Transfer function of each converter

From here, we embark on a new chapter, “Transfer Functions for Converters”. Using the concepts introduced in the previous chapter on “The State-Space Averaging Method“, we derive transfer functions for various control modes.

As we stated previously, the “part to be derived” is the in Figure 1 below.

In fact, from here we have repetition of a fairly monotonous task. Do you remember the applicable theme here, explained in the initial section?

To summarize the initial section, “the theme here is determining the transfer functions of DC-DC converters, but it was thought that the great variety of transfer functions could be summarized in a single unified approach, and so we decided, when addressing the derivation of transfer functions for DC-DC converters, to make a ‘common approach’ our goal.”

The path we have taken up to this point is a “monotonous unified approach” for the purpose of commonization or sharing of transfer functions, culminating in the transfer function sharing shown in Figure 2. In other words, the monotony of the tasks from here on out was, in a sense, the original goal.

From the next section, we shall derive transfer functions for step-down converters, step-up converters, and step-up/down converters, with a view to sharing of transfer functions.