  LoRa networks have been deployed all over the world and are a major enabling
wireless technology for the Internet of Things (IoT). Massive connectivity
applications such as smart metering, agriculture, and supply chain \& logistics
are most suitable for LoRa deployments due to their long range, low cost, and
low power features. Meanwhile, energy harvesting technologies that extract
energy from ambient sources have enabled the battery-less operation of many
small wireless sensors. This paper studies the merger of these two technologies
and mathematically models device and network performance using tools from
stochastic geometry and Markov analysis. To that end, we derive the
steady-state distribution of the capacitor voltage, the outage probability due
to co-spreading factor interference at the LoRa gateway, and propose adaptive
charging time schemes in order to mitigate energy outage events.
