[0] https://scholar.google.com/scholar_lookup?author=M.+Bianchi&...
I bet you're doing something throughout the day. Maybe not making toast, but cooking, ironing, heating, cooling, watching TV etc. I'm not sure you can rely on any excess energy being available for storage if you're not connected to the grid.
>The idea behind individual solar energy is not consuming it real time but associating it with a storage solution to allow bigger throughput.
If that's the idea then you are exposing a major issue with solar. Namely: in order to rely solely on solar (+battery), you need a solar deployment that covers your energy needs now + energy to charge battery for when the sun isn't shining (taking into account the associated loss of storing and retrieving power from battery). This means that you need to oversubscribe/over capitalize solar to charge up the battery (which then lowers your total efficiency) in order to bridge daily and seasonal variability in solar output. This means that you need generation capacity that probably exceeds the surface area available to what a typical house or apartment can provide and explodes your costs.
This has major implications for large scale solar+battery deployments because at that scale, there is no grid to fall back on (which is why solar ALWAYS needs reliable backup generation - which is typically gas or biofuels). This is why solar+battery is never going to be cost-effective because you're always going to be forced to over-build infrastructure that will sit idly doing nothing most of the time.
This doesn't even touch on the fact that there is no actual battery technology that keep enough load to power a modern city overnight, much less to bridge seasonal variability at that scale (where the battery would be expected to keep enough energy for weeks at a time).
I'm sure there are plenty of such people, but those people don't really factor when you take into account the society as a whole. The vast majority of people and businesses cannot live off grid.
Also, the reported 29.1% efficiency have been reached at a temperature of 1,207 °C.
Regarding the article posted here (and since a drone with a furnace is not feasible) I went with solar.
The original paper says "unmanned vehicles" (no aerial) and has a reference [0] to "unmanned undersea vehicles".
[0] https://www.pnas.org/content/early/2019/07/15/1903001116#ref...
100 megawatts is followed by "[providing] electricity for 36,000 homes."
The original paper does not mention lightweight aerial vehicles as an application, but a drone is mentioned in the title (and shown in the top image) of the article.
Applications mentioned in the paper are: hybrid cars, unmanned vehicles, deep-space probes, energy storage, enabling efficient cogeneration systems for heat and electricity.
(A less-misleading title might even be: "New thermophotovoltaic engine for deep-space probes")
Another 12% and they can compete with a standard steam turbogenerator.
As animats already said, turbine efficiency on power plants is very near the theoretical optimum. The only way left to improve it is by increasing the temperature.