Dynamic Modelling of Gas Turbine Engines

1. Identification of Reduced-Oder Dynamic Models of Gas Turbines CSC Student Seminars (Spring/Summer, 2006) PhD Student: Xuewu Dai Supervisor: Tim Breikin and Hong Wang

6. 3. Long-term Prediction a. One-step Ahead Prediction Model Model Model b. Long-term Prediction Model

10. Dynamic Gradient Descent

11. Results 1: deepest direction

12. BFGS direction

13. 5. Nonlinear Least-squares Optimization (Gauss-Newton)

15. Result 3 Gauss-Newton

16. Prediction of 1 st Order Model

18. High Order Model initial (by LSE) : [1.2805 -0.29191 0.10582 0.15903] final: [1.8604 -0.8641 0.07045 -0.007475]

21. Appendix

22. Initial value problem manual setting of initial value [0.5 0.5 0.5 0.5] [1.8604 -0.8641 0.07045 -0.007475] Final MSE=8.60188 setting initial value by LSE [1.2805 -0.29191 0.10582 0.15903] [1.8604 -0.8641 0.07045 -0.007475] Final MSE=3.313612

23. appendix