Efficient Modeling of Interactions Between Radiating Devices With Arbitrary Relative Positions and Orientations

Generalized polynomial chaos paradigms to model uncertainty in wireless links

“…Table I. The fast radiative near-field formalism found in [5] is leveraged to compute the wireless link efficiency η link of the WPT link, for arbitrary positions of transmitter and receiver. On the latter antenna, the rectifier together with voltage doubler and matching network (Fig.…”

“…These are leveraged for a fast evaluation of the radiative near-field link, following the formalism adopted in [5], from which the wireless link efficiency η link and the incoming power P RX , can be computed. Given the experimental data found in [1], [11], L, W and r are all independent Gaussian random variables (see Table II for their mean values and standard deviations).…”

“…Therefore, the multivariate polynomials φ m , selected by means of the ST algorithm, is processed with the WPT model described in [5] and the antenna macromodels to compute the coefficients y k7 in (16).…”

“…Next, we introduce a generalized polynomial chaos (gPC) expansion for each antenna configuration to model the corresponding variations in its radiation characteristics. Furthermore, on a higher level, a second gPC expansion, leveraging on a very efficient technique which assess the electromagnetic interaction among arbitrarily positioned radiating devices [5], [6], quantifies the impact of both antenna variability and position uncertainties on the PTE of the system. As the number of random variables describing all uncertainties in the complete wireless link may be large, a straightforward application of the SCM technique is not efficient.…”

Efficient modeling of the wireless power transfer efficiency for varying positions and orientations between transmitter and receiver

“…Then it was shown in [4] that, in the radiative near-field, the short-circuit current I sc at the terminals of the receiver can be described as:…”