As an effective mechanism to achieve China's dual carbon goals

the impact of carbon emission rights allocation has become a crucial factor that needs to be considered in power quantity balancing.To address the issue of ineffective allocation of carbon emission rights resources under existing methods in the power industry

this study proposes an uncertainty power quantity balancing model under a carbon emission rights allocation scheme based on data envelopment analysis.Firstly

an analysis of carbon emission rights allocation policies is conducted

and a carbon emission rights allocation method based on data envelopment analysis is proposed.Secondly

considering the uncertainty introduced by the high proportion of renewable energy grid integration

a power quantity balancing model that incorporates carbon emission rights allocation is developed.The model is transformed into a solvable deterministic model using robust optimization methods based on multi-segment interval uncertainty sets.Finally

simulation results on the HRP-38 system demonstrate that the carbon emission rights allocation method based on data envelopment analysis can reduce carbon emission costs and effectively allocate carbon emission rights resources.This research provides technical support for formulating carbon emission rights allocation schemes in power quantity balancing analysis.