# Transformer Optimization of DCX for Higher Efficiency and Less Output Capacitors of Sigma Voltage Regulator

_{out}). Smaller Rout and Lout are preferred for smaller loss and faster transient dynamic response.

An optimization example of the DCX transformer for smaller Rout and Lout are shown in Fig.2 using the concept of Matrix transformer. Take the 6:1 transformer design for example, the original design of this transformer is just simply composed by a six primary winding and one set of secondary winding rounding the same core. By matrix transformer concept, the primary winding could be divided into two in-series 3:1 winding, and the secondary winding could be two set of winding paralleling together.

By this new structure, the winding resistance of the transformer could be reduced to half of the original design, and the efficiency can be improved. Not only will this structure reduce the winding resistance, but also the leakage inductance of the transformer will be which is reduced by around 50%. Further improvement of this concept can be applied by dividing the primary winding into three 2:1 in-series windings, three set of secondary winding are paralleled. This further reduces the winding resistance as well as the leakage inductance. The efficiency improvement and less output capacitors can be achieved by the smaller R

_{out}and L

_{out}as shown in Fig 3.