Decarbonizing modern power distribution networks requires a fundamental shift from generation-centric control to bi-directional, user-participatory mechanisms. While existing demand response (DR) frameworks prioritize total operational economy, they often neglect the disparate financial impacts on heterogeneous stakeholders, leading to potential social resistance. To address this, this study develops a multi-physics aware dispatch framework that reconciles economic objectives with cross-sectoral equity. Unlike conventional data-driven models, our approach embeds a LinDistFlow-based physical safety layer and a depth-of-discharge (DoD) battery degradation model directly into the learning environment to ensure hardware stewardship and grid stability. We employ a Soft Actor-Critic (SAC) agent optimized with Jain’s Fairness Index to dynamically allocate transition costs among residential, commercial, and industrial sectors. Simulation results on an IEEE 33-bus system demonstrate that the proposed strategy achieves zero voltage violations and a significant leap in social harmony, yielding a robust 92% fairness index with a negligible 3.2% sacrifice in system-wide efficiency.
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