Improved Analytical Triple-2D Leakage Inductance Model of Cone Winding Matrix Transformers

The transformer leakage inductance is one of the limiting factors for pulse shape quality in high voltage pulsed power (HVPP) converters that are essential applications such as cancer treatment, particle accelerators, and free electron lasers. Cone winding matrix (CWM) transformers commonly used HVPP they offer low insulation distance. This paper proposes an improved Triple-2D (iT2D) model CWM transformers. iT2D identifies three basic cross sections calculates their associated contributions. accurate compact analytical formula contribution resulting from magnetic energy stored between cores. For with cone windings, expression presented computes per unit length non-parallel windings. verified measurements finite element simulations prototypes. solutions ensure applicability to arbitrary geometric aspect ratios designs. Furthermore, rapidly executable enabling its time-efficient integration converter optimisations.