A Renewable-Energy-Oriented Coordinated Electricity–Computing–Carbon Dispatch Method for Data Centers and Dual Pumped Storage

The increasing penetration of renewable generation and the rapid growth of data-center demand require coordinated use of heterogeneous flexibility while respecting network operating limits. This study proposes a three-objective electricity–computing–carbon dispatch method that minimizes physical system cost, direct carbon dioxide emissions, and unutilized renewable energy. Data centers are represented through task arrivals, deadlines, server capacity, and facility efficiency, whereas pumped-storage plants retain independent power limits, reservoir states, terminal conditions, and connection locations. A diversity-archive disturbance–multi-objective particle swarm optimizer (DAD-MOPSO) couples archive diversity and stagnation feedback with resource-group temporal-block disturbance. In 30 paired runs, DAD-MOPSO produced feasible final solutions in all runs and reduced mean spacing by 51.8% relative to conventional MOPSO, with a Holm-adjusted p-value of 0.0071. Repeated evaluation of 12 workload-resource cases showed that pumped storage provided the dominant improvement in renewable-energy utilization, while workload rescheduling provided a smaller marginal contribution. Factorial analysis indicated partially overlapping rather than universally superadditive flexibility. Fixed-total-capacity tests further revealed pronounced siting dependence: the same 1200 MW/7200 MWh storage capacity was feasible in 30/30 runs at Bus16 but only 16/30 runs at Bus27 because of undervoltage. The proposed framework therefore provides a unified basis for coordinating heterogeneous flexibility and distinguishing marginal, interaction, siting, and network-limited effects.