Dynamic behaviour of transformer winding under short-circuits

The work presented in this thesis contributes to the understanding of the dynamic behaviour of large power transformer windings under short circuit forces. A simple yet accurate method of prediction of electromagnetic forces is developed and used as input to the dynamic mechanical model. In developing this model the mechanical properties of oil-impregnated pressboard have been investigated and measured in a specially designed rig which simulates the typical power transformer environment. Assumptions have been made regarding these properties to enable them to be meaningfully incorporated in a dynamic model of a transformer. Predictions made using the model have been compared with actual measurements on a transformer and a correlation within 20%-30% was achieved. The work demonstrated the importance of mechanical prestress to ensure that no serious nonlinearities will be encountered in the mechanical behaviour when short-circuit forces are present in a power transformer. It was also found that for small radial deflections, the axial and radial behaviours are independent. This work provides a theoretical basis for further work in which precise determinations of the mechanical properties of oil-impregnated pressboard can be used to model the dynamic behaviour of a large transformer to a high degree of accuracy.

[1]  Mukund R. Patel Dynamic Response of Power Transformers Under Axial Short Circuit Forces Part I - Winding and Clamp as Individual Components , 1973 .

[2]  M. Waters The measurement and calculation of axial electromagnetic forces in concentric transformer windings , 1954 .

[3]  C. M. Arturi,et al.  Force calculation in transformer windings under unbalanced MMFs by a non-linear finite element code , 1992 .

[4]  Yasuro Hori,et al.  Axial Vibration Analysis of Transformer Windings Under Short Circuit Conditions , 1980, IEEE Transactions on Power Apparatus and Systems.

[5]  E. T. Norris Mechanical strength of power transformers in service , 1957 .

[6]  Stephen P. Timoshenko,et al.  Vibration problems in engineering , 1928 .

[7]  D.O. Swihart,et al.  Dynamic stiffness and damping of transformer pressboard during axial short circuit vibration , 1976, IEEE Transactions on Power Apparatus and Systems.

[8]  M. G Say The Performance And Design Of Alternating Current Machines Ed.3rd , 1958 .

[9]  M. Waters,et al.  The short-circuit strength of power transformers , 1966 .

[10]  B. Hague,et al.  Electromagnetic problems in electrical engineering , 1929 .

[11]  Jean-Pierre Martin,et al.  SPECIFICS OFTHESHORT-CIRCUIT BEHAVIOR OFCONCENTRICALLY-WOUND TRANSFORMERSANDAUTOTRANSFORMERS , 1980 .

[12]  Mukund R. Patel Dynamic Response of Power Transformers Under Axial Short Circuit Forces Part II - Windings and Clamps as a Combined System , 1973 .

[13]  A. B. Madin,et al.  The dynamic behaviour of a transformer winding under axial short-circuit forces , 1963 .

[14]  D. Swihart,et al.  Short Circuit Vibration Analysis of a Shell Form Power Transformer , 1980, IEEE Transactions on Power Apparatus and Systems.

[15]  G. B. Watts A mathematical treatment of the dynamic behaviour of a power-transformer winding under axial short-circuit forces , 1963 .