Based on strip theory and force analysis on the blade element

calculation equations of propeller drag and power was deduced

and then a real-time mathematical model of propeller was built. It was concluded that resolution of the model was decided by the interfercence angle interation

and the key problems of guaranting real-time calculation lied in the iteration of convergence rate of interference angle. After analysis of iteration function and its derivative

method of setting initial iterative value of interference angle was proposed and secant method was adopted to accelerate the iterative instead of derivation method. Comparison between the experiment data and computational propeller properties of mathematical model showed that

the propeller drag and power deduced from strip theory and force analysis on the blade element has satisfactory precision

and the convergence rate of the interference angle iteration algorithm based on initial iterative value setting and secant method could meet the requirement of real-time simulation of turboprop engine control system.