  With the sustained attention on carbon neutrality, the personal carbon
trading (PCT) scheme has been embraced as an auspicious paradigm for scaling
down carbon emissions. To facilitate the simultaneous clearance of energy and
carbon allowance inside the energy community while hedging against uncertainty,
a joint trading framework is proposed in this article. The energy trading is
implemented in a peer-to-peer (P2P) manner without the intervention of a
central operator, and the uncertainty trading is materialized through procuring
reserve of conventional generators and flexibility of users. Under the PCT
scheme, carbon allowance is transacted via a sharing mechanism. Possible
excessive carbon emissions due to uncertainty balance are tackled by obliging
renewable agents to procure sufficient carbon allowances, following the
consumption responsibility principle. A two-stage iterative method consisting
of tightening McCormick envelope and alternating direction method of
multipliers (ADMM) is devised to transform the model into a mixed-integer
second-order cone program (MISOCP) and to allow for a fully decentralized
market-clearing procedure. Numerical results have validated the effectiveness
of the proposed market model.
