The national carbon market is the major market mechanism supporting China's “30•60” target. This market involves natural sciences, such as energy technology and climate science, and social sciences, such as politics and economics related to energy economy, policy, and human behavior. This makes the carbon market a typical cyber-physical-social system in energy (CPSSE). This paper focuses on modeling objective physical parameters associated with market participants. The paper proposes a model and value assignment method for unit-level heterogeneous parameters and constructs a unit-level dataset of national carbon market participants. The influences of the heterogeneous levels of different parameters on the micro supply-demand balance are then evaluated. The study details the quantitative influences of the proportion of units without key parameter measurements and the shape of the distribution of the units' coal consumption rates. This study establishes a unit-level model and parameter foundation for conducting a national carbon market hybrid simulation.