Dynamic response of a power-transformer winding under axial short-circuit conditions

A model for the dynamic response of a vertical transformer winding, considered as a continuous elastic solid, which produces a partial differential equation, is developed. This model is proposed as a simple means by which some of the many design requirements of large power transformers can be examined. An example is considered and initial and boundary conditions for the partial differential equation are obtained. Various numerical methods of solution are suggested and the computed solution is validated by comparing them with results obtained by other methods.