In this article, a comprehensive analysis of the achievable throughput in interference‐limited wireless‐powered networks (WPNs) with nonlinear energy harvester is presented. In particular, we consider a WPN in which an energy‐constrained transmitter access point (AP) harvests radio‐frequency (RF) energy transferred by a power beacon (PB) before data transmission to destination node. The AP and PB are equipped with multiantenna, whereas the destination node and interferers nodes are equipped with a single antenna. The channel between the PB and the AP experiences Nakagami‐m fading, while the channels between the AP and the destination, and the interferers nodes and the destination are assumed to follow ℱ composite fading channels. For this system, we derive novel analytical expressions for the achievable capacity under different transmission schemes, namely optimal rate adaptation, effective capacity, optimal power and rate adaptation, channel inversion with fixed rate, truncated channel inversion with fixed rate, and effective capacity. The derived expressions are then employed to evaluate the performance of the achievable throughput under different system and channel conditions. The analytical analyses are validated through numerical and Monte‐Carlo simulations.