Nonlinear transformer-winding synthesis for improved surge-voltage distribution

The paper shows that the capacitance and inductance distributions within a power transformer can be so synthetised that an acceptable transient surge-voltage distribution can be obtained without necessarily requiring the reinforcement of end turns. This process can furthermore be carried out without contravening practical requirements, in particular without increasing a given transformer frame size. Linear, exponential and hyperbolic-sine distributions are considered in the paper, although the method, in fact, extends to any arbitrarily chosen function of voltage distribution. The effect of a particular distribution on the main geometric parameters of the transformer windings is then established in such a way that they can be incorporated in the transformer design. It is shown that arrangements giving initial and final voltage distributions of exponential and hyperbolic-sine form, respectively, are likely to be satisfactory to the designer.