Prolonged power outage payments of $1920 a week for households and $2927 a week for businesses were announced on Friday after the storms swept through Victoria on February 13.
Households and businesses are eligible for the payments, jointed funded by the state and federal governments, after spending at least seven days off power.
Power distribution companies were charged with distributing the payments, which were capped at up to three weeks.
Energy Minister Lily D'Ambrosio said AusNet, the main supplier hit by the widespread outages, advised her on Tuesday night its website application system was not ready despite previous assurances it would be.
She said the delay was not on and made her anger clear in conversations with the provider.
"Here is another example where a privatised power company has failed to deliver in time for communities that are in need," Ms D'Ambrosio told reporters at state parliament on Wednesday.
"It is absolutely unacceptable."
She said she was "not polite" in urging AusNet to publish an explanation to customers on its website.
"I'm very frank about what my expectations are of these companies," Ms D'Ambrosio said.
"They are accountable as essential services to make sure their systems are ready and in place as we were assured over the weekend.
"Our inquiry will go down to the root of their systematic failure to respond in sufficient time."
On its website, AusNet advised customers people are eligible for the relief payment from Tuesday, but they cannot submit their applications until Thursday while it updates its systems.
There are 1485 homes and businesses still without power as a result of the storms but all are expected to be reconnected by Friday.
The state government has announced it will set up an expert panel to review the blackout, which disconnected power to 530,000 properties across the state.
An expert review was commissioned after devastating storms smashed the state in June and October of 2021, cutting power to 297,000 and 526,000 customers at their respective peaks.
The state opposition has dubbed the latest iteration a "sham review", pointing to its undefined reporting date, yet-to-be finalised scope and inability to scrutinise the government's role.
It will push ahead with an upper house motion to establish a parliamentary inquiry into the reliability of the transmission network.
"We know where the blame lies. It lies at the foot of the Allan Labor government," Opposition Leader John Pesutto said.
"The government running its own inquiry is just a means by which it can shut the door on transparency and scrutiny, but what we really need are the solutions going forward."
Victoria's 6000km high-voltage electricity transmission system is owned and maintained by AusNet.
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