Summary This article presents a direct power control (DPC) method to cover entire power limit area (PLA) of grid‐connected converter for Distributed Generation (DG) application. By using of the Lyapunov theory, an online decision‐making process is designed in which the optimum switching state of converter is determined only based on interactions between grid/converter voltages and power errors. The proposed method neither needs small sampling time nor system's parameters. In this paper, two major tracking indexes are evaluated throughout PLA: apparent power error and average switching frequency. This evaluations lead to a better analysis of the controllers' behavior across the entire operation range (ie, PLA). Effects of different sampling times and parameter mismatch are depicted in the results, which indicate optimum and reliable performances of the proposed method.

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