"I ask you to release the full, detailed modelling assumptions to allow their review and assessment," according to the letter obtained by Fairfax Media.
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The 61-page paper did not contain the full calculations that would allow others to test and reproduce its results.
Fairfax Media approached the board for comment.
Josh Frydenberg, the environment and energy minister, defended the board's disclosure, saying the paper released to the other jurisdictions on Wednesday contained detailed assumptions and referenced information contained in other documents, such as the Australian Energy Market Operator.
“Independent modelling released by the expert Energy Security Board shows that households under the National Energy Guarantee will be $550 a year better off than they are today," Mr Frydenberg said. "The modelling details assumptions around electricity demand, retirements, fuel costs, batteries, committed builds, state based polices, emissions targets, exchange and inflation rates and much more.”
Bruce Mountain, head of the Victorian-government backed Victoria Energy Policy Centre, said key questions remained about the forecasts made about the policy that could only be answered if the full modelling calculations were released.
"The key question is this: the ESB predicts not a single megawatt of additional generation, renewable or not, with the [policy], than without," Dr Mountain said. "How then can it predict wholesale prices to be 35 per cent [or more] lower and also say that without the [scheme] renewable investment will halt?"
Mr Frydenberg this week said he was confident his policy - which aims to combine emissions reductions with bolstering grid stability and cutting power prices - would be accepted by the states and territories and his own partyroom.
“The guarantee means lower prices and more reliability," he said. "Labor’s 45 per cent emissions reduction target has been described by the business community as 'economy wrecking' and is a recipe for higher prices and a less reliable system.”