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 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 n-k+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 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.
