  Vehicle-to-Vehicle (V2V) communication technology has dramatically promoted
many promising applications to enhance traffic safety, mobility, and
sustainability. However, However, we still lack the understanding of some
fundamental properties of V2V technology under urban traffic conditions, such
as interference at traffic intersections. Motivated by this view, this study
develops the mathematical formulations to capture the worst-case interference
at traffic intersections, considering the macroscopic traffic flow conditions
and critical road geometric features including intersection diameter D, and
intersection angle {\alpha}. Built upon these formulations, we develop a
mathematical model to approximate a conservative transmission range to sustain
the successful V2V transmission at a traffic intersection. Our experiments
illustrate that the proposed analytical formulations can provide accurate
approximations for the interference and the corresponding transmission range at
orthogonal (non-orthogonal) traffic intersections under various traffic
congestion levels. Furthermore, this study conducted other experiments to
understand how intersection geometric features (such as (D, {\alpha})) impact
V2V communication at traffic intersections. The results illustrate that severer
interference and smaller transmission range occur at a smaller intersection
(with smaller diameter D) under heavy traffic congestion level. And the
orthogonal intersection gives critical thresholds (such as severest
interference and minimum transmission range) under all different traffic
conditions, which help in understanding the V2V communication performance at an
urban traffic intersection. These findings will potentially help to develop
efficient MAC algorithms adaptive to urban traffic conditions, and further
support various ITS applications using V2V communication. interference and
transmission range.
