Omnidirectional Chargability With Directional Antennas
Haipeng Dai, Yikang Zhang, Xiaoyu Wang, Alex X. Liu, Guihai Chen
Abstract
Wireless Power Transfer (WPT) has received more and more attention for its convenience and reliability. In this paper, we first propose the notion of omnidirectional charging. First, we consider the problem of detecting whether the target area achieves omnidirectional charging given a deterministic deployment of chargers. We use piecewise constant approximation and area discretization techniques to partition the target area and approximate charging power as constants. Next, we propose the Minimum Coverage Set extraction technique to design a fast detection algorithm. Second, we design a charger deployment scheme that satisfies omnidirectional charging. By placing the chargers at the triangle lattice points, we estimate the length of triangle lattice side length that satisfies omnidirectional charging, and derive the error bound with the optimal length. Third, we determine the probability that the target area achieves omnidirectional charging given a random deployment of chargers. We devise both analytical and numerical solutions for the problem with good accuracy. Finally, we conduct simulation and field experiments, and the results show that the running speed of our omnidirectional charging detection algorithm is at least <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$1\times$</tex-math></inline-formula> faster than comparison algorithms, and the consistency degree of our theoretical results and field experimental results is larger than <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$93.6 \%$</tex-math></inline-formula> .