Abstract: The present disclosure provides an extrapolation method of low rotational speed characteristics of a compressor, which is suitable for acquisition the low rotational speed characteristics of a gas turbine on the ground or an aircraft engine, the extrapolation method takes into account an application condition of a similarity principle and specialties of the low rotational speed operation condition of the compressor, and comprises modifying exponents of the similarity principle to obtain the optimal exponents by an optimization algorithm, and applying a coefficient fitting method for a variable operating condition calculation of the gas turbine to the extrapolation of low rotational speed characteristic of the compressor to obtain the low rotational speed characteristic.