A self-tuning Broyden quasi-Newton method combined with computing divergence mechanism judging and tuning was proposed. By combining the quadratic convergence of Newton-Raphson method and the super-linear convergence of Broyden quasi-Newton method

the proposed method had higher computing performance in calculation of nonlinear system. Targeting variable cycle engine component-level model

the steady state and dynamic simulation have been calculated by Newton-Raphson method

Broyden quasi-Newton method and the self-tuning Broyden quasi-Newton method. Results shows that

the self-tuning Broyden quasi-Newton method has greater adaptability

faster calculation speed and stronger convergence. The component computing times of the self-tuning Broyden quasi-Newton method is 15% of the Newton-Raphson method in dynamic simulation

the dynamic error is lower than 15% of the Broyden quasi-Newton method and 28% of the Newton-Raphson method

the maximum amount of residual is lower than 25% of other methods. These results prove the self-tuning Broyden quasi-Newton method superiority

the objective of the proposed method has been achieved.