| Citation: | TANG Hongwei, XIE Wenping, CUI Yi, et al. Hybrid algorithm for aero-engine model solving based on Levenberg-Marquardt algorithm[J]. Journal of Aerospace Power, 2023, 38（2）：371-381 doi: 10.13224/j.cnki.jasp.20210367
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In order to reduce the convergence requirements for solving the nonlinear model of aeroengine, the problem of solving the model nonlinear equations was transformed into the least square problem. A hybrid algorithm based on Levenberg-Marquardt (L-M) algorithm was proposed. The hybrid algorithm avoided the local solution by modifying the local solution with dynamic method. Meanwhile, Broyden quasi-Newton method was used to accelerate the L-M algorithm. Targeting turbofan engine, the hybrid algorithm, L-M algorithm, Newton method and Broyden quasi-Newton method were used for steady-state and transient simulation. Results showed that: under the steady-state condition, if L-M algorithm and hybrid algorithm had larger convergence range, the convergence rate can reach more than 90% under the random initial value condition, much higher than the convergence rate of Newton method and Broyden quasi-Newton method which was less than 20%, and the calculation speed of hybrid algorithm was similar to that of Broyden quasi-Newton method. Under transient condition, L-M algorithm and hybrid algorithm can converge at strong transient condition where neither Newton method nor Broyden quasi-Newton method converged, and the transient computation time of hybrid algorithm was only 1.13 times that of Broyden quasi-Newton method. Simulation results show that the algorithm has good applicability in solving aero-engine model solving.
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