A mathematical steady-state design model for fully-integrated boost and buck DC–DC converters

Abstract

This brief discusses a mathematical steadystate model for fully-integrated boost and buck DC-DC converters, which takes all the significant resistive and dynamic power losses into account. The model provides a reduced calculation time by a factor 30 compared to SPICE. A 2%, or less, deviation in comparison with SPICE is achieved. The validation of the model through the measurements of both a fully-integrated boost and buck converter is demonstrated, resulting in an accuracy for the efficiency of 3 and 4% respectively.

Efficient optimization of fully-integrated inductive DC–DC converters comprising tapered inductor layout synthesis and temperature effects

“…This trend was measured in [17]. The existing model of [4] has been enhanced by the authors of this paper to incorporate these effects. Fig.…”

“…A high-level circuit model has been designed for this DC-DC boost converter in [4]. The model was designed starting from a time-domain description of the two phases in an inductive DC-DC boost converter.…”

“…No time-intensive SPICE simulations of the full circuit are therefore needed anymore. The model, as was designed in [4], takes into account the resistive and dynamic losses in the converter circuit and is implemented as a system of differential algebraic equations. Several design variables for this model are indicated in Table 1.…”

“…Several design variables for this model are indicated in Table 1. The reader is referred to [4] for a more in-depth discussion of the derivation of the differential algebraic equations, this is out of the scope of this paper.…”

“…6 for the unrolled tapered inductor. The total power loss in the substrate can now be calculated as in [4], using (11). Here, U C,max is the average ∆U over all subsets and C sub,i is the specific substrate capacitance of each subset.…”