When a medical infusion pump is used with a disposable pump infusion set for infusion, the changes in infusion accuracy caused by ambient temperature, infusion time and speed will affect the treatment effect. For this reason, this paper studies the effect of using a pump infusion set on the infusion accuracy with the increase of infusion time under the conditions of different temperatures and medium and high flow rates, a triple logarithmic total model and a logarithmic + hyperbolic total model of infusion time, infusion temperature, and infusion flow rate on infusion accuracy are established. Infusion experiments with flow rates of 100ml/h, 200ml/h, 500ml/h and 1000ml/h are carried out at temperatures of 10°C, 20°C and 30°C, respectively. The univariate effects of time, temperature and flow rate on the infusion accuracy are explored respectively. Finally, the prediction analysis of the univariate model, the parameter identification of the total model and the prediction analysis are carried out. Under the experimental conditions, the root mean square errors of the univariate models are all less than 0.01, and the coefficients of determination are all greater than 0.96. The relative errors between the predicted values of the time and flow velocity models and the actual values are all less than 10%, and the error of the former is even greater, basically less than 1%, the root mean square error of the total model is less than 0.01, the coefficient of determination is greater than 0.93, and the relative error between the predicted value of the total model and the actual value is less than 10%, which verifies the accuracy and effectiveness of the built model. It provides a theoretical basis for calibrating the infusion errors caused by time, temperature and flow rate.