Herein,a general matrix model of carbon sensitivity is proposed to analyze and evaluate the carbon emission intensity from coal-fired units from an operational perspective,and the model's matrix filling rules are determined through matrix analysis.The conventional heat balance and equivalent enthalpy drop methods were used to verify the accuracy of the carbon sensitivity matrix model.The carbon sensitivity of the controllable operating parameters on the boiler,turbine,and generator sides under different fluctuation intensities was analyzed using the general carbon sensitivity matrix model,and the carbon sensitivity change rate was defined to evaluate the relationship between controllable operating parameters and carbon sensitivity.The carbon sensitivity factor is used to compare the carbon sensitivity of controllable parameters with different dimensions exhibiting similar fluctuations.The results showed that the controllable operating parameters,such as smoke exhaust temperature,smoke oxygen,slag discharge temperature,fly ash carbon content,main steam temperature,reheated steam pressure,reheated steam temperature,and plant power consumption rate,have approximately linear relationships with the carbon sensitivity index,while the main steam pressure,feed water temperature,and final stage height plus end difference have nonlinear relationships with the carbon sensitivity index.Based on the present analysis,the carbon-sensitive factors of main steam temperature,reheated steam temperature,feed water temperature,main steam pressure,power consumption rate,smoke oxygen,and smoke exhaust temperature were found to be 1.463,0.5071,0.3345,0.2221,0.08623,0.08579,0.07506,respectively.The results showed that unit operators can focus on monitoring and adjusting controllable operating parameters with large carbon-sensitive factors to reduce carbon emissions from the power plant,enabling the realization of carbon reduction goals.