Arrangements of transformer winding with respect to impulse stress

Danger and stress posed to transformer winding through overvoltage still represent a hotly debated and hitherto unresolved technical issue the designers and operators of high-performance equipment have been grappling with. The actual impossibility of accepting all the real parameters of a transformer in its substitute model leaves considerable space for its constant improvement and modifications. Accepting the surrounding phenomena and properties of the transformers gives rise to complex situations and difficulties in the process of solving the model. Models tackling some of the issues pertaining to circuit models or electromagnetic field models have been developed on a long-term basis. Another issue in hand is the very complexity of the process of solving a model. This study introduces a model accepting solely the capacitance influences of transformer components, using the methods derived from the theory of Lax–Wendroff's and Lax–Friedrich's approximation of differential equations of the hyperbolic type for the solution of the respective equations. It does not represent solutions for all the parameters of a transformer, but provides an overview of the size of the initial impulse stress of transformer winding, doing so with adequate accuracy.