In the field of rotor balancing, the traditional influence coefficient method is often employed along with weighted least squares in order to reduce amplitude vibrations, typically at selected rotating speeds such as critical or operating ones. Usually, these weights are manually selected by the operator. In this paper, an automatic procedure for the balancing mass estimation based on robust regression methods is introduced. The analysis is focused on high breakdown-point and bounded-influence estimators. The effectiveness and robustness of the proposed balancing procedure are shown by means of simulations of a 180 MW gas turbo generator of a power plant.

1.
Coakley
,
C. W.
, and
Hettmansperger
,
T. P.
, 1993, “
A Bounded Influence, High Breakdown, Efficient Regression Estimator
,”
J. Am. Stat. Assoc.
0162-1459,
88
, pp.
872
880
.
2.
Adams
,
M. L.
, 2001,
Rotating Machinery Vibration: From Analysis to Trouble Shooting
,
Marcel Dekker
,
New York
.
3.
Muszyńska
,
A.
, 2005,
Rotordynamics
,
CRC
,
Boca Raton, FL
.
4.
Allaire
,
P. E.
,
Foiles
,
W. C.
, and
Gunter
,
E. J.
, 2000, “
Min-Max Optimum Flexible Rotor Balancing Compared to Weighted Least Squares
,”
Proceedings of the Seventh International Conference on Vibrations in Rotating Machinery, IMechE
, Nottingham, UK, pp.
141
148
.
5.
Fox
,
J.
, 2002,
An R and S-PLUS Companion to Applied Regression
,
Sage
,
Thousand Oaks, CA
.
6.
Huber
,
P. J.
, 1981,
Robust Statistic
,
Wiley
,
New York
.
7.
Pennacchi
,
P.
, 2008, “
Robust Estimate of Excitations in Mechanical Systems Using M-Estimators—Theoretical Background and Numerical Applications
,”
J. Sound Vib.
0022-460X,
310
(
4–5
), pp.
923
946
.
8.
Rousseeuw
,
P. J.
, and
Yohai
,
V.
, 1984, “
Robust Regression by Means of S-Estimators
,”
Robust and Nonlinear Time Series Analysis
,
J.
Franke
,
W.
Härdle
, and
D.
Martin
, eds.,
Lecture Notes in Statistics
, No.
26
,
Springer-Verlag
,
Berlin
, pp.
256
272
.
9.
Yohai
,
V. J.
, 1987, “
High Breakdown-Point and High Efficiency Robust Estimates for Regression
,”
Ann. Stat.
0090-5364,
15
(
2
), pp.
642
656
.
10.
Croux
,
C.
,
Haesbroeck
,
G.
, and
Joossens
,
K.
, 2008, “
Logistic Discrimination Using Robust Estimators: An Influence Function Approach
,”
Can. J. Stat.
0319-5724,
36
(
1
), pp.
157
174
.
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