This paper proposes a novel method for generating autonomous distributed control strategies for power systems by utilizing large-scale language models (LLMs). In particular, we apply LLMs to experience-based voltage control solutions for distributed networks, enabling self-evolution of LLM-based voltage control strategies through interactions among experience storage, retrieval, generation, and modification modules. Experimental results demonstrate the effectiveness of the proposed method and the applicability of LLMs to solving distributed control problems in power systems.