text: abstract: a wireless charging station (wcs) transfers energy wirelessly to nodes within its charging range. this paper investigates
  the impact of node speed on throughput of wcs overlaid mobile
  ad-hoc networks (manet) when packet transmissions are constrained by energy status of each node. nodes in such a network
  shows twofold charging pattern depending on their moving speeds.
  a slow moving node outside wcs charging regions resorts to wait
  energy charging from wcss for a long time while that inside wcs
  charging regions consistently recharges the battery. a fast moving node waits and recharges directly contrary to the slow moving
  node. reflecting these phenomena, we design a two-dimensional
  markov chain of which the state dimensions respectively represent
  remaining energy and distance to the nearest wcs normalized by
  node speed. solving this enables to provide the following three impacts of speed on throughput. firstly, higher node speed improves
  throughput by reducing the inter-meeting time between nodes and
  wcss. secondly, such throughput improvement by higher speed is
  replaceable with larger battery capacity. finally, we prove that the
  throughput scaling is independent of node speed.
  index terms: wireless power transfer, energy provision, wireless
  charging station, node speed, battery capacity, node density, scaling law.