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Baseload by definition is that load which is constant 24/7 on the grid as a whole. In other words, the minimum load routinely reached overnight (as distinct from the extreme minimum which is infrequent).I wonder if every residence should have free base load of power - what the baseload is I could not say, but use beyond that baseload then pay on a escalating scale.
As for how much of total electricity generation that is, it varies between states somewhat. It is high in Qld and Tas since minimum loads are still fairly high relative to maximum loads due to the high % of total load going into 24/7 manufacturing and other heavy industry in both states and also due to the widespread use of centrally switched off-peak water heating in Qld.
At the other end is SA where minimum load is less than a quarter of maximum load due to the huge spikes driven by air-conditioning and a relative lack of 24/7 heavy industry. The other states are somewhere in between.
In the context of peaks, it's generally on a Summer afternoon (around 3pm) except in Tas where it's during Winter (typically around 8am with a second peak around 6pm). NSW is notable for having a Summer and Winter peak of similar magnitude whereas in the other states there is a large difference between the seasons.
Reasons for the peaks are basically air-conditoning in all states except Tas, and space heating in NSW and Tas. The widespread use of non-electric heating in Vic, SA and WA is such that Winter electricity demand isn't really an issue even though they do use quite a lot of heating.