Estimating turbogenerator foundation parameters: model selection and regularization

Estimating a model of the foundation of large machines, such as turbogenerators, is vital for tasks such as fault diagnosis and modal balancing. Unfortunately, it is rarely possible to perform a modal test on the foundations without the rotor present. This paper considers a method to estimate a foundation model using response data from a run–down, using the inherent unbalance of the rotor to excite the foundations. The method requires an accurate model of the rotor and an approximate model of the bearings. Of critical importance is the quality of the model, which may be defined as the ability of the model to predict the response to unbalance excitations that are different from that present for the identification. It is shown in this paper that correct model selection and regularization are vital to produce a foundation model that meets this predictability criterion. The method is validated using simulated data and also experimental data from a test rig with a 4 m long rotor with four fluid film bearings.

[1]  P. Hansen The discrete picard condition for discrete ill-posed problems , 1990 .

[2]  E. C. Levy Complex-curve fitting , 1959, IRE Transactions on Automatic Control.

[3]  Johan Schoukens,et al.  Identification of linear systems , 1991 .

[4]  Eric J. Hahn,et al.  Including foundation effects on the vibration behaviour of rotating machinery , 1995 .

[5]  David L. Brown,et al.  Modal Parameter Estimation: A Unified Matrix Polynomial Approach , 1994 .

[6]  Y. M. Ram,et al.  Structural Parameter Identification in the Frequency Domain: The Use of Overdetermined Systems , 1987 .

[7]  Uwe Prells,et al.  Estimating turbogenerator foundation parameters , 1998 .

[8]  John E. Mottershead,et al.  Combining Subset Selection and Parameter Constraints in Model Updating , 1998 .

[9]  Lennart Ljung,et al.  Frequency domain versus time domain methods in system identification , 1981, Autom..

[10]  David MacLeish Smith Journal Bearings in Turbomachinery , 1969 .

[11]  Hendrik Van Brussel,et al.  Frequency domain direct parameter identification for modal analysis: State space formulation , 1989 .

[12]  Aly El-Shafei Modeling fluid inertia forces of short journal bearings for rotordynamic applications , 1995 .

[13]  John E. Mottershead,et al.  Finite Element Model Updating in Structural Dynamics , 1995 .

[14]  Charles L. Lawson,et al.  Solving least squares problems , 1976, Classics in applied mathematics.

[15]  H. G. Natke,et al.  Properties of various residuals within updating of mathematical models , 1995 .

[16]  J. Leuridan,et al.  Time Domain Parameter Identification Methods for Linear Modal Analysis: A Unifying Approach , 1986 .

[17]  John E. Mottershead,et al.  REGULARISATION METHODS FOR FINITE ELEMENT MODEL UPDATING , 1998 .

[18]  Simon Braun,et al.  Time and frequency identification methods in over-determined systems , 1987 .

[19]  Norman S. Nise,et al.  Control Systems Engineering , 1991 .

[20]  J. Schoukens,et al.  Parametric identification of transfer functions in the frequency domain-a survey , 1994, IEEE Trans. Autom. Control..