Peer-to-peer (P2P) trading is seen as a viable solution to handle the growing number of distributed energy resources in distribution networks. However, when dealing with large-scale consumers, there are several challenges that must be addressed. One of these challenges is limited communication capabilities. Additionally, prosumers may have specific preferences when it comes to trading. Both can result in serious asynchrony in peer-to-peer trading, potentially impacting the effectiveness of negotiations and hindering convergence before the market closes. This paper introduces a connection-aware P2P trading algorithm designed for extensive prosumer trading. The algorithm facilitates asynchronous trading while respecting prosumer's autonomy in trading peer selection, an often overlooked aspect in traditional models. In addition, to optimize the use of limited connection opportunities, a smart trading peer connection selection strategy is developed to guide consumers to communicate strategically to accelerate convergence. A theoretical convergence guarantee is provided for the connection-aware P2P trading algorithm, which further details how smart selection strategies enhance convergence efficiency. Numerical studies are carried out to validate the effectiveness of the connection-aware algorithm and the performance of smart selection strategies in reducing the overall convergence time.

翻译：点对点（P2P）交易被视为处理配电网中日益增长的分布式能源资源的可行方案。然而，在处理大规模消费者时，存在若干需要解决的挑战。其中之一是通信能力有限。此外，产消者在交易时可能有特定的偏好。这两者都可能导致P2P交易中的严重异步性，潜在影响谈判效果并阻碍市场关闭前的收敛。本文提出一种面向大规模产消者交易的连接感知P2P交易算法。该算法在尊重产消者自主选择交易对等体（传统模型中常被忽视的方面）的同时，支持异步交易。此外，为优化有限连接机会的利用，开发了一种智能交易对等体连接选择策略，引导消费者进行策略性通信以加速收敛。为连接感知P2P交易算法提供了理论收敛保证，进一步详细说明了智能选择策略如何提升收敛效率。通过数值研究验证了连接感知算法的有效性以及智能选择策略在减少整体收敛时间方面的性能。