With the advent of the digital economy

there has been a rapid proliferation of small-scale Internet data centers (SIDCs).By leveraging their spatiotemporal load regulation potential through data workload balancing

aggregated SIDCs have emerged as promising demand response (DR) resources for future power distribution systems.This paper presents an innovative framework for assessing capacity value(CV) by aggregating SIDCs participating in DR programs (SIDC-DR).Initially

we delineate the concept of CV tailored for aggregated SIDC scenarios and establish a metric for the assessment.Considering the effects of the data load dynamics

equipment constraints

and user behavior

we developed a sophisticated DR model for aggregated SIDCs using a data network aggregation method.Unlike existing studies

the proposed model captures the uncertainties associated with end tenant decisions to opt into an SIDC-DR program by utilizing a novel uncertainty modeling approach called Z-number formulation.This approach accounts for both the uncertainty in user participation intentions and the reliability of basic information during the DR process

enabling high-resolution profiling of the SIDC-DR potential in the CV evaluation.Simulation results from numerical studies conducted on a modified IEEE-33 node distribution system confirmed the effectiveness of the proposed approach and highlighted the potential benefits of SIDC-DR utilization in the efficient operation of future power systems.