For a brief period over several weekends this spring, the state of South Australia, which has a population of 1.8 million, did something no other place of a similar size can claim: generate enough energy from solar panels on the roofs of houses to meet virtually all its electricity needs.

This is a new phenomenon, but it has been coming for a while – since solar photovoltaic cells started to be installed at a rapid pace across Australia in the early 2010s. Roughly one in three Australian households, more than 3.6m homes, now generate electricity domestically. In South Australia, the most advanced state for rooftop solar, the proportion is nearly 50%.

No other country comes close at installing small solar systems on a per capita basis. “It’s absolutely extraordinary by world standards,” said Dr Dylan McConnell, an energy systems analyst at the University of New South Wales. “We’re streets ahead.”

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There was no overarching plan that made Australia the world leader in household solar PV. Analysts mostly agreed that it was a happy accident, the result of a range of uncoordinated policies across tiers of government. Many were subsidy schemes that were derided as too generous and gradually scaled back, but the most important – an easy-to-access, upfront national rebate available to everyone – endured. It has helped make panels cost-effective and easy to install.

Cost was a big consideration for the Jamiesons – Sean, Deb and their 19-year-old daughter, Molly – when they installed a system on the four-bedroom house in a beachside suburb in South Australia’s capital, Adelaide, a decade ago. They upgraded to a larger 8kW system during a home renovation five years later, and have installed two batteries, the first subsidised as part of a state government scheme trialling household energy storage systems to help stabilise a power grid that increasingly runs on variable solar and wind power.

Sean Jamieson, a pilot with the airline Jetstar, said the setup had been “incredibly beneficial”, in part because his family uses a range of energy-hungry equipment, including a pool and hot tub. They first opted for solar after watching the price of grid electricity rise sharply, mainly due to the cost of rebuilding electricity transmission poles and wires. He said it has continued to make sense.

“I’m looking at paying it off [through savings on what annual power bills would otherwise have been] in three or four years, so it’s been a great investment,” he said of the household energy system. “Generally, solar is just a no-brainer in South Australia. We’ve got a lot of sunshine and the most expensive electricity in Australia, and in the beginning it was heavily subsidised.”