Solar-Powered Aircraft-Based High Altitude Platform for Wireless Communications
,”
Electronics
,
9
(
1
), p.
179
.10.3390/electronics9010179
7.
Alam
,
M. S.
,
Kurt
,
G. K.
,
Yanikomeroglu
,
H.
,
Zhu
,
P.
, and
Ðào
,
N. D.
,
2021
, “
High Altitude Platform Station Based Super Macro Base Station Constellations
,”
IEEE Commun. Mag.
,
59
(
1
), pp.
103
109
.10.1109/MCOM.001.2000542
8.
Choi
,
S.
, and
Wang
,
G.
,
2018
, “
Advanced Lithium-Ion Batteries for Practical Applications: Technology, Development, and Future Perspectives
,”
Adv. Mater. Technol.
,
3
(
9
), p.
1700376
.10.1002/admt.201700376
9.
Perelomov
,
V.
,
Myrova
,
L.
,
Aminev
,
D.
, and
Kozyrev
,
D.
,
2018
, “
Efficiency Enhancement of Tethered High Altitude Communication Platforms Based on Their Hardware-Software Unification
,” Proceedings of the 21st International Conference on Distributed Computer and Communication Networks (
DCCN 2018
), Moscow, Russia, Sept. 17–21, pp.
184
200
.10.1007/978-3-319-99447-5_16
10.
Vishnevsky
,
V.
,
Selvamuthu
,
D.
,
Rykov
,
V.
,
Kozyrev
,
D.
, and
Ivanova
,
N.
,
2022
, “
Reliability Modeling of a Flight Module of a Tethered High-Altitude Telecommunication Platform
,” 2022 International Conference on Information, Control, and Communication Technologies (
ICCT
), Astrakhan, Russian Federation, Oct. 3–7, pp.
1
6
.10.1109/ICCT56057.2022.9976764
11.
Li
,
M.
,
Hu
,
L.
,
Peng
,
R.
, and
Bai
,
Z.
,
2021
, “
Reliability Modeling for Repairable Circular Consecutive-k-Out-of-n: F Systems With Retrial Feature
,”
Reliab. Eng. Syst. Saf.
,
216
, p.
107957
.10.1016/j.ress.2021.107957
12.
Yam
,
R. C.
,
Zuo
,
M. J.
, and
Zhang
,
Y. L.
,
2003
, “
A Method for Evaluation of Reliability Indices for Repairable Circular Consecutive-k-Out-of-n: F Systems
,”
Reliab. Eng. Syst. Saf.
,
79
(
1
), pp.
1
9
.10.1016/S0951-8320(02)00204-1
13.
Li
,
X.
,
Zuo
,
M. J.
, and
Yam
,
R. C.
,
2006
, “
Reliability Analysis of a Repairable k-Out-of-n System With Some Components Being Suspended When the System Is Down
,”
Reliab. Eng. Syst. Saf.
,
91
(
3
), pp.
305
310
.10.1016/j.ress.2005.01.010
14.
Kozyrev
,
D.
,
Phuong
,
N. D.
,
Houankpo
,
H.
, and
Sokolov
,
A.
,
2019
, “
Reliability Evaluation of a Hexacopter-Based Flight Module of a Tethered Unmanned High-Altitude Platform
,” Revised Selected Papers of the 22nd International Conference on Distributed Computer and Communication Networks (
DCCN 2019
), Moscow, Russia, Sept. 23–27, pp.
646
656
.10.1007/978-3-030-36625-4_52
15.
Nguyen
,
D. P.
, and
Kozyrev
,
D. V.
,
2020
, “
Reliability Analysis of a Multirotor Flight Module of a High-Altitude Telecommunications Platform Operating in a Random Environment
,” 2020 International Conference Engineering and Telecommunication (
En&T
), Dolgoprudny, Russia, Nov. 25–26, pp.
1
5
.10.1109/EnT50437.2020.9431312
16.
Mittal
,
N.
,
Ivanova
,
N.
,
Jain
,
V.
, and
Vishnevsky
,
V.
,
2024
, “
Reliability and Availability Analysis of High-Altitude Platform Stations Through Semi-Markov Modeling
,”
Reliab. Eng. Syst. Saf.
,
252
, p.
110419
.10.1016/j.ress.2024.110419
17.
Dharmaraja
,
S.
,
Sivam
,
A. H.
,
Raj
,
R.
, and
Vishnevsky
,
V.
,
2023
, “
Study of Reliability of the On-Tether Subsystem of a Tethered High-Altitude Unmanned Telecommunication Platform
,”
Reliab.: Theory Appl.
,
18
(
1 (72)
), pp.
172
178
.10.24412/1932-2321-2023-172-172-178
18.
Krishnamoorthy
,
A.
,
2021
, “
A Reliability-Inventory Problem Under N-Policy of Replenishment of Component
,”
Reliab.: Theory Appl.
,
16
(
4 (65)
), pp.
73
87
.10.24412/1932-2321-2021-465-73-87
19.
SoftBank Research Institute of Advanced Technology
,
2023
, “
Exploring HAPS' Long-Duration Flight From an Energy Perspective
,” SoftBank Research Institute of Advanced Technology, Japan, accessed May 27, 2024, https://www.softbank.jp/en/corp/technology/research/story-event/028/
20.
Gad
,
A. G.
,
2022
, “
Particle Swarm Optimization Algorithm and Its Applications: A Systematic Review
,”
Arch. Comput. Methods Eng.
,
29
(
5
), pp.
2531
2561
.10.1007/s11831-021-09694-4
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