And it doesn't matter for the dissipated power if that's in long bursts of lower voltage or short bursts of high voltage. .. Does it?
In the capacitor-switch-capacitor scenario it does not matter. Look at it from the point of view of power equation. The maths are at the end, if you are interested.
Maybe I'm just failing to understand the inductive characteristics of a MOSFET (judging by your hint about an inductor) causing the extra power losses?
No, I mean an actual inductor. As seen in the buck converter.
To get lower voltage, we need to get rid of some of the energy. If we only used a switch (as in capacitor-switch-capacitor), that energy is lost in the switch and wires. If we use an inductor, the element in which energy is “lost” is that inductor. However, the energy is not really lost: it is used to charge the inductor. Then it is dumped into the capacitor.
In the first part of a cycle the inductor is charged, taking in energy from the power source. In the second part of the cycle circuit is switched, so the inductor puts that energy into the “storage” capacitor. Both cycles are balanced, so exactly the right amount of energy is transferred to get just the right voltage.
The maths:LED uses some approximately constant power (
PLED). After the capacitor is initially charged, it receives and dumps the same amount of energy in each cycle
(1), so it can be eliminated from the equation. So the source must deliver the same amount of power (
PSRC) as the LED consumes:
PLED =
PSRC.
The average power LED sees is:
PLED =
VLED ·
I. Note that I didn’t put a subscript on
I, as the average current remains constant from source through the switch and LED. For completeness, power from the source is:
PSRC =
VSRC ·
I.
Since we know both power values must be equal, we get:
VLED ·
I =
VSRC ·
IDividing both sides by
I (current isn’t 0, if we consider energy being transferred), we get:
VLED =
VSRCTherefore: if there is no losses across the switch+wires, both voltages can only be equal. That is against the goal of having the voltages different. From that we may conclude there must be some losses at the switch+wires. So we get a simple equation, where we sum three values of power, with two of them being fixed. That obviously means the third one is also fixed. So the average power lost in switch+wires must remain fixed, not matter if it’s pulsed or not. Of corse instantenous power will vary, but not the average one.
(1) Assuming an ideal capacitor. With a real one the losses in the capacitor are treated as the load (LED).