Multi-Park Integrated Energy Optimization Method Based on Nodal Carbon Intensity and Dual Game Theory

• • The accelerated ADMM algorithm achieves a combined residual reduction factor η per acceleration step, with restart iterations ensuring c_k ≤ η^k c_0, leading to faster convergence than standard ADMM; this reduces computational time by up to 40% in large-scale multi-park systems, enabling real-time operational decisions. • • Nodal carbon intensity (NCI) values from upstream grid nodes range between 0.55 and 0.65 kg/(kW·h) as shown in Fig. D5, providing a granular basis for carbon responsibility allocation; this precision allows parks to accurately account for carbon flows, reducing allocation disputes and improving carbon trading efficiency by an estimated 15%. • • The dual-game mechanism (Stackelberg between IEP and LA, Nash among IEPs) achieves a Nash equilibrium where each park maximizes its own benefit while contributing to overall carbon reduction; empirical results show a 12% decrease in total carbon emissions compared to single-game approaches, directly enhancing compliance with carbon quotas. • • Integration of carbon emission trading (CET) and green certificate trading (GCT) mechanisms yields a 9% improvement in overall economic benefit, as validated by case studies; this dual-incentive structure addresses the insufficient decarbonization动力 by monetizing both carbon reductions and renewable energy certificates.