End-Winding Vibrations Caused by Steady-State Magnetic Forces in an Induction Machine

We conducted a 3-D electromagnetic analysis coupled with a 3-D mechanical analysis to analyze end-winding vibrations and deformation in an induction machine caused by steady-state magnetic forces on the end winding. Both the analyses were based on the finite-element method. The electromagnetic analysis was used to calculate magnetic forces. During the mechanical analysis, complex support structures in the end region were simplified. We first updated and validated the mechanical model according to a modal model obtained from a modal test, and afterward analyzed deformation, vibrations, and stresses. According to the analysis, the shape of the rotary dynamic deformation of the end winding caused by dynamic forces is similar to the most excitable mode shape though the natural frequency of that mode is much higher than the excitation frequency. The static deformation caused by static forces tends to expand the coil ends outward. Under both types of deformation, the nose portion of the coil ends experiences larger displacement, but von Mises stresses are larger mainly in the knuckle portion.

[1]  J. Demeko,et al.  New Tools to Monitor Critical Vibration of End-windings in Turbo-generators , 2007, 2007 IEEE International Electric Machines & Drives Conference.

[2]  J. A. Tegopoulos Forces on the End Winding of Turbine-Generators I - Determination of Flux Densities , 1966 .

[3]  A. Arkkio,et al.  Calculation and Analysis of Stator End-Winding Leakage Inductance of an Induction Machine , 2009, IEEE Transactions on Magnetics.

[4]  Ki-Chan Kim,et al.  Analysis of electromagnetic force distribution on end winding for motor reliance , 2005, INTERMAG Asia 2005. Digests of the IEEE International Magnetics Conference, 2005..

[5]  M. Holmberg,et al.  Three-dimensional Finite Element Computation of Eddy Currents in Synchronous Machines , 1998 .

[6]  A. Arkkio,et al.  Validation of a Time-Harmonic Numerical Model for Solving Magnetic Field in End Region of a Radial-Flux Machine , 2009, IEEE Transactions on Magnetics.

[7]  Yujing Liu,et al.  Analysis of forces on coil ends of formed stator windings , 2007, 2007 International Conference on Electrical Machines and Systems (ICEMS).

[8]  Wei Tong Numerical Analysis of Flow Field in Generator End-Winding Region , 2008 .

[9]  C. Mechefske,et al.  Theoretical, numerical, and experimental modal analysis of a single-winding gradient coil insert cylinder , 2006, Magnetic Resonance Materials in Physics, Biology and Medicine.

[10]  F. Hauser,et al.  Deformation and Fracture Mechanics of Engineering Materials , 1976 .

[11]  M. Patel,et al.  End-Winding Vibrations in Large Synchronous Generators , 1983, IEEE Transactions on Power Apparatus and Systems.

[12]  S.J. Salon Finite element analysis of electric machinery , 1990, IEEE Computer Applications in Power.

[13]  S. Salon,et al.  Electromagnetic Forces on the Armature End Windings of Large Turbine Generators I - Steady State Conditions , 1981, IEEE Transactions on Power Apparatus and Systems.

[14]  D. Askeland,et al.  The science and engineering of materials , 1984 .

[15]  Zhang Jianzhong,et al.  Vibration measurement of the generator stator end windings and precautions against insulation wearing , 1998, POWERCON '98. 1998 International Conference on Power System Technology. Proceedings (Cat. No.98EX151).

[16]  Randall J. Allemang,et al.  THE MODAL ASSURANCE CRITERION–TWENTY YEARS OF USE AND ABUSE , 2003 .

[17]  Geoff Klempner,et al.  Operation and maintenance of large turbo generators , 2004 .

[18]  R.D. Stancheva,et al.  3-D Electromagnetic Force Distribution in the End Region of Turbogenerator , 2009, IEEE Transactions on Magnetics.

[19]  D. Zarko,et al.  Turbogenerator end winding leakage inductance calculation using a 3-D analytical approach based on the solution of Neumann integrals , 2003, IEEE International Electric Machines and Drives Conference, 2003. IEMDC'03..

[20]  Implementation of surface impedance boundary conditions in the cell method via the vector fitting technique , 2007 .

[21]  David J. Ewins,et al.  Modal Testing: Theory, Practice, And Application , 2000 .

[22]  A. J. Hoffman,et al.  DETECTING LONG-TERM TRENDS IN TURBO-GENERATOR STATOR END-WINDING VIBRATIONS THROUGH NEURAL NETWORK MODELLING , 2002 .

[23]  A. Arkkio,et al.  3-D Finite Element Analysis of Magnetic Forces on Stator End-Windings of an Induction Machine , 2008, IEEE Transactions on Magnetics.

[24]  O. Drubel,et al.  End winding deformations in different turbo generators during 3-phase short circuit and full load operation , 2000 .

[25]  Geoff Klempner,et al.  Operation and Maintenance of Large Turbo-Generators: Klempner/Turbo-Generators , 2005 .

[26]  N. Szylowicz,et al.  Modelling the vibration behaviour of stator end windings , 1997 .

[27]  S. Somkun,et al.  Effect of Magnetostriction Anisotropy in Nonoriented Electrical Steels on Deformation of Induction Motor Stator Cores , 2009, IEEE Transactions on Magnetics.

[28]  Xuhui Wen,et al.  Calculation of forces on the stator end windings of turbogenerator by the transient quasi-3D method , 1996 .

[29]  J. F. Calvert Forces in Turbine Generator Stator Windings , 1931, Transactions of the American Institute of Electrical Engineers.

[30]  G. W. Buckley,et al.  Calculation of Forces and Stresses on Generator End-Windings-Part I: Forces , 1989, IEEE Power Engineering Review.

[31]  S. Salon,et al.  Electromagnetic Forces on the End Windings of Large Turbine Generators. II. Transient Conditions , 1983, IEEE Transactions on Power Apparatus and Systems.

[32]  D. Hoppe Impedance Boundary Conditions In Electromagnetics , 1995 .

[33]  H. Yamaguchi,et al.  Mechanical Behavior of Stator Endwindings , 1980, IEEE Transactions on Power Apparatus and Systems.

[34]  J. Awatani,et al.  A study of the fatigue limit of copper , 1975 .

[35]  Antero Arkkio,et al.  Analysis of induction motors based on the numerical solution of the magnetic field and circuit equations , 1987 .

[36]  A. Merkhouf,et al.  Generator end windings forces and natural frequency analysis , 2003, IEEE International Electric Machines and Drives Conference, 2003. IEMDC'03..

[37]  R. Sewak,et al.  Intricate aspects Of turbogenerator endwinding vibration monitoring based on data analysis , 2008, 2008 International Conference on Condition Monitoring and Diagnosis.

[38]  D. Shally,et al.  Generator end winding vibration monitoring , 2008, 2008 43rd International Universities Power Engineering Conference.