Dynamic signals acquired from rotary machines can be characterized by the order tracking (OT) techniques. The extracted order components correspond to the operation of specific machine elements and reflect their current healthy or faulty states. The study extends the angular-velocity Vold–Kalman OT scheme to simultaneously extract multiple order components. Theoretical derivation is illustrated with simulation of processing three synthetic signals to show its merit. Additionally, as an example to validate its effectiveness, the improved OT scheme is used to process pass-by noise emitted from an electric scooter with a planetary-gear-set transmission system. The gear-meshing orders are effectively decoupled from structure-borne resonances.

1.
Potter
,
R.
, 1990, “
A New Order Tracking Method for Rotating Machinery
,”
Sound Vib.
0038-1810,
24
(
9
), pp.
30
34
.
2.
Vold
,
H.
, and
Leuridan
,
J.
, 1993, “
High Resolution Order Tracking at Extreme Slew Rates, Using Kalman Tracking Filter
,” SAE Technical Paper No. 931288.
3.
Leuridan
,
J.
,
Vander Auweraer
,
H.
, and
Vold
,
H.
, 1994, “
The Analysis of Nonstationary Dynamic Signals
,”
Sound Vib.
0038-1810,
28
(
8
), pp.
14
26
.
4.
Vold
,
H.
,
Mains
,
M.
, and
Blough
,
J.
, 1997, “
Theoretical Foundations for High Performance Order Tracking With the Vold-Kalman Tracking Filter
,” SAE Technical Paper No. 972007.
5.
Vold
,
H.
,
Herlufsen
,
H.
,
Mains
,
M.
, and
Corwin-Renner
,
D.
, 1997, “
Multi Axle Order Tracking With the Vold-Kalman Tracking Filter
,”
Sound Vib.
0038-1810,
31
(
5
), pp.
30
34
.
6.
Vold
,
H.
, and
Deel
,
J.
, 1997, “
Vold-Kalman Order Tracking: New Methods for Vehicle Sound Quality and Drive-Train NVH Applications
,” SAE Technical Paper No. 972033.
7.
Herlufsen
,
H.
,
Gade
,
S.
,
Konstantin-Hansen
,
H.
, and
Vold
,
H.
, 1999, “
Characteristics of the Vold-Kalman Order Tracking Filter
,”
Sound Vib.
0038-1810,
33
(
4
), pp.
34
44
.
8.
Feldbauer
,
C.
, and
Holdrich
,
R.
, 2000, “
Realization of a Vold-Kalman Tracking Filter—A Least Squares Problem
,”
Proceedings of the COST G-6 Conference on Digital Audio Effects
.
9.
Pan
,
M. -Ch.
, and
Lin
,
Y. -F.
, 2006, “
Further Exploration of Vold-Kalman-Filtering Order Tracking With Shaft-Speed Information—(I) Theoretical Part, Numerical Implementation and Parameter Investigation
,”
Mech. Syst. Signal Process.
0888-3270,
20
(
5
), pp.
1134
1154
.
10.
Pan
,
M. -Ch.
, and
Lin
,
Y. -F.
, 2006, “
Further Exploration of Vold-Kalman-Filtering Order Tracking With Shaft-Speed Information—(II) Engineering Applications
,”
Mech. Syst. Signal Process.
0888-3270,
20
(
6
), pp.
1410
1428
.
11.
Haykin
,
S.
, 2002,
Adaptive Filter Theory
,
Prentice-Hall
,
Upper Saddle River, NJ
, p.
07458
.
12.
Golub
,
H. G.
, and
Van Loan
,
C. F.
, 1996,
Matrix Computations
,
The Johns Hopkins University Press
,
Baltimore, MD
.
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