关键词: 缩比方程;静拉力状态;低速前进状态;螺旋桨数学模型;通用算法

Abstract: In order to effectively build the propeller mathematical model and the turboprop engine mathematical model, and to lay the foundation for the turboprop engine control laws design, by referring to the scaling method of the component characteristics of the compressor, the revised scaling equation of the component characteristics suitable for the propeller was proposed. The modeling optimization algorithm of the propeller under the static thrust state was proposed based on the static characteristics of the propeller. Two different propeller modeling algorithms were proposed respectively based on the operating characteristics of the propeller in the low-speed forward state and high-speed forward state so that the propeller mathematical model built based on the proposed algorithms can be simulated under any flight conditions in the full flight envelope. Compared with the simulation data of GSP software, the results show that the maximum relative errors of the output thrust, power and efficiency of propeller mathematical model built based on the proposed algorithms do not exceed 3×10^-6, 3×10^-6 and 6×10^-5 respectively, and they also verify the effectiveness and versatility of the proposed algorithms.

Key words: Scaling equations;Static thrust state;Low-speed forward state;Propeller mathematical model;General algorithm