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NarrowBand-Internet of Things (NB-IoT) is a new 3GPP radio access technologydesigned to provide better coverage for a massive number of low-throughputlow-cost devices in delay-tolerant applications with low power consumption. Toprovide reliable connections with extended coverage, a repetition transmissionscheme is introduced to NB-IoT during both Random Access CHannel (RACH)procedure and data transmission procedure. To avoid the difficulty in replacingthe battery for IoT devices, the energy harvesting is considered as a promisingsolution to support energy sustainability in the NB-IoT network. In this work,we analyze RACH success probability in a self-powered NB-IoT network takinginto account the repeated preamble transmissions and collisions, where each IoTdevice with data is active when its battery energy is sufficient to support thetransmission. We model the temporal dynamics of the energy level as abirth-death process, derive the energy availability of each IoT device, andexamine its dependence on the energy storage capacity and the repetition value.We show that in certain scenarios, the energy availability remains unchangeddespite randomness in the energy harvesting. We also derive the exactexpression for the RACH success probability of a {randomly chosen} IoT deviceunder the derived energy availability, which is validated under differentrepetition values via simulations. We show that the repetition scheme canefficiently improve the RACH success probability in a light traffic scenario,but only slightly improves that performance with very inefficient channelresource utilization in a heavy traffic scenario.

RACH in Self-Powered NB-IoT Networks: Energy Availability and Performance Evaluation