  With the widespread adoption of Renewable Energy Sources (RESs) in
low-voltage distribution systems, opportunities for energy trading among peers
have emerged. In particular, the advent of distributed ledgers and blockchain
technologies has catalyzed the application of Peer-to-Peer (P2P) economic
concepts in decentralized, small-scale energy trading. This paper focuses on
the critical physical layer aspects of transactions within the context of P2P
energy trading, with a specific emphasis on addressing network constraints. Key
challenges include maintaining margins for over/under voltage, voltage balance,
and preventing congestion, all of which must be upheld during P2P energy
exchanges. To address these challenges, we propose a novel analytical approach
tailored to distribution networks. Furthermore, we introduce the Block Double
Auction (BDA) mechanism as the P2P market mechanism for determining the
acceptance or rejection of P2P transactions. The effectiveness of our proposed
method is validated using the IEEE 33-node distribution test system,
demonstrating its robust capabilities.
