What about something unexpected like superconducting transmission lines between temporal energy producing / consuming zones?
Apparently, according the wiki, in 2012 we were at type rating 0.724, presumably a large portion of that is non-renewable sources like coal/petroleum/natural gas.
Interesting that TypeII is almost a quantum leap over the TypeI - construction of a dyson sphere sounds like an almost unimaginably massive undertaking compared to blanketing the globe with solar cells.